diff --git "a/data/dm_maths/full_data_2/10566_11255.jsonl" "b/data/dm_maths/full_data_2/10566_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10566_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(x) = 68*x + 212. Let o be z(-3). Sort -5, -45, o in increasing order.\nAnswer: -45, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w**0*w)\/w*w)\/w)\/w)\/w*w**(1\/40) assuming w is positive.\nAnswer: w**(1\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 4*z - 6*z = 2, 2*z = -c - 14 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 5. Let w = -278 - -2506\/9. Let n = 0.04 + 0.46. Which is the smallest value? (a) w (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*q - 274*q = -558*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(125) - (sqrt(125)*-1 + sqrt(125))).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/3, 2\/11, -0.355, 0.3.\nAnswer: -4\/3, -0.355, 0, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 11*m**9\/21 - m**8\/168 - 3*m**5\/20 - 53*m**3\/6 - m**2 + 2088*m. What is the third derivative of y(k) wrt k?\nAnswer: 31680*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7783.82 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by (-4 - -5)\/(6 - 7) + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5310999740 to the nearest integer?\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1a7a9 (base 11) to base 8\nAnswer: -70365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 318 = -38. Let s = 271 + b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*b - 10, -5*b = -2*f - 4 - 45. Let w be 37\/b*47944\/24. Let x = w + -6720. What is the common denominator of x and 67\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*250*(-4)\/(-8). Suppose -5*n + w + 0 = 0. Suppose -q + n - 13 = 0. What is the remainder when 45 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 2}. Give prob of sequence onno.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165) - (-1*(2*sqrt(165) + sqrt(165)) - sqrt(165) - sqrt(165)))\/(sqrt(3) + -1*sqrt(300)))\/(-2*(sqrt(405)*-1*-3 - sqrt(405))).\nAnswer: sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8954459\/82 or -109200?\nAnswer: -109200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 150*o - 2555. Let m be k(17). Sort -2, 2, m, -4, 33 in descending order.\nAnswer: 33, 2, -2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 887 + -597. Suppose a = 1014 + 568. Suppose -a = -4*l - p. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -17 - 160*i**2 - 17*i + 7 - 8 + 661*i**2. Let z be x(18). Round z to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a97 - -250d?\nAnswer: 31a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((5*(1 + sqrt(99) + 0)*3)**2 + (3 + sqrt(99)*-1 + sqrt(99) + sqrt(99) + -2 + -2 + sqrt(99))**2).\nAnswer: -137382 - 8028*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -90, 1, 6, -0.5?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**4 + 425432*h**3 + 63*h**2 + 252375*h + 976 wrt h.\nAnswer: -48*h**2 + 2552592*h + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*11\/385*28\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 134 - -32?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -161677.38169 and 25904.\nAnswer: -135773.38169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -679, -2030, -4165, -7084, -10787, -15274?\nAnswer: -20545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - (-11 - -1)) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 15\/2*x**4 + 225*x**3 + 3*x + 1\/10*x**5 - 10 + 3375*x**2. Determine i so that p(i) = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1472*k**2. Let x(w) = 17*w + 18. Let m(q) = -28*q - 30. Let n(z) = -3*m(z) - 5*x(z). Give n(d(o)).\nAnswer: 1472*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-16))\/((-3)\/(-4)*(-231)\/(-1386)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14740 and 41010030?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 94?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01601588 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(-6))*f)\/(f\/f**24)*f**9\/f**6)**(-18\/11) assuming f is positive.\nAnswer: f**(-360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5 + 266420*s**4 + 3530558165*s**3 - 490604361890*s**2 + 22619777097580*s - 347235239920280.\nAnswer: 5*(s - 46)**3*(s + 26711)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79\/9 + 1081\/36. Find the common denominator of u and 26\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 6 - (2 - (-1 - -20) - (-11 + 10))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1553.03 + 1553. Sort 22, o, 0.5.\nAnswer: o, 0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11805 * 0.2.\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-77.92.\nAnswer: 311.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709112500.\nAnswer: 2, 5, 17, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqwwdiwqw. Give prob of sequence qw.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*a - 45, -z - 2*z - 3*a = -75. Suppose h = -t + 2 + 17, 0 = 3*h - t - 77. Calculate the highest common factor of h and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-4 + sqrt(192)*-1 + sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192))**2 + sqrt(192) + sqrt(192) - (4*-2*sqrt(192))**2).\nAnswer: -320*sqrt(3) + 48320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 - 8*k - 11. Does 36 divide c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 283, 603, 957, 1345, 1767?\n\"Answer: 17*y**2 + 269*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 283033, 283029, 283025, 283021, 283017, 283013?\n\"Answer: -4*i + 283037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tat when three letters picked without replacement from aaaaaaaaaaaattaaaaaa?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1244, -2488, -3734, -4982, -6232?\n\"Answer: -x**2 - 1241*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkonnsnnxstsxso. What is prob of picking 1 x, 1 n, 1 s, and 1 t?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4522*y - 4522*y + 9046*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3582*x - 342. Let a(f) = 332*f - 31. Let y(n) = -54*a(n) + 5*v(n). Calculate y(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -180 + -1f0?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-660)\/(-80190))\/(5\/90).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*b**2 + 108 - 106 + 55*b**2 + (4 - 3 + 10)*(-b**2 + 0*b**2 + 0*b**2))*(-b**3 + 2 - 2).\nAnswer: 50*b**5 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149, -228, -363, -554, -801, -1104?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15*(-35)\/(-14). Suppose 0 = -n - t + 4. Suppose -l = g - n, -3*l = -4*l + g - 3. Solve 3*p = -l*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 1647, 3792, 6879, 10956?\nAnswer: 16071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97881*j**3 + 195769*j**3 - 97882*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l + 54*l - 22*l + 30*l - 19*l - 18*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53\/(-3) - 136\/102.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 + (0 + 4 - 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.802403144 to 2 decimal places.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1715) - (sqrt(1715)*-1 - sqrt(1715)))\/sqrt(5) + 1)**2 - ((4*sqrt(504))\/sqrt(9))\/(sqrt(800)*-2).\nAnswer: -6176 - 419*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 5*x + 4. Let f = -5 - -9. Let g be 2 + 2 + -3 - f. Give d(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.51 times 2264174\nAnswer: -1154728.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-63) - 86558\/(-18). Suppose -81*y = -76*y + 48045. Let v = y + w. What is v rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 - 242*i**2 - 81*i + 95. Calculate the remainder when 1990 is divided by m(81).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - f + 2. Let o be w(0). Suppose 62*n = 104*n - 294. Solve -2*k = u - 6, -n*u - 15 = k - o*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -321, -390, -569, -912, -1473, -2306, -3465?\n\"Answer: -9*n**3 - n**2 - 3*n - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*w + 96 - 650, 3*t = -2*w + 1662. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5856.3 + -6255. Let h = 428 - 12. Let z = m + h. What is z rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559815 - 73065 = 10*z. Calculate the highest common factor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3735, 3752, 3793, 3870, 3995, 4180?\n\"Answer: 2*b**3 + 3*b + 3730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2428? (a) 3 (b) 7 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 19*w**2 - 3*w + 53. What is x(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 3100\nAnswer: 12400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*d + 19. Solve 0 = -4*f - d*n - 16, n + 16 = -3*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 1, m: 2, p: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3503 and 0.5.\nAnswer: -3502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -393348 divided by -4?\nAnswer: 98337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 1, g: 1, t: 1, k: 1, i: 1}. Give prob of picking 1 k, 1 q, 1 b, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568 take away -3?\nAnswer: 6571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = k - 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 2*y**2 + 8*y + 3. Let k(b) = b**3 + 4*b**2 - 5. Let g be k(-4). Let m be f(g). Let w = m + -17. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f - 62. Let k be w(-7). Let t be 0*((-220)\/40 + 5\/k). Solve -2*r - 8 = -t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3736490 to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:41 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, h: 4}. What is prob of picking 3 h?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88086468\/7 equal to 12583781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.1 (c) 4944\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/6 + -3)*3. Is 3\/(-3) - d - -290 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4045.\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 0.3 (c) -2\/5 (d) -1.1 (e) 740\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 bigger than -818\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 3*m**2 - 2 + 6*m**2 + 0 + m to v*m**2 + r + c*m and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -187*r**4\/24 - 75*r**3\/2 - 235*r**2. Find the first derivative of f(w) wrt w.\nAnswer: -187","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4699937 + -1.47. Round s to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 6*y**2 - 3*y - 3. Let n(m) = -m**3 + m**2 + m - 1. Let x(w) = -n(w) + q(w). Let f be x(-3). Round f to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/586 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 - -2. Let d = o + 14. Which is the nearest to -2? (a) 0.5 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938071201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 12. Do k and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.109?\nAnswer: -4.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124073922?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 2, -45.74, -9, 2\/9, 2\/7 in descending order.\nAnswer: 2, 2\/7, 2\/9, -2\/3, -9, -45.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, e: 1, a: 1, t: 2, z: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 142935450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34541 + 34541 - 37*w**2.\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 + 6*c - 40.\nAnswer: 2*(c - 5)*(c + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11 - 11 - g + 12 wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42.775 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/5*(56 + (-20894)\/372)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + b + 9 = 0, 4*n = 3*b - 8*b + 3. Suppose 12 = -6*v + 6. What is the remainder when 23 is divided by n - (-12 + 1) - v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -454*u + 455*u - 23 + 6113*u**2 - 6135*u**2 + 2*u**3. What is o(11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4551 + 1490231354.\nAnswer: 1490235905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63884315 and 715.\nAnswer: 830496095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 - 413*x + 413*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10933262 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9872172 divided by 16131\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 27. Let i(f) = 2*f**2 - 6*f. Let v be i(r). Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 3*u - 3. Let t(i) = i**2 - 46*i + 18. What is the remainder when u is divided by t(46)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 2004888*f + 12029292.\nAnswer: (f + 6)*(f + 2004882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4356 divided by -18?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014540 (base 7) in base 10?\nAnswer: 121695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619985677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*n - 6, 3*n - 3*t - 4 = 14. Let h(d) be the first derivative of d**n - 2*d**2 - 3 + 2\/3*d**5 - 2\/3*d - 8\/9*d**3. What is r in h(r) = 0?\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*o + 5 = -0*v, o = -3*v + 11. Let a = 8 + -5. Suppose 0 = -5*r + a*c - 5*c + 3, -3*c - v = 0. Calculate the lowest common multiple of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/11 - 328*s\/11 + 326\/11 = 0. What is s?\nAnswer: 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/2 - -3)*-2. Suppose -o = -2*g - 0*g + 43, 3*g - 42 = -y*o. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -18.5 (b) 4 (c) -981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 13 = 2*g - 1, 0 = -3*g - 4*f + 32. Let l(s) = -3 - 9090*s + 18181*s + 9*s**2 - 9105*s. Let y(d) = 3*d**2 - 5*d - 1. What is g*l(v) - 11*y(v)?\nAnswer: 3*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1401*n**3 + 858*n**3 + 836*n**3.\nAnswer: 3095*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let o(z) = 146*z**2 - 1. Determine o(b(g)).\nAnswer: 146*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 19*m**5\/5 - m**4\/4 - 226*m + 214. Differentiate r(i) wrt i.\nAnswer: 76*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**2 + 5810760*a + 17432235 = 0 for a.\nAnswer: -1162149, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48455, 96622, 144793, 192974, 241171, 289390?\n\"Answer: r**3 - 4*r**2 + 48172*r + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q - 2. Suppose -5*c + 2*n = -5, c - 5*n + 6*n = -6. What is m(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12012317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cescsssxce. Give prob of picking 1 c and 1 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/4127 - -7643302\/28889. Let d = 265 - z. Sort 0.66, 4, d.\nAnswer: d, 0.66, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -117, -260, -387, -498, -593, -672, -735?\n\"Answer: 8*a**2 - 167*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 101*n**2 - 54*n - 791. Is 11 a factor of u(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 129?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 101656018, 101656019, 101656020?\n\"Answer: l + 101656017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53535 rounded to two decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 11*d - 19. Let r be b(-8). Suppose -7*s + r*s = 0. Suppose s = -6*g + 23 + 253. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 3\/11, -3, 38?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104265304 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -45\/6334 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b944 + -31a2?\nAnswer: -11b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -4. Suppose j + 4*j = 0. Is j bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163934.\nAnswer: 2, 81967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5 + sqrt(448) - (6*sqrt(448) + sqrt(448) + 5))*-6)**2.\nAnswer: -6912*sqrt(7) + 580752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*f - 149*f**3 + 120*f + 39*f**3 - 20*f + 154*f.\nAnswer: -110*f**3 + 316*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = 0, 3*h - 164 = -0*h + 5*y. Let j = h + -59. Let x be (-267)\/(-21) - 2\/(-7). Solve j*l - 5*a - 20 = 0, -5*a + x = 33 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -439? (a) 1 (b) -12 (c) 5 (d) -0.2 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9819*y + 271492 + 387528 = 287636 - 315946 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1487*l + 13 = -1485*l - c, 0 = -3*c - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 255 and -60.\nAnswer: -15300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -2.2. Let h = 1222 - 1217. Sort h, v, 20, 4.\nAnswer: v, 4, h, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -32, -34, -42, -56, -76, -102, -134?\n\"Answer: -3*u**2 + 7*u - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 504 = 10*h. Let n = h + -61. Solve -3*x + 0*b + n = 4*b, -x + 7 = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.53 - -2.025. Let q = 0.4950442 - r. What is q rounded to six decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*w + 7, 6*n - 5 = -5*w + n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 7) in base 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 10*k + k - 2*k**2 + 2*k + 2 to the form j + m*k + a*k**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3610534 is divided by 856.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 250 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002200112 + 1000?\nAnswer: -1002122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 - h**3 - 2*h**3)*(16155*h + 25005*h - 1033*h - 8122*h - 889*h + 12570*h) to r*h**3 + g*h + c*h**4 + w + b*h**2 and give c.\nAnswer: -87372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*d = 8*i + 58 - 261, -i - 24 + 22 = 0 for d.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - t = -13, -2*n - 2*t + 2 + 0 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 254575464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 + 0 - (5 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**3 + 4*a**2 + 4*a + 4. Let n(v) = -12*v**2 - v + 1. Let j(l) = -10*l**3 - 32*l**2 - 9*l - 5. Let c(k) = j(k) - 2*n(k). What is -4*c(t) - 7*y(t)?\nAnswer: 5*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*g = 136*g - 288*g + 28 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 56?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c**3 - 3*c + 3*c)*((3 - 2 - 3)*(-2 - 2 + 2) + 4 - 4 + 4) as w + f*c**3 + v*c**2 + g*c and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24225\/19635 + (-2)\/14\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -23*q - 3. Let k(w) = -24*w - 3. Give 7*g(i) - 6*k(i).\nAnswer: -17*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:44 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*6478\/3444)\/(3\/6).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -152.543. Let c = a - 151.543. Which is greater: -0.1 or c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + (-14)\/(-63). Suppose -3*s - 5*x = -c*x - 9, s + 5*x = 3. Solve -4*h + 7 = -b, s*h + 0*h = -5*b + 34 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - 0.3. Let d = 42 - 42. What is the nearest to d in 1\/3, p, 4\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. What is w rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 442885641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 86, -40, -63, 4?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20592 (base 14) in base 16?\nAnswer: -13074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - m)*(6 - 9 - 6).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = n - 7*j - 14, -4*n + 24 = -4*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 1.2\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.00258 times 22\nAnswer: -0.05676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 + -47. Let g = o + -21. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 45*a + 204. Let d be s(40). Solve -2*r - 3*h = -d, -r - h = -0*r - 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/5 + 4*o**3\/5 + 2*o**2\/5 - 3*o\/5 - 2\/5.\nAnswer: -(o - 2)*(o - 1)*(o + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.3. Let l = -0.2 - u. Let z be (2\/(-3))\/((-352)\/(-96)). What is the nearest to z in l, 3\/5, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4632.1679 and 5?\nAnswer: 4637.1679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20645712 is divided by 2580714.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (135280\/70 - -12) + 6\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3706 from -30545320.53.\nAnswer: -30541614.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/33 and -25\/222.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 101245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783315426.\nAnswer: 2, 29, 47988197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -191448 divided by -3?\nAnswer: 63816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {j: 6, p: 1, e: 5, v: 2, l: 3, n: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.4297 days to milliseconds.\nAnswer: 50321926080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21310 - 21309.5. What is the nearest to 2 in -18\/7, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/280 and -19\/26404?\nAnswer: 264040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 355*((-9)\/(-10) - (-4)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 32*a - 2 - 6 + 6*a**2.\nAnswer: 6*a**2 + 32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 10*v - 6. Let o(f) = 3*f**2 - 3*f + 2. Let t be o(2). Let r be n(t). Find the common denominator of 485\/(-2)*1\/r and 91\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 7 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -23*k + 19*k. Suppose -115*b = -k*b - 336. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 88*k**3 + 2529*k**2 - 199060*k - 4791500 = 0.\nAnswer: -35, -25, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, e: 2, m: 2}. What is prob of sequence ym?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14*4\/(-4) - (-2)\/(-2). Suppose 0 = -g - 2, -l = 13*y - 14*y + 5*g. Solve 0 = y*a + 9 + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -28, -23, -14, -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14933*k - 15969*k + 32405*k.\nAnswer: 1503*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {f: 5, z: 2, x: 5, e: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29\/(-90) - 2\/(-9). Let u = -1.5 + 1. Let c = 10.1 + -11.1. Sort u, i, c in descending order.\nAnswer: i, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.11 - 3.21. Sort 1\/21, d, 6\/7 in decreasing order.\nAnswer: 6\/7, 1\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 8:25 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 9*l + 8. Let h be s(5). Suppose 5 = -3*t + 4*t + j, -j = 3*t - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165.064 + -162.3. Let u = -0.064 + m. Let y = u - 2.70044. Round y to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1345 times -0.5\nAnswer: -672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - k - 4. Let m(c) = -4*c**2 - 6*c - 26. Let b(a) = -4*a**2 - 6*a - 27. Let w(z) = -5*b(z) + 6*m(z). What is -11*g(x) + 2*w(x)?\nAnswer: 3*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*f + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89065853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 403760 and 2575.\nAnswer: 2018800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*(-6*f**2 + 0*f - 2*f + 2*f**2).\nAnswer: -8*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 643879 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 1:21 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81564 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 24*s - 54. Let w be f(23). What is the hundreds digit of (w + 1161)*(2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(28)*-2 + ((sqrt(21)*-2 + sqrt(21))\/sqrt(3) + (2*sqrt(700) - sqrt(700)))**2)*1.\nAnswer: -4*sqrt(7) + 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/105 - 2\/7. Sort w, -2\/13, -1 in ascending order.\nAnswer: -1, w, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 0 + 1\/12*n**4 + 15\/2*n**2 + 11\/6*n**3 + 3*n. What is the units digit of y(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 27 + -2)\/1. Suppose -31*i + 863 + 687 = 0. Let z = k + i. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/6466239?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.8 + -9. Let i = z + 3.2. Let q = 3 - -2. Which is the biggest value? (a) q (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3 - 4)\/2 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78738 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -r - 4*b + 8, 2*b + 10 = 0. Let t = r - -76. What is the highest common factor of 60 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33161*q**3 - 360*q**2 - 2*q + 413760038 wrt q?\nAnswer: -99483*q**2 - 720*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 21 + 469*k + 472*k + 477*k - 1423*k as n*k + l and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7448*k**3 - 6067.\nAnswer: -22344*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4929 + -24642\/5. Which is the biggest value? (a) -0.55 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 56 = 41*z - 63. Let l(b) be the first derivative of 0*b**4 + 0*b**z - 6\/5*b**5 - 7 + 0*b**2 + 6*b. What is the derivative of l(w) wrt w?\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101010111111 (base 2) to base 12.\nAnswer: -4a593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/7, -14093, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -46.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 = -4*l + 7, -3*l + 3*t = -9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 5*g - 79 + 79.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -307*t**5\/20 - 112*t**2 + 4*t + 52. What is the first derivative of r(w) wrt w?\nAnswer: -921*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 110 + 46*q**2 - 14*q**2 - 2*q + 73 - 14 - 17 wrt q.\nAnswer: 64*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2411 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.1. What is the third smallest value in p, 0, 2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 + -1.3. Let n = i - 2. Let z be (-40)\/1425 - (-4)\/30. Which is the third biggest value? (a) n (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*w**4 - 90*w**3 + w**2 - 15*w - 5479 wrt w?\nAnswer: 1128*w**2 - 540*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -3. Let r be 0 - ((0 - u) + -1 + 3). Suppose 7*s - 2*s - 5 = -5*w, 3*w = 4*s - 4. Solve r*k - 3*k + 12 = w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-200)\/(-30))\/4)\/(420\/(-2688)).\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 12375, 0.5, 0.2, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3137449*d**4 - 5599215 wrt d?\nAnswer: -12549796*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1324, -2259, -3194, -4129?\nAnswer: -5064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(72)\/(-2*sqrt(8) + sqrt(8))) + sqrt(891) + sqrt(891) + 3 + sqrt(891) + sqrt(891) + 1 + sqrt(891))**2.\nAnswer: 352*sqrt(11) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 25*r**2 + 10*r - 15. What is d(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0*419\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-15)\/((r\/r**(1\/35))\/r))**18)**31 assuming r is positive.\nAnswer: r**(-292392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2581033?\nAnswer: 7, 13, 113, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -51314*l - 2269. Is t(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -189, -0.4, -1\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2211\/3794 - 161\/542. Find p such that 12\/7 - 8\/7*p**2 - 2\/7*p**3 - g*p = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 9.16. Let c = h + -0.08. Round c to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.7, -3, -3\/2, 3, 186?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 92, -1 in descending order.\nAnswer: 92, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {z: 1, u: 2, l: 1, a: 4, d: 1, c: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 - 2*x - 7. Let r be g(-6). Let p(u) = 6*u - 13. Let w be p(r). Suppose -2*a - w = -235. List the prime factors of a.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19855754267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/5 + 5*s**3 + 54*s**2\/5.\nAnswer: -s**2*(s - 27)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7 - 11. Let g be ((-1)\/(-2)*6)\/(l\/16). Let a(p) = 7*p**2 + p - 3. Let j be a(-2). Solve 0 = 3*o + j - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 73\/11, 4\/11, 7.3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -217, -156, -97, -40?\n\"Answer: -t**2 + 64*t - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-182)\/(-39))\/((-91)\/(-130))?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 2 + 1 + 3 - k**3 + 0 as c*k**3 + z*k + h*k**2 + m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0.0755689018.\nAnswer: 12.0755689018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/7 - (-368)\/(-35) and 5\/((-50)\/(-8))*234\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 6 = n, -x - 5*n - 283 = -308 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/8)\/(18\/(-12)). Let r = 4.6 + 46.4. Is r greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc119 (base 14) to base 7.\nAnswer: 3605432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4929)\/(-32860)*((-47)\/12 + 15\/(-20)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-11)\/(33\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**4 - 434839*o - 1046004.\nAnswer: 12*o**3 - 434839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -66, -173, -344, -591, -926, -1361, -1908?\nAnswer: -2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 - 6*g - 11. Let b(x) = 2*x - x**2 - 9*x + 5*x + 1 - 2*x. Let t be b(-6). Let w(j) = 4*j**2 - 3*j - 6. Give t*w(f) + 6*u(f).\nAnswer: -2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 + 16)*(-2*x - 2*x + 5*x) + (2 + 0 + 1)*(1 - x - 1).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 257753.4 to the nearest one thousand.\nAnswer: 258000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 12*k + 567. Let n be x(0). Let i(f) = -2*f + 5. Let d be i(-2). Suppose 3*z + n = -6*t + d*t, 5*t = 4*z + 948. Is t a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (969\/30)\/19*3720\/1116.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05425072 rounded to four dps?\nAnswer: 0.0543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 121 = 41. Let c be 62\/527 - (-78)\/68*6. What is the second derivative of -8*m + 20*m**2 - a*m**2 + c*m**3 wrt m?\nAnswer: 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4\/4 + 621*b**3\/2 - 53217*b**2\/4 - 9406287*b + 688294827 = 0.\nAnswer: -306, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 151, 447, 1015, 1945, 3327?\nAnswer: 5251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4819.1725 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b0 - 0?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from opooop?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46036404 to the nearest integer?\nAnswer: 6785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14367 is divided by 2869?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4299*k**2. Let b(w) = 11316*w**2. Calculate a(b(u)).\nAnswer: 550494928944*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165 and -507.\nAnswer: -83655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c - 49 = -4*q, -4*c - 92 = -5*q. Suppose q = -j - 3*j. Let t be 22860009\/18 - (-2)\/j. What is t rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -117316*z**2. Let c(o) = 63*o. Give c(s(m)).\nAnswer: -7390908*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 1420034*j. Let n(b) = 23*b**2. Determine z(n(u)).\nAnswer: 32660782*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 2 = -c - 9*y, 7 = c - 3*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -28 (c) 1\/1596 (d) 0 (e) 0.1 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*-21 + 6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/5)\/((-6)\/(-15)). Suppose 20 = d + c*d. Sort 1, -1, d.\nAnswer: -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1413*d**2 - 8*d + 66. Let m(t) = 1411*t**2 - 7*t + 61. Let f(a) = -5*b(a) + 6*m(a). What is the second derivative of f(p) wrt p?\nAnswer: 2802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 83. Suppose -1 = -4*o + 3*f, -3*o + f - 2*f = -17. What is the first derivative of 3 + s**o - b*s + 3*s wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1070 or -1071?\nAnswer: -1071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*5\/4*((-4794)\/1785)\/94?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1251970 is divided by 273?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -5*u**4\/12 - u**3\/2 - 2*u**2 - 4*u. Let k(l) = -11*l**2 - 7*l - 9. Let n(t) = 3*k(t) - 7*p(t). Differentiate n(w) wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*n*u - 11113226*a**2 - 183470010*n*u - 18*u with respect to n.\nAnswer: a**2*u - 183470010*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 146 (b) -1447.4 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w**2 + 9*w + 3. Let v(a) = -3*a**2 + 5*a + 1. Suppose -h - 17 = -2*u, 4*h - 215 + 238 = 3*u. Calculate u*v(i) - 5*r(i).\nAnswer: 3*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 495560962.\nAnswer: -495560958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -495 - 2290?\nAnswer: -2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, i: 1, e: 2, b: 3}. Give prob of picking 1 b and 1 m.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2026 + 513*h + 2026)*(16 + 6 + 2 + 9 - 8).\nAnswer: 12825*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwwwwwwwwwmwwwww. Give prob of picking 1 m and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 405c47a?\nAnswer: 405c46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 1, h: 4, w: 2}. Give prob of picking 2 w and 1 z.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from dnniidinninninddi.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.44 - -9.06. Let j = -9 + t. Which is the biggest value? (a) -0.3 (b) -4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-100))\/(55\/(-10175))*-2\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 26 = 4*h. Suppose 4*x - h = 3*t + 10, x - 2*t - 4 = 0. Solve 4 = 2*y + x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3986, 4020, 4078, 4160?\n\"Answer: 12*h**2 - 2*h + 3976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 10*j**2 - j + j**3 + 2 - 4*j**2 - 5*j. Let g(r) = -r**2 + 14*r + 31. Let s be g(16). Let w = s + -6. Give v(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g + 3*g**3 + (3*g**2 + g**2 - 2*g**2)*(4*g - g - g) + 232*g - 232*g + 402*g**3.\nAnswer: 409*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/2 + 329299*p**3\/3 - 5488573*p**2\/6 - 5268994*p\/3 - 2195410\/3 = 0.\nAnswer: -219541, -1, -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60077\/2 + -30776. Let c = -753 - p. Calculate the common denominator of 89\/82 and c.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o**6 + 88*o**6 + 203*o - 203*o - 1005*o**2 wrt o?\nAnswer: 11040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -22) + (-195 - -165)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5550 divided by -6\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + o**2 + 4*o - 18. Let u(p) = 3*p**3 + 4*p**2 + 11*p - 54. Let j(k) = 11*m(k) - 4*u(k). Let y be j(-4). Factor 0*n + 2\/3 - 2\/3*n**y.\nAnswer: -2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94\/13 + -277\/39. Let r = -67\/4208 + 235983\/21040. Find the common denominator of f and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2 - 171\/(-494). Let i be 1 + (-168)\/44 - 6\/(-2). What is the third smallest value in f, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244862*g - 24149*g**3 + 244862*g.\nAnswer: -24149*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 29 = k, 0 = -179*k + 181*k - 3*y + 59. Which is the biggest value? (a) 2 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -116. Let g be ((-54)\/(-12) + -4)\/(1\/q). What is the hundreds digit of (4\/(-3))\/(g\/(-2232))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11022 (base 3) in base 2?\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18585, -72261, -161031, -284895?\n\"Answer: -17547*g**2 - 1035*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.42005t in micrograms?\nAnswer: 76420050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100129501 to the nearest integer?\nAnswer: 10006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44815 + 44823. Let o = 12.2 + -12. What is the smallest value in 3, o, -4, n?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 13*u + 9. Let h be d(7). Let y be 2*(-3 + 7\/h). Calculate the least common multiple of 5\/((-25)\/(-15))*(y + 2) and 74.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/5)\/(76\/(-2) + 129064\/3400)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(833) - (sqrt(833) + (2 + sqrt(833) - sqrt(833)))) + 5)**2 + (2*sqrt(68) + 0)**2).\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177384411.816 + 176642563. Let v = 741879.8159981 + k. Let m = v + -31. What is m rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22823.72 micrometers in kilometers?\nAnswer: 0.00002282372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 85*o - 478. Calculate the remainder when 447 is divided by k(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 3\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d*m**3 + 7*d*m**2 + d*m + 33107*d + 547*m**3 + 2*m**2 wrt m?\nAnswer: 12*d*m + 14*d + 3282*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102210011 (base 3) in base 9?\nAnswer: -12704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*b = -6, -5*b = -2*c - 1 - 16. Suppose -4*n = -k - 4*k, 0 = -5*n + k + 21. What is the remainder when n is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 1515.\nAnswer: 15150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/3 + 4664*n**2\/15 - 6514*n\/15 + 124 = 0 for n.\nAnswer: 2\/5, 1, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 4)*1\/3. Let f = -461630\/57 - -24296\/3. Let w be -1 + (0 - -8 - 2). Which is the closest to l? (a) -40 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -35, -60?\n\"Answer: -25*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -0.7\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c**2 + c - 32. Calculate h(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/13 - (-1 - 2). Suppose 0 = -o - 5 + s. Solve -6*m = -o*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1184132?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k + 10*k + 7*k**2 + 0 + 5 - 2 to z*k + v + t*k**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.51 + -18.51. What is the closest to -1\/2 in -2\/11, 1\/2, b?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/2 - 92\/(-23))\/((-66)\/2673*18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -137. Let i = 135 + q. Let x = i - 65. What is the smallest value in x, -4, 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 30996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*s**3 - 9562688*s**2 - 9987508*s - 425000 = 0. Calculate s.\nAnswer: -53125, -1, -2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*u**2 + 10*u**3 + 474*u**2 - 953*u**2.\nAnswer: 10*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57251203.\nAnswer: 31, 1087, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -342, -712, -1082, -1452, -1822, -2192?\n\"Answer: -370*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 43?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -39\/61 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - f**2 - 4*f**2 + 3*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 5:57 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) 76 (c) -0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30780512*v**2 - 23085432*v - 36 = 0 for v.\nAnswer: -3\/4, -3\/1923782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 29963.79262 to the nearest one hundred.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 1 + 3)*1\/2. Suppose k = -6*c + 2*c. Suppose n + n - 4 = c. Solve 0 = d + n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 217*b**2 - 118*b. Let t(y) = -y - 7. Give x(t(w)).\nAnswer: 217*w**2 + 3156*w + 11459","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = 35, q = -3*z + 6*q + 1768. Solve z = -5*f + 561 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*s**2*u - 8*h*s - 162*s**3*u + 9*s**3 wrt u.\nAnswer: -2*h*s**2 - 162*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 78, 52, 16, -30?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 4002759484.\nAnswer: 4002759480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/54 and -67\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16062?\nAnswer: 2, 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjaj when four letters picked without replacement from hjjjahhhajjhjhh.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - 6.16. Let o = 6 + l. Let d be (1\/4)\/(2\/3). Which is smaller: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 204\/14 - (-24)\/56?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-1)*j)\/j)**3\/(j**(-2\/3)*j**(-5)\/j))**42 assuming j is positive.\nAnswer: j**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16359 + 16767 = 51*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021122 - -20222212?\nAnswer: 22021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 4:47 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -417111 + -1?\nAnswer: -417112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59797, 238607, 536427, 953257, 1489097?\nAnswer: 2143947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) 3 (b) -0.1 (c) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 12*j**2 - 86*j - 692. Determine k(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*y + 35*y - 20*y)*(4 - 4 + 3).\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 - 36. Find the third derivative of 15*w**a + 14*w**2 - 2*w**3 + 3*w**3 + 4*w**3 wrt w.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6013b (base 12) in base 4?\nAnswer: 132122333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 8*w**2 + 11*w**2 + 19*w**2 to y*w + j*w**2 + q and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -507.384379 rounded to one decimal place?\nAnswer: -507.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 5. Let g = f - -5. Solve 3*y - 9 = -v, -3*v - 15 = -g*v - 3*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (158\/(26544\/(-108)))\/((-12)\/14)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-15876)*63*(-71)\/((6\/(-3))\/4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 6600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**3 - 3*d**2 - 3*d + 3. Let t = -1 - -3. Let i(b) = -b**2 - b**t - 2*b + 69*b**3 - 78*b**3 + 1 + 1. Let m(l) = -4*i(l) + 3*o(l). What is m(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 15*p - 3. Let u be c(4). Let g(l) = 2*l - 2 - u - 1 + 5 - l. Let y(x) = -3. Give -6*g(q) - 2*y(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b - 20350 = 4*b. Let h be (b\/(-185))\/(21\/(-9) + 3). Suppose 54\/5 - h*j**3 - 261\/5*j - 192\/5*j**2 = 0. Calculate j.\nAnswer: -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41238787 to the power of 1\/2, to the nearest integer?\nAnswer: 6422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 7*d**2 + 9*d - 8. Let l be u(6). Suppose -n - 12 = 2*r - 5*r, -n + 2*r = l. Let o(w) = w**3 + 7*w**2 + 4*w - 2. Calculate o(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1611011*p**4 - 872*p - 4400.\nAnswer: -19332132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72997 + -72995. Factor 3\/4*u**4 + 0*u**j + 1\/2*u**3 + 0*u - 5\/4*u**5 + 0.\nAnswer: -u**3*(u - 1)*(5*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41 or -1918\/47?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8140 + 20158. Is 220 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9381815 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 33*n**2 - 38*n - 1526. Calculate d(30).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -628874 or -628882?\nAnswer: -628882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23367636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*f - 1370 - 3259 + 173 - 198 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -3)*(-10)\/2. Let a be -10*((-2)\/(-4) + 0). Let j = 6.1 - 6. What is the closest to 0.1 in t, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266978, -2135786, -7208268, -17086262, -33371606, -57666138, -91571696, -136690118?\nAnswer: -194623242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 8) + (-10)\/5. Let x(i) = -i**3 - 6*i**2 + 2*i - 8. Is x(d) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -23. Differentiate r*v - 2 - 5*v - 2*v**2 + 5*v wrt v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -0.3, -0.5, -11\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-5*(sqrt(1900) - 2*sqrt(1900)) - (1*sqrt(1900) + -3)) + 0 + 3 + sqrt(1900)*1 + 2))**2.\nAnswer: 12800*sqrt(19) + 761024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2488.4695 and 0.5.\nAnswer: 2488.9695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4076805034 to the nearest integer?\nAnswer: 63850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.24 and 60373.\nAnswer: -14489.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5513, -11168, -16935, -22814, -28805, -34908?\nAnswer: -41123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 10*p + 9. Let j be v(9). Solve j = u + w - 4, 2*u - 3*w = -0*u - 17 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8933989.\nAnswer: 8933989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(d - 5 + 5) - 5 + 3*d + 4 - 10 + 5*d - 2*d + 3*d.\nAnswer: 10*d - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*b - 4 = 0, 2*u - 4 = -201*b + 197*b. Solve -25 = u*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 24 - 102. Calculate the remainder when c is divided by 42\/4*8\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.114 + -11.886. Let r = m + 14. Sort r, -1\/4, -1.\nAnswer: -1, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14812*p**2 + 20070*p?\nAnswer: 29624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.958 - 16. Round u to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b + 3. Let v be s(-6). Is 189048\/v + 9 + 6\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 1. Let a be (-152)\/190 - (-34)\/5. Suppose -a + 2 = -4*x. Calculate d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p + 2. Suppose 0 = p*u - 5*u + 102. Let y = u + -24. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0 = 5. Suppose 80 = r*g + i, 2*i = -6*g + 3*g + 55. Let y be ((-8 - -3)*1)\/(-1). What is the highest common factor of y and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.98 + -0.02. Let n = 25\/14 + -9\/7. Which is the nearest to -1\/4? (a) n (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let i be l(-2). Suppose -4*y = r - 11, 4 = i*y + r - 1. Factor -9 - y*n**2 - 19*n + 60*n - 29*n.\nAnswer: -3*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t**4 - t)*(0*t - 2*t + 4*t) - 5*t**5 + 2*t**5 + t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 256961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*p*r + 645*p + 97080*r + 341 wrt r?\nAnswer: 16*p + 97080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2 - -13) + 15 + -19\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 52 - 42 = 6*a - 24, -5*r - 5*a + 79 - 24 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4099598993?\nAnswer: 7, 571, 1025669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/((-4)\/(-98)). Let m = v + 84. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/4 - 43*s**3\/6 - 17*s**2. Let l be g(-18). What is the greatest common factor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**2 + 3*w**6 - 199 + 199 wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29008 divided by -3246.\nAnswer: 14504\/1623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(130)*-2 + sqrt(130))\/sqrt(10).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311 divided by 1.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-4)*(-42)\/35. List the prime factors of (41\/g)\/(26\/12 - 2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -3003?\nAnswer: 3002.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245561241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 73 = 93 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3\/5 - 192*g**2\/5 - 597*g\/5 - 402\/5 = 0. What is g?\nAnswer: -2, -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + i - 18)*(13 - 19 + 30)*(5 - 2 + 0).\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o - 6. Let t(r) = 3*r - 3. Let n(y) = -2*a(y) + 5*t(y). Let l be n(2). Suppose -l*d = -d - 58. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -o + 3*k - 1, 2*o - 1 = 5*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199 - 198.98. Suppose -107*z = -103*z. Let j be (-1)\/(((-10)\/4)\/(-1)). What is the closest to z in j, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*n + 14, 6*n = -5*r + 2*n + 22. Suppose -3*i + v = -5, 3*i + r = 4*v - 5. Let m = 11 - 9. Which is the closest to 1\/3? (a) i (b) -1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7 - 2\/7*h - 2\/7*h**2.\nAnswer: -2*(h - 2)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 232 = -0*b. Let f be 4\/(-26) + (-275)\/(-13) + -8. Suppose q + d - f = 0, 2*q = 7*q - 2*d - b. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12696 - 342863\/27. What is the common denominator of r and -11\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -414*b - 12225. Calculate z(-30).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -2*d - 12, -4*d - 6296*x = -6297*x + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 335538 and 894768?\nAnswer: 2684304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19024775 and 2717825.\nAnswer: 19024775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2220 - -3858. What is the remainder when g is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.558726 weeks in hours?\nAnswer: 93.865968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/8 + 7629*z\/8 - 38245\/2 = 0. What is z?\nAnswer: -7649, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1037 = -2*f + 5*t, -2117 = -5*f + 4*t + 450. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:03 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*v = 913*v + 5*d - 10, -d = 3*v - 4*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1492 = -0*s + 2*s, 3*y + 2232 = s. Let g = y - -1123. What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 70. Calculate the least common multiple of 20 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/29 and -9\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80483 + -80482.8920175. Let d = r + -0.108. Round d to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.7 + -0.3. Let h = -0.2 + 1.2. What is the closest to h in -1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1212 and 2091508.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(11) + 2)**2 - 2*sqrt(22)\/sqrt(2).\nAnswer: 10*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 v when three letters picked without replacement from iiviiiiviiii?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -553*m**2 - 567*m**2 - 564*m**2 + 1692*m**2. Let b(n) = -103*n**2. Give b(a(i)).\nAnswer: -6592*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r - 2*r. Let c(d) = d**3 + 5*d**2 - 6*d. Let t be c(-6). Suppose t*l - 3*l - 12 = 0. Sort l, r, 2 in ascending order.\nAnswer: l, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/14*6\/((-3)\/(-1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 72\/5 of a microsecond?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001101 - -222222?\nAnswer: -1001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 53 = -5*k - 0*k, 5*k - 55 = 5*j. Let g(a) = 17*a**2 - 3*a - 11. Let o = -441 + 439. Let s be g(o). What is the greatest common factor of k and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3429*a**4*z + 64*a**3*z - 444*a**2*z + 884*a*z wrt a?\nAnswer: -82296*a*z + 384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 + 10517535*b**3 + 5530984969800*b**2 + 60839562052720*b.\nAnswer: 5*b*(b + 11)*(b + 1051748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162545 divided by -1.\nAnswer: -162545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -41*i + 40*i - 5011, -i = 2*z - 2003. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*k - 21, 0*k + 5*k = -p + 17. Let q(n) = 2*n + 5*n - p*n - 4*n. Let z(s) = 22*s**2. What is q(z(u))?\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 21. Determine t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1168*t + 2707. Give p(-3).\nAnswer: -797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(3\/19)\/x)))\/x*(x**(-1\/21)*x*x)\/x assuming x is positive.\nAnswer: x**(-355\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2115087 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 23. What is the remainder when d is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(20) - sqrt(20))*3)\/(sqrt(10) + sqrt(360)*1).\nAnswer: 6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 296*q - 5002. Give f(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1333*x + 5344*x - 1333*x - 1336*x + 1 - 1338*x.\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, v: 13}. What is prob of picking 2 v and 1 z?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/6 + 17*u**2\/6 - u\/2 - 3\/2.\nAnswer: -(u - 3)*(u - 1)*(5*u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 60.\nAnswer: 59.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15056\/6*31\/(124\/15) and 10?\nAnswer: 9410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 10*v = -2*m + 339, 546 = 5*v - 3*m. Calculate the remainder when v is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594346 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfsrrvy. Give prob of sequence ssv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 3*o - 2. Let f be d(2). Suppose 0 = -5*u + 2*u + f. Let r = 5 + -5. Which is the nearest to 3? (a) 1\/2 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5))**(10\/7)*p**(1\/17)*(p\/p**(-1))\/p assuming p is positive.\nAnswer: p**(-724\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 130 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -2. Let j(o) = -2*o**3 - 2*o**2 + o - 2. Let z be j(-2). What is the derivative of -3*f**3 + z*f**3 + 0 - 1 - x*f**3 wrt f?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 2*i**2 - 5*i**2. Let o(y) be the second derivative of -1\/12*y**4 + 0*y**2 - 2*y + 0 + 0*y**3. Determine o(m(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**3\/6 - 2*x**2 - 2*x. Let k be b(12). Suppose k + 9 = 2*s - 3*y, 0 = 4*s - 5*y - 29. Solve 0 = 4*r - s + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 12:02 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386230 is divided by 192831.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -14*x**2 - x - 1. Let c be f(3). Let i = c - -652\/5. Is i at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 i when four letters picked without replacement from huuhnuihnnn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0. Let i be (-26)\/(-2)*(19 - 20 - -3). Which is the second smallest value? (a) 3 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.928 + -5.928. Which is the fourth smallest value? (a) 0.3 (b) -0.08 (c) -4\/3 (d) v (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 18 - 17 = 0. What is the third biggest value in 0, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4828773.\nAnswer: 3, 257, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 990, -1\/2, -0.3, 11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -54, -58 in descending order.\nAnswer: -1, -3, -54, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 6:46 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, -0.1, -0.05, -10 in ascending order.\nAnswer: -10, -5, -0.1, -0.05, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 - 2*o + 3. Let a be f(3). Suppose 0 = -4*l + a - 0. Let i be (-544)\/l - 12\/(-18). Round i to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0 + 0)*(5*f**3 - 6*f**3 + 2*f**3) - 101*f**5 - 28*f**4 + 28*f**4.\nAnswer: -99*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 26, 3968, 4 in descending order.\nAnswer: 3968, 26, 18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3080 divided by 129?\nAnswer: 3080\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7497 - -7498. Suppose 0 = 5*v - 4*a - 18, -6*v + 2*v = -4*a - 16. Let r be (1\/2)\/((-1)\/v). Sort r, m, 2\/7 in decreasing order.\nAnswer: m, 2\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 99? (a) -1236 (b) -34 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (2 - 1) - 2 - -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*sqrt(153)*3 + sqrt(153))*3)**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6)*528\/40*6\/(-36)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w = -19*w - 182. Sort w, 2\/7, 23, -2, 0.1.\nAnswer: -2, 0.1, 2\/7, w, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 + -121. Let w be (-25)\/(-15) + 1772\/n. Calculate the highest common divisor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/2, 5\/19, -1\/3 in increasing order.\nAnswer: -1\/3, 5\/19, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 - 4*f**3 - 9*f**3.\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(605)*-2)**2 + (-1*sqrt(5))**2 + 3 + -1.\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11708, 20231, 28754, 37277, 45800?\nAnswer: 54323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 19 + 22. Let b be w\/2*14*-1. Which is smaller: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 6?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = 60. Let b = -13 - l. Let z = -6 - -11. Calculate the remainder when b is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -149\/9. Let c = -28 + 30. Is c at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**3 + 1. Let v(o) = -20*o**3 + 2. What is 8*c(y) - 3*v(y)?\nAnswer: 4*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 0*q)*(3*q + 2*q - 7*q) + 3*q**2 - q**2 - 26*q**2 + (2*q - 2*q - 3*q**2)*(-4 + 1 + 4) + 5*q**2 - q**2 - 2*q**2.\nAnswer: -23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3760, 37, 12 in descending order.\nAnswer: 3760, 37, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-183)*(-9)\/8. Is b < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56320819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -0*r. Let l be (0 - 1)\/((-1)\/7). Let z(n) = 3*n**3 + 7*n**2 + 7*n + 5. Let c(d) = d**3 + 3*d**2 + 3*d + 2. What is l*c(v) + r*z(v)?\nAnswer: -2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 399360391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.51 - -0.01. Which is the closest to -0.9? (a) u (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 285. Suppose 2*j + v = 3*d + j, -3*d = -4*j - 153. Does 5 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2646.873 days?\nAnswer: 228689827.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 - 59*n - 22. Let j(m) = 6*m**2 - 29*m - 12. Give 11*j(b) - 6*l(b).\nAnswer: -12*b**2 + 35*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i - 416*i**2 + 0*i + 2389*i**2 + 2 + 3*i. Let t be r(1). Let x = -1097 + t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104205381*a**2*s**2 - 2*a**2*s + 423*s**2 + 30973*s wrt a?\nAnswer: -208410762*a*s**2 - 4*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, 0.5, -0.1, -67298, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-28269)\/24948 + (-10)\/(-8) and -127\/66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:14 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 8*p - 8. Give s(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -985 - -1713. List the prime factors of o.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2. Let z(v) = -v + 2. Suppose 5*s = 2 + 13. Determine s*z(y) + 4*c(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -0.0545.\nAnswer: -4.0545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6432162 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 203692877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2.8. Let r = z - 0.7. Let q = 32 + -31. Which is the third biggest value? (a) q (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19910*r + 119461. What is m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 22*o**2 - 107*o**2 - 28*o**2 - 40*o**2 as g*o**2 + t*o**3 + v + s*o and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -328 - 12*s**2 + 336*s - 78*s**2 + 79*s**3 - 24*s**3 - 53*s**3 = 0.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 + 0*r**2 - 11*r**2 + 5*r**2.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**4 + 2*w**3 + 3748639*w**2 + 703619174*w.\nAnswer: -96*w**2 + 12*w + 7497278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*j + 4*p - 1, 0 = j + 4*p + 18. Let v(t) = -2*t**3 - 3*t**2 - 3*t - 2. What is v(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 0*r - 5*r - 10, -5*x - 5*r = 40 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwmjwjmmwjwjjwjw. What is prob of picking 2 m?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2151162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6\/11, 4, 45.\nAnswer: 0.3, 6\/11, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46\/9 + -212\/45. What is the biggest value in p, 5\/3, -4\/7, 0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 68 = -0. What is the remainder when 25 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*j = 20, -j = -2*l + j + 8. Suppose l*o - 53000000 = 5*o. Round o to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -4, -4, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4 = 6. Solve x**4 - 3*x**4 - x**3 + 2*x**2 - x**5 + 2*x**a = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 5\/4*b**4 - 3\/2*b**2 - 1 + 0*b**3 + 0*b. Find the second derivative of u(y) wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1695 or -1699?\nAnswer: -1699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91050.2 micrograms to tonnes.\nAnswer: 0.0000000910502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -17. Sort x, -0.1, 0.3.\nAnswer: -0.1, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 4\/13, 0, -0.4, 5 in decreasing order.\nAnswer: 5, 4\/13, 1\/10, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 7*j**2 + 6*j + 2. Let k be i(-6). Suppose -4*v + 20 = -2*n, 0*n + v + 40 = -4*n. Let o be 8*(-5)\/n + k. Solve -s + 1 = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 9\/10*y**5 - 16*y**3 - y**4 + 0*y - 11\/80*y**6 - 8*y**2 + 0 + 1\/140*y**7. Factor n(v).\nAnswer: 3*(v - 4)**3*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v**2 + 4*v**2 - 5*v - 3*v + 17 + 4*v**2. Let g be j(-7). Let q = g + -94. What is the remainder when 110 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4*w + 3930 = 3893, -5*w = 4*h - 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-8))\/(-2 + 1114\/556)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 463094 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 238, 351, 466?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + n + 1881 = 0, -z - 3*n = 2*n - 465. List the prime factors of z.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2 - 342*c - 4721. What is l(-15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00290072731 rounded to 6 decimal places?\nAnswer: 0.002901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:38 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 385686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from wovooxx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.42 - 0.02. Let y = -485\/7 - -69. Which is the smallest value? (a) l (b) -0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 551682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*d**2 + 350451*d + 14018 = 0. What is d?\nAnswer: -14018, -1\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 175076 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h + 31. Let d(o) = -2*o + 1. Calculate 4*d(n) + x(n).\nAnswer: 3*n + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2754463.51 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*l + 4 + 0*l**3 + 2*l**3 - 5*l**3 + 9*l**3 - 54*l as r*l**3 + q*l + f + w*l**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 4, -0.4, 25\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -4, -6733, -32?\nAnswer: -6733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + 7\/((-63)\/(-48)). Suppose -k = -m - m. Solve 13 - 1 = m*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 255992932 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -395, -391, -385, -377, -367?\n\"Answer: t**2 + t - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2. Let j(r) = -3*r**2 - 6. Let k(x) = -x**2 - 1. Suppose 2*m - 6 = -4*m. Let d(c) = m*j(c) - 6*k(c). Calculate d(p(f)).\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 7. Let l be f(5). Suppose -14 = -x + l. Suppose -v = -5*v + x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-4)*39\/65\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/2 + 83*j**3\/2 + 81*j**2\/2 - 83*j\/2 - 41.\nAnswer: (j - 1)*(j + 1)**2*(j + 82)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 10:38 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(5\/3)\/v))\/v*(v**(-1\/18)\/v)\/v*(v**(-5\/4)*v*v)\/v**(1\/8) assuming v is positive.\nAnswer: v**(-79\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16089*c + 12. Let k be f(-5). Let p = k - -199345. Suppose p = -2*i + 912. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2*(-5)\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d - 8. Let w(b) = 4*b + 3. Let a(o) = -3*j(o) - 8*w(o). What is the remainder when 11 is divided by a(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x + 0 + 1\/6*x**3 + 1\/24*x**4 - 1\/2*x**2. Let y(j) be the first derivative of k(j). Give y(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -1533, 4, 0.035?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358 - -363. Let z be (v - (4 - (-9 - -5))) + -7. Let b(k) = k**2 + 10*k - 3. Give b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572194532 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 3210317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 (base 8) in base 3?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -481 times 82\nAnswer: -39442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 198 (base 13) to base 7\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1 + 4 + 4*v - 4. Let m(s) be the second derivative of -s**3\/2 + s**2\/2 + 3*s. Let z(d) = 5*c(d) + 6*m(d). Differentiate z(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/(5 + 70\/(-15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*q**4 + 3*q**3 + 547*q**2 wrt q?\nAnswer: 2712*q + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47984884*h**6 + h**3*q + 28*h**2 + 3*h*q - 142217*q wrt h.\nAnswer: 5758186080*h**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.208 - 3.208. Let y = -1.6 + 2. Let x = 8 - 7.7. Put x, p, y in decreasing order.\nAnswer: y, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 >= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 61*m - 458 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2319003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) 2\/7 (c) 1\/6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-two fifteenths of a century?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**3 + 1215*a**2 - 10140*a + 20650. Let l(k) = -5*k**3 - 607*k**2 + 5072*k - 10324. Let f(w) = 2*i(w) + 5*l(w). Find p, given that f(p) = 0.\nAnswer: -129, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 8\/3318847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 8:24 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233 - 73. Let o be 5\/h*92 + -3. Which is the smallest value? (a) -0.1 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -17*a - 2. Let n(z) = z**3 + 100*z + 2041. What is n(c) + 6*s(c)?\nAnswer: c**3 - 2*c + 2029","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/6)\/(-1))\/((-924)\/198)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 3 + sqrt(252) + (sqrt(252) - (sqrt(252) + -3 + sqrt(252))) + 4 + sqrt(252) + (sqrt(252) - 5*(-1 + sqrt(252))**2) + -1).\nAnswer: -3753 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -185, -185, -187, -191?\n\"Answer: -h**2 + 3*h - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 12. Let r = 8 + -3. What is the smallest value in 0.4, -4, t, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347*a**3 - 33*a**2 - 3*a?\nAnswer: 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320470 rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2056 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 57708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkq. What is prob of picking 2 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90.88 + 93. Let c = a - 0.12. Let k = c + -2.00066. Round k to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 48112*s + 48112. What is u(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, k: 12}. What is prob of picking 3 k?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-360)\/(-72) - 22\/12*2. Factor -2*m**2 - 2\/3*m**3 - g*m + 0.\nAnswer: -2*m*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddddaxddddxk. What is prob of picking 2 x?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 4 + 6. Let b(p) = -p**2 - p + 2. Let q be b(0). Let m(u) = -u**3 - 7*u**2 - 6*u + 5. Let t be m(-6). Sort q, r, 4, t in descending order.\nAnswer: t, 4, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let d be 30\/4 + 4\/8. Let n(a) = 9*a + d*a + a - 7*a. Calculate m(n(c)).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -8*w + 522. What is the highest common factor of w and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knn when three letters picked without replacement from {n: 7, k: 9}.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42036842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 7:55 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(((q*q**(-3\/10))\/q)\/q)*q**1)**(3\/23))**13 assuming q is positive.\nAnswer: q**(1287\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078 divided by 41?\nAnswer: 1078\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3306 and 4368879?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3 and 61\/357?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -108*y - 54. Let r(z) = 13*z - 2. Let c(u) = -2*b(u) + 54*r(u). Let j(i) = -34*i. Give -5*c(h) - 136*j(h).\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 - 6) - -3 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n + 9. Suppose -n*a + 0*a + 6 = 0. Calculate the remainder when 4 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = 4*a + 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6 - 4\/6. Suppose f = t - 0*t. Let a = -4 + 2. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637550497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53710.74 months to years.\nAnswer: 4475.895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 + 14 - 32*c**2 - 161 + 2*c**2 - 15*c**2 - 189*c = 0. Calculate c.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6417 less than or equal to 6417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97598 (base 10) to base 11.\nAnswer: 67366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1\/(-2))\/((-126)\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 12*z**2 - 8*z - 18. Let n(h) = h - 6. Let w be n(-6). Let u be x(w). Suppose 64 = o - u. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13068 + g**2 + 13068.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2299) + -4 + sqrt(2299) + 2 + (sqrt(2299) - (sqrt(2299) + sqrt(2299) + 0)) + sqrt(2299) + 1)**2 + 4 + -4.\nAnswer: -44*sqrt(19) + 9201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12243249, -12243264, -12243279, -12243294, -12243309?\nAnswer: -12243324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (87\/15)\/(1\/5). Let j = z - 15. Calculate the remainder when 41 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210233 + -103?\nAnswer: 210130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 84 + 82 - 13*a + 83 - 239. Calculate i(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76\/1 + -1 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2 + 66*s - 11. Let a be g(-13). Is 2\/(-4) + 2\/(a\/(-101610)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 88\/5 - 12\/(-30). Let j = -15 + o. Let u be (-1 + 5 - 3)*j. Let p(b) = b**2 - 3*b + 4. Give p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6926*d + 55406. Determine g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1766*a - 407. Is f(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 93314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 + 129 + 185)*(-7*k**2 + 17*k**2 + k - 12*k**2 + k**3) to p*k + z*k**2 + u + f*k**3 and give z.\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1765723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*i - 46, -12356*n = -12354*n + 5*i + 42 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 26326220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -46. Let j = r - 17. Solve 5*m + 3*a + 1 - 4 = j, 0 = -5*m - 4*a + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 9*j - 7. What is the least common multiple of j + 1 + (-6 - -4) + 4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603 + c + 1869 + 3*c - 6*c.\nAnswer: -2*c + 1266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 11) in base 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -72. Sort j, -64, -3 in ascending order.\nAnswer: -64, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2\/2 + 46537*g\/2 = 0.\nAnswer: -46537, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:01 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-12)*10\/15.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3189.765mm?\nAnswer: 3.189765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4823675, -4823677, -4823689, -4823717, -4823767, -4823845, -4823957?\nAnswer: -4824109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -3 - 5\/7. What is the closest to -1 in x, -4, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8378 - 8374. Sort 0, l, -287.\nAnswer: -287, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 18 = 4. Suppose 16 + h = 9*s. Solve 2*l + s*l = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 232? (a) -0.3 (b) 1 (c) 2 (d) 11410 (e) 1\/3 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4754490182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 873 or 51?\nAnswer: 873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 5 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 913 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**4 - 2268*r**3 + 257632*r**2 = 0.\nAnswer: -664, 0, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2\/3 - 35708*l\/3 - 2555432\/3 = 0.\nAnswer: -71, 8998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**3 - 4*i**2 + i + 2. Let p be m(1). Suppose 56 = -0*h + p*h. Solve 0 = -g - g + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2854028 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*d + 29. Solve 25 = d*z - 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 10*f**2 + 7*f - 3. Let y be i(-9). Suppose 0 = -h - 5 + y. Solve -3*m = 4*u + h, u + m - 4 = -3*m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -66*v**3\/7 + 292*v**2\/7 - 414*v\/7 + 188\/7 = 0. What is v?\nAnswer: 1, 47\/33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14046416*h**3 + 54037*h**2 + 60*h?\nAnswer: -84278496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 1517*z**3\/6 - 585*z**2\/2 - 87*z + 21. Find the first derivative of n(x) wrt x.\nAnswer: 1517","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - f = 2355, 2*f + 1431 = 2*q + 497. Suppose -5*w - l = -q, -2*w + 284 = w + l. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:18 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-180)\/(-450)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58185 + -3?\nAnswer: 58182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5629+7.01\nAnswer: 6.4471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 12*s**2 - 62*s + 35. Suppose -7*l = 310 - 198. Let j be f(l). Solve -4*r + 31 = -5*i, 3*i + 0*r + 3*r = j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(245)*-3 + sqrt(5) + -5)**2.\nAnswer: 190*sqrt(5) + 1830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(77)*1 - sqrt(77))*-2)\/((sqrt(189)*-1)\/sqrt(3)).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n - 12. Let m(y) = y**3 + 7*y**2 + 7*y + 9. Let k be m(n). Put k, -1, -0.1 in ascending order.\nAnswer: -1, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 71145181 (b) 1\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-980094)\/(-15) + 48\/(-80) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 18 = 7*s - 28. Sort 20, s, -4, -18, 4 in decreasing order.\nAnswer: 20, s, 4, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/49 - (28\/77 - 13345\/39270).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*m + 12 = 0, 2*i = 4*i - 5*m + 11. Let x(w) = i + 4*w**2 - 2. Let j(r) be the second derivative of -7*r**4\/12 + 11*r - 7. What is x(j(f))?\nAnswer: 196*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5)*(-5)\/6820*110\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 23 + -28 - 24\/(-3). Let z be 1 + 1 - (-56)\/(-22). Let l = 0.45 + -0.05. Sort z, l, m in decreasing order.\nAnswer: m, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 14*i**2 - 2 - 3.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118546557?\nAnswer: 3, 37, 1067987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*c = -204. Suppose -5*x = -3*y - 170, 0*x = x - 3*y - c. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/10695 and 41\/57040.\nAnswer: 171120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/1010 and -14\/909?\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88234639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542200301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 - 2*i**2 - i**2)*(5 - 5 - 2*i) + (0*i**2 + 2*i**2 - 4*i**2)*(0 + 0 - i) + 11 - 11 - i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 - 8*h - 3. Give k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -730155*t + 299623 wrt t.\nAnswer: -730155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fvvvqvjfjjjyfjjvv. Give prob of sequence qvjv.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1141.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1654490454 to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66608.9 meters to micrometers.\nAnswer: 66608900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 15*k - 30. What is u(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6777.3 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603 a factor of 1769267562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/12 - i**3 - 3*i**2 + 45*i. Suppose b + 4 + 6 = m, -12 = -4*m - 3*b. Calculate t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 14, -1, -34, -91?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 15*t**2 - 4*t + 70. Give m(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (101 + -66 + -2 + -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*y - 15570 + 7415 = 1180*y + 12675 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 15 - (-10 - -34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - 6?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 1. Let v(f) be the third derivative of -f**5\/30 + 7*f**4\/3 - f**3\/6 - 48*f**2. Let u be v(28). Calculate j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*s - 12, 4*s = 3*o - 2*o + 16. Suppose 4*m + z + z - 1228 = o, 4*z = -4*m + 1232. What are the prime factors of m?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/3)\/f*f)\/f)**47 assuming f is positive.\nAnswer: f**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l - 336*l**2 + 2 + 334*l**2 + 0 to the form p*l + g*l**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + 4*d + 3. Determine l(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.05 (b) 4\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -91542.8598 rounded to the nearest one thousand?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2818, -2819, -2820?\nAnswer: -2821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7))**(-46)*(c**(2\/7))**(-12\/5))\/((c\/(c\/((c\/((c*c**(-5))\/c)*c)\/c))*c*c**3)\/(c*c**(-1\/4)*(c\/(c*c**2))\/c)) assuming c is positive.\nAnswer: c**(-3651\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1356*s**3 + 46413*s - 139242*s + 46412*s + 46417*s.\nAnswer: 1356*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p - 4. Let k = 1014 - 1019. Calculate z(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/4 - (17 - (-1098)\/(-60)). Which is the third biggest value? (a) 4 (b) n (c) -1\/991\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 - 2*q**3 - 5*q**3)*(22*q + 35*q + 5*q).\nAnswer: -620*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3490 divided by 3?\nAnswer: 3490\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 6 = 3*j + 3*g, 2*j = 5*g + 4. Let h be 1 + (-4)\/j*2. What is the third smallest value in h, -2, -60, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169644 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:34 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 + 329. Let y = t - 5. Suppose 3*n - 13 = 4*z + 52, 3*n - 20 = -5*z. Solve y*q + n = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0071 and 177.66.\nAnswer: 177.6671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let s(y) = 2*y**2 + 4*y + 7. Let b(u) = -4*u**2 - 7*u - 13. Let r(m) = m**2 - 8*m + 6. Let o be r(6). Let i(j) = o*b(j) - 11*s(j). Give i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -25*h**8\/168 + 5*h**4\/12 + 3*h**2 + 2. What is the second derivative of r(u) wrt u?\nAnswer: -1000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3131002311 + 3?\nAnswer: 3131002320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {p: 2, f: 1, z: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**4\/12 + 7*i**3\/6 + i**2\/2 + 4. Let p(o) be the second derivative of q(o). Calculate p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -3. Which is the nearest to -3? (a) 1 (b) 0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9352\/36 + (-20)\/(-90). Suppose -k = -2*r + 1261, 484 = 3*r - 2*k - 1407. Let g = r - w. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -6. Let i = y + -5.5. Which is the closest to -2? (a) -4 (b) i (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k + 0*k**2 + 2*k**2 + 9*k - 3*k**2 to the form w + f*k + n*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14409 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -818*p**2 + 19*p + 65. Let i be g(-5). What is i rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/14)\/((-72)\/63 + 1). Calculate the greatest common divisor of x and 1620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**1*u)**(-36))**(-1\/30))**38 assuming u is positive.\nAnswer: u**(684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -97791 divided by -10333?\nAnswer: 97791\/10333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 3716981?\nAnswer: 3716983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2230 = -3*l, 4*l - 2952 = -4*j - 0*j. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 19*f**2 + 24*f + 9. Let v be b(-18). Let h = 196 + v. List the prime factors of h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a - 45*a + 82*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*2*4)\/sqrt(7))\/(-2*sqrt(1728) + (sqrt(12) - sqrt(144)\/(-2*sqrt(12)))) + 0.\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 4*f**3 - 14*f**3 + 17*f**3 - 4*f + 7*f**2.\nAnswer: -(f - 6)*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {v: 1, n: 7, e: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b + 16*b + 7*b - 27*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302.0000233 + 302. What is z rounded to six dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k**5\/5 - 10806*k**4\/5 - 94694*k**3\/5 - 62442*k**2\/5 + 94708*k\/5 + 73248\/5 = 0.\nAnswer: -763, -8, -1, -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860 = -188*x - 72*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-6)*(-1878)\/(-626). What is the fifth smallest value in u, 2, 3\/5, 5, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -2, -3 in descending order.\nAnswer: 6, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, u: 2, h: 1, q: 2, m: 1}. Give prob of sequence qu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 599538 bigger than 599537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.47*1842468\nAnswer: -865959.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 847\/18 - 752\/9. Calculate the common denominator of -13\/51 and q.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1179708 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86 + -84. What is the third derivative of -68*t**2 - 2 - 254*t**3 + 70*t**b + 284*t**3 wrt t?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 - -86. Which is the third smallest value? (a) -4 (b) y (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) -1 (b) 15 (c) -4664\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5958 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 262, 293, 328, 367, 410?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 3*f**2 - f + 3. Let q be r(3). Suppose q = -0*a + 4*a + 288. What are the prime factors of (-5022)\/a - 1\/(-4)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = g + 55, 0*f - 239 = 5*g - 3*f. Let i = -31 - g. Let b(s) = s**3 - 8*s**2 - 6*s - 5. Let h be b(10). What is the greatest common factor of i and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.89311 - -18.9594.\nAnswer: 39.85251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a factor of 96537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let l(f) be the second derivative of f**4\/6 + f**3\/2 - 2*f. Let x(u) = -u**2 - 2*u. Let i(z) = -2*l(z) - 3*x(z). Give i(g(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/56 and 11\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 1. Let g(t) = -2*t - 3. Let c(v) = -5*v - 7. Let q(d) = -4*c(d) + 9*g(d). What is 7*q(b) - 6*s(b)?\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150.7 + 2.7. Let g = u - 138. What is g rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 151 + 31, -5*d = 3*r - 28 + 184 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -6, -30 in increasing order.\nAnswer: -30, -7, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 311*f**2 - 5 - 300*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16704113 or -16704110?\nAnswer: -16704113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (12 + (-11 - (8 - 11))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:29 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 42112055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5906.\nAnswer: 2, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bihyyyyqhy. What is prob of sequence yh?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, u: 5, v: 5, l: 3, k: 1, q: 1}. Give prob of picking 2 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -1261, -1760, -2173, -2500, -2741, -2896?\nAnswer: -2965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.5, -581?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22*(-1)\/3)\/((-2)\/(-4)))\/(4\/6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3660712?\nAnswer: 2, 11, 17, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 10*x**2 + x - 1. Let z be s(-10). Let p be (11\/2)\/(z\/(-44)). Suppose -p = 6*c - 352. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -9*l - 11. Suppose 11 + 81 = 4*v - l*u, 4*u = v - 17. Which is smaller: v or 26?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 3396. Is y\/3 + 2\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0214 and -522.8.\nAnswer: 11.18792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g + 992*g**5 + g - 130*g**5 + 863*g**5 - 1733*g**2 wrt g?\nAnswer: 103500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1160431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 60\/643, -11736, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(-11)\/22*-30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26056 - -33904. What is the remainder when c is divided by 102?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -51. Suppose -4*w + 425 = 3*s - 8*w, 2*s = -v*w + 274. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -4*b - 45. Let c = b + 0. Solve -w - 2*v - c = -4*w, 2*v = 4*w - 18 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 7 + 1 + -6 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.7744963 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**3 + 27*r**3 + 209738*r**2 - 209738*r**2.\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(1020\/48))\/(4\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-24) + 20\/16. Suppose -f*g - 4*m + 440 = 0, 5*g + 5*m - 673 = 412. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 17 + 165. What is the third derivative of z*u**3 - 27*u**2 - 6867*u + 6867*u wrt u?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-494 - 561*m + 494)*(0 + 0 - m)*(m + 0*m + 0*m + 5*m + m - 4*m + m - 2 + 2 + (-1 - 4 + 7)*(2 - 2 + 2*m)).\nAnswer: 4488*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 14692*s - 4935304 = 0. What is s?\nAnswer: 374, 3299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = -4*r. What is the third derivative of -4*x**2 + x**r - 4*x**4 + 6*x**5 + 3*x**4 wrt x?\nAnswer: 360*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u**2 - 4*u - 13. Let l(j) = -j**2 - j - 3. Let f(d) = -9*l(d) + 2*w(d). Let s(v) = -6*v**2 - 10*v - 10. Determine -8*f(x) - s(x).\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28377*a**2*w**5 + 2*a**2*w**4 - 2266*a**2*w**2 + 3*a*w**2 - 4*a*w wrt w?\nAnswer: -1702620*a**2*w**2 + 48*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnngg. What is prob of picking 2 g and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -28*m + 147. Let f be c(5). What is the third derivative of -3*h**6 - 4*h + 13*h**2 + 9*h - 2*h + 5*h**4 - f*h**3 - 5*h**4 wrt h?\nAnswer: -360*h**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55791.88um in nanometers?\nAnswer: 55791880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 134 = 34. Let d = o + 33. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 + 3*z**2 - z**4 + (-391*z + 454*z - 368*z)*(3*z**3 - z**3 - 4*z**3).\nAnswer: 609*z**4 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 1 (b) 5\/6 (c) -551.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -309125*r**3 + 7*r**2 + 666541*r wrt r.\nAnswer: -1854750*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 633 + -631. What is the lowest common multiple of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*b = 332 + 201 + 153. What is the greatest common factor of 1939 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169351 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -84, -146, -264, -456, -740, -1134, -1656?\nAnswer: -2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-10 - (2 - 5)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*c - 3, 8*i + c + 7 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(6\/5)*(v**(-2\/27)\/v)\/v**(4\/9))\/((v**(-12)\/v)\/v**(-2\/5))**(14\/5) assuming v is positive.\nAnswer: v**(4493\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25509 divided by 773?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -13*r**3 - 11*r**2 + 10*r + 5. Let a be u(5). Let c be 8 - 1 - (a\/(-35))\/9. What is y in -58\/7*y**3 + 0 + 48\/7*y**2 + 18\/7*y**4 - c*y = 0?\nAnswer: 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (5 - (7 - (-7 - -5)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22202302 + 0?\nAnswer: 22202302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/25 in -1\/3, -186, 2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010211 - 12221022?\nAnswer: -102002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -7) + (0 - (-2 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/((-540)\/9))\/((-10)\/(-4)) - 288\/(-1490)?\nAnswer: -1\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16203552 is divided by 35928.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1137*1\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305385906 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 + 0*r**3 + r**3 + 2 + r**3 - 2 + r**3 - 5*r**3 + 3*r**3 + (-r**2 + 2*r**2 + r**2)*(-r - 1 + 1) + (0*r - 6*r - 2*r)*(16 - 16 - 15*r)*(-r + 1 - 1).\nAnswer: -118*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/120*(-288)\/4872.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -48*y - 12. Is 38 a factor of o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 + -84 - ((6 + -4 - -6) + 0)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.801 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w + 89. Let x be y(-31). Let s(k) = 6*k**2 - 3*k + 4. Let l(v) = -1 - v**2 + 3*v - 2*v + 0*v. Determine x*l(f) - s(f).\nAnswer: -2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 103, 117, 137?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 181, 190, 217, 268?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340565 and 16?\nAnswer: 5449040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2 + 20\/9*a - 2\/9*a**2 = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -36*q**2 - 50*q - 38. Let o(h) = 5*h**2 + 7*h + 5. Determine -2*c(w) - 15*o(w).\nAnswer: -3*w**2 - 5*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 20*v**2 + 2*v - 18. What is r(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-1)\/2)\/(10*11\/(-44))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 0*q**3 - 3*q**3 + 3*q**3 - 17 - 5*q - q + 9*q**2. Suppose 0 = 4*u - 25 - 7. Let z be t(u). Is -3 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51423 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -446 (b) 0.3 (c) 2 (d) -2\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.177 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -728.1 + 728. Which is the second biggest value? (a) 0.2 (b) -0.4 (c) g (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/40 - 7*l**5\/20 - 3*l**4\/4 - l**2 + 41*l. Find the second derivative of n(v) wrt v.\nAnswer: 18*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -187\/5, 1\/11, 34\/13?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/25 - 1612\/(-3380)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1303871\/45 + 57947\/2. What is the common denominator of n and -123\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2074011\/71056 + 4\/4441. Which is smaller: u or -29?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-58)\/28)\/(2\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjjpjpppjppjjpjjjjp. Give prob of sequence pe.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.1, 4\/7 in decreasing order.\nAnswer: 4\/7, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10152 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.75491 and 0.5232675.\nAnswer: -0.2316425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 162 + -154. Suppose 4*s = -3*p + 40, 0 = 2*p - s - 11 - 1. Is k >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + -1 + sqrt(7) - sqrt(7))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -13. What is the first derivative of w + u*w - 4 - 2*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10385 - 10369. What is the remainder when 365 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at most as big as -618\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/15626 and -103\/1187576.\nAnswer: 1187576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + (-17 + -5 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebc when three letters picked without replacement from {c: 1, e: 8, b: 8}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 40885 = 48015. Round j to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2723 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 707702 and 214?\nAnswer: 75724114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64192*f - 64167*f = 550750. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/6 - 13*j**4\/2 - 36*j**3 + 108. Find the third derivative of f(h) wrt h.\nAnswer: 60*h**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41918 - 41755. What is the remainder when q is divided by (-77)\/28*(-21 + 1)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6454 = 67*b - 6320. Sort b, -229, -1.\nAnswer: -229, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2766)\/(-8) + 9\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and 37.902.\nAnswer: 31.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 386\/531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r - 19. Let q(k) = -2*k**2 - 13*k + 40. Let t be q(-9). Calculate a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:18 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 133*n**2 - 1531*n + 186208. Determine f(134).\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-84))\/(115\/(-805)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 90 = 5*z, -4*z + z - x + 40 = 0. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 0.11 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 419 + -362. Calculate the remainder when i is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 - w**2. Let a(p) = -5*p**3 + 3*p**2 + 333*p - 2. Give -a(g) - 2*u(g).\nAnswer: g**3 - g**2 - 333*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + p + 4, -2*p + 4 = -4*p. What is the first derivative of -9*h + 15 + 21 + 3*h**3 - 4 + q wrt h?\nAnswer: 9*h**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - v + 107895 = 0, -23*v + 19*v = -12. Factor -2336 + 80838*w**2 + 30492*w**4 + 78705*w**3 + a*w + 1554 + 6614 + 3993*w**5.\nAnswer: 3*(w + 3)**2*(11*w + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 332799*k - 12 = 332801*k, 0 = 2*b + 2*k + 26 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2*m + 10 = l, 3*m - l = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118775?\nAnswer: 5, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-12)*-8*4*(-4)\/96?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3 - 1) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85582721753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*d + 9619 = -1838*d - 6959 - 8565 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43389009319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 - -377. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*s**2 + 957*s - 957*s.\nAnswer: 106*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 390684.7 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22650*h**3 - 9274*h**2?\nAnswer: 135900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1*(-1)\/(-3)). Let s = -10 - -5. Let k be 2*(-6)\/(-9)*-3. Sort k, s, x.\nAnswer: s, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 + 1519*q**2 - 155*q - 11. Let t(f) = f**3 + 304*f**2 - 31*f - 2. Let b(x) = -2*r(x) + 11*t(x). Find the second derivative of b(l) wrt l.\nAnswer: -6*l + 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyy when three letters picked without replacement from yyyyyyyyyyyyyyyyyq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4. Suppose z = 2*u + u. Suppose -3*x + 21 - 3 = u. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1501, 1502, 1503, 1504, 1505?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 5594262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45096 and 16?\nAnswer: 90192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10235 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.4 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + (-133 - -66) - (0 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 2*d - 1. Let n be x(5). Let s be ((-12)\/(-40)*15)\/(1\/30). Let t = s - n. Round t to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50006023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 243619 at most as big as 243623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/208 - (-4)\/26. Let u = -0.83 + -0.07. Which is the third smallest value? (a) m (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-1\/9)*z)\/z)**(8\/13) assuming z is positive.\nAnswer: z**(64\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028\/46599 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231231351?\nAnswer: 3, 13, 23, 257783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*497746\nAnswer: 4977.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1351\/8214 - -3\/1369. Let z(y) be the second derivative of 0*y**2 + 0 + 7*y - x*y**3. Let w(m) = -4*m**2. What is z(w(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 232 = 4*u, 2*u - 4*r - 106 = -0*r. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**3 - 33 - 29*s**3 + 7*s**3.\nAnswer: -11*s**3 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.116 take away -3386718.45?\nAnswer: 3386746.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191\/95 + -42\/19. Let f = -13 - -13.07. Let i = -0.17 + f. What is the nearest to i in 1\/6, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:47 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4194)\/(-36) + (-7)\/(-2). Calculate the greatest common factor of t and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 129*s - 133*s - 69, 0 = -5*t - 14*s + 53 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-2)*(-132)\/9. Let u be (3 + 25\/10 + -5)*52. Calculate the greatest common factor of w and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5\/11 - 10*w**4\/11 + 4*w**3 + 184*w**2\/11 + 208*w\/11 + 64\/11 = 0.\nAnswer: -2, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*w - 8 = 0, 4*w + 3 = 177*q - 182*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226557.\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -182, -366, -550, -734?\n\"Answer: -184*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a + 75*a = -20212. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 28091695.\nAnswer: 28091696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 780*j**2 + 797*j**2 - 11850 - 1579*j**2.\nAnswer: -2*j**2 - 11850","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -12. Let m(p) = 1. Let u(c) = c + 7. Suppose -2*w - z + 6*z + 22 = 0, -3*w = 2*z + 5. Give h*m(n) + w*u(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737300 rounded to the nearest 10000?\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2509 is divided by 500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4360045809 take away 4?\nAnswer: -4360045813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:48 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.39886 + 4.4. What is d rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3231121 (base 4) in base 15?\nAnswer: -477d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60931*r**4*t - 3*r**3 + r**2*t - 17*r*t - 8161*r - 2*t wrt r?\nAnswer: -731172*r**2*t - 18*r + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzrrzhprzhz. Give prob of sequence hpzm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-15)*l**(-3) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6373772 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6894881?\nAnswer: 7, 71, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 - 525 = -5*j. Suppose 122 = 5*v - j. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**2 + 80*x - 231*x + 0*x**2 + 3 + 80*x + 82*x + 17*x**3. Let h(b) = -6*b**3 + 2*b**2 - 4*b - 1. Give -11*h(o) - 4*s(o).\nAnswer: -2*o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*z - i, -3*i + 10 + 3 = z. Does 9 divide (-6)\/(z\/(-6) + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 2441*i - 2431*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*j - 49*j + 24*j)*(-3 - 1 + 1) + (j + 1 - 1)*(-1 - 1 + 4) in the form m*j + k and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 44*r = r - 16*r. Put -387, r, -2, 6, -3 in increasing order.\nAnswer: -387, -3, -2, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 157333.1 millennia?\nAnswer: 1887997200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -l, 21*v - 5*l = 22*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2315056 and 5140.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 255795669161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (116 + 3*c - 56 - 44)*(-7 + 0 + 1) in the form r + m*c and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 77. Determine h(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -9*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 899820*z - 2699433.\nAnswer: -3*(z - 299937)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -30*o + 70\/3*o**3 + 28 - 85\/2*o**2. Factor w(s).\nAnswer: 5*(2*s - 3)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l - 33*l - 4 = 0, 6*l - 2*l - 2 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3823 divided by 1.\nAnswer: 3823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 - 85781704*f\/3 + 919812592642952\/3 = 0.\nAnswer: 21445426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*-88.2.\nAnswer: 10.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4569*l - 127. Is m(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (2\/(-4))\/(4\/16). Which is the third biggest value? (a) -2 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 12:02 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 3*p**2 - 5. Let a(w) = w**3 - 4*w**2 - 6. Let l = -14 + 20. Calculate l*i(q) - 5*a(q).\nAnswer: q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 515749.2mm?\nAnswer: 51574.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2078 is divided by 129.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/6)\/(2\/(-12)). Suppose -3*w + 19 = -0*q - q, -2*w + l = -2*q. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360\/(-280) - 12\/(-28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, s: 1, v: 1, n: 1, d: 1, y: 1}. Give prob of picking 1 d and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(12\/54). Let p(m) = -42*m**4 - 3*m**2 - 13*m. Let h(w) = w**2. Let u(j) = q*h(j) - p(j). Find the second derivative of u(r) wrt r.\nAnswer: 504*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 14 + (-1 + -9 - (4 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6155*d**3 + 2*d - 2890.\nAnswer: -18465*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -461045\/42 + 10976. Calculate the common denominator of 67\/8 and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 8:08 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, n: 11}. Give prob of sequence nnn.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-9) - 3\/(-18)*4. Let y(g) = -g**3 + 3*g**2 + 5*g - 1. Let m be y(4). Let x be l + -3*(-1)\/m. Calculate the highest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 8:16 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -470*w**2 + 23 + 14 - 37 + 47*w**2 in the form p*w + c + b*w**2 and give b.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 49484199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + -61)*(-1 - 0). Suppose -l = -5*o + 15. Suppose -64 = -0*f - 2*f. Calculate the highest common divisor of o and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -90*r + 1679 + 2084 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((-92)\/(-23) - (-22)\/(-6)). What is the nearest to k in 15, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76974 + 5*x - 76974.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = -17. Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9241.75984 and -5?\nAnswer: 46208.7992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16517324 (base 9) in base 13?\nAnswer: -193b2bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 = -3. Let m be ((2 - t) + 7)\/1. What is the highest common factor of 50 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 - q + 1. Let z be f(1). Suppose 2*i + 3*i + 5 = 5*p, -i - 5*p + 17 = z. Solve -2*x - i*x + 16 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3843 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 2*a**2 - 3*a - 4. Let i be v(-2). Suppose 2*u + i*u = 5*x - 2, 3*x + 6 = 0. Is -4 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1056\/9139?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1)\/2 - -3. Let h(l) = -l**2 - 116 + 302 + 6*l + l - 153. Let o be h(-3). Solve -o*m + 2*m + 2*y = -f, 3*m + 3*y = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 6*x**2 - 10*x - 11. Let h(a) = -a**3 + a**2 + a - 1. Let y(i) = 2*h(i) - w(i). List the prime factors of y(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3\/(-9)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/279384 and -35\/2952.\nAnswer: 34364232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-2)*10*(-20)\/(-250)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*t + 0)*(-5 + 4 - 2)*(3*t**3 - 5*t**3 - 4*t**3) in the form i*t**3 + u + g*t**2 + y*t**4 + m*t and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2937267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 188\/3 (c) -1 (d) -19 (e) -4 (f) -2\/81 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/7 of a week?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -v + 3*y - 20, 0 = -5*y - 15. Let b = v - -161. Calculate the highest common divisor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749451 is divided by 44082.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 x when three letters picked without replacement from rsmxrsxmr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 997766?\nAnswer: 1995532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2044 - -314?\nAnswer: 2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -2, 1\/3, -63, 3\/7?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1217593 minus 0.21010422?\nAnswer: -1217593.21010422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 927 - -3?\nAnswer: 92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddrr when four letters picked without replacement from drrddddr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.83 rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121002 + -1000?\nAnswer: -1122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/9 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567 and 11451051?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 108 and 12952.77.\nAnswer: 13060.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhyj when four letters picked without replacement from jyjhjjy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24443 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -30*l. Let g(p) be the third derivative of p**4\/8 - 184*p**2 - 2. Calculate y(g(d)).\nAnswer: -90*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w + 29*w**2 - 38*w + 19*w**2.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/3 or -23?\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 84. Let a be m(-21). Solve -2*f - 14 = -5*w, a = -5*f + 3*f - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-21))\/((22140\/(-210))\/41)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 2. Let z(u) = -u + 2 + 5 - 8 + 0*u. Calculate b(s) - 2*z(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1\/3, -7, 2.6, -5, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201 + -12000232212?\nAnswer: -12000300013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:05 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5144.466 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -51*r**2 + 5876*r - 1295. Calculate x(115).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-10)*(-6)\/(-63).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -15. Let w = 24\/11 + 311\/44. Let j = w - 17\/2. Which is the third biggest value? (a) j (b) -5\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -25*t - 18. Does 12 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(104)\/(sqrt(64)\/(sqrt(32)\/sqrt(4) + sqrt(8)))*1 - (sqrt(1872)*-2 - sqrt(1872))\/sqrt(4)*2))**2.\nAnswer: 675792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 8*q**3 - 5*q**3)*(-3 + 3 - q) + 3*q**2 - 2*q**4 - 3*q**2.\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.156 - 0.156. Which is the third smallest value? (a) -1\/3 (b) f (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-790)\/33 - (-4336 - -4312)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/40 and 107\/194540?\nAnswer: 389080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7204396 is divided by 1229?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -7 + 2)\/(2 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**3 + t**2 - t + 1. Let c(k) = -k**3 - 7*k**2 - 59*k - 317. Let b be c(-6). Determine x(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + sqrt(99)*-2*6 - sqrt(99))*-3)\/(sqrt(99)\/(2*sqrt(891) - sqrt(891) - sqrt(11))))**2*1.\nAnswer: 912384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.5, -0.21, 20, -6?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(20\/(-4)) - (-28 - 1). Suppose 3*y - 4*m = 3, 4*y - v = -4*m + 3. What is the second derivative of -21*g + 4*g**y + g**5 + 7*g**5 - 2*g**5 wrt g?\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)\/i)\/i**(1\/6)*(i\/(i\/i**(-2\/3)))**(-1\/5) assuming i is positive.\nAnswer: i**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -14*c**2 - 5*c - 6. Let w(u) = -17*u**2 - 6*u - 9. Determine 6*i(s) - 5*w(s).\nAnswer: s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23911196?\nAnswer: 2, 19, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/3)*w)\/(w**(1\/8)*w))\/(((w*w**(-1\/2)*w)\/w)\/w)**(-2)*(w**8*w*w**(1\/2))**(-2\/55) assuming w is positive.\nAnswer: w**(-2381\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let p be 2\/(-11) + 18\/99. Let w(t) be the second derivative of 0 + p*t**3 + 1\/6*t**4 - 4*t + 0*t**2. Determine v(w(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2158*c**5 + 2292*c**4 - 3*c**2 - 18*c + 70322.\nAnswer: -129480*c**2 + 55008*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 43\/(-42) + 13\/78.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-896)\/(728\/26)*1\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 6*v + 78. Let i(l) = 2*l**2 + 5*l - 65. Let a(t) = 5*g(t) + 6*i(t). Let z(y) = -7*y**2 + 100. Give z(a(w)).\nAnswer: -28*w**4 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -5. Let o = 8545 + -8542. Let h(p) be the second derivative of p**3\/3 + p**2 - 12*p. Let n(v) = -v - 2. What is o*n(d) + u*h(d)?\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -119000000 rounded to the nearest 1000000?\nAnswer: -119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 104560041\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -974578 + 974683. Suppose 66*h + k*h**2 + 75\/2*h**3 + 12 = 0. Calculate h.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 68.18.\nAnswer: -68.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -173 times -22.9\nAnswer: 3961.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((1*sqrt(833) + 1 - 5*-1*sqrt(833)) + 2 + -5).\nAnswer: -10 + 210*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 4*p - 1. Let y be o(-2). Suppose y*z = 7*z. Suppose 0 = k + h - 8, z*k + 4*h = -2*k + 16. Solve 4*w = 6*w + k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 4306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13880206*t - 12247166 wrt t?\nAnswer: -13880206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 1517413067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 1:11 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:17 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1325 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2118 = 36*g + 2586 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 + (-4 - -1*(-2 - -4)). List the prime factors of (644\/6)\/((-8)\/w).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.013 and -6.7713.\nAnswer: 0.0880269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(572)\/(2*sqrt(1584)))**2 + (sqrt(1872)*2*-4 + -1*sqrt(1872)*2)**2.\nAnswer: 26956669\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -5.1. Let d be (11\/76 - 6\/(-57)) + 12\/(-32). Which is the closest to -1\/2? (a) d (b) z (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -0*o - o, -5*o + 34 = 3*r. Let d(t) = t - 1. Let s(c) = -6*c + 8. Let j(p) = r*d(p) + s(p). Let z(k) = 7*k. Give z(j(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22600843 less than 11.7?\nAnswer: -22600831.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 39*o + 3. Let a(m) = 9*m - 26. Let v(x) = 10*x - 48. Let z(h) = 11*a(h) - 6*v(h). Give 3*d(y) - 4*z(y).\nAnswer: -39*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 100*b + 105.\nAnswer: -5*(b - 1)*(b + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3000 - 1133?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynl. What is prob of sequence yn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 62*s**2 - 3*s - 11. Let r = -112 + 112. Suppose 10*k - 16*k - 12 = r. Does 45 divide t(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1218888.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**8*v))**(-1\/8)*((v*v**6)\/v)**8 assuming v is positive.\nAnswer: v**(377\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 1 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 19*h**2 + 31)*(447*h**2 - 225*h**2 - 262*h**2) - 5*h**4 + 4*h**4 - h**4 as r*h**4 + d*h**2 + k + u*h**3 + f*h and give r.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 3*q**3 + q**3 + 30 - 21 - 6*q**3 + 43 to z*q + y + t*q**2 + k*q**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.7 (b) 2\/3 (c) -306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 3*f + 12 = 0. Suppose -v + f*v = -3*r + 11, -v - 17 = -4*r. Solve -r*p + 15 = -5*j - 26, 3*j = 2*p - 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5439*r**2\/4 - 5869*r\/2 - 430.\nAnswer: -(r + 2)*(5439*r + 860)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 4:58 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(39)\/sqrt(3) + 3 + -4)*-6 + (sqrt(637) + sqrt(637) + 2*sqrt(637) + 0)**2 + -1 + 0.\nAnswer: -6*sqrt(13) + 10215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -122*s**2 - 133*s**2 + 256*s**2. Let u(o) = o**2 - o + 1. Let q(w) = -44*w**2 + 28*w - 28. Let v(f) = 2*q(f) + 56*u(f). What is k(v(a))?\nAnswer: 1024*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 447\/(-6) - 24\/(-16). Let w = b + 106. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5475299.\nAnswer: 61, 89759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 6, -10*h = -12*h + 4*z - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24215.3311 rounded to 0 decimal places?\nAnswer: -24215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 485 + -492.86. Let d = y - -0.86. Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2013 at most as big as 2012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g - 9. Calculate the least common multiple of s(1) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 494*z - 494*z + 2*z**2. Let n(v) be the third derivative of v**4\/8 + v**2. Determine n(g(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -37, -99, -217, -403?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*q**3*w**4 - 8*q**3*w**2 - 169*q**3 - 178*q**2*w**5 + q*w**2 wrt w.\nAnswer: 264*q**3*w - 10680*q**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/9)\/(12\/(-18)). Let n(g) = g**2 - 2*g. Let y be n(c). Find the second derivative of -6*p - 62 - y*p**2 + 62 wrt p.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1\/3, 1\/4, 18, 2.18?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -9.28, -3, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71*d**2\/4 + 22539*d\/4 + 17545\/2.\nAnswer: -(d - 319)*(71*d + 110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(0 - -2) + 14. Let k be ((-2)\/s)\/(88\/(-122)). Let j = k + -11\/30. Are -1 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182666262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 173, 262, 351, 440, 529?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-5\/3))**4\/(h\/h**(-1))**(-32) assuming h is positive.\nAnswer: h**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 7*f - 23. Let b be h(-5). Let j = 360 + b. List the prime factors of j.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -19, -5, 2, 1, 62 in ascending order.\nAnswer: -19, -5, 0, 1, 2, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 9 = 3*b, 2*i - 12*b + 6 = -14*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(1 - 1 + 3*l**2) + (5*l - l - 2*l)*(4 - 6 + 3)*(18*l - 9*l + 6*l).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -46fe90 (base 16) to base 5\nAnswer: -2142341223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.7 and -2.39?\nAnswer: -25.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + v - 1. Let t(m) = 4*m**2 - 2*m + 2. Let z be 14\/6 - (-1)\/(-3). Let s be z*(-2)\/4 - (-3)\/1. Let i(o) = s*t(o) + 3*x(o). Give i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2779667? (a) 0.1 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 378 = -5*j - 273, -2*j - 4*g + 20 = 0 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 4*u + 1.\nAnswer: (u + 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -21313\/569?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12. Suppose u = -3*d - 2*d. Suppose 4*c + 192 = 4*k, d = -c + 1 - 6. Calculate the remainder when k is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 - 3222100212?\nAnswer: -3222101230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccfccc?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153750*a*f + 168*a*o - 34781*f + 8*o - 5 with respect to a.\nAnswer: -153750*f + 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124584 and 20?\nAnswer: 622920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 30305454 (base 6) to base 10\nAnswer: 864394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 0 + 2 + 2. Suppose o = 5*j - 0*j. What is the units digit of 3 - j - 14\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343035 (base 6) to base 12.\nAnswer: 14a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3 + 3*c*l**3 - 11*c*l - 535*l**3 wrt c.\nAnswer: -6*c**2 + 3*l**3 - 11*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 + 577*p - 808*p - 3*p**2 to z*p + a*p**2 + g and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 8. Let r be v(-8). Solve 0 = x - r + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:38 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 10 + -2 + 28 + -29.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - o - 170 = 0, 0 = -4*g + 3*o - 0*o + 220. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 8 + 0*x**2 + 4*x**2)*(7*x - 3*x - 3*x).\nAnswer: 2*x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -361 + 501. Suppose -139 + 519 = 38*s. Calculate the smallest common multiple of b and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(150)*2*5)\/((-1*sqrt(36) - sqrt(4))\/sqrt(2)))**2.\nAnswer: 46875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 37*k - 159. Let r be f(-41). Let a(i) = -9*i + 5. Calculate a(r).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Let d = -36 - -36.94. Let q = -0.99 + d. What is the third smallest value in q, l, -4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*m**3 - 126*m**3 + 0*m + 0*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2119 = -5*h, -114 = -2*k + 3*h - 1157. Which is greater: k or -530?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -5\/12*a**4 - 1\/3*a**3 + 5*a**2 + 0*a + 0 - 1\/60*a**5. What is the lowest common multiple of v(-9) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 54, 2*h = -18*o + 13*o - 54 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89880 - -4?\nAnswer: -8987a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 214.556 and -3338?\nAnswer: 3552.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 32 + 4 = -o, 5*n = 2*o + 168. Solve 4*z - n = -4*i, -4*z - i = -2*z - 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121143 is divided by 40371?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*99\/84 - 8\/28. Let q(a) = 67*a + 1. Let r be q(-1). Sort r, h, 5 in ascending order.\nAnswer: r, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.3 + -17. Let x = 0.3 + -0.4. Let v(y) = 12*y - 60. Let z be v(5). Which is the third biggest value? (a) z (b) x (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 26*x**2. What is p(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 1691 - 3*a**2 - 1691.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 4 + 2 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**3\/6 - 5*p**2\/2 + 3*p. Let g be f(12). Let n(q) = 0*q - g + 5 - q. Determine n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*f - 156*f + 2 = 0. Solve 5*s + f*u = -15, -3*s - 2*s + 4*u = -15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/26 + 72\/351.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 7*m + 12. What is the closest to m in 0.2, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2313 - 1015 = -3*q, -q = 3*h - 1996. Which is smaller: 667 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1884950616?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (14 - 3) - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 75*y**2 - 2 + 1 - 75*y**2 - y**3. Let b(r) = -3*r**3 - 3. Let d(f) = -2*b(f) + 5*w(f). Suppose v - 7 - 4 = 5*t, 0 = -5*t - 10. What is d(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20423?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*c**3 + c**2 - 5681 + 5681 to the form r + a*c**2 + s*c**3 + i*c and give s.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*g - 1, 2*z + g = -4 + 1. Let x = z + 1. Let b = x - -5. Solve 0 = 2*f + b*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10550?\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -172759 and 18?\nAnswer: -3109662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n + 8. Give g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 920521 and 231.\nAnswer: 30377193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a - 2. Let c(p) = -20*p + 7. Let x(j) = 6*c(j) + 17*v(j). Let f = 2 + 8. What is the lowest common multiple of x(-8) and f?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.1 + -12. Let t = -19\/18 + 245\/198. Let m = t - -16\/33. Is m less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 910 divided by 398.\nAnswer: 455\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 204*x + 202*x + 6 = 0, 2*x = -m - 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 4:24 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 433350 and 27097750?\nAnswer: 5350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 1)*(z**2 - 115*z**2 - 117*z**2)*(-2*z**2 + 2*z**2 - 2*z**2).\nAnswer: 2772*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-3))**(20\/9)*h**7\/((h**(7\/3)*h)\/h))**19)**15 assuming h is positive.\nAnswer: h**(190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 258361203?\nAnswer: -1\/258361203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-2 - -1 - -4). Let q be (4*1\/g)\/(-2). Let p be 54 + -1 + q + 1. What is p rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**3 + b**2 - b + 1. Calculate d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14124537 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5 and -49\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.61 (c) 15\/1118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 + 6*z - 1. Let t be w(7). Let m = -9 - t. Let n be (-9)\/(-36) - (0 - 0). Do n and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x**2 - 2*x + 9. What is the remainder when 53 is divided by t(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -15.6115590749559.\nAnswer: -15.5115590749559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 310*b - 290. Let c(p) = -62*p + 58. Let z(y) = -14*c(y) - 3*n(y). What is the first derivative of z(d) wrt d?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1300 + -1305. Let j(k) = 3*k**2 - 25*k - 9. Let f(g) = -g**2 + 8*g + 3. Let r(w) = -7*f(w) - 2*j(w). Let o(u) = u + 1. Calculate y*o(m) - r(m).\nAnswer: -m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v**2 + v. Let i be w(-2). Let o(r) = r**2 - 14*r + 158. Let a be o(8). What is the greatest common factor of a and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11878892*(12\/4)\/(-3). Let v = 1878892 - p. What is v rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 593\/4 + -149. Put a, -5.6, 0, 2 in descending order.\nAnswer: 2, 0, a, -5.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/39 and -5\/27?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.3 and 50779.\nAnswer: 167570.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - -1956232?\nAnswer: 1956204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/10*2\/(-2). Solve 0 = -3*h - l*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -5 (b) 0 (c) 1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5*v + 312 = 557, 2*v = 7*r + 123 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 5 + 1 + 10*w**3 - 24*w**3.\nAnswer: -4*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 661 + -356. Suppose -c - f + 183 = 2*c, 5*c = 4*f + u. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 6*v**2 - 4*v + 31. Let d be g(-7). Calculate the highest common divisor of 120 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2143996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(3))*-3*-3.\nAnswer: -45 + 45*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-15))**(-50)*r**22*r\/((r*r**(8\/7)*r*r)\/r))**(-29\/5) assuming r is positive.\nAnswer: r**(-156281\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4579 divide 457089517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138646864 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3150732 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -285, -677, -1215, -1893, -2705?\nAnswer: -3645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13237*a + 13239*a + 5*j + 12, 0 = -2*a + 3*j + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 57\/6)*(2 - 0). What is the tens digit of 12 - 13 - (-230)\/j*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*l + 40 = 0, 0*n - 54 = -5*n + l. Let u = 22 + -18. Calculate the lowest common multiple of n and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/24 + 2454\/8. Suppose -7*g = -g + h. Let u = -49 - g. Solve 13 = 5*x + 4*k, -x + 0*k = -u*k - 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20111221 - 202111100?\nAnswer: -1000000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/13 - (-51019485)\/65. Suppose 61*x = y + 1051795. Round x to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067357421.\nAnswer: 9221, 224201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15468403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**8\/20160 + b**7\/840 + b**6\/144 + 5*b**5\/6 - 35*b**2. Let g(m) be the third derivative of v(m). What is g(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -l**3\/6 + 3*l. Let t be y(0). Let d = t + 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o + 5*i + 24 = 0, -2*o + 5*i = -22. Let q be -2 + 8*(2 - o). Let m be (5750\/q)\/(2\/(-24)). Round m to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2 = -3*c, -4*c - 8*f + 1 = -11*f for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -458326732*l**3 - 350697495.\nAnswer: -1374980196*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 8*q - 11169 - 34908, 2*z + 2*q = 18436. What are the prime factors of z?\nAnswer: 13, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m*m\/(m*((((m*m**(-14)*m)\/m)\/m)\/m)\/m*m))\/((m**(1\/11)\/m)\/m)**(1\/12) assuming m is positive.\nAnswer: m**(403\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2739 is divided by 2309.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83533285.8 rounded to the nearest 100000?\nAnswer: 83500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 + 331. What is the remainder when 293 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 2 - (-2)\/10*15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = 0. Suppose 4*r - 13 = -5. Find the third derivative of 2*q**r + w*q**3 + 3*q**3 + 0*q**3 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 1514071342*r - 1514071342*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030614495 to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -540, 2638, -5 in ascending order.\nAnswer: -540, -5, 2638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 + 796713116.7836\nAnswer: 796713113.6836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 63?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 2314240.\nAnswer: -231424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**2\/2 - 905. Let a(m) = m**2 + 769. Give a(r(d)).\nAnswer: d**2 + 769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.1172 rounded to 1 dp?\nAnswer: 107.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16387 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 7634 and 66?\nAnswer: 22902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 276*d + 123*d.\nAnswer: 399*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*347\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 66 = -13*y + 4*y. Solve -42 = -y*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1670*s + 1. Let d be q(-1). Suppose w + 3*y = -3*w - 4673, -y + 5846 = -5*w. Let z = w - d. What is z rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20884024 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28000 is divided by 9284.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 0)\/1 - -6. Let f(m) = -m**2 + 6*m - 6. Let s be f(4). Suppose -4*k - i = 0, -a = -s*a - 5*k - 3. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -10)\/(-3) + (1150\/23)\/(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43051 + 1?\nAnswer: -43050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g**2 + g. Let s(v) = -v**5 - 2*v**3 - 7*v**2 - 2*v. Let k = -7 - -9. Let z(n) = k*h(n) + s(n). What is the third derivative of z(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*x + 74*x - 897 = -72*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*p**2 - 162*p**2 + 3 - 5 - 3*p)*(8*p**2 + p**2 + 5*p**2).\nAnswer: -42*p**4 - 42*p**3 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -45.82.\nAnswer: -9.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46158793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6 + 66\/184. Let p = t - -6547\/3036. What is the common denominator of -25\/8 and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in -20, 0.4, -0.07, -0.3, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 277 - 272. Put 1, f, -2, -12 in increasing order.\nAnswer: -12, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*u - 11 = 0, -q + 76*u - 301 = -23*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/663*(-5)\/280*-42\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7055 is divided by 617?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*(sqrt(300) + 1*sqrt(300)))**2 + sqrt(300) + sqrt(300) + (sqrt(300) - (3 + -2*sqrt(300))) + 0).\nAnswer: -115182 - 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 125, 306, 561?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86903 = 5*q - 3*p, 0 = p - 6 + 5. Let r be (-56 + 26)*q\/(-6). Round r to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 1:02 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19673, -39343, -59013, -78683, -98353?\nAnswer: -118023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39478*c**2 - 39394*c**2 + 118488*c**2 - 39505*c**2.\nAnswer: 111*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 11 in ascending order.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5470172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 105672 - -23*(-11 - -10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-15)\/(-12)) + (121 - -27). Calculate the highest common factor of w and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 - 74*k**3 + 622*k**2 + 1634*k - 8664.\nAnswer: 2*(k - 19)**2*(k - 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/208 and 89\/780?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30693 - 27872. What is the remainder when g is divided by 122?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:49 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 378684544?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 161609 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 165600 divided by 3312?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 1. Suppose 0 = -c, 0*l - 2*c = l - 4. What is y(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1603 is divided by 318?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247096 is divided by 2187.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20457 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 1886?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79\/3 + -26. Let h = -3.6 - -4. Which is the third smallest value? (a) 3 (b) y (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841680 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*c**2 + 2 + 177405*c - 177405*c to w*c + x*c**2 + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 4*o - 20 = 0, w + 5 = 5*o. Let i = -11 + 16. Suppose -3*l = 3*x - 7*l + 2, -3*x + 3*l = 0. Sort i, w, x in descending order.\nAnswer: i, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7490494 to the power of 1\/2, to the nearest integer?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20381 is divided by 258?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**4\/6 + t**3\/2 + 3*t**2\/2 - 194*t. Suppose 1 = -2*f + c, -4*f + 5*c + 3 + 4 = 0. What is y(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132db4 (base 15) in base 9?\nAnswer: 1653447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -15*h - 61*h - 639 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730 - 142 = 7*t. Let k be (18\/81)\/((-9)\/(-1944)). What is the greatest common factor of t and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c + 80 + 56 + 72 - 224 + 52.\nAnswer: -24*c + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10250011181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15505, -37707, -59909, -82111, -104313?\n\"Answer: -22202*w + 6697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*g + 685, 4*m - 1378 = 2*m + 2*g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12196*j + 6. Let v be w(-2). Let b = 585427\/24 - v. What is the common denominator of 4\/16 + (-628)\/(-144) and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 16 = -x - 5*b, -2*x = -b - 8. Solve a - 4*p - 9 = 0, 4*a - 2*a - 10 = x*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368262493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -23. Let t = g - 7.7. Let y = 0 - 2. Sort y, -3\/4, t in increasing order.\nAnswer: y, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 v when three letters picked without replacement from ttvqctqttttttvtv?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -33063 not equal to -231433\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 6:32 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (-24 - -173 - 59)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -15cb3?\nAnswer: 15cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-353*j + 352*j + 766*j)*(2 + 3 - 4)*(-3*j + 0*j + 5*j)*(27 + 12 + 0).\nAnswer: 59670*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 37, 62, 107, 178, 281, 422?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-1 + -4 + -5 - 5*((-1 + sqrt(396))*-2 + sqrt(396)))**2.\nAnswer: -760*sqrt(11) + 4761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2109*b**3 + 4*b**2 + 5*b - 24. Let j be a(-8). Round j to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.06, 6, -1, 582?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12088? (a) -3012 (b) -1 (c) -0.4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 13324*x**2 + 5*x - 2*x - 13326*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + a = 3, -j + 6 = -6*j + 2*a. Let c be ((-1)\/(-2))\/(2\/12). Put c, 4, j in decreasing order.\nAnswer: 4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -88706 - -15?\nAnswer: -886c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72001, -293930, -663823, -1181686, -1847525, -2661346?\nAnswer: -3623155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 - 13) + 1 + 2 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 + l**5\/10 - l**4\/8 - 4*l**3\/3 + l**2. Suppose 5*p + 5 + 10 = 3*x, -5*x - 25 = 0. Is a(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*d = -10, -i = 3*d - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x. Suppose -i - 7 = -3*k + 7, 27 = 4*k - 3*i. Let q(m) = 123*m - 119. Let z be q(1). Let r(a) = 3*a. Calculate k*r(c) + z*v(c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/11 - 18\/99. Suppose -d*w = -115 - 215. What is the highest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*f + 116388 = 149*f + 2534*f for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 319*f - 299*f - 80 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*-1*5*(-92)\/345. Which is the biggest value? (a) 1\/2 (b) -2\/13 (c) 0.1 (d) 0.07 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.605 - 40.0421. Round p to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4 - 12*u**3 + 9*u**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/8)*k)**(-16))**(-44))**(1\/13) assuming k is positive.\nAnswer: k**(792\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**6\/180 + 5*v**3\/6 - v. Let o(d) be the second derivative of n(d). Let r(z) = 9*z**2. Calculate r(o(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 5:33 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3292.03229 rounded to the nearest 10?\nAnswer: -3290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 12*t + 16. Let p be m(11). Let g(b) = -b**2 + 29*b - 188. Let v be g(18). Solve -p*j + 0*j = v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, 23, -3 in descending order.\nAnswer: 23, 3, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3710712886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.749583ug in grams?\nAnswer: 0.000000749583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7135 + -3619. What are the prime factors of w?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1164166, 2328485, 3492804, 4657123, 5821442?\nAnswer: 6985761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305 + 2658544025.\nAnswer: 2658544330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1110*m**2 + 20225*m*p**3 + 4*p**3 + 128746*p**2 + p + 1 wrt m.\nAnswer: -2220*m + 20225*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2*b - 27 + 11.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374302.\nAnswer: 2, 23, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.65 - -0.15. Let q = -4 + -2. Let z = q - g. Which is the third biggest value? (a) 0.5 (b) 2\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -805 = 2400*f - 2407*f. Calculate the highest common divisor of 184 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32f5 + -2d?\nAnswer: 32c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -362788 (base 9) in base 4?\nAnswer: -311113322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = -22*h + 3933. What are the prime factors of h?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/11)*u**(-2\/5)*(u**(-2\/29)\/u)\/u*u\/(u**(-7)\/u*u) assuming u is positive.\nAnswer: u**(8532\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 137 - 141. Let d(b) = -3*b**3 + 2*b**2 - b - 18. What is the tens digit of d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 4. Let y(g) = -g + 20. Let k be y(-8). Suppose -4*w = -p + k, w + 2 = -0*w - p. Let h(u) = -8*u + 4. Determine w*h(q) - 7*b(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-65)\/(-10) + 9\/(-6). Let b(l) = 13*l - 5. Let j(f) = 38*f - 14. Let o(r) = q*j(r) - 14*b(r). Calculate o(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 + 68.5. Let t = -66.00000044 + q. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, 1\/2, 1\/7, -1\/10, 0.7989, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6606 or 6605?\nAnswer: 6606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-3) + 14 + -10. Suppose i - 3 = -0*i. Is s bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*r = 34*r + 798391. List the prime factors of r.\nAnswer: 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0267 times 0.7423?\nAnswer: -0.01981941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*o - 514, -7*o - 1 = 20. Solve 144 - g = 8*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 767, 1534, 2301, 3068?\n\"Answer: 767*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*x**3 - 1969*d*x**2 - 12*d*x + 126*x - 5 wrt x.\nAnswer: -6*d*x - 3938*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let w(d) = 110*d + 85. Let m(b) be the second derivative of -2*b**3\/3 - 3*b**2\/2 + 4*b + 7. Let g(a) = 170*m(a) + 6*w(a). What is g(r(z))?\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*w**3 - 1005*w**3 + 62*w**3 - 451*w**3.\nAnswer: -1250*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -290*k**2 + 35. Let b(o) = 17*o**2 - 2. Determine -105*b(t) - 6*u(t).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34619 + -33639. Which is smaller: w or 981?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 8*t**2 + 2*t. Let x be i(-1). Let a(l) = -2*l. Let j be a(-3). Sort x, 2, j in increasing order.\nAnswer: 2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -2 + 4 - -1. Let u = i + -1. What is the lowest common multiple of u and ((-20)\/(-30) + 0)\/(4\/30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 4*z + 2. Let j be u(-4). What is the second derivative of 5*o**j + 4*o**2 + 2*o**2 + 4*o - 4*o**2 wrt o?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 994616*d**2 + 6962140*d - 5967528.\nAnswer: 4*(d - 248647)*(d - 6)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -355472.\nAnswer: -710944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 264389168?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 8*n**2 - 8*n**2)*(-350*n + 245 - 245).\nAnswer: 1400*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - 5*m + (-m + 3*m + 0*m)*(1 - 5 + 3))*(1 - 4 + 4).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -223, -222, -219, -214, -207?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/((-4)\/18))\/(-33 - -32). Calculate the greatest common factor of 72 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(448)*2 - ((sqrt(448)*-1 - sqrt(448)) + 1)) + -1)**2 + (sqrt(448) + sqrt(448) + 5 + -2)**2 + 1 + (1*sqrt(448))**2.\nAnswer: 160*sqrt(7) + 4046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2257, -4031, -5809, -7591, -9377?\n\"Answer: -2*v**2 - 1768*v - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(1\/3)))\/y)\/(y**(-3\/31)\/y) assuming y is positive.\nAnswer: y**(71\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**0\/q))\/q)**(10\/11)\/(q**(-2))**(10\/3) assuming q is positive.\nAnswer: q**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/((-580)\/(-5742)*33)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 189 - 185 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 812*m + 8425. Calculate the remainder when i(-9) is divided by 221.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-8))\/((-15)\/900*-15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfzcrjm. Give prob of picking 1 z and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18) - -12*(-12)\/(-162)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2438262378?\nAnswer: 2, 3, 45153007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 6*c**2 - 3*c - 15. Suppose -5*z - 5*v - 25 = 0, -2*z + 3 = 4*v + 11. Calculate the remainder when 10 is divided by u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/216 and 67\/391228452.\nAnswer: 2347370712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20147 - -20145.5. What is the biggest value in 0.023, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(((-14)\/(-21))\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -6. Solve d - 2*d = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-15) - 646\/(-1). Factor -5*u**3 + 643 + 5*u**2 - 1292 + s.\nAnswer: -5*u**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - (11 - 17) - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 6*g + 2. Let w(l) be the third derivative of -l**5\/60 + l**4\/24 + 2*l**2. Let x be w(3). Let i be v(x). Solve -i*d + 2 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(13) - 1*(sqrt(13) + 4)) - (3*sqrt(26))\/sqrt(2).\nAnswer: -2*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/3 - 9*j**2\/2 + 3*j - 289. Let a = 24 + -17. Give n(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 + -22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*z + 34*z - 22*z)*(1 + 6 - 1)*(3*z - 3*z + z + (4*z - 2*z + 0*z)*(4 - 2 + 0) + z + 0*z + z) as f*z**2 + x*z + c and give f.\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*o + 891 = -670. Let p(k) = 5*k**3 + k**2 - 6*k + 6. Let s(j) = -6*j**3 - 2*j**2 + 7*j - 7. Calculate o*p(x) + 6*s(x).\nAnswer: -x**3 - 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28\/11 - -184\/55. Let i be (-2)\/(-3) + (-2)\/3. Sort i, -0.2, k.\nAnswer: -0.2, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -326?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55, -53, -51?\n\"Answer: 2*w - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 8941 = 8497 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 - -4846?\nAnswer: 486d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6 - 46. Suppose y = -7*u + 3*u. Let a(j) = j**3 + 10*j**2 + 2*j - 4. Is a(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 3*b**2 - 4*b + 3. Suppose 7 = 2*i + 1. Let w be r(i). Is (1869\/w)\/(2\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 + 12*i**2 + 16*i**3 - 10*i**2)*(3*i - 3*i + 4*i) in the form v + s*i**2 + p*i**3 + t*i**4 + g*i and give t.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 16632.\nAnswer: 16631.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5633?\nAnswer: 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8826719483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 39 = -3*h, -3*s - 1939 = -3*h - 1972 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/5040 and 71\/601740.\nAnswer: 16848720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 71. Suppose 0 = -s + p*r + 30, -5*s = -0*s - 5*r - 50. What is the greatest common divisor of s and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1072 - -1646. Let w be (-20)\/5 + 10 + 4 + 563. Are w and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-18)\/((g\/(g**36\/g))\/g) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99040005 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Suppose -5*q - i*d = 0, -3*d + 1 = -q + 5. Let x be 2*(1\/(-2) - 1). Sort x, 2, q in descending order.\nAnswer: 2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 29*y**2 + 117*y + 295. Determine r(23).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2006 is divided by 294?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) 4 (b) -10 (c) -46 (d) -5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 9*n + 13. Let r be m(3). Suppose 5*q - 11 = 9. Let y be 1\/q - 52\/48. Sort r, y, 2, -2 in descending order.\nAnswer: 2, y, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) 6 (c) -1 (d) -0.2 (e) -0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 117*q + 605. Calculate the remainder when 157 is divided by s(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - q**2)*(-3 + 1 + 17).\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -78. Put 3, z, -25 in decreasing order.\nAnswer: 3, z, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1519728.81 and -0.02.\nAnswer: 30394.5762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(20)\/sqrt(4) + 4 - ((sqrt(120)\/sqrt(3)*5)\/sqrt(8))**2) + -2.\nAnswer: -124 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 282 = -2*q, -12 = q + 3*q. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/320 and -35\/3196.\nAnswer: 255680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 15 = 3. What is the second derivative of 0*u - 9*u**5 + u + o*u**5 + 5*u wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 329 + -322. What is the greatest common divisor of z and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6)*-6*4. Let n(o) = p*o + 6*o - 14*o + 2*o**2. Let v(f) be the second derivative of -f**4\/12 - f. Calculate v(n(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 4*f**2 + 0*f**2 - 4*f**2.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 247 - 85 = 0. Suppose -4*c = -i + w, i = 4*i + 3*c - 87. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368*o + 294844 = 219*o - 987164. Does 78 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49346759999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 7*x**2 + 112*x - 127. Calculate n(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {n: 3, c: 1, d: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -956 and 36423007984.\nAnswer: 36423007028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(18)\/(sqrt(27)\/sqrt(3)) - ((sqrt(200)\/(sqrt(40)\/sqrt(4)))\/sqrt(10))**2))*-4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14 + (-35368)\/2496)*(1 + -3) and 17\/42.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - 28*p + 3 + 33*p - 3.\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 6*y. Suppose y = -5*n + n + 16. Put -6, 2, n in ascending order.\nAnswer: -6, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55950407 is divided by 680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15116.\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65)\/(-3)*3 - 1. Suppose 6*t + w = 8*t. Let x be -1 - (-4 + 92\/t). Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 39196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-21))\/(2\/14). Suppose -b + 5*m + 39 = 0, -f*b = 5*m - m - 8. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from nlhnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 914 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -13.00000075. What is w rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*d + 10*d. Let i(m) be the second derivative of -d*m - 1\/2*m**3 - 2\/5*m**6 + 0*m**2 - 9\/10*m**5 - 1\/14*m**7 - m**4 + 0. Let i(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.6 + 36. Let l = 6.6 + k. Let x = 5\/52 - -2\/13. Sort x, 5, l in descending order.\nAnswer: l, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1391 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 3*k + 2. Let z be (-4)\/(-3)*-2 - 12\/9. Determine a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 224 - 28. Let d = r - -81. Calculate the remainder when d is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 1098\/11. Which is the third biggest value? (a) -3 (b) 2\/7 (c) p (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11663 + 1760. Let t = w - -326914\/33. Let i = 42\/11 - t. Which is the third biggest value? (a) i (b) -0.3 (c) 0.44 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35890*k**3 + 22861*k wrt k?\nAnswer: 215340*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/8 + 1173*h**3\/2 - 990781*h**2\/2 - 451778604*h - 74169490952 = 0. Calculate h.\nAnswer: -292, 2638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(5\/(160\/108))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154876?\nAnswer: 2, 31, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 328362 - 125815. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507, 934, 1653, 2664, 3967?\nAnswer: 5562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 7*h - 4. Let a be (10\/(-12))\/((-15)\/90). Let y be s(a). Suppose 0 = -5*c + 4*g + 439, y*g - 3*g = 5*c - 438. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/28 + 3\/(-60). Which is smaller: a or 5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from {s: 2, v: 3, r: 5, j: 3, k: 2, c: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 6. Let o = -2 + 4. Calculate the remainder when w(4) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -27 + -2 + 2 + -10 + -40 + 3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.6, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72995503 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29836a - 4?\nAnswer: -29836e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-488)\/5)\/(516\/1290). Is a at most as big as -485\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/5*240\/80\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 140145939 from -2569.\nAnswer: -140148508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1580\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 14 - 170 = 0. Let r be (-11)\/(-66) + j\/(-12). Is r > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 423*t**2 - 826*t**2 + 425*t**2. Let m(g) = -11*g**2. Determine m(d(y)).\nAnswer: -5324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1542805*j**4*x**3 + j**2*x**3 - 2*j*x + 2*j - 2*x**3 - 1942*x - 24 wrt j?\nAnswer: 18513660*j**2*x**3 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5733 and 3276?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 6. Suppose -j + 4*u + 62 - 176 = 0, x = -5*j + u - 646. Round j to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1762.99925 + 1763. What is f rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56088 and 3192304?\nAnswer: 1177960176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22508 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 4. Let j be 4\/h - 8\/36. Let u(f) = f**2 - f - 7. Give u(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*k + 31062 - 54, 2*j + 46520 = 3*k. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 258 = -2*n, -5*b + 3*n = -76 + 396. Let g = b - -120. What is the remainder when g is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1331) + -1)**2*6 + -5)*-2.\nAnswer: -16010 + 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 213.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 9*u - 20. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107661 - 16517?\nAnswer: 81143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13.0073 * 0.2\nAnswer: 2.60146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18098 = 2*i, -14*y - 18122 = -2*i - 12*y. What is the least common multiple of i and 30?\nAnswer: 90570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 13*b**2 + 3478*b - 68252. What is q(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 137056958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 - 59.6. Let z = y - 8. Let w = z - -2. Sort -1, w, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8*(16 - 36). Let g(a) = a**2 - 12*a + 62. Let t(h) = 2*h**2 - 22*h + 123. Let q(d) = b*g(d) + 2*t(d). Determine o so that q(o) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 580 + -596. Is o > -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.223 + 0.1406. Round y to three dps.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -936232 (base 12) to base 9.\nAnswer: -4314002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbbbfbbffbb. What is prob of picking 1 f and 1 b?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 3:09 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253414 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = q - 90. Suppose q = 2*w - 59. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(6*(-1 + sqrt(13)) + -1 + ((sqrt(26)*1)\/sqrt(2) - sqrt(325)*1) + -2))**2.\nAnswer: -576*sqrt(13) + 2132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 15*t + 3 + t**2 + 17 - 10 + 16. Let n be k(-13). Solve n = -2*v + 3 + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q. Let t = -475 + 471. Let z(b) = -9*b**2. Let h(v) = 26*v**2. Let p(n) = t*h(n) - 11*z(n). What is p(d(w))?\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239763484 to the power of 1\/3, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 + 476. Let q be -2 + 8 + -2 - 0. Suppose -5*s + q*h + 22 = -u, s - 42 = 3*h. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -21.\nAnswer: -21, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*m + 4*m. Suppose 0*j = 5*j - 222010. Let k be j\/m - 3\/9. What is k rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, z: 7}. What is prob of picking 2 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**3 + 60*q**2 + 64*q + 3. Let d be m(16). Solve d*r = 2*i - 3, -4*i - 4 = r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + -4. Let z(g) = -5*g**3. Let t(w) = 9*w**3. Let v(q) = -q**2 + q. Let a be v(-1). Let l = a + -2. What is l*t(h) + p*z(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 = 3*p + 2*v, 3*p - 3*v - 3 = 0. Find the first derivative of -4*c**3 + p*c**3 - 3 + 2 - 3 wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let t be 3 - (-2 - z)\/2. Find the third derivative of 5*l**5 + 0*l**2 - 2*l**2 - t*l**5 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n**2 + 2*n)*(1560*n - 4 + 3 - 1562*n).\nAnswer: 4*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2 - 2\/(-4). Solve k*m + 5*m = 2*l + 3, 2*m + 2 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1548 from 0.0039.\nAnswer: 1548.0039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132836 and 1697212.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 358 and 2.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857507426?\nAnswer: 2, 428753713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, j: 3, u: 3}. Give prob of sequence bjuu.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**3 - 17*h**3 - 6*h**3 + h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 426256.2857 - -0.5?\nAnswer: 426256.7857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 196 = -0*m + m, 3*k + 5*m = -170. Let l be (k\/40)\/(1\/(-12)). Let p be 1\/l*(-8 - 1). Which is the biggest value? (a) 4 (b) 2 (c) -0.3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-490) - ((-514)\/(-1596) + 15\/(-35)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42639992.00097 - -42639760. Let w = 239 + -471. Let a = l - w. Round a to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 608814, 608816, 608820, 608826?\n\"Answer: g**2 - g + 608814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(84)*-1 + (sqrt(84) - -1*sqrt(84)*-6)*-3)\/(sqrt(768)*-2*1*1*6).\nAnswer: -3*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1324 - -1899. What is the remainder when s is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 630\/40 + (-1)\/(-4). Let b = r + -15. Does 9 divide 5 - (-4 - (1 - b))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = c - 5, f + c + 15 = -3*f. Let s = 2 + f. Put -3, s, 4 in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 257*n**3\/6 - 929740*n**2 - 21706*n\/3 = 0?\nAnswer: -2\/257, 0, 21706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -686 - -690. Let q(t) = -2*t**3 - 4*t**2 - 4. Suppose -16 = 3*g - 1. Let o(v) = -3*v**3 - 5*v**2 - 5. Determine g*q(k) + l*o(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(76) + (sqrt(76) - (-1 + sqrt(76) - sqrt(76))*1) - (-2*sqrt(76) + 0)) + ((sqrt(76) + sqrt(76)*1)**2 + 5)*-2.\nAnswer: -612 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5\/5 + 8*l**4 - 38*l**3\/5.\nAnswer: -2*l**3*(l - 19)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + b = -2*b + 2, -6 = -2*r + b. Suppose i - 25 = -r*j, -2*i - 2*j + 38 = -j. Let w = i + -11. Calculate the remainder when 17 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/20*(-8 + 199 - 6). What is the greatest common factor of t and 1295?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, k: 2}. What is prob of sequence lk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16858195*y**4 + 2*y**2 - 45362810*y?\nAnswer: -202298340*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 10 = -4*l - 4, v + 5*l - 2 = 0. Solve v*o + 6 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c - 108. Let p be j(10). Suppose 0 = 5*l + 5*g - 3*g, l - 4*g = 0. Suppose p*n + 3*n - 15 = l. Solve h + 4 = n*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12400 and 344.\nAnswer: 533200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.29 - -2.62. Let g = 1.3 - d. Let b = g - 0.04. Round b to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 465*u + 1. Let v(n) = -n**2. Give t(v(m)).\nAnswer: -465*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = 3*r + 2*v, r - 3*v = 16. Let g(z) = z**2 - 5*z + 2. Calculate g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -63*r**2 + 3*r + 7. Let u(s) = 127*s**2 - 7*s - 16. Determine -4*u(k) - 9*x(k).\nAnswer: 59*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18 = -2*f + f, 4*f - 23 = -3*y. Let h(g) = g**3 - 4*g**2 + 3*g - 5. What is the tens digit of h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1605*b**3 + 4*b**2 + 8*b + 1. Let d be i(-2). Let l = 20232 - d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*c - 2)*(4 - 3 + 0)*(-7 + 12 - 21 + (0 + 0 + 1)*(1 + 3 + 1)) in the form q + u*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 3283.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 k when three letters picked without replacement from {b: 1, z: 4, k: 2, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -c88170?\nAnswer: -c88175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 1\/16 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q*q**(-27)*q\/(q*q**(-4))*q*(q**(-39))**(-43) assuming q is positive.\nAnswer: q**1657","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 699*w**5 + 2494*w - 3 wrt w?\nAnswer: 13980*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 6*q. Let z be d(-6). Let x(c) be the first derivative of z*c - 1 - 10\/3*c**3 + 3\/2*c**4 + 2*c**2. Factor x(g).\nAnswer: 2*g*(g - 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyaaaxpaaaay. Give prob of sequence yaay.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m - 16. Suppose 0 = -4*r + 2*q + 136, r + q + 136 = m*r. Let v be r\/(-8) - 3\/(-12). Let o(g) = -g**2 - 3*g + 2. Give o(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 237690, 950796, 2139330, 3803298, 5942706, 8557560?\n\"Answer: f**3 + 237708*f**2 - 25*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.12 - -5.12. Let x = -401.4 - -433. Let z = x + -31.8. What is the third smallest value in 4, a, -0.5, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 110 = -6*p. Suppose p*i = -3 + 58. Solve i*j = 6*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -58 - 66. What is the remainder when w is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 - 5*t**2 - 4*t + 19. Let h(o) = -o**3 - o**2 - o. Let b(v) = 4*h(v) - m(v). Is b(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93\/(-2883)*31)\/((3\/4)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -60 + 85 + -53 - -23.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.1276 + -12.7276. Let z = -0.5 + 0.2. What is the second biggest value in z, d, 13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((sqrt(108) + (sqrt(108) - (3 + sqrt(108) + 1)) + -4 + (-1 + sqrt(108) - sqrt(108)))*5)**2.\nAnswer: -2700*sqrt(3) + 4728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36.6 + -36.2. Let f = -0.4 + 1.4. Which is the closest to f? (a) -4 (b) -2\/17 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1778525 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.26 + 125.26. Let g = 115.9 - q. Let d = 0.4 + 0. Which is the second biggest value? (a) d (b) -1\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + s - 1, -1 = -s + 2*s. Let r(h) = -38*h + p + 35*h - 1. Let x(b) be the first derivative of b**2 + 1. Give x(r(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 201001?\nAnswer: -201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.051626 litres in millilitres?\nAnswer: 5051.626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1618, 2 in increasing order.\nAnswer: 2, 8, 1618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(2 - 6) - (0 - -4). Solve h + 0*h + 1 = o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-5)\/(-150)*8\/(-18)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 - (6 + -8). Let v = c + 0. Solve 0*a + 3*a - 2*w = -3, 2*a + v*w + 18 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**3 - 7*n**2 - 31*n - 8. Let b(f) = f**3 + f**2 + 8*f + 2. Let r(p) = -4*b(p) - s(p). Let i(k) = 21*k**3 - 8*k**2 + 2*k. What is 3*i(z) + 8*r(z)?\nAnswer: 7*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 22. Find the second derivative of -4*o + 16*o**2 - 27*o**2 + 20*o**j wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irvrrkrvivvtrvivkv. What is prob of sequence vrv?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:58 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 4. Suppose 0 = g + 3*b + 29, -78 = 4*g + k*b - 2. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 43*u + 48. What is the remainder when j(-37) is divided by 63?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + 3*p**2 - 4*p. Let h be c(3). Let z = h - -478\/7. Suppose -12\/7*l**2 - z + 2\/7*l**3 + 24\/7*l = 0. What is l?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -3*s + 8*s. Suppose i - s = -1. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oanonyoaxoooa. What is prob of sequence an?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/257, 0.14, 0?\nAnswer: -3\/257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 18 - 4*b**2 + 7*b**2 - 3*b**2 - 3*b**2 + (0 + 2*b + 0)*(2 - 2 + b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 69) + (1 - -12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*d, -30*y - d = -27*y - 16. Suppose y*o + 326 = c, -5*c - 5*o = -c - 1262. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 7511*p**5\/60 - p**4\/12 + 652*p**3\/3 + 12375*p**2. What is the second derivative of i(m) wrt m?\nAnswer: 15022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2461 + 2453 = 4*o, y = -5*o - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2 + 11*i - 8. Let w(c) = 6*c**2 + 7*c - 5. Let k = 10 - 18. Let q(s) = k*w(s) + 5*g(s). What is the second derivative of q(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/224 and 19\/392.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 30 - 25 - 19 - 5*w + w**2. Let p(f) = -f**2 - 7*f + 7. Let x be p(-7). Give q(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7707541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwtt when four letters picked without replacement from {b: 1, t: 2, w: 2, z: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 207941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-3))\/((-1)\/(-1)). List the prime factors of p\/(-2) + (-10)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/129 + 133\/258. Let d(f) = -f**2. Let t be d(0). What is the biggest value in -8, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1313210 - 30?\nAnswer: -1313240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75, 72, 69, 66, 63, 60?\n\"Answer: -3*s + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 3 = 18*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**3 + 4*g**3 + g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 87118286473.\nAnswer: 87118286469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 c when four letters picked without replacement from {m: 2, v: 2, c: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 341, 759, 1311, 1979?\nAnswer: 2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(144))\/((sqrt(165)\/sqrt(5))\/sqrt(11)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3973 = -2*j - 0*s, -j = 4*s - 1997. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1607547 divided by -19.\nAnswer: 1607547\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 1, z: 2, c: 1, x: 2}. Give prob of sequence zn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*c + 44, 0*a - 5*a + 5*c + 320 = 0. Let d be (a\/(-6))\/((-2)\/2). Let h = d - 3. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - -3 - -10 - (21 - 19).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.38 + 2.18. Is k less than or equal to 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1824 and 10640?\nAnswer: 63840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484 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: Let w(b) = -2*b. Let h(u) = 397*u. Determine h(w(i)).\nAnswer: -794*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3c1 (base 14) to base 5.\nAnswer: -4112423","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 38028 + -38028.000038397. Round g to six decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2735, -2733, -2731?\n\"Answer: 2*r - 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2097*c**3*m**3 + c**3*m + 2*c**2*m**3 - 1667*c**2*m**2 wrt c.\nAnswer: 12582*m**3 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*k + 65*k - 61*k)*(2 - 2 - 4)*(2*k**2 - 2*k**2 + k**2).\nAnswer: -340*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60539 is divided by 156.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:45 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/2310 and -9\/22?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -12. Let a(s) = -s**2 - 10*s - 2. Let l be a(-5). Let d = l - o. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 360 = -6*q. Let r = q + -48. Is -10 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*r + 14, 4*c = -2*r + 11 + 7. Find the second derivative of 5*g + 2*g + r*g - g**3 - 2*g**3 wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 - -198. Suppose -118*v = -a*v + 310. What are the prime factors of v?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 563792303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-135)*(3\/(-6) - 675\/(-54)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 6:02 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((2 - 0) + -1)*(30 - 29) + -1. Which is smaller: -11\/226 or n?\nAnswer: -11\/226","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23304865, -46609729, -69914593?\n\"Answer: -23304864*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-13)*(-173)\/346?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-15)*20\/40 + 2020\/50?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:50 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 64\/1344*(-3)\/2\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408567060 and 297.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -1, -5, -11, -19, -29, -41?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6) - -2)*-3. Let z(h) = -h**3 - 3*h**2 + 4*h + 3. List the prime factors of z(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44211837157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 862559, 3450284, 7763183, 13801262, 21564527, 31052984, 42266639, 55205498?\nAnswer: 69869567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*d + 8 = 0, -8 = -8*s + 11*s + 2*d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, z: 4, r: 3, h: 2, p: 1}. Give prob of sequence rhph.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/13, -0.1, 75, 111.\nAnswer: -2\/13, -0.1, 0.3, 75, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -271*-11.194\nAnswer: 3033.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -46?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.43 or -0.02768?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*x - 9, 99*x = 4*z + 97*x + 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5329889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046425097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32\/63 - -1\/126. What is the closest to -3 in -7, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1872) + (sqrt(1872) + 1 + 0 - sqrt(1872)) + sqrt(1872) - 4*(-1 + sqrt(1872))) + 1 + -1*sqrt(1872) + -4 + -3)**2.\nAnswer: 72*sqrt(13) + 16849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537386, 1074782, 1612178, 2149574, 2686970, 3224366?\nAnswer: 3761762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -666 + -632767?\nAnswer: -633655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 47 - 82)*(2*h + 0 + 0) as x*h + l and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1644, -6567, -14756, -26199, -40884, -58799?\n\"Answer: 2*j**3 - 1645*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2619 divide 1807932145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from aapxpuaamx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 8694 = -3*z. Let b = 1042 + z. What are the prime factors of b?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5))\/sqrt(9) + 0 + (sqrt(5) + -1 + sqrt(5) + -4 + 2*(sqrt(5) - sqrt(10)\/sqrt(2)))**2.\nAnswer: -19*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351, -1362, -4125, -9516, -18411, -31686?\nAnswer: -50217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 divided by 3?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(3 + 21\/(-6)). Suppose 147*w - 155*w + 2456 = q. Is w 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 21 and 238.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/12 - c**3\/6 - c**2. Let i be q(1). Let p(m) = 12*m - 647. Let k be p(54). What is the nearest to i in k, -7, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -75. Let y = -26 + o. Solve -2*c + 5*p + y = -0*c, 5*p = -c - 26 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 19. Let d be o(0). Suppose -3*u - 2*v + 14 = -2, -4*u + d = 5*v. Suppose 0*g + 12 = u*g. Solve -g*s - 3*w - 11 = -3*s, 5*w + 24 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 60 = -25*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*m - 26 - 197, -4*t + m + 329 = 0. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 4 + 4 + (h - 5*h + 3*h)*(2 + 0 - 9)*(-3 + 2 + 2).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-688167)\/(-81) + 1\/(-36)*-4.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x**2 + 21*x**3 - 37*x**3 + 73*x**2 + 17*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145.6 - -145.597271. Round u to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1190)\/(-357) + (-3563)\/1050?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*g**5 + 601326*g**4 + 8018028*g**3 + 39670398*g**2 + 86509215*g + 70255188 = 0. Calculate g.\nAnswer: -108\/25, -3, 8031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 79, -5, -10, 87, 0.\nAnswer: -10, -5, 0, 60, 79, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t - 7. Let y be s(-2). Solve -3*u = -4*x - 5*u - 12, y*x = -2*u - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*v - 2*v, 5 = -b - 2*v. Suppose -4*k - 2 = -b*p - 48, -1 = -k. Calculate the remainder when (-1)\/(-2)*(0 - p) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*i - 8*i - 4*i + 3*i in the form g + h*i and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + 3 + (20 - (-2 - -6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -697, -1099, -1511, -1915?\nAnswer: -2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 7*z**2 + 9*z + 9. Suppose 56 = -2006*i + 1999*i. Give h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14748\/12 - (-10)\/2?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9)\/(173\/519)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1239 + 1243. Let g(x) = 5*x**2 - x. Let t(i) = 4*i**2 - i - 1. Give h*t(z) - 3*g(z).\nAnswer: z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppvzptrv. Give prob of picking 1 t, 2 p, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/12)\/(12\/(-144)). Let l be (2 - 24\/s)\/((-4)\/174). Let g(u) = -52*u - 5. Let j be g(-4). What is the greatest common factor of l and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 143.8578 centimeters?\nAnswer: 1438.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 127.7.\nAnswer: -893.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 - 51577*g + 7125*g - g**2.\nAnswer: 4*g**2 - 44452*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {y: 3, j: 3, x: 2, f: 4, z: 1, r: 3}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69393 minus 9?\nAnswer: 69384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21076 greater than or equal to -21090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 283201652*r**2 - 242232243 with respect to r.\nAnswer: 566403304*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2380 and 308.\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gsg when three letters picked without replacement from gsgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2414 (base 12) to base 15\nAnswer: 12ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361107 less than -3560.241?\nAnswer: -3560.602107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*p**2 - 22*p**2 + 51*p - 49*p - 81*p**2.\nAnswer: -13*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.216 + 14.784. Which is the third biggest value? (a) l (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3837 (base 9) to base 5.\nAnswer: 42434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -52609 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 187.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/o**(2\/9)*(o*o**(-1\/6)*o*o*o)**(-22\/7))**(-41) assuming o is positive.\nAnswer: o**(3280\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 30, 2\/39, 62?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 3. Suppose -83 = -f - 82. Let h be (17 + -9)*(12\/8 - f). Which is smaller: x or h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/2*2\/3. Let b(v) = 3 + 0 - p - 5*v - v**2 + 10*v. Calculate b(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -511732.\nAnswer: -511729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042c (base 13) in base 9?\nAnswer: 44137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0076099841 to 4 dps.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*b**2*f**2*h + b**2*f*h + 992260*b**2*f - 28512*b*f**3 wrt f?\nAnswer: -128*b**2*h - 171072*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-15))\/(1\/(-280)). Let c be 1\/(0 - -1) + 1. Suppose 0 = a - 14 - c. What is the highest common divisor of v and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -12. Suppose -5*d - 5 = 2*g, 0*g = 4*g - d - z. Let x(o) = o + 10. Let m be x(-8). Solve -5 = t - m*f, -3*f - g = t - f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23098*f + 553 = 23177*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9*-1*(-1)\/1. Let f be (13\/((-26)\/16) - -7)*-3. Calculate the highest common divisor of x and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74793262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let m = 31 - 30. Let t be 44\/8 + -5 + m\/(-2). Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*y = 45528, -9*i + 5*i + 60642 = -5*y. What is the greatest common divisor of 64 and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 2*k - 91. What is the tens digit of ((-3771)\/12)\/((-1)\/(k\/(-3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3880139 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1271461.1932 rounded to the nearest 10000?\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3599, 15253, 34677, 61871, 96835, 139569?\n\"Answer: 3885*a**2 - a - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.68 + -9. Let o = 0.08 - l. Which is greater: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/(-48)*32\/(-3). Which is greater: m or 29\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131568 or -131563?\nAnswer: -131563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*d + 6*r - 14, 0 = 2*d - r - 14. Suppose 4*p - d*p + 20 = 0. Suppose c = 139 + p. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 684603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 839.8568t?\nAnswer: 839856800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.39 + -18.09. What is the second biggest value in 5, v, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -974*h + 3*h**2 + 504*h - h**2 - 248*h + 7 in the form v*h + m*h**2 + b and give v.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/108 + 582\/(-100)*(-55)\/1386\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 2*m - 1\/6*m**3 - 3\/2*m**2. Differentiate f(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odtppoomxpt. Give prob of sequence pd.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1585108.99 to the nearest 100.\nAnswer: 1585100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9296988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61\/(-244)*((-16)\/100*-5)\/((-8)\/1160)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 11:18 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -866, -1770, -2662, -3536, -4386?\n\"Answer: h**3 - 911*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -13 + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6486? (a) 181 (b) 4 (c) -4 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azp when three letters picked without replacement from {h: 5, a: 1, p: 3, l: 1, i: 2, z: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 - 1 + 182*c**4 - 194*c**4 - 2*c**2 - 2*c**3 as o*c**2 + x*c**3 + k*c + b*c**4 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o - 35. Let h(c) be the second derivative of -c**3\/6 - c. Let d(s) = -s. What is o*h(w) + 6*d(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 + -28. Let j be (-147)\/(-4) + (-18)\/g. Calculate the greatest common divisor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863323922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -149026, -149028, -149030, -149032, -149034?\n\"Answer: -2*z - 149024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - (-119)\/(-14))*-6. Let o(m) = -m**2 - 2 + m**3 + 3*m**2 - 4*m**2 + 5*m**2. Let x be o(-2). Solve -3*j - 1 = -2*w + t*w, 0 = -x*w + 5*j - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 17*k**2 + 17*k - 13. Let j be i(16). Let q(s) = 9 - 20 + 17 + 4*s. Is 3 a factor of q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122064 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:31 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1012)\/960 + 2\/(-15) and 77\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b794c2 - -5?\nAnswer: -8b794ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -23283.\nAnswer: -16\/23283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0417, -46, -456, 4 in ascending order.\nAnswer: -456, -46, -0.0417, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*m - 66*m + 133*m = 26 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:34 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -289 - -293 - ((-1 - 4) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1491*b**5 - 2536*b**2?\nAnswer: 89460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 4. Suppose f + 2*b = -f + 4, f + x*b + 4 = 0. Suppose f*y = 6*y - 49. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16729.9282 times 0.5?\nAnswer: -8364.9641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4131 = 5*m + 25*m + 51*m for m.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1029 - 40*l - 1029)*(12 - 3 - 6)*(-l - 3 + 3) + 0*l**2 - 9*l**2 + 13*l**2 to the form a + y*l + r*l**2 and give r.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*sqrt(18)\/sqrt(2))\/(sqrt(363)*1) + -5 + (3*sqrt(300)*3)**2.\nAnswer: -6*sqrt(3)\/11 + 24290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-610)\/75 + 8 - 219\/45. Let p be 290\/14 + 0 - (-2)\/7. Put p, -2, b in ascending order.\nAnswer: b, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 10*i**2 - 9*i + 12. Let m be f(-9). Solve z = -4*d - 0*z - m, -z = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 3, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.5 + 11.5. Which is the closest to -1? (a) -10 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -6.7 (c) 4 (d) 379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (196\/(-35) - -6)*-1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*(-128)\/192.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 312 = 3*q. Let t = 130 - q. Suppose 0 = -z - 28 + t. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 8, 408, -4, -5 in descending order.\nAnswer: 408, 8, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 10:25 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 1 (c) -667 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 371+-6.3\nAnswer: 364.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*(3 - 2*b - 3) + (-1 - 1 + 0)*(14 - 10 + 9)*(8*b**2 + 23*b**2 + b**2) + (0*b - 3*b + 0*b)*(-3 - 3*b + 3).\nAnswer: -821*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -15*i**3\/2 + 73*i**2\/2 + 113*i. Is g(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12)*c**(-3))**(-48)*(c\/(((c\/c**(-1))\/c)\/c))**31\/(c**(-2\/7))**(-5\/2) assuming c is positive.\nAnswer: c**(5252\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.37738s in microseconds?\nAnswer: 47377380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/33 and 0\/(-11) - (-219)\/909.\nAnswer: 3333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -748, -12, -1381.\nAnswer: -1381, -748, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 4662*n**2 + 152753*n - 144. Determine i(-33).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**4*c**2 + 13*a**3*c + 28*a**2 - 102*a*c**2 + 55*a + c**2 wrt a.\nAnswer: 36*a**2*c**2 + 78*a*c + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 5. Let k be z(-5). Suppose 0 = -k*q + 4*q - 56. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 38*o - 260. Determine v(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 57\/21 - 8\/(-28). Suppose u*i + 14 - 5 = 0, -i + 16 = a. What is the remainder when a is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**5\/20 + j**4\/3 - 2*j**3\/3 + j**2\/2 - 32*j + 36. Let s(n) be the first derivative of f(n). What is s(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 9*l = -5*z + 94, -23 = -z + 5*l. Let d(p) = p**2 + 3*p + 2. Let n be d(7). Calculate the greatest common divisor of n and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15043 and 9824?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1259*n**3 + 12*n + 739. Let m(r) = -2*r**3 + 2*r + 1. Let t(k) = 7*m(k) - p(k). Find the second derivative of t(v) wrt v.\nAnswer: 7470*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66247 is divided by 1185.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 100, 172, 258, 358, 472, 600?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3727031 divided by -499?\nAnswer: 7469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.7, 2\/27, -2, 3, 1, 1030 in decreasing order.\nAnswer: 1030, 3, 1, 2\/27, -2, -6.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1377) + (sqrt(272)*-3 - sqrt(17)).\nAnswer: 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - 2.4. Let l = 2.3 - 1.9. Let v = 6 + -7. Which is the nearest to v? (a) l (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 j when four letters picked without replacement from {a: 5, j: 15}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -2, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 18\/15 + ((-10728)\/60)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15850 - -15?\nAnswer: -15834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143 + 3?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of s**4\/4 + s**3\/6 - s**2 - 1. Let q(j) be the second derivative of d(j). What are the prime factors of q(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57256 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 31*j**2 - 134*j + 14. What is m(-19)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-4) - (12 + -14)\/(-3 - -5). Let t(w) = 8*w - 60. What is t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, 12, 19, 28, 39, 52, 67?\n\"Answer: q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38811408 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.16 - -0.16. Let g = -10.9 - -11. Sort g, p, -4 in ascending order.\nAnswer: -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 13*v**3 + 13*v**3 + 5*v**4 + 2*v**2 to the form c*v + m*v**2 + b*v**3 + u*v**4 + o and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1981*w. Let z(a) = 4*a**2. Give z(f(p)).\nAnswer: 15697444*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925037.6 decades to months.\nAnswer: 111004512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-6)*(-52)\/15*105\/(-84).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 9. Let y be (-32)\/112 + (-3)\/((-63)\/48). Suppose -q*a - y*u + 25 = -12, -2*u = a - 11. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) -8 (c) 62 (d) 6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1. Let y(p) = 4*p - 9. Let x(b) = -2*j(b) + y(b). Let v be x(13). What is the greatest common divisor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.6, -0.1, -11, -6\/17 in increasing order.\nAnswer: -11, -1, -0.6, -6\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 2. Let x(q) be the second derivative of -q**4\/12 + 5*q**3\/6 - q**2 + q. Let z(s) be the first derivative of x(s). What is -7*h(w) - 3*z(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*s + 9*s = 0. Let i be 3 + -1 - (5 - 0). Let d = i - -5. Solve s = 7*f - d*f + 3*b - 10, -5 = -b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*o + (1 + 2 - 4)*(-8 + 8 - 5*o) - 1 + 1 + o + 6 + o - 6 - 1 + 1 + 2*o + (-2 + 3 - 4)*(-o + 1 - 1) + 0*o - 4*o + 2*o + 1 - 3*o - 1.\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*q - 458 + 466 = 0, -q - 3 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 149376700027+-0.5\nAnswer: 149376700026.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1570)\/110 + 10?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3 - -141)*-1. Let x = 2 - p. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301895*y = -304629*y + 251528 for y.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 8287135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*v - x + 8, x + 5 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = 2*m. Suppose 6*k - m*k = -2*c, -k + 4*c - 9 = 0. What is the third biggest value in 0, k, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:28 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58079 - 58080.29882. Let t = k - -1.3. Round t to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190143*d*p**3 + 6*d*p + 2812*d - 2*p**5 + p - 1 wrt p.\nAnswer: 1140858*d*p - 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**3 - 3*t + 4. Let q(i) = 11*i**3 - 7*i + 9. Let x(u) = -9*j(u) + 4*q(u). Find the second derivative of x(f) wrt f.\nAnswer: -60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -29.78. Let h = u - -0.06. Let r = 7.72 + h. What is the third biggest value in -0.1, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17576 and 1833.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2180920 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 1:41 AM?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*q - 251*q - 57 = 0. Calculate the remainder when 32 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/48 - -5)\/((-2)\/(-8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + f + f = 0, 0 = 4*z + 2*f - 4. Suppose z*l - r = 35, -5*l = 5*r - 36 - 14. Let t be l\/(-8) - (-16 + 13). Are 2 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/60 + 5*f**4\/12 + 31*f**3\/6 + 22*f**2. Let y be c(-6). Solve 2*g = 6*s - s - y, 3*g - 27 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(12)\/sqrt(4))**2 - sqrt(3)) + sqrt(3) + 0 + 5 + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7311.08t in kilograms?\nAnswer: 7311080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 12:15 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5 = 5. Suppose 4*m = 3*t - 589 + 72, -t + v*m + 175 = 0. Let q = -831\/5 + t. Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/120 + c**5\/15 - c**4\/8 - c**3 - 4*c**2. What is the units digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n**2. Let s(b) be the first derivative of 6*b**3 + 102. Give g(s(r)).\nAnswer: 1296*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -6*o - 391. Let n = o - -90. Let m be 2\/8 + (-38)\/(-8). Sort n, m, 4 in decreasing order.\nAnswer: m, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/12 - k**2. Let q(h) = 3*h. Let l(s) = 0*s - 3*s - 3*s + 5*s. Let c(b) = -5*l(b) - 2*q(b). Calculate x(c(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 19 = -37 - 60 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txxx when four letters picked without replacement from zfzfzxtftxxtxtz.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047767537 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**17)**(7\/10) assuming n is positive.\nAnswer: n**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/(38\/152).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41891*p - 102*p**5 - 667*p**5 - 41652*p wrt p.\nAnswer: -15380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 35.6 (b) -0.01 (c) 0.246\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00260795873 rounded to 6 dps?\nAnswer: 0.002608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1334 + 262 = -2*s. Suppose -s = 9*v - 3263. What is the units digit of v*(-4 - -2)\/(2 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -154 (c) 4\/7 (d) 3 (e) -0.36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753381678?\nAnswer: 2, 3, 7, 3181, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -325031120 - -11?\nAnswer: -325031106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528541445?\nAnswer: 5, 505708289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7)*j)**(-47)*j*j**26*j**(3\/10))**(-9) assuming j is positive.\nAnswer: j**(16641\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.240293 (b) 8\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -722, -698, -660, -608, -542, -462?\n\"Answer: 7*l**2 + 3*l - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 14. Solve -2*v + 9 = -5*v - o, m*v + 9 = -4*o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003336.\nAnswer: 2, 167, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 39 (b) -616.7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166544.\nAnswer: 2, 7, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 819.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3116452 + 121?\nAnswer: -3116331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78.2829 + 82.543. What is o rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 14*y - 15 as g*y + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**4 - 90*c**3 + 165*c**2 - 86*c - 18. Let s(z) = -10*z**4 - 990*z**3 + 1815*z**2 - 945*z - 195. Let p(l) = -6*s(l) + 65*v(l). Factor p(j).\nAnswer: -5*j*(j - 16)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 3)*(7*q**2 - 3*q**2 - 2*q**2) + (-16*q + 4*q - 193 + 11*q)*(0*q + 0*q + q))*(-2*q + 2 - 2).\nAnswer: 10*q**3 + 386*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/40 and 49\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 33*l + 20. Let d be p(0). Let x(t) = t + 6. Let g be x(-6). Let r(c) = c. Let s be r(g). Put s, -5, d in decreasing order.\nAnswer: d, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f\/((f\/(f*f**22))\/f)))\/f)\/f**(2\/5) assuming f is positive.\nAnswer: f**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -7*i**3 + 6*i**2 - i + 3. Let d(k) = -3*k**3 + 3*k**2 - k + 2. Let p(w) = 5*d(w) - 2*j(w). Let n(g) = g**2 + 2*g. Let s be n(-3). What is p(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001786294 rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvqqvddzdq. What is prob of sequence wvzq?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*y + 10*y + 9 + 0*y as i*y + c and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 1. Let j(m) = 2*m**3 - m. Let x be 1*-4*8\/(-32). Let h(s) = -s. Give c*j(b) + x*h(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 4. Let u be (1 + (-3)\/i)*2. Factor y + 0*y + 5*y**2 - y**4 - y**u - 4*y**2.\nAnswer: -y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = -5*s + 34, 0 = -4*s + 5*k + 60. Let a = -93 - -95. Suppose -a = 6*o - 2. Solve -2*j + s = -o for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 - 8\/((-16)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + x - 2. Let b(g) = -146 - 4*g + 67 - g**2 + 80. Let h(f) = 2*b(f) + i(f). Suppose 0*c + 23 = -5*c - 2*n, -5*c = n + 24. Give h(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5 from 13.8.\nAnswer: 11.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387.89688711 - -15.89685661. Let c = 372 + n. What is c rounded to six dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3449132 is divided by 50722?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -31288347, -5 in increasing order.\nAnswer: -31288347, -5, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 - (2 - 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 38*p**2 + 25*p + 49. What are the prime factors of q(15)?\nAnswer: 2, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five fourteenths of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26 - -6*(-8)\/(-12). Let s = -3 + g. What is the greatest common divisor of 18 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*c**2*k**3 + c**2*k + c*k**3 + 3*c*k + 164*k**3 + 17861 wrt k.\nAnswer: 1068*c**2*k + 6*c*k + 984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 12*z + 18. Give u(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1.5749\nAnswer: 4.7247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 292432081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -8*o**6\/15 - o**5\/20 - o**4\/6 + 49*o**3\/6 + 35*o. What is the third derivative of l(r) wrt r?\nAnswer: -384*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -9*u + 48. Solve t + u = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/24 + v**5\/4 - 5*v**4\/24 - 5*v**3\/2 - v**2 + 663*v. Factor a(h).\nAnswer: 5*(h - 1)*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Let t = -456 - -479. Suppose t = -7*j + 2. Sort 0, v, 5, j in ascending order.\nAnswer: j, 0, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1690\/4 + 1\/(-1). Let q = -408 + r. Let m = -45659\/12834 - -3\/1426. What is the common denominator of m and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24009947*f**4 + 5*f**3 - 2*f**2 + 58885872*f - 5?\nAnswer: -576238728*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10043*x + 16 = -10009*x - 4*c, 0 = -2*x + 4*c + c + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/64 of a milligram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*q**3 - 23824*q**2 - 3938900*q + 876488 = 0. Calculate q.\nAnswer: -331, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f = -55*f - 54. Calculate the smallest common multiple of f and 268.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12608, -25075, -37280, -49091, -60376?\nAnswer: -71003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -89997\/784 less than or equal to -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -192*y - 1435. Determine w(-9).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from kzvtvz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.13 + -18.93. Suppose 0 = 3*s - 3. Which is the closest to s? (a) q (b) 4 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3 - y - 6*y + 3*y. Let m = -344 + 350. Let q(k) = -m*k - 9 - 9 + 22. Calculate -7*j(r) + 5*q(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r + 6 + r**2 + 112\/3*r**3. Is p(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(162)*2 + 4))**2 + (-1*(2*sqrt(162) - sqrt(162))**2 - (sqrt(162)*-1)**2*-2) + 2.\nAnswer: 1836*sqrt(2) + 6285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 9*w + 8. Let x be z(8). Suppose x = -3*b - 9, 5*b - 21 = 5*p - 76. Let k = -28 + 58. Calculate the remainder when k is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*n + 2 - 18, 3*n = -7*p + 28 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 366323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.3851355 rounded to two decimal places?\nAnswer: 144.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 (base 13) in base 11?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180783793?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-2) + (-30)\/(-4))*191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 126*w + 2383. Calculate l(104).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2009310253.16 and -0.4.\nAnswer: -2009310253.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997, -1709, -2421?\nAnswer: -3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + v - 4. Suppose -19*w = -6*w - 9*w. Let g(n) be the second derivative of 13\/2*n**2 - 2\/3*n**3 - 2*n + w + 1\/3*n**4. What is -2*g(o) - 7*z(o)?\nAnswer: -o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 5*v**2 + v + 209. What is a(0)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 220442672 less than -296?\nAnswer: -220442968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**3 - 55*n**2 + 120*n + 180 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2*f**2 + 1)*(1 + 0 + 1) + 6*f - 8*f**2 - 6*f)*(3*f**2 - 3*f**2 - 3*f**2) to the form k*f + w + z*f**4 + y*f**2 + r*f**3 and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 6:15 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-10)\/j**(-9))**(-2\/117))**(1\/4) assuming j is positive.\nAnswer: j**(1\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/1154 - -57691\/3462. Let y = -33 + -1. Let u = y + 197\/7. What is the common denominator of v and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by 6.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -240 - -221. Let u be i\/(-18) + (-65)\/(-390). Let h(l) = -l - 4. Let d be h(-4). Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55\/1838 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000802767 to 5 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4447, -4367, -4289, -4213, -4139, -4067?\n\"Answer: -r**2 + 83*r - 4529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1343 by -6.\nAnswer: 1343\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.508 - 0.02.\nAnswer: -0.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 19*k**2 + 0*k**2 - 14*k**2 - 2581 + 2582 - k**3 in the form g*k + s + j*k**2 + p*k**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12 and -241.6.\nAnswer: -241.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + a - 2. Let u be y(2). What is the units digit of u - (12\/3 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1. Let g(t) = -30*t - 21. Let o(k) = -g(k) + 6*m(k). Let c be o(3). Let b = -61 + c. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 2, 3, 6, -27.\nAnswer: -27, 0, 2, 3, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 29. Let q(c) = 5*c - 24. Calculate -4*h(n) + 5*q(n).\nAnswer: 9*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393797.\nAnswer: 3, 79, 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o = 78*o - 1340 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 405.19 + -3.19. Let x = s + -399.54. What is x rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 607 divide 3938823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/2 + 0 + 3. Suppose d = -o + u, 2*o + 15 = 3*o + 3*d. Calculate the remainder when 69 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + f. Let g be b(2). Calculate the highest common factor of g and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 259, 1544, 4661, 10408, 19583, 32984, 51409, 75656?\n\"Answer: 133*x**3 + 118*x**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40*(-7 + (-43)\/(-4)). Suppose -9*v - k = 6*v. Which is smaller: -16 or v?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*s**2 + 24 + 34\/5*s = 0. What is s?\nAnswer: -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6505082 divided by -2\nAnswer: 3252541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17437 is divided by 459?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(3\/12)\/((-2)\/8). Let p(l) = -l**2 + 7*l + 5. Let z be p(7). Let t(b) = 4*b. Let k be t(1). Solve z*q - k*q = -v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 190.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 4, l: 15}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932542 divided by 1157.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -34458 divided by 5?\nAnswer: -34458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12 + 1 - (5 - -3 - 4). Solve 3*o + h - 12 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.169 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Let g = 369001 - 368998. Sort 4.2, i, g in descending order.\nAnswer: i, 4.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331.7*696.88\nAnswer: -231155.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p + 5. Let m(u) = u. Give h(f) - 25*m(f).\nAnswer: -35*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p - 4. Suppose 0 = -5*n - c + 59, -n + 4*c = 6*c - 19. Let d = 14 - n. Let m be k(d). Is 0 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -90*a**2 - 7. Let x(m) = 3692*m. What is o(x(d))?\nAnswer: -1226777760*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0 + 1\/180*l**5 - 1\/9*l**3 + 0*l + 5*l**2 + 1\/72*l**4. Determine w, given that q(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 23790327?\nAnswer: -4\/23790327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, -1\/9, 2\/17, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 611 - 610.751. Let z = b + -1.419. Round z to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/24)\/(140\/(-16)). Put 46, 3, -0.7, b in ascending order.\nAnswer: -0.7, b, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1416 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77*(-1080)\/(-1309770)*(42\/20)\/(-3)?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Suppose 1 = 4*t - 7. Suppose -21 = -4*g - s, t*g = -s + 11 - 0. Suppose -4*b + 11 = -g*o, -4*o - 6 - 4 = -2*b. Calculate p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 4*h + h)*(-4 + 15 + 12)*(1 + 0 - 2).\nAnswer: 46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 1:00 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13903360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 74495283377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.6, 0, 17.2948, 2, 0.1 in decreasing order.\nAnswer: 17.2948, 2, 1.6, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 5*h + 8*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b*p**4*q + b*p**2*q + 64*p**3*q + 45*p**2*q + 2*p*q + 6*q wrt p.\nAnswer: 120*b*p*q + 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*-2*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42.2 - 0.2. Let o = -5 + z. Let t = o - 36.9943. What is t rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 - 5 = 0. Let p = -1 - q. Suppose 2*b**p - b**3 + b**4 - 3*b**4 - b**4 = 0. Calculate b.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -44*u**2 + 9*u - 9. Let a(i) = 11*i**2 - 2*i + 2. Determine -9*a(r) - 2*d(r).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50402 is divided by 2400.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**1)*u**(-2)*(u\/(((u*u*((u**(3\/5)*u)\/u)\/u*u)\/u)\/u))\/u**(1\/4) assuming u is positive.\nAnswer: u**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6872000.\nAnswer: 2, 5, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4576 - -4394. Is n less than -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-84)\/(-8))*3.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3 - 138486*d**2 + 276964*d = 0?\nAnswer: 0, 2, 69241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -662*o + 1352*o + 1440*o + 3 - 3.\nAnswer: 2130*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3826, 3695, 3564, 3433?\n\"Answer: -131*m + 3957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15488 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7974794 litres to millilitres.\nAnswer: 797.4794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.585 - 19.585. Which is the closest to j? (a) -2\/3 (b) 2 (c) -0.04 (d) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-18)\/(-378))\/((-60)\/9).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466400538 to the power of 1\/2, to the nearest integer?\nAnswer: 21596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 2, g: 4}. What is prob of sequence gyn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2411, -2412, -2413, -2414, -2415, -2416?\n\"Answer: -f - 2410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 8 + i - 7)*(-i**3 + 2*i**3 - 2*i**3).\nAnswer: -i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5 + 2*d**3 - 6*d)*(0*d + 2*d - d).\nAnswer: 2*d**4 - 6*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2319 (base 12) to base 5\nAnswer: -111114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 - 36. Let s be (14\/21)\/((-2)\/(-1257)). Let n = s + k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/3*(-10)\/12*9\/(-900)*-10.\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (7 - 19) - 20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 7:32 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l - 42. Suppose 3*i + 40 = -5*d - 26, -5*d - 5*i = 70. Is m(d) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 11. Let n = 4 + -1. Let x = -2.9 + n. Which is the nearest to 1\/4? (a) y (b) x (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13917, 55547, 124939, 222093?\n\"Answer: 13881*w**2 - 13*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*w = 246 + 275, 2*t = 3*w + 263. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 44*d**4 - 4*d**3 - 40*d**2 + 24*d + 24. Let m(l) = -9*l**4 + l**3 + 8*l**2 - 5*l - 5. Let v(h) = 24*m(h) + 5*t(h). Factor v(w).\nAnswer: 4*w**2*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*w + 0 - 1\/5*w**4 + 1\/5*w**3 + 4\/5*w**2.\nAnswer: -w*(w - 2)*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 16\/385 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -0*l + 22. Suppose 86 = -0*b + 4*b - 2*r, -5*r = 5. Suppose -5*x + x = 2*f - 12, x = -5*f + b. What is the smallest common multiple of f and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 8 + 4. Suppose a + 0*a = 2*w - j, 0 = -a - 2. Suppose -w*x + 42 - 2 = 0. Calculate the remainder when 15 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-3)*z**(-1\/4)*((z*z\/(z\/z**(-1\/5)))\/z)**(-1\/41) assuming z is positive.\nAnswer: z**(-1841\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16*42\/60*(-1705)\/(-434)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0244039 rounded to 3 decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 302969573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -624 - a07?\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2 - 98*a + 660 = 0. Calculate a.\nAnswer: -55, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 + c**4 + 0*c**4 + 2*c**4 + 0*c**4 - 3*c**4 + (3 - 5 + 4)*(2*c**2 + 2*c**4 - 2*c**2) - 2*c**4 + 7*c**4 - 13*c**4 - 2*c**3.\nAnswer: -3*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22299264 and 1728.\nAnswer: 66897792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -18*s**2 + 2*s - 16. Let d be h(3). Let u = -111 - d. Which is smaller: u or 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635 a factor of 202308480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/19)*z)\/(z**(-11\/4)*z))\/(z*z**(5\/2)*z)**(1\/8) assuming z is positive.\nAnswer: z**(985\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399756 is divided by 19033.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 17, -7, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341898 less than 0.7808?\nAnswer: -341897.2192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2. Suppose 3*n + 2*n = 25. Let i be w(n). Suppose -5*f = 3*j - 10, -5*j + i*j + 3*f - 6 = 0. Solve 0*h - 2*h + 2 = j for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (1 + (0 - (2 + 7 - 5))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -71*(-66)\/4686*22\/((-6)\/9*-3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6401010 to the nearest 10000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8169 divided by 1167.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 202862*h - 6. Calculate j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 9) in base 13?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6312455 to the power of 1\/2, to the nearest integer?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -4*i - 5, i + 4*o = -3 - 1. Suppose -b + 15 = 2*t, 2*b - 18*t + 16*t = 6. Suppose b*d + 5*d - 1584 = i. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220001121112 (base 3) to base 12.\nAnswer: 405728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 877793849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c - 10174 = -10202. Put 3, 53, -1, 4, c in decreasing order.\nAnswer: 53, 4, 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**6\/120 - x**5\/4 - 37*x**4\/24 - 3*x**3 - x**2 - 63. Let o be b(-12). Let m(d) = -3*d - 19. Give m(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + (5 - (59 + 32 + -20 + -24))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 279, 1 in ascending order.\nAnswer: -0.4, 1, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43791761, -87583527, -131375293?\n\"Answer: -43791766*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 12*m - 17 = -7*m, 2*b - 5*m - 33 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*z**3 - 9*z**2 + 1197 wrt z.\nAnswer: 99*z**2 - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Suppose -3 = -n + 3*k, 0 = -n + j*n - 4*k - 8. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -298, -287, -262, -223?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((64\/12)\/(-8))\/((-1)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuguuuuuuuu. Give prob of picking 4 u.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25530333011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t - 4. Suppose 4*r - 20 = -r. Calculate the smallest common multiple of 2*(3 + -3 - t) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.33 - 3.33. Let l = 24 - 20. Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)*q*q\/(q\/(q\/(q*q\/q**(-1\/12))))*q)**(3\/2) assuming q is positive.\nAnswer: q**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -38. Suppose 3*i = -x - 0*i + 20, f = 4*i. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1242148 - -3?\nAnswer: 124214b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20475 + 20474.99. Let p = -0.2 - 0.1. Which is the nearest to -2? (a) -0.5 (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(85) + (sqrt(85) + sqrt(85)*-1)*1 - sqrt(85))*-3)\/(-1*2*sqrt(605) - -4*(sqrt(605) + sqrt(605)*-1 - sqrt(605))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23\/30, -1\/3, -15 in ascending order.\nAnswer: -15, -1\/3, 23\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.171 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-122)\/10 - 7\/(-35). Let c be 10\/(-4)*v\/10. Solve 20 = -5*w, -c*i - 3*w + 8 = -8*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 185*k**3 + 742*k**2 + 748*k + 8.\nAnswer: (k + 2)**2*(185*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194 is divided by 171?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 32873876.2 to the nearest 1000.\nAnswer: 32874000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3341101 - 34332?\nAnswer: -3430433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3815 divided by 298?\nAnswer: 3815\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 11, l: 7}. What is prob of picking 3 d?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5157*r + 132 = 5201*r. Let c(v) be the second derivative of 0*v**2 - 5\/6*v**r + 0 - 39*v. Let g(k) = -3*k**2. Give c(g(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y**2 - 7*y + 10. Suppose -90*u - 890 = 88*u. Give f(u).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 31. Solve -9*g + r + 33 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 = -9*j + 375 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-5) - (-4)\/(-10) - (-8386 + 8332)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 7*g + 30.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -n - n + 94, u - 3*n + 24 = 0. Let t = -9 - u. Let p = 28 + -28. Solve m - 4*m + t = p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85300113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 420, 2251, 5342, 9693?\n\"Answer: 630*i**2 - 59*i - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 318\/(-21) + 39\/175.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/15*3*5\/(-10))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4 = 0, 3*w = -5*h + 94 - 86. Let z be (-1)\/(-4) + 10\/(-24). Let g = -1 + -4. Which is the nearest to 0.2? (a) z (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -44. Let l(q) = -2*q - 3. Suppose -4*g - 15 = 1. Let b be l(g). What is the highest common divisor of p and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z - 60*z - 60*z - 10 + 31*z - 7*z in the form a + q*z and give q.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 755053139 to the power of 1\/3, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 50*o - 3. Let y(g) = -g. Calculate y(z(b)).\nAnswer: -2*b**2 + 50*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 236*h**2 + 6*h - 346. Let u(s) = 236*s**2 + 5*s - 346. Let o(r) = -5*b(r) + 6*u(r). What is the first derivative of o(g) wrt g?\nAnswer: 472*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**2 + 7*o**2 - 2*o**3 - o + o + 8. Let d(j) = -j**3 + 5*j**2 + 3. Let l(s) = 3*a(s) - 8*d(s). Let r = -6 + 4. Give l(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 8*t + 7. Suppose 0 = -14*z + 10*z + 4. Let h be (-40)\/(-15)*(-9)\/z. Let i be 2\/6 - 4\/(h\/(-50)). What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**4\/2 + 2*h**3\/3 - h**2 + h + 1. Let i = -6 + 10. Calculate the remainder when i is divided by y(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddqdddqd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 15134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.16 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. Let v(g) = -388*g + 932*g + 2236*g. Let i be v(m). 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: Calculate prob of sequence aaa when three letters picked without replacement from {a: 6, w: 12}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151\/553 + 1\/79. Let g(o) be the second derivative of 0 - 1\/21*o**3 + 1\/70*o**5 - v*o**2 + o + 1\/21*o**4. Suppose g(w) = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2 + 7*v + 1. Let m(q) = -9*q**2 + 6*q + 1. What is -5*j(k) + 4*m(k)?\nAnswer: 4*k**2 - 11*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -73*a**3 - a**2 - 7*a - 11. Let x be 1 - 4 - -6 - 5. Let k be r(x). Calculate the highest common divisor of k and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -9, -12, -15, -18?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 25 = 4*v, -2*g - 10 = 6*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l. Let k(w) = -3*w**3 + w**2 + 3*w + 2. Let r = -1 + 5. Let o(x) = r*y(x) - k(x). Let q be o(-2). Let z(b) = -b + 6. Determine z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 107*z**2 + 226*z - 300. Let h be l(-105). Round h to the nearest one thousand.\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -42*k**3 - 2*k**2 - 5*k - 4. Let b(g) = 82*g**3 + 4*g**2 + 11*g + 9. What is 4*b(q) + 9*w(q)?\nAnswer: -50*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8427*j**4 - 14917380*j**3 - 6603051450*j**2 - 1245460500*j - 58741875 = 0. What is j?\nAnswer: -885, -5\/53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111753 is divided by 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 10. Let v be r(-6). Suppose -v*p + 9*p = 335. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*q - 5*n, -3*q - n - 20 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i. Suppose 2*f = 7 - 3. Let v(a) = -a + 6*a + 0*a - f*a. Give v(p(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 2*g - 12, -3*p + 807*g = 810*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 7*k - 1246 = 0. Let w = k - 87. Let s = -63 + w. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*a\/a**(-2\/5)*a)\/(a**5*a\/(a*a*a**15)) assuming a is positive.\nAnswer: a**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-1.5423\nAnswer: -1.8423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/5 (b) -9 (c) -39 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 32809900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12\/(y*y\/(y\/((y*y**(-2\/37))\/y*y)*y))*(y*y**(1\/11))\/(y\/(y**1\/y*y)) assuming y is positive.\nAnswer: y**(4943\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 69*j**3 + 3*j**2 - j - 1. Let r be c(1). Suppose -5*g + r = 25. What is the greatest common factor of 3 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (-38 - -37) - -9 - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1344 and 6164.\nAnswer: 2071104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 15.4067?\nAnswer: -92.4402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3299.95686 to 1 dp.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000068196 rounded to six decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 4:08 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-96)\/(-63))\/4)\/((-592)\/(-444))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -2, 31\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p - 85. Determine l(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -63*591673\nAnswer: -37275399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 + a**2 - a. Let o be w(2). Let y = -19 + o. Suppose 5*n + 5 = 2*l - y, -3*n + 50 = 5*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 7*i. Let w be n(-6). Let a be (-9)\/24*4\/w. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 74, -3, 1, 9 in ascending order.\nAnswer: -4, -3, 1, 9, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-124)\/8)\/((-2)\/(-8)). Let g = j + 112. Suppose 2*d + h + 4*h = g, 62 = 2*d + 2*h. What is the highest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -825*t**2 - 694*t**2 + 1746*t**2 + (-t + 3 - 3)*(-2*t - 3 + 3).\nAnswer: 229*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Find a, given that 4*a**2 - a**2 + 2*a**4 - 6*a**i + a**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/60 - 9*h**2\/2 - 63*h. Let g(n) be the first derivative of y(n). Let l(k) = -115*k. Give l(g(p)).\nAnswer: 115*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gege when four letters picked without replacement from geege?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 4, 0.041, 0.2, 8\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + -55?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1)\/(2\/(-4)). Let h(z) be the first derivative of z**2 - 3*z + 6. What is h(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/22 - (-606)\/66. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 + 5*o + 4. Let m be k(-4). Suppose 0 = -2*v - 26 + m. Solve 5*t + v*l = 20, 0*t - 2*l = -2*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1279332 - 3838072 + 1279366 + 1279374 + 4*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from {a: 1, s: 17, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*j - 700*c**2 - 30*c + j - 41 wrt c.\nAnswer: -2*j - 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 4159.3, 10, 294?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 4 - 5)*(-6*f**2 + 4*f**2 + 0*f**2) + (-f + 94 - 94)*(f - 2 + 2))*(1 + 0 - 3).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 + 536 + 2974 = 32*b. Solve 7*z = -b + 119 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*k = o + 14, 4*k = 3*o. Suppose -o*v = -8*v + 56. What is the highest common divisor of v and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/6)*q*q)\/q)\/(q*q*q**33*q*q*q))\/(q**(1\/6))**(-8\/9) assuming q is positive.\nAnswer: q**(-1999\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24668 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 596*t**4 - 1 - 1193*t**4 - 460*t + 599*t**4 in the form u*t**4 + b + c*t + x*t**2 + q*t**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 99.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/15)\/(20\/60)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 1 - 3 + y - 3.\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-27 - -12) + 9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2184326 and 32.\nAnswer: 34949216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3 + 742850*c**2 - 2228585*c + 1485730 = 0.\nAnswer: -148573, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 622054 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 22850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-3)\/((-12)\/(-8)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -540.3373 rounded to 0 dps?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13271, -26535, -39789, -53027, -66243, -79431, -92585, -105699?\nAnswer: -118767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6 - 2*p + 35*p**2 - 2 + 6. Let t = 7 - -5. What is the remainder when g(-1) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 3, 25, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 531*f**3 + 198 + 8*f**4 + 1215*f**2 - 23*f**4 - 43*f**4 + 73*f**4 + 897*f = 0.\nAnswer: -33, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2351320 is divided by 587827?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624383?\nAnswer: 293, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 409 = -1291. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 + 174. Solve 2*l + 59 - m = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-j**2 + 4*j**2 - 4*j**2) + 2*j**2 - 5*j**2 - j**2 + 4 - 4 + 2*j**2 - 2*j**2 + 2*j**2 + 3*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:28 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85 + -70. Suppose 23 = 19*b - i. Solve -5*n = 4*l - 9*l, 5*l = -b*n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, j: 2, t: 5, s: 1, r: 1, f: 1}. What is prob of sequence fr?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/10))**(-3\/10)\/(a\/a**(-10\/7)*a*a*a**(-2\/9)) assuming a is positive.\nAnswer: a**(-26689\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -48\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 + 4\/13398*2263. Let y = i + -6\/77. Put y, 0.4, -1 in decreasing order.\nAnswer: 0.4, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 12 + 12 = 0. Suppose g = 10*r - 1839 + 129. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1243 = -3*d - 5*s, 0*s + s = -5*d + 2035. Suppose -6*h - h = -d. Let x = 56 - h. Which is smaller: x or -10\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 + -360. Let r(n) = -n**2 + 12*n + 13. Is 7 a factor of r(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 - 5*w + 3. Let h be l(-4). What is the tens digit of (-240)\/h - (-4)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 46 + 32 = 0. Suppose 2*v - 5*v + t = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1101011101111111010011010?\nAnswer: 1101011101111111010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, f: 4}. Give prob of picking 2 r.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*v**4 + 87*v**2 - 1 - 41*v**3 - 90*v**2 - 59*v**4 - 70*v**4 + 22*v to m*v**4 + h*v + p*v**3 + g*v**2 + u and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -1, -4, -13, 18 in ascending order.\nAnswer: -13, -6, -4, -1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzyyzpzyzyzzwyvpy. Give prob of sequence wp.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48055986 and 326.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -6. Let j = x - 3.1. Which is the biggest value? (a) 0.4 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + t**3 + 0*t**3 - 6*t**2 - 4*t**4 - 3*t**3 as z*t**2 + d*t**4 + n*t + v*t**3 + a and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1690 = 4*p + v, 104 - 1802 = -4*p - 5*v. Calculate the remainder when p is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 + 776*d + 2. Let a be m(-97). Sort -4, a, -452.\nAnswer: -452, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 567aa6 (base 13) to base 8\nAnswer: 7632154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 14*m**2 - 15*m + 21. What is the units digit of u(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 5*g**2 - 10*g - 45. Let i be b(-5). Find the second derivative of 9*v**5 - 35*v**i - 8*v - 13*v**5 - 186*v + 0*v**5 wrt v.\nAnswer: -780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 7*f + 14. Let g = -3 + 8. Let t be j(g). Suppose 5*c = 5*s + 35 + 5, 0 = 2*c + 3*s + 9. Solve c*x = t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.79701 meters to centimeters.\nAnswer: 1979.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7525\/16 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 3\/3*(-95)\/(-10))*1540\/231?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35169*k**3 + 7*k**2 - 7*k**2 + 66980*k**3 - 31803*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:41 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 18*i - 7. Let o be n(-19). Let t(g) = 4*g + g - o*g. Let z(c) = c**2. Calculate z(t(k)).\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/13)\/n*n*n\/n**(1\/6)*n)**(-6)\/((n**(-2\/5)*n**(2\/13))\/(n**(4\/7)*((n**(1\/8)\/n)\/n)\/n)) assuming n is positive.\nAnswer: n**(-49209\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1917, -3874, -5847, -7842, -9865, -11922, -14019, -16162?\nAnswer: -18357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -27.8. Which is greater: w or -420?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*w**4 + 2 + 13*w**4 - 27*w**2 - 38*w**2 to the form b*w + z + n*w**2 + r*w**4 + v*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/18 + (1 - (-1115)\/45). Suppose 4*f - 24 = -0*f. Solve u - f = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/548, -11, 1\/1047 in descending order.\nAnswer: 1\/1047, -1\/548, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -827, -833, -843, -857?\n\"Answer: -2*x**2 - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 558*h - 328*h + 777*h + 247*h in the form v + s*h and give s.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-2) - (-2 + -8). Suppose 4*o + 4*d = 5*o - v, 2*o = -2*d + 68. Suppose -2*w + 58 + 8 = 0. Calculate the lowest common multiple of o and w.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/350)\/((-6)\/(-5)). Let v = k + 7\/40. Which is the third smallest value? (a) 1\/4 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -22*g + 14 + 206 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -276 - -732. Let r = 1877\/4 - f. What is the common denominator of r and -69\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3510)\/(-35) - 2\/7. Let p = 443 + i. Suppose p = 5*l - 2*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 8 = 6*a + 272 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28 - (2\/(-2) - 1). Let w be 6\/9 + z\/9. Suppose 59 - 595 = -w*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.002 + 3.598. Let r = 8.6 - h. Which is the nearest to 11? (a) r (b) -0.4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2. Let d(p) be the third derivative of -p**5\/60 + 5*p**3\/6 + p**2. Let j(c) be the first derivative of d(c). What is j(x(b))?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 999.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3301*v**2 - 2*v + 2*v.\nAnswer: -3301*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011011001111 + 100010010?\nAnswer: -110010110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -332, -1355, -3060, -5447, -8516, -12267?\n\"Answer: -341*x**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439263 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: What is 33.706 nanograms in milligrams?\nAnswer: 0.000033706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185777 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/132)\/((-116)\/6). Let o = z + -950\/2233. Let b = 1 + -1. What is the closest to b in 3, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -796678, -1593204, -2389722, -3186232, -3982734?\n\"Answer: 4*h**2 - 796538*h - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 10*z**2 - 40483*z - 40482. Give u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-20)\/(-15)). Let i(q) = 30*q**2 - 4. Let r be i(-2). Let j be 4 - r\/(-84)*-3. Which is the second biggest value? (a) 3 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2448 and 155601.\nAnswer: 2489616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -28*w. Let v(m) = -21*m. Determine j(v(s)).\nAnswer: 588*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252437 - 2504870 + 1252433 - 573*x.\nAnswer: -573*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqttt. What is prob of picking 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = -2*h, 7*h = 3*b + 2*h - 8. Let a(q) = -q**3 + q**2 - q + 1. Let m(u) = -3*u**3 + 4*u**2 - 4*u + 4. Determine b*m(l) - 4*a(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3\/4, -9\/2, -0.5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j - 3 + 1 - 3*j - 2. Let k(c) = 3*c - 11. What is -4*k(m) + 11*x(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2432 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, h: 7}. What is prob of sequence hfh?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119509270?\nAnswer: 2, 5, 421, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**(-8))*k**(-17)\/k assuming k is positive.\nAnswer: k**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(-14))\/((-11)\/(-154)). Let y(o) = -o**2 - 2*o + 1. Let b be y(-2). Calculate the highest common factor of b and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*x + 2*x = 0. Suppose z + x*z = -51. Let o = -43 - z. Solve -2*h = 4*g + 2, -o*g + 3*h = -3*g - 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 27*s**2 + 2*s + 53. Let k be w(27). Suppose 0 = -k*i + 101*i. Solve 0*v - 1\/4*v**2 + i = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(-1\/11)\/y))\/(y**0*y))**2 assuming y is positive.\nAnswer: y**(-20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, 1 l, and 1 u when four letters picked without replacement from yduudglggd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2145.678 nanometers to micrometers.\nAnswer: 2.145678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 0*o - 28 + 33. Let c be k(-18). Suppose -14 = 5*q - c. What is the smallest common multiple of q and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Let w = b + -3. Suppose q - 9 = -2*m, -3*q - 5*m - 10 + 38 = w. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32030 (base 4) to base 3\nAnswer: -1020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2 - 406752*k + 41361797376 = 0.\nAnswer: 203376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (18*14\/1134)\/(33\/81)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 2, -3 in descending order.\nAnswer: 2, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -50. Let u(f) = -f**3 + 3*f**2 + 3*f + 7. Let x be u(0). Put -3, x, g, 5 in decreasing order.\nAnswer: x, 5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (8\/2)\/(-2). Suppose -5*b = 15, l*b + 1318 = 5*n - b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -21. Let r = 12 - 25. Let h = m - r. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let m be (6\/(-10))\/((-4)\/10). Let z = -8197 - -24590\/3. What is the nearest to m in v, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 29296.\nAnswer: 29296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22186 is divided by 7381?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 375, 746, 1119, 1494, 1871?\n\"Answer: z**2 + 368*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 - 9 = 0. Let w be 7\/2 + h\/(-4). Differentiate -2*l**w - 5 + 4 + 0*l**3 with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -278180 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(1\/4)))**50\/(((m*m**(-1))\/m)\/m**(-3)) assuming m is positive.\nAnswer: m**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 57 = -155. What are the prime factors of o?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36.4014 + 45.40086. Let q = 9 - u. Round q to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.79 times -90?\nAnswer: -1511.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07434601 rounded to 4 decimal places?\nAnswer: 0.0743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.95082 rounded to 1 decimal place?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in -0.04, -491\/6, 0.4, -2, -1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -28 - (1 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1640896959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -12. List the prime factors of t\/5 - (1527\/(-15) + 2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*k + 5*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243854277 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149307?\nAnswer: 3, 157, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**7\/14 + c**4\/6 + 2*c + 2. Let f(h) be the first derivative of d(h). What is the third derivative of f(i) wrt i?\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4109.129cm?\nAnswer: 41091.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147 + w + 179 - 210 + (-2*w + 0*w - 2*w)*(1 - 5 + 2) to the form m + h*w and give m.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*b + 35*b + 32*b + 35*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Solve 0 = 4*f - d*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 976?\nAnswer: 19520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1884 = -10*f + 6*f. Suppose 79 + 59 = j. Suppose -f = -3*c + j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-6) - 0)*(3\/(-2))\/1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5466\/11 and -0.07 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (3 - 0) + -1 - (8 + -67 - -33).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 12, -5 in descending order.\nAnswer: 12, -0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65440?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404432 divided by -468144?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28, -13\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 46. Factor 14*g - 100*g**2 + 9*g**4 - 17*g**4 + 26*g - 7*g**m + 70*g**3.\nAnswer: -5*g*(g - 2)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 107, 177, 247, 317?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q. Let v = -5 + 7. What is the smallest common multiple of 42 and j(v)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.1. Let y = 1.9 - 1.4. Let s = -2.1 + 2. Which is the nearest to s? (a) y (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*b - 28. Let k be (-26)\/b - 3\/18. Is k + (1 - -2)*119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*i**4 + 72*i - 4268 with respect to i.\nAnswer: 72*i**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - 0.92. Which is the nearest to g? (a) 1\/3 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3 - (-1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 480*f**4*w + 5*f**4 - f**3*w + 8*f**3 - 34*f**2*w + 57*f*w + 3*f + 2*w wrt f.\nAnswer: 11520*f*w + 120*f - 6*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 40*d**2 - 439*d - 38. Let o be p(-44). Is o equal to 11535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/3 - i**3 - 3*i**2 - 27*i. Let g(b) = 4*b**2 + 5*b + 5. Calculate 6*g(y) + 5*x(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 602\/(-172) + (-10)\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 11 = -2, -2*u + 32 = 2*f. Let j(o) = o - 7. Determine j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -1842.\nAnswer: 22\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.196 - 502426700\nAnswer: -502426700.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qclllrxxxcql. Give prob of sequence rx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(882) - -6*sqrt(108)\/sqrt(6))**2.\nAnswer: 15138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5363\/5 - 1069. Determine w, given that -12\/5*w - 2\/5*w**2 - u = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 31 - 127. Let b = 32 + d. Find the second derivative of -b*u + 4*u**4 + 4*u + u**4 - 3*u wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -44.3333.\nAnswer: -44.2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109.156 + 1.156. Put 2, 0, x in descending order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 2 - (-2551)\/26. Let c = -97 + f. Calculate the common denominator of -103*(-1 + (-23)\/(-22)) and c.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 3. Let a be r(-2). Let t be (-30)\/26 + (2 - a). Let i = -7 + 7. What is the second biggest value in t, -0.4, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -318381 from -211.\nAnswer: 318170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/5472 and 131\/194436?\nAnswer: 29554272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1184426 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 6*h + 44 - 47*h**2 - 7\/2*h**5 + 12*h**4 + 13\/2*h**3 = 0.\nAnswer: -11\/7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u + 78. What is y(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1406474 in increasing order.\nAnswer: -1406474, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 8*y + 0*y)*(-8 + 106 + 11).\nAnswer: -1090*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhrh when four letters picked without replacement from {i: 4, h: 3, d: 1, r: 11}?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(4\/7)*c**(-12\/7)*c*c)\/((c*(c*c*c**16)\/c)\/c*c\/((c\/(c\/(c\/((c\/(c*c*(c*c**(2\/29)*c)\/c*c))\/c)*c))*c)\/c)))**39 assuming c is positive.\nAnswer: c**(-71838\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 9*u**2 + 10*u + 8. Let y be k(10). Suppose -r - 853 = -5*x, -r = 12*x - y*x - 677. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**5\/30 + 36*j**2. Let w(s) = 14*s**2. Calculate w(y(a)).\nAnswer: 56*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/18360 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/60)\/(3\/6))\/((-55)\/(-165))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 6:36 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i**2 - i + 1. Let y be t(4). Let o = y - -6. What is the second derivative of o*k**2 + 0*k + 2*k**2 + 6*k - 2*k wrt k?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 28854?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*h + 26, 628*h + 16 = z + 632*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by (-6)\/7 - (-516)\/14.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, -3\/8, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82095, 164193, 246291, 328389, 410487?\nAnswer: 492585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18, -60, -74, -48, 30?\n\"Answer: 2*z**3 + 2*z**2 - 62*z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 5*h + 27, 0 = 2*n + 4*h + 5 - 1. Calculate the remainder when 59 - 2\/(-5 + n) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15253?\nAnswer: 7, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 475 = -5*u. Let l = -74 + u. Suppose -v + 4 = 0, 3*v - v - 164 = -4*p. Calculate the remainder when p is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19930000 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*n + 24, -4*n - 4 = -2*y - 0. Let w = -7 + y. Let x(h) = -11*h + 13*h + h**w - 1 - 4*h**3. Determine x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 5*r**2 + 5*r - 12. Calculate x(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y. Let v(h) = -11*h. Let s(k) = -7*k. Let g = -4 - -9. Let w(c) = g*v(c) - 8*s(c). Calculate w(j(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/454 and 43\/14.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/23, -1, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 255 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/189*((-7)\/21 + 22\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = i - 82. Let d be i*(2\/3 + 10\/(-12)). What is the nearest to -1\/4 in d, -2\/5, 0.02?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -873, 3, -11, 1, 4, -10 in descending order.\nAnswer: 4, 3, 1, -10, -11, -873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) - 776\/(-10). Suppose 42 = -435*p + 442*p. Calculate the highest common factor of w and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.5. Let b = 0.1 + n. Let r = b + -0.1. What is the nearest to 0.1 in -4\/5, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.475011 at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1\/2*a**2 - 5\/2*a + 0 = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -25*h + 28*h - 4*q, 5*h - 49 = 3*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20185905 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (62\/6)\/(3\/(-18)). Let f(o) = -37*o - 1061. Let d be f(-27). Let v = p - d. Solve v*u - 3*u = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 2}. Give prob of picking 2 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 8, q: 2, i: 1, r: 2}. Give prob of sequence qqp.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041288 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/60 - g**4\/24 - g**3\/6 + g**2 - 442*g + 2. Let j(c) = 2*c**3 + 10*c**2 + 3*c + 8. Give j(u) + 6*n(u).\nAnswer: 2*u**3 + 4*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1054*q**3 - 5*q**2 - 5. Let j(y) = -1055*y**3 - 6*y**2 - 6. Give 6*c(a) - 5*j(a).\nAnswer: -1049*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 132\/28 + 3 + (41 - 49)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -496 (b) -6 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 322 = 5*i, 2*i = -3*m + 25 + 100. Suppose 5*y - i = 9*y. Let h = 31\/2 + y. What is the closest to -3 in -0.2, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33045, 66087, 99129?\n\"Answer: 33042*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + c + 2*c + 22 - 39 = 0, -2*c + 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(2*k - k + k) + (1 + 2 + 3)*(-1 + 1 + k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 914 divide 3642883588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 8*v**2 + 3. Let l be 1 - (-48)\/(-4) - -4. Let f = -1 + l. Let b be j(f). Solve -b*r + 5 = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4372 = -0*g. Let h = g + -13175\/6. Find the common denominator of h and -139\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*d - d**2 + 103 + 50*d - 103 to b*d**2 + p + u*d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -153bc + -225?\nAnswer: -15614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.0094 to the nearest integer.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -287.9699 + -0.0301. Let j = 157 + d. Let y = 131.00000107 + j. What is y rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s - 477. Give v(79).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -35*p**2 - 2414*p + 87. What is q(-69)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21280768481 and -3?\nAnswer: 21280768484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-1 - 2 - -18). Let j = p - 14. Suppose -4*m + 3*v + 12 = 4*v, 0 = m + 5*v - 22. Sort m, j, 3 in ascending order.\nAnswer: m, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4193*m - 1173 + 2351 - 1180.\nAnswer: 4193*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12211133 + 122?\nAnswer: 12211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, -3, 0, -1\/2, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/19 (b) 96 (c) 2\/15 (d) 16\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -9. Solve p - 2 - 3 = 2*i, -3*p + 4*i = -v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 > -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021396542 rounded to five dps?\nAnswer: -0.00214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m**2 + 12*m**2 + 10*m**2 + 10*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22345\/2 - 201109\/18. Let s = 0 + -0.06. Let n = -2.06 - s. What is the biggest value in -0.7, d, n, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 163 - -369. Let g be (-6)\/(-28)*z\/24. Factor -7\/4*w**4 - 1 - 4*w - 25\/4*w**2 - g*w**3 - 1\/4*w**5.\nAnswer: -(w + 1)**3*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2173590 and -19\/117?\nAnswer: 28256670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02128 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfqqoffoqoffqq. What is prob of sequence fqq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5))**(-45))**(-2\/123)\/(y**(2\/11)\/y*y\/(y*(y\/(y\/(y*y\/(y\/y**(1\/9)*y*y))))\/y*y))**(8\/5) assuming y is positive.\nAnswer: y**(18494\/20295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r - 184. Let x be m(31). Solve -1151*s**2 - 12*s - 1151*s**2 + 10 + 2304*s**x = 0 for s.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 866?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 4*l**2 - l**3 - 2*l - 2 + l. Suppose -3*w + 4*a = -4, 3*a - 2 = 2*w - 2*a. Determine c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81274379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**4\/12 + p**3\/3 + 7*p**2\/2 + 763*p. Determine o(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*z - 165*z = 5*c + 25, -5*c + 7*z = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, 86?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(-39)*(-1 + -2). Suppose 10 = -5*i + 4*p, 3*p - 12 = 3. Let c be (-20)\/16*i\/(-10). Put a, -5, c in ascending order.\nAnswer: -5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -165 - -173. Let z = 70.6 - 70.6. Which is the closest to z? (a) -0.3 (b) 0.03 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/6 - w. Let b = 8 - 6. Let y(j) = 2*j + 9. Let u(a) = -a - 4. Let i(h) = 9*u(h) + 4*y(h). Calculate b*i(d) + o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 3\/25*d**6 + d + 0*d**3 + 0 + 2\/15*d**4 + 0*d**2 - 6\/25*d**5. Determine s so that i(s) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008 + 1821 = -152*s - 6483 for s.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17864\/15 + 1193. Let n = i - 11\/15. Factor 8\/3 - 4\/3*v + n*v**3 - 8\/3*v**2.\nAnswer: 4*(v - 2)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5068123 is divided by 262.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*q = 248*q - 430*q + 2457 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*x**3 + 8581*x**2 - 8581*x**2.\nAnswer: -116*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/190 and ((-496)\/380)\/31*110\/(-212)?\nAnswer: 10070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2. Let d(n) = n**3 + 7*n**2 + 7*n + 8. Let p be d(-6). Let x be 1 - p\/(0 + -2). Let a(i) = -2 - 10*i**2 + 2 + 13*i**x. Give a(z(c)).\nAnswer: 27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2704, 2494, 2302, 2128, 1972, 1834?\n\"Answer: 9*q**2 - 237*q + 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - 4*v)*(2 + 0 + 5)*(v + 0*v + 0*v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 633 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 90. Let d = a + 3. Suppose -x + 3*u + d = 2*u, -3*u = -4*x + 348. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 131083027 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906743141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(4 + (((sqrt(243) - (sqrt(243) + sqrt(243) + 0 + sqrt(243))) + sqrt(243))*3 + (sqrt(243) - (-2 + sqrt(243)))*-5)*-6))**2.\nAnswer: 2985984*sqrt(3) + 11927232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 675270 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -283080 divided by 140\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7734 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15126*j + 15113*j + 624 for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y. Let o be 0\/((-1 + y)*2). Solve -f = 4*q + 4, -f = 2*q - o*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from aynnynnnnnannnnnanay.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97199 is divided by 675?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let l(v) = 1398748 - 1398748 + 613*v. Determine g(l(i)).\nAnswer: -613*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/83 (b) 5 (c) -3 (d) 0.1 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37045\/73 or 506?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 224 times -379182\nAnswer: -84936768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*p**4*r - 11*p**3*r + 2*p**2*r - 3*p**2 - 5*p*r - 9*p - 5*r wrt p?\nAnswer: 456*p**2*r - 66*p*r + 4*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 7*v**2 + 3*v - 5. Let x(i) = i - 6. Let r be x(6). Let w(p) = -p**2 - p + 7. Let l be w(r). Is 7 a factor of a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 209504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6*k - 2*k + 220 = 7*k, -7*f - 5*k = -346 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*u*w**3 + 15699*d*u*w**2 - 2*d*u*w - d*u + 874737*d*w**3 wrt w?\nAnswer: -18*d*u + 5248422*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 63 = 3*u, 5*s = -2*u + 106 - 489. Let w = 523\/7 + s. Let n be 2\/(-7) - (-4)\/63. Which is the closest to w? (a) 0.1 (b) -2\/3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r - r)*(0*r + 0*r - 2*r) + 0*r**2 + 0*r**2 - r**2 + (r - 6*r + 4*r)*(9*r + 8*r - 21*r + 3).\nAnswer: 5*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 33 + 81 = 0. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (-1 + (-3)\/(-1)). Let o be 1 + -1 - 6\/(-16). Let h be (8\/(192\/(-10)))\/(5\/(-2)). Which is the nearest to -1? (a) h (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*b + 5 - 46, 55 = 5*q + 3*b. What is the hundreds digit of (-1052)\/(-7) - (-2)\/(-56)*q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -365\/3 + 123. Let y = -0.3 - -0.5. Sort y, m, -0.2 in increasing order.\nAnswer: -0.2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 21*o**4 - 8142*o**3 - 119487*o**2 - 447132*o - 118188 = 0?\nAnswer: -7, -2\/7, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 292*m**4*t**2 - 3*m**4 + t**2 + 1579*t wrt m.\nAnswer: 1168*m**3*t**2 - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from uzeyziz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -956 - -960. What is the remainder when 29 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -0.102 (b) -16\/3 (c) 3 (d) 1\/6 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*l - 43499, -1051*w + 1047*w = 28. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 - 0.04\nAnswer: -36.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(4\/(-6) - 43\/(-60)). What is the tens digit of (-12)\/(-5)*12 + (-28)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2 = 2*w, -4*f + 6 = 3*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.6 and -91?\nAnswer: 327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/5 (b) -2 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -28*u + 23*u + x, 0 = u + x + 2. Sort u, -8, 5, -4.\nAnswer: -8, -4, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7843 and 759.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -574 + 578. Let k(g) be the second derivative of -g**5\/20 - 5*g**4\/6 - 4*g**3\/3 + 6*g**2 + 3*g. Let z be k(-9). Put -2\/5, z, r in descending order.\nAnswer: r, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 5. Let l = d - -9. Suppose -3*a = -b - 6, -4*b - 3 - 1 = -l*a. Solve 2*q + 3*p = -0*q, -4*p - 2 = a*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/25*(-5)\/2. Let b = 460 + -458. What is the closest to d in 1\/12, -1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 115 = 388. Let o = 4 + -2. Solve -5*m + s = -4*n + o, -3*n = 3*m - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -29 (c) -53 (d) -0.2 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and -55?\nAnswer: -236.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, -8, -20?\n\"Answer: -12*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 6*g + 7. Calculate the remainder when 15 - (-3)\/6*-4 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2070*i**3 + 119*i - 1709765?\nAnswer: 6210*i**2 + 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*t**3 - 10 + 4 + 3 + t**4 + 39*t**3 in the form f*t**4 + y*t**3 + s + l*t**2 + z*t and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, -3, -1, 1?\n\"Answer: 2*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -158 - -172.8. Let w = m - 10.8. Let c be (3 - 2) + 1\/(-3). Put 2, w, c in ascending order.\nAnswer: c, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 467*l - 5814. Let o(c) = -7*c**2 + 1883*c - 23255. Let b(d) = -11*a(d) + 3*o(d). Differentiate b(r) with respect to r.\nAnswer: 2*r + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p + 147*p = 314328. What are the prime factors of p?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/5, 0.264, 991, 24\/7, -0.1, 3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27508 and 243737.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 10*v - 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2*l)**(-1\/11)*l\/(l**(4\/7)*l)*l**4)**(15\/11) assuming l is positive.\nAnswer: l**(3540\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88) + ((sqrt(88)*-1 - sqrt(88))*3 - sqrt(88)))\/sqrt(8) - (1*sqrt(704) - -5*(-1 + sqrt(11))))**2*3.\nAnswer: -59940 + 2850*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*g - 19. Let x be 3*-1 + 32\/4. What is the highest common divisor of x and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13981)\/(-8184) - ((-114)\/(-48) + -3) - (-260)\/3?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13*j**3 - 26*j**2 - 26. Let l(z) = z**3 - z**2 - 1. Calculate 26*l(t) - q(t).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20502 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 14*m. Let v(g) = g**2 - 3*g. Let h(t) = -p(t) - 5*v(t). Let w(k) = -2*k. Calculate h(w(o)).\nAnswer: -16*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 111, 116, 133, 168, 227, 316, 441, 608?\n\"Answer: s**3 - 2*s + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 8. Let o be x(-7). Calculate the highest common factor of o and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-89)\/(-178))\/(-3*1\/138).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7349760 divided by 768?\nAnswer: -9570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569905 is divided by 3454?\nAnswer: 3449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 1944360\nAnswer: 1944360.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 171*t**2 - 4270*t + 125. Calculate a(25).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5738761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 20 - (1 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -5*h**6\/3 + 5*h**2 - 16. Find the second derivative of s(q) wrt q.\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 21\/5 (b) -0.012 (c) 5 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/41297113 and 69\/18771415.\nAnswer: 206485565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -4\/9 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*w - 103, 2 + 3 = 5*w. Let t be 4\/(-10) + (-8)\/k. Suppose t = 50*r - 51*r + 3. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**(-13)\/f)*f)\/f)\/f**(-7)*f**(-2)\/f**7)**(-24) assuming f is positive.\nAnswer: f**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiii when four letters picked without replacement from hiiuihh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00443913 rounded to five dps?\nAnswer: 0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 - -13) + (8 + 17 - (72 + -45))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-110)*2*-1)\/(5\/10).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -257, 5, -2\/3, 4\/9, 2\/19, -5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v + 6. Suppose v*r - 219 = -3*n, -4*n = -r + 3 + 75. Is r a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o**2 + 5*o + 6. Suppose 62 = 5*h + 7. Suppose -5*r = -0*r - 30. Let m(i) = 13*i**2 - 9*i - 11. Calculate h*j(y) + r*m(y).\nAnswer: y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, r: 2}. What is prob of sequence kkrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5cc54d (base 15) to base 4.\nAnswer: -100331131321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 13*g**2 - 21*g - 12. Let a be (96\/(4 - -2) - 10) + 5. What is o(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000 + -10?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15964, 16046, 16128?\nAnswer: 16210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 864023854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnbrnrbrrhr. What is prob of sequence rbnn?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d + 1\/3*d**3 + 4 + 3\/2*d**2. Suppose 0 = -p - 3*p + 8. What is z(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from uewpl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893719 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/263 or -1?\nAnswer: 3\/263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.1, 2\/23, -12, -0.08 in increasing order.\nAnswer: -12, -0.08, 2\/23, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.611 - 0.389. Let f = 3 - 3.5. What is the second biggest value in 1\/4, f, 3\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10019*v**3*w**3 + 53*v**2*w**2 + 42*w**3 wrt v.\nAnswer: -60114*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 1 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 348, -3, 1, 5 in descending order.\nAnswer: 348, 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 11:03 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -235, -239?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r*r)**31 assuming r is positive.\nAnswer: r**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4041 divided by -9?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4572439\/1710 + 13372\/5. Calculate the common denominator of s and 35\/33.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 93 + 14*w**2)*(-w + 4*w - 5*w) to i + s*w**2 + g*w**3 + n*w and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-195)\/910.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 43*-63988\nAnswer: -2751484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5587983 (base 10) to base 13.\nAnswer: -12085cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (18 - -2) + -19.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652962 divided by 217654?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - -36. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from aoeakaaakoookodae.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 81. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.07073078258 - -12.\nAnswer: 10.92926921742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58988 = 18*b - 329471 - 83591. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36169.69 decades to years.\nAnswer: 361696.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x. Suppose -4*l + l + 189 = x. What is the highest common factor of 42 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-559)\/86 - 1*-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.5999+0.2\nAnswer: 5.7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -407030 + 5?\nAnswer: -407024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/169540 and -59\/20760?\nAnswer: 1017240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4151223 litres?\nAnswer: 415.1223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*i = -5*i + 16, 4*i = -v + 2. Let t(n) be the first derivative of n**2 + 3*n - 1. Calculate the remainder when t(v) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u + 0 - 1\/3*u**3 + 1\/60*u**5 - 1\/24*u**4 - 2*u**2. What is the tens digit of m(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = 7309*i - 7298*i for i.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 5, j: 8}. What is prob of picking 2 s, 1 x, and 1 j?\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 3, 0.13, -2, -3\/28, -20\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2 (c) -1330.5 (d) 856\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**9\/20160 - 3*u**8\/8960 + u**6\/240 - u**4\/2 + 5*u. Let g(p) be the third derivative of s(p). Find x such that g(x) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -437184, -874361, -1311536, -1748709?\nAnswer: -2185880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.13 (b) 6 (c) 0 (d) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1065, 2536, 4927, 8238, 12469?\n\"Answer: 460*q**2 + 91*q + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z - 780 = -8*z + z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018230967 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:31 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 68. Let w be p(14). Suppose w*b - 11 = 5*x, 4 = b - x - 2*x. Let v = -6 + 8. Solve -v*m + 2 = 2*f + 2*m, 0 = f - 5*m + b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -61. Let h = l - 18. Suppose -47*s + 12 = -41*s. Solve -i + h = s*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (114\/24)\/(668\/2672)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1056*m - 1054. Let p be l(1). Solve b = 21*h - 17*h + p, b + 1 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 + 175 + -21 + -1 + -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ab + 6?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -623 + 999. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*n - 2*n + 6*g + 160583, 0 = -3*g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5305 = -870*j + 2075 + 7410 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 28. Let z(j) = -2*j + 57. Give 7*q(s) + 4*z(s).\nAnswer: -s + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -320 - 10 = 5*s. Let x = s - -79. What is the highest common factor of 39 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.86 and -0.2.\nAnswer: -0.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 5:28 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**3 + 39*q**2 - 50*q + 277. Calculate g(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 11. Let k(u) = u - 1. Let l be k(6). Calculate o(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -284643 and 2.6206.\nAnswer: -284640.3794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/7 (b) -1378 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -10058*h + 170849. What is b(17)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2792139 times 47\nAnswer: 131230533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*g - 77 = -11*v + 47, 29*v - 23*v - 4*g - 2*g - 84 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 = 5*b, -4*b - p - 3*p = -4. Factor 7*w**2 + 24*w - 3*w**2 - 3*w**b + 11*w**2 + 16 + 2*w**3.\nAnswer: 2*(w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 3*f**2 + 7*f. Let z(h) = h**2 - 2*h - 6. Let a(v) = 1. Suppose -4*g - 2*g = -6. Let p(d) = g*z(d) + 6*a(d). Give -7*p(m) - 2*q(m).\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f + 0*f - 2 - 5*f)*(-4300 + 3744 - 3293 - 2300) as o*f + n and give o.\nAnswer: 6149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 617\/7 + -88. Let o = 6 - 26. Let q be o\/171 - (-4)\/18. Sort q, -4, g in decreasing order.\nAnswer: g, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, n: 1, d: 3, o: 1, j: 3, u: 1}. Give prob of picking 1 o and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 225\/2*(-4)\/5. Calculate the common denominator of w\/(-28)*(4 - (-69)\/(-15)) and 29\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 1. Let s(n) be the third derivative of -n**4\/24 + n**3\/6 + 3*n**2. Calculate -m(o) - 2*s(o).\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1448389 = -374775. Let b = h + 369418. What is b rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*f = 209 - 1372, -3*v - 3*f = -699. What is the remainder when v is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 765 = 3*j - 0*j. Suppose b - z = 5*b - 340, -z - j = -3*b. What is the greatest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34046678 less than or equal to -34046678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241850269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5 + 9*i**4 + 12*i**3 - 48*i**2 + 48 = 0. What is i?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -65 - (229 - (268 + -35))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -407089\/120 - -33939\/10. Find the common denominator of (-4788)\/147*2\/(-160)*2 and b.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 + 3*x - 1. Let a be (-6)\/4*(-12)\/18. Let d(p) = p**3 - p. Calculate a*d(f) + y(f).\nAnswer: -2*f**3 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**38*m**8)\/(m**(-1\/2)*m**19*m) assuming m is positive.\nAnswer: m**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llhl when four letters picked without replacement from {h: 1, m: 1, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(3\/(-5 + 14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 14. Let x be (-46)\/s + 13\/(-52). Let q(f) be the first derivative of -f**3\/3 - 5*f**2\/2 - 3*f - 1. Determine q(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*w - 3*w. Calculate the remainder when 82 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7125725*y + 6143517.\nAnswer: 7125725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o + 6. Let a be q(10). Solve k = a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - (16\/(-2) + 4). Let h = -7 + v. Suppose h*t - 3*t = -3*p + 30, 0 = p + 2*t - 10. What is the least common multiple of 3 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(550)*-2 - sqrt(550))*-2 + sqrt(550) - sqrt(550)))\/(sqrt(44)*-2 + -5*-3*sqrt(11)).\nAnswer: 90*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - -cb?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -14*n**5\/25 + 20*n**4\/3 + 44*n**3\/3 + 8*n**2 + 22*n\/15 - 382. Let w(a) = 0. What is a?\nAnswer: -1, -1\/3, -1\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476680753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-55)*10\/4. Suppose 4 = -2*d + 12. Suppose 10 = 3*b - a, -d*b + a = -14 + 1. Solve -s*t - t - 5*v = 1, b*v - 3 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let y = -65\/88 - 1\/88. Which is the biggest value? (a) k (b) y (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288*i**3 - 843*i**2 + 289*i**3 + 291*i**3 - 867*i**3 - 525*i**4 wrt i.\nAnswer: -12600*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*y - 4*k - 4, -2*k + 13 = 3*y. Suppose 5*t - 4*j = 137, 2*t - y*t + 2*j = -31. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = 5*x, -4*x + 20 - 1 = -5*f. Let z(k) = 5*k**3 - k**2 - 8*k + 17. Let d(t) = 2*t**3 - 3*t + 6. Let v(w) = 8*d(w) - 3*z(w). Give v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -298 - 4d81?\nAnswer: -5239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 19*i - 23*i + 28 = 0, 4 = i. Solve 0 = -z - 2*t - 8, -w*t - 13 = -5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-31)\/(12896\/(-39)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-100)\/(-250)*-1*15\/(-12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o**2 - 251*o**2 + 75*o**2 + 57*o**2 + 64*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1383922480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 33*w**3 + 64*w**2 + 21*w + 2. Calculate p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 4)*(2*f + 2*f - 3*f)*(2 - 2 + 8)*(-3 - 2 + 2) as l*f + d and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100121 (base 3) to base 4.\nAnswer: 301213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 30 = -5*x, 41 + 2 = 4*x - 7*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, -1\/3, -447.\nAnswer: -447, -5, -1\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = 8 - 26 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -1894418.\nAnswer: -568325.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 - 3.11. Let c = o - -2.56. Let m = -0.2399999 - c. What is m rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**4\/24 + t**3\/3 + 8*t**2. Let q be n(-2). Solve 0 = 5*s - q*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2631917 is divided by 212?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107683 and 1257?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200701 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j - 6924*j**2 + 13852*j**2 - 6927*j**2.\nAnswer: j**2 + 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*v**3 + 5373*h*v - 138*h - 2*v**2 - 110 wrt v.\nAnswer: -6*h*v**2 + 5373*h - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4990562419 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w**3 - 3*w**2 - w + 1. Suppose 7*l = 3*l + 144. Let j = -22 + l. What is the remainder when h(-2) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 10*g - 5*g)*(1 + 3 - 2)*(4*g - 4*g - 2*g**2) to v + b*g**3 + w*g + u*g**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1\/2)))**(3\/10))**(-2\/43) assuming k is positive.\nAnswer: k**(-3\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-175862)\/(-89)*(4 - 5). Let j be 12\/(-21) + ((-774816)\/(-49))\/8. Let l = b + j. Is 0 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*o = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s + 48. Let o be f(-3). Suppose -5*c = -o + 2. Suppose 0*x + 0 + 2\/3*x**c - 2\/3*x**3 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -214 - (26\/4 - 44\/88). Let y = 297 + o. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a millennium?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20276 is divided by 120?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 115.45, 0.9, -1\/5, -0.5 in decreasing order.\nAnswer: 115.45, 0.9, 0.03, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/(-18))\/((-4)\/6). Suppose -2*q = -f - 2. Solve -9*c + c**q + 8*c - c**2 - 2 + 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11446 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) 3644\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(85) - sqrt(85)) + 4*(sqrt(85) - (sqrt(85) - (sqrt(85)*-4 - sqrt(85)))))\/((sqrt(105)\/(sqrt(12)\/sqrt(4)))\/((sqrt(378) - sqrt(42))\/sqrt(6))).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 7*y**2 + 5*y + 6. Determine v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**2*g)*g*g**(-2\/29))\/(g**(-7)*g**0) assuming g is positive.\nAnswer: g**(172\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:24 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3733917.4 minus -1.7?\nAnswer: 3733919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -2, 65, -6, -1, 5 in increasing order.\nAnswer: -6, -2, -1, 5, 65, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + -2.94. Let k be (4\/(-9) + 5 + 3424\/(-720))*-15. What is the closest to -0.11 in k, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 1 (c) -2\/5 (d) -0.1 (e) 53.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599069663 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -11*z**6\/120 + 2*z**5\/15 - z**4\/3 - 4*z**3\/3 - 1758*z**2. Let b(q) = q**2 - q - 1. Give -24*b(u) + 3*f(u).\nAnswer: -33*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(sqrt(475) + sqrt(475) + (5 + (1*sqrt(475) - sqrt(475) - sqrt(475)))**2) - (0 + -5 + -1 + sqrt(475)))*-1*-6.\nAnswer: -8965 + 690*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -113361 by -3.\nAnswer: 37787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*n - 125 + 15 = 0, 0 = -2*n. Let p = t - -7. Is -382*(p\/6 + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - l - 312 + 283, -2*q - 4*l = -94. Let c be -1 - -68 - -1 - -2. What is the highest common divisor of c and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkd when three letters picked without replacement from dkkkdkkkkkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**6\/120 + s**5\/20 + 5*s**4\/24 - 2*s**3\/3 - 3*s**2\/2 - 4*s. Let i(o) be the first derivative of t(o). Give i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 301179779*j**2 + 86961904.\nAnswer: 602359558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 31944*d**2\/5.\nAnswer: -2*d**2*(d + 15972)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/189*(-12)\/1)\/((156\/(-126))\/(-13)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 58143 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**5\/20 - j**4\/2 - j**3 - j**2 - 3*j. Calculate y(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + (sqrt(85)*3 - sqrt(85)) - sqrt(85))*-3 - 1*sqrt(85)*1)\/((sqrt(20)\/(sqrt(4) - (sqrt(16)\/sqrt(4) - sqrt(4))) - 2*sqrt(80))*1).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + dad?\nAnswer: db5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54974, -54894, -54816, -54740, -54666, -54594?\nAnswer: -54524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**7\/280 + y**5\/20 - y**3\/3 + 2. Let x(m) be the third derivative of j(m). What is the second derivative of x(g) wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5772252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/4 in -2\/3, -4, -16.6, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Let r be (-4)\/(-8)*(q - 4). Find the third derivative of 2 - 2 - 8*n**2 + r*n**2 - n**3 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11513575806 - 1650\nAnswer: 11513574156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/3)\/u*u*u*u)\/(u\/(u*u\/(((u*u**(3\/4))\/u)\/u)*u)))**(-3\/32) assuming u is positive.\nAnswer: u**(-59\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -772, -1126, -1462, -1774, -2056?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*r = 0, -4*r = 6*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmgmegmccccmecmmcgcc. What is prob of picking 1 g, 2 m, and 1 c?\nAnswer: 168\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75199957 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.29493 - -0.05493. Let g(h) = -h + 4. Let d be g(5). Which is the third biggest value? (a) s (b) -2\/13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1c472e?\nAnswer: 1c4729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -11\/4, 0, 0.5, 537.4 in decreasing order.\nAnswer: 537.4, 0.5, 0, -2, -11\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/7*0*(-2)\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010 (base 4) in base 11?\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 4 = -3*s. Let a be (-4)\/14 - (-46)\/s. Let w be (1\/(-1))\/((-2)\/(-10)). Sort w, -4\/3, a in increasing order.\nAnswer: w, -4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111222020 + -10?\nAnswer: -111222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a - 12. Let c be b(-5). Find v, given that 9*v + 6 + 6*v**c + v**3 - 10*v**3 + 0*v**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*d**4 - 309 + 2*d**2 + 80*d**4 - 252*d**4 + 86*d**4 + 259*d**6 wrt d.\nAnswer: 31080*d**3 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*t - 7. Suppose 4*d - t = d. Factor 30*k**2 - 11*k + 2 - 6*k**2 - d*k.\nAnswer: 2*(3*k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*d + 3*f = -1640, 8265 = 5*d - 2*f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3278 * 0.2\nAnswer: -655.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k**2 - 509*k**4 + 63*k**4 + 65*k**2 + 2*k - 23*k**2 - 18*k**2 in the form r*k**4 + j*k + f + a*k**2 + u*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + k + 40, -2*l - 3*k = -0*l + 1. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1227\/(-6544))\/((-9)\/(-56))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(5*sqrt(17))**2 + sqrt(17)).\nAnswer: -3*sqrt(17) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 78. Let m be 9\/3 + ((-75)\/s)\/(-1). Which is the closest to m? (a) 1\/3 (b) 0 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5219018390.\nAnswer: 2, 5, 863, 604753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 11*a - a - 8*a in the form p + n*a and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/1)\/(-3) - 0. Let n(s) be the second derivative of -s**3\/6 - s**2\/2 - 19*s. Let p be n(v). Solve 4*d + p = -2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3194 + 5409 = -4*l - 3277. Which is bigger: -2969 or l?\nAnswer: -2969","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/19 and 55\/513.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**3 - 4*s**2 - 3*s - 1. Let l be o(-2). Suppose 86 = 5*a - 44. Suppose -l*d + 96 = -a*d. What is the greatest common divisor of d and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2889 and 6099.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472 = 1552*o - 28016 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -24, -42, -60, -78, -96?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*(-2)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 21, -30 in decreasing order.\nAnswer: 21, -1, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-10))\/((-6)\/45). Suppose -5*y - j = -4. Let g be (-51)\/(-3) - (-2 - y). Calculate the highest common divisor of 90 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185544 times 0.01\nAnswer: 1855.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z + 412257 = s + 17*z, 3*z + 15 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/886 or 0.3?\nAnswer: 3\/886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5605 + -10007?\nAnswer: -15612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(960\/32)*(-1)\/(104\/16).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191580 by 89.\nAnswer: 191580\/89","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v - 1. Let x be i(1). Suppose 281 = x*u - 10243. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from uuttzur?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 5*i + i. Let p(h) = -48*h - 32*h + 71*h. What is d(p(y))?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2254287 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.794 to 1 dp.\nAnswer: 141.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*w + 332*w - 5*l - 20 = 0, -5*l = 12*w + 55 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 - 4.5. Let r = -2.39999946 - g. Round r to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 19209*h + 19210.\nAnswer: -(h - 19210)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100404\/13 - 430057\/78. Let y = -2221 + z. Find the common denominator of 22\/(-36) - (-2)\/6 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -174*x**2 + 131 wrt x.\nAnswer: -348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.05, 0.5, 2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10*n = -5*n + 358, 5*n + 445 = 5*s. Solve 2*l = 7*d - 12, s - 89 = -2*l for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 - 3 = 0. Suppose -5*i = -j - 173, j = 4*i - 141 + f. Calculate the lowest common multiple of 11 and i.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 4003534?\nAnswer: 16014136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 7)\/((-2)\/(-5)). Suppose -4*l - w = s, 0*s + 4*s + 3*l = -1. Is s\/(-3) - (-226)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875)*2)\/(sqrt(112)\/sqrt(4)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 21*y + 0 + 0*y**6 + 0*y**4 - 3*y**2 + 0*y**5 + 11\/14*y**7 + 1\/3*y**3. Find the second derivative of n(m) wrt m.\nAnswer: 660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 482.2255 kilograms?\nAnswer: 482225500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.5337 to 1 decimal place.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1483.4 - -1483.2. Let m = 2.94 + -3. Which is the second biggest value? (a) 2\/15 (b) m (c) k (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -99*r + 945. What is the least common multiple of x(8) and 57?\nAnswer: 2907","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-2)\/1)*((-8684)\/(-78) - 104).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 - -2. Let h = i - -65. Which is the second smallest value? (a) -41 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 24*y**2 - 296*y - 196. Calculate n(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.95 - 0.95. Let u = g - 64. Let n = u + 23.7. What is n rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19513 + 2243979\/115. Find the common denominator of -63\/115 and z.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oepoeopp. What is prob of picking 3 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33b81 (base 15) to base 3.\nAnswer: -22100210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68293.5 take away 1.57?\nAnswer: -68295.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3694310336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9620*b + 8078*b - 895895 = 3915*b for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 364472114?\nAnswer: 2, 233, 782129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:35 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 1. Suppose 21 + p = 3*v. Suppose 60 = -v*g - g. Let n(k) = k**2 + 6*k + 9. Determine n(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, 2\/5, -10 in decreasing order.\nAnswer: 5, 1, 2\/5, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 17. List the prime factors of 18 + (x - -2) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbd when three letters picked without replacement from {b: 3, d: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 2, -0.97, -4\/29, -2\/11, -0.5?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*u + 264. Is (4 - u\/12)\/(1\/423) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/(-148)*26*1)\/(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-174*(-4)\/90)\/((-3)\/(-756)). Let s = -1956 + n. Calculate the common denominator of 2\/5 - (-392)\/(-30) and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 62\nAnswer: -27\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19213 - 4*x**2 - 9604 - 9609 + 8*x.\nAnswer: -4*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/167232 and -151\/176064.\nAnswer: 153351744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 10*d - 1. Let p be j(7). Let i = -25 - p. Suppose -3*n + 2*n + 28 = 5*x, 0 = 4*n - 5*x + 13. Solve 0 = n*m, -m + 8 = i*q + 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00839536 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128472 is divided by 980.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(2 + -2 - -2)*(-7440)\/13640?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -35 + 35 + 3*s**2. Let i(r) = 5*r**2. Determine i(x(c)).\nAnswer: 45*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2265 + -2268. Which is the closest to -2? (a) 18\/7 (b) z (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.9 + 17.8858. What is t rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 123 (b) -57 (c) 0.3 (d) -1 (e) 1\/4 (f) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**2 + 4 - 4*x**2 - 4 in the form z*x**2 + v*x + p and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -3.1. Let h = -7 - -12. Which is the third smallest value? (a) 1\/3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8529486 millilitres to litres.\nAnswer: 0.0008529486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472490 divided by -47249?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1620174*t**2 - 540050*t**2 - 540059*t**2 - 540061*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (68 + -31 + -83).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 7. Let p be o(-1). Solve -p*l = -7 + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6883 and 48181?\nAnswer: 48181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n - 3. Suppose 0 = 3*x + 5*d, 2*x + 0*x = 4*d + 22. Let g = 946 - 954. Let o(j) = 4*j + 2*j - 2*j - 5 - 2*j. Calculate g*p(w) + x*o(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*41\/(-1 - -2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*d - 71 + 212 - 70 - 71 in the form u*d + p and give u.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4385.716 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 20*x = 3, 1284 = 3*v + 2*x. Calculate the remainder when v is divided by 110.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 375*x + 386. Is k(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 3*o + 28. Suppose 7*n - 26*n = 13*n - 14528. What is the remainder when n is divided by o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15695 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -36. Let b be 28\/(-2)*(-3)\/z. Solve 0 = -b*d + 4*d + 2*p, -p = -3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120748?\nAnswer: 2, 30187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 14 = -5*z, -3*w - 2*w + 2*z - 97 = 0. Let q = 20 + w. Is 6 a factor of q\/2 + 166\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 4*b + 12. Let d = b - 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -3*d + 158, -5 = -w. Calculate the remainder when 276 is divided by d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 6:57 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -29.0816 and 458639.2.\nAnswer: 458610.1184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 634*b**5\/5 + b**4\/24 - 29*b**3\/2 + 7*b**2 - 2*b + 5. Find the second derivative of c(s) wrt s.\nAnswer: 15216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1 - (-3)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (520\/650)\/(2\/5). Solve -44 = 5*s + h - 14, 5 = s - b*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3809 - -3810. Let u = -3 - -2. Let l = -56 + 49. Which is the nearest to 1? (a) u (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 29*v - 12. Suppose 0 = -10*a + 11*a - 5. Is r(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 4*q - 4. Let t(h) = h - 1. Let m(s) = k(s) - 3*t(s). Determine m(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from {q: 4, b: 4, t: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o**2 - 141*o\/5 - 18\/5 = 0. Calculate o.\nAnswer: -3, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2456, -4914, -7372, -9830, -12288, -14746?\n\"Answer: -2458*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1020 + -655. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**4 + f**3 - 3*f**2 - 1. Let j(o) = o**4 - 7*o**3 + 79*o**2 + 32*o + 5. Let v(t) = -j(t) - 5*x(t). Factor v(p).\nAnswer: 2*p*(p - 4)*(p + 4)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/6 and -5\/26596?\nAnswer: 79788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 534.1 from -37560018.\nAnswer: -37560552.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 6*b + 10. Let a be y(7). Let u(t) = a - t - 2*t - 2. List the prime factors of u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25812 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/22*(-759)\/(-1932).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 - 7*l - 5. Let c(m) = -2*m**3 - 8*m + 3*m**3 - 11*m**2 + 6*m**2 - 6 + 12*m**2. Let i(p) = -5*c(p) + 6*f(p). Factor i(j).\nAnswer: j*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1976333 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -141\/13. Let q = -25 + 21. Which is the fourth biggest value? (a) 0 (b) 3 (c) z (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 15, 28, 43?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 1 - 1)*(2 - 3*q - 2) - 3*q**3 + 3*q**4 - 2*q**4 + 2*q**3 to the form f*q**2 + d*q**3 + g*q**4 + u*q + x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.075 in -0.5, -2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(5500))\/(sqrt(99)\/(sqrt(9)*-2))*-6.\nAnswer: -480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*b - 4 + 12 - 148*b.\nAnswer: -7*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + 159\/(-15))\/((-2)\/(-15)). Let a(l) be the second derivative of -3\/4*l**w + 0 + 3*l + 0*l**2 + 1\/4*l**4 + 3\/40*l**5. Suppose a(y) = 0. What is y?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 6380*m**2 - 1334.\nAnswer: 3*m**2 - 12760*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2765, 12287, 28083, 50093, 78257?\n\"Answer: -10*w**3 + 3197*w**2 + w - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5\/7 - 79*q**4\/7 + 36*q**3\/7 + 316*q**2\/7 - 80*q\/7 = 0. Calculate q.\nAnswer: -20, -2, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 33848923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-22 + 21)\/((-1)\/3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 1101492.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, j: 1, q: 1, y: 1}. What is prob of sequence qdj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x - 80. Suppose 4*r + 38 = k, -32 = 4*r - 5*k + 14. Let m be a(r). What is the closest to -2 in 2, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 2*m + 2*m)*(-3 + 8 + 12) + 17 - 19 - 14*m - 4*m as y + f*m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - 2) + -7 - 1) + -1556 + 1532?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**4 - 2*s**2*x**2 - 9*s**2 - 167*s*x**2 + s*x wrt s.\nAnswer: -24*s**2 - 4*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 117 = -3*v, -2*r - 6*v + 10*v = -76. Suppose -2*f = -2*k - 17 - 1, 4*f - r = 2*k. Calculate the remainder when 86 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*s - 8 = 0, 3*p - 2*s + 4 = 26. Suppose 2*x = -3*n + p*n + 3, x + 1 = 3*n. Suppose 6*j - x*j = 0. Solve i + 0*i = j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2*6\/60). Suppose 1083 = 8*j - i*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 58 = q + f, 4*q - 2*f = -182. Let s = 55 - q. Suppose -6*t + s = -95. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3)*-4*(-3)\/16. Let m(c) be the first derivative of d + 1\/20*c**5 - 1\/12*c**3 + 0*c + 1\/8*c**2 - 1\/16*c**4. Determine z so that m(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 - -24576481?\nAnswer: 24576644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 499 - -906. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, s: 2}. Give prob of picking 1 y and 2 s.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*i**3 + 42*i**2.\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/161245 (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-10) - 774\/45)*-5. Let g be (-2)\/(-5) - 108\/(-5). What is the greatest common factor of y and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:42 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**5\/6 - 29*j**4\/6 + 451*j**3\/2 + 7299*j**2\/2 + 5634*j - 9504 = 0. Calculate j.\nAnswer: -48, -12, -3, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from {b: 1, j: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5*q - 5*o**4*q - 4*o**2*q + 2163*o*q wrt o.\nAnswer: 20*o**3*q - 60*o**2*q - 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11*z)\/z**(-17)*z**(-1\/6)\/(z**20\/z) assuming z is positive.\nAnswer: z**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-7 - 9*4\/(-3)). Put -0.03, c, -10 in ascending order.\nAnswer: -10, -0.03, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a - 283 + 137 + 143. Let f(o) = -13*o + 7. Calculate -5*b(y) - 2*f(y).\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47064*a + 12146?\nAnswer: 47064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1011 or 1027?\nAnswer: 1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, z: 5}. Give prob of sequence zzrz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.251 + 20.889. Let z = w + -24.257. Round z to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - (-2)\/(-6). Suppose q = k - 2*k + 11. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*(-3 + (-12)\/(5928\/(-1417)))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250402 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 275, 341?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 2923 = -593*v - 13121 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -105080.52 to the nearest 10.\nAnswer: -105080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191038, 382072, 573098, 764116, 955126, 1146128?\nAnswer: 1337122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4700.092 + -4700. What is the third biggest value in -5, -2, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (31 + 7 + -18)) + -18?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/4)\/(15\/(-40)). Suppose 42 = 4*j - 5*g - 7, 2*j - k = -2*g. Suppose -5*i = -j*i + 1049. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/42, -0.3, -43 in descending order.\nAnswer: 2, -1\/42, -0.3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a microgram in nanograms?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0 + 1\/630*l**7 - 2\/9*l**3 + 1\/60*l**5 - 4*l**2 + 0*l + 1\/90*l**6 - 1\/18*l**4. Factor s(i).\nAnswer: (i - 1)*(i + 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(2) + -1) - sqrt(2)) + sqrt(72)*-2)**2.\nAnswer: 84*sqrt(2) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 31 + 29 = -3*h, 0 = 3*h - 4*a + 46. Let k = -68 - h. List the prime factors of 3*3\/((-18)\/k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 621.44 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -66*u + 9. Let y be h(3). Let m = y - -192. Solve m*t = 15 - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7804*y - 7781*y - 4 - 1 + 5.\nAnswer: 23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -7845 and 636 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = 2*c - 18, -26 = -4*c + 2*a. Suppose -2*i + c = -3. Solve 3 - i = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r + 3047 = 662. What is the smallest common multiple of 108 and r?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/24 - ((-293)\/8 - (-98 + 99)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/7 (b) -187 (c) 3 (d) 5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21149597 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, y: 2, q: 2, v: 3}. Give prob of sequence qqvy.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*j + 36 = 0, 0 = -0*b - 5*b - 3*j + 21. What is the greatest common factor of b and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.3 (b) -1 (c) 2\/9 (d) -69 (e) 7 (f) 3 (g) 367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 168, -4, -28, -23570 in decreasing order.\nAnswer: 168, 3, -4, -28, -23570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 148*m + 426. Let v be f(3). Solve v = 5*t - 2*u + 12, 6 = t - 4*u - 6 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -461, -444?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358436 is divided by 96?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 43 = 2*a. Does 26 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 165. Let v be 1845\/q*(-1 - 10\/(-6)). Suppose -16*j + 9 = -v*j. Calculate the highest common divisor of j and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*l + 174*l - 36*l - 34*l - 17*l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*i**6*v - 34*i**4 + 60*i**3*v + 437844*i**2*v + 2*i**2 wrt i.\nAnswer: 9120*i**3*v - 816*i + 360*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + l - 6*l = -30, l + 0 - 131 = -24*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5570747459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*x = 177*x - 6390232. Let l = 1053558 + x. What is l rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -564739.396 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(sqrt(160)\/sqrt(160))\/sqrt(8).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 843249 (base 12) in base 15?\nAnswer: 2b1089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6598 + 7031 - 151*g**2 - 162*g**2 wrt g?\nAnswer: -626*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-28)\/(-210)*10)\/(3\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/5 + (-22)\/(-5). Let h be ((-1)\/2)\/(1\/(-50)). Calculate the greatest common factor of c and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 + 3 = 2*s, 4*t = 4*s + 40. Suppose -7694 = -t*n - 3*k, k + 2*k = -6. What is n rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.06 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Let v = -5 - -5. Which is the smallest value? (a) -1\/4 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.023 - -42. Let n = r - -0.0146. What is n rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 d when four letters picked without replacement from dddddppddpqdpdpdd.\nAnswer: 165\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-5)\/945*12.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6 + 2*g**3 - 9*g + 6*g - 8*g**2 + 12*g. Let p be k(7). What is the units digit of p\/6*(14\/6 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*l + 70595, 4*l - 20*w + 21*w = 94073. What is the ten thousands digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000733847 to five decimal places.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4) - 5\/6)\/(((-432)\/81)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 1.37, -3.9, 5, 91?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 46, 57, 70, 85, 102?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34786.\nAnswer: 2, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -13. Let n(h) be the first derivative of h**2\/2 + 6*h - 1727. Calculate n(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 5 = 9. Let z(d) = d + 4. Let n be z(j). Solve -g = 0, 5*t - 3*g = n*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -121 or -3387\/28?\nAnswer: -3387\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(8) + -3 + 0.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let x = y - 4. Let n be (3 - (-51)\/(-21))\/((-6)\/(-7)). Which is the closest to n? (a) -3 (b) 2\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -2. Suppose 0*p - 196 = -i*b + 2*p, 15 = -5*p. Let f = b + -2. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -51*z + 1. Let a be d(-4). Suppose 0 = -2*c + 113 + a. Suppose -5*n + 247 = -w, 0 = 3*n - 0*n + 3*w - c. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from lldnllndcc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q - q - 6*q + (0 + 2 + 0)*(5 - 5 - 2*q) + 4 - q - 4)*(27 - 32 + 16 + 19).\nAnswer: -480*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42671\/36432 + -166\/207. Calculate the common denominator of i and 107\/40.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 8 + -3)*2\/1. Let i be (14\/21)\/(z\/9). Solve -2*j**5 + 20 - 40*j - i*j**5 - 5*j**4 + 1342*j**3 + 5*j**2 - 1317*j**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/628074 and 121\/69786.\nAnswer: 628074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 7*r + 2. Let p = 57 - 39. Let c = -29 + p. Let g be c - ((-6)\/3 + -1). Calculate o(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14375 - 373847\/26. Let g = -72376\/13 + 5571. Calculate the common denominator of n and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {h: 5, j: 7, i: 1, l: 2, p: 4, c: 1}?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511723541 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 568 - 552 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/1284 and -137\/44592?\nAnswer: 4771344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p + 7. Let s = -2 - 1. What are the prime factors of u(s)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 16 - 5*k + k + 18. Let i be x(-5). What are the prime factors of (-291)\/i - (3 - 0)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -16d90?\nAnswer: 16d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hdqdqdhndn?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(931) + (sqrt(931) - (sqrt(931) + sqrt(931)*-2 + 2)) + sqrt(931) + -3 + sqrt(931)*4)**2.\nAnswer: -1680*sqrt(19) + 178827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5459296000 to the nearest 1000000.\nAnswer: -5459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 64*k**2 + 10*k - 321. Determine a(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 16 - 3)*(-5*p - p**4 + 5*p) + 0*p**2 + 0*p**2 + 2*p**4.\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*m + 14, 4*l - 27*m + 25*m + 10 = 0. Which is the closest to -4? (a) -0.6 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 75, 132, 221, 354, 543?\n\"Answer: 2*p**3 - 2*p**2 + 29*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -142068 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8181 is divided by 430?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 6:25 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115 or -35.221?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9475 + 9479. Put -369, c, -2, -3 in descending order.\nAnswer: c, -2, -3, -369","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*g**2 + 14*g**2 + 3*g**2)*(0 - 5 - 2) + 7*g**2 - 3*g**2 + 4*g**2)*(-4 + 0 + 2) to a*g + f + r*g**2 and give r.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-7)*(2982\/(-4))\/(-71).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89e4 + -2?\nAnswer: -89e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 0. Let c = i + -7. Suppose -3*t - 44 = -5*t. What is the remainder when t is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-25))\/(-11))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8287\/4 + -2088. Find the common denominator of -43\/2 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/((-3920)\/(-60))*(-12)\/(-1)*(-5)\/(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1371204 and 2894764?\nAnswer: 26052876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - a**4)*(3*a - 5*a + 4*a + (3 - 3 + 6*a)*(-2 + 5 - 6)).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 963984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - s - 3)*(-2*s**3 + 5*s**3 - 4*s**3) - 2*s**4 - 1 + 1 + 19*s**4 + s**4 + 5*s**4.\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, -4, 0.4, 1\/270 in descending order.\nAnswer: 0.4, 1\/270, -0.1, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -11, 0 in decreasing order.\nAnswer: 0, -11, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6129 - 37091\/6. Let d = q - -53. Let i be (0 - -1)*(-2 + 2). What is the second smallest value in d, i, -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -36, -57, -96, -159, -252?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1) + (3 - 6) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73366.\nAnswer: 2, 36683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0*r**2 + r**2)*(-2*r**2 + 2*r**2 - r**3 - 6*r**3 - 19*r**3 + 13*r**3 + (r**2 - r**2 + r**2)*(0 + 2*r + 0)).\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 9*a + 3. Determine r(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 6675*f + 1820230.\nAnswer: 5*(f - 953)*(f - 382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a + 1. Let o(b) = 567*b - 2 - 572*b + 1. Let u(n) = n**2 - 5*n - 24. Let q be u(10). Let h = -20 + q. Determine h*x(j) + 7*o(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**2\/3 - 542476*c\/3 + 361656 = 0. Calculate c.\nAnswer: -135621, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjyjyssyjjjjbjjyjj. What is prob of picking 1 j, 1 s, 1 y, and 1 b?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27580 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2. Let o(t) = -10071*t. Give o(c(n)).\nAnswer: 20142*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10443 - -167187\/16. Let k = 28 + -23. What is the common denominator of 110*k\/40 - 0 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1*x)**(2\/51)\/(x*(x**(3\/4)\/x)\/x*x*x*(x*x**(-5))\/x) assuming x is positive.\nAnswer: x**(229\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 5. Let c be j(-5). Suppose m - 23 = 4*r, -r - 4*r - 2*m - 45 = c. Let l(f) = f + 9. Let z be l(r). Solve 3*d = 5*x - 13, x = 4*x + 4*d - z for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 10*t + 1\/3*t**3 + 9\/2*t**2 - 1. Let s be l(-8). Solve j = s*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c + 22. Let u(w) = -w**2 + 8*w - 3. Let r be u(7). Let o be 2\/r*(68 + 2). What is the greatest common divisor of c and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*r**3 - 2542*r**2 + 2542*r**2 + (2*r**2 - 6*r**2 + 2*r**2)*(0*r + r + 0*r) to the form f*r**3 + g*r + s + z*r**2 and give f.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**2 + l - 1. Suppose 0 = -29*j + 34*j - 10. Calculate k(j).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.9. Let z = -1.1 + 1.3. Which is the smallest value? (a) z (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774844.\nAnswer: 2, 7, 27673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 576040*j - 576092*j + 0 + 0. Let b(p) = 3*p - 12. Let k(r) = -r + 5. Let q(o) = -5*b(o) - 12*k(o). Determine w(q(a)).\nAnswer: 156*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 4*o + 1. Let r be g(-6). Let a be 2\/r*(-5 - -6). Put -0.1, -5, a, 2\/11 in increasing order.\nAnswer: -5, a, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 5}. Give prob of sequence zbbz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 23, -4\/5, -8, 0.5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2716522 divided by 2716522?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53100334 and 18964405?\nAnswer: 265501670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(117) - (-5*sqrt(117)*1)**2) + (-3*-2*sqrt(117)*-2)**2.\nAnswer: 3*sqrt(13) + 13918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 451, 692?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -w, -5*w + 0*w + f = 0. Suppose -15 = -3*a - w. What is the least common multiple of a and (-76)\/(-6) + (-135)\/81?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, h: 6}. What is prob of picking 3 h?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 50 = 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.93 - 1. Let j = 11.93 - k. Let r = j + -11.999912. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 18.5?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-4)*h)\/h**(-2\/3))\/(h**4*h\/(((h*((h**3*h)\/h*h)\/h)\/h)\/h)))**(-4\/17) assuming h is positive.\nAnswer: h**(52\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 7*i**2 - 11*i + 2. Let l(x) = -30*x - 2633. Let b be l(-88). Determine j(b).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 - 16 = 0. Let i(p) = 2*p - 4. Let n be i(w). Let y be -2 - 0 - n\/2. Solve 0 = 5*r - 5*h + 6 + 4, r + y*h + 2 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2393106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -284*b + 11625. What is o(41)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12*y**2 - 114*y - 29. Determine a(-10).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9458 - -2.0001. Round d to 2 decimal places.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 + n - 9. Let a = 13 + -4. Let b be d(a). What is b rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52 + -3964?\nAnswer: -3912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6780 and 175920?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 95)*2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 10:37 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 787610 or 787614?\nAnswer: 787614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 257 = -3*v + 6*v, -4*s + 42 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1250 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 553132616?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w + 3. Let t be q(-4). Let c be (0 + 4)\/((-20)\/10). Let y be 5\/10 - c\/(-8)*22. Put -2, y, t in increasing order.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-22) - 43904\/(-6160)) + (-11 - -3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-27) + (-62)\/(-18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3978*i + 1632*i - 8126*i in the form x*i + v and give x.\nAnswer: -10472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2) - (-9 - (0 - 5))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18 - 0\/(-1) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 2, 15974, -3 in descending order.\nAnswer: 15974, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121235592 is divided by 90?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - x. Let m(b) = -b**3 - 4*b**2 + 16*b - 8. Let w(l) = 6*i(l) + m(l). Let j be w(4). What is the fourth smallest value in -0.4, -4, j, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a - 65*a + 28*a + 299 = 103 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 0.044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -821*p + 825*p + 44 = -36*d, -2*d = -2*p - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*11370499\nAnswer: 56852495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21a365 + 10?\nAnswer: -21a355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 4*h - h + (98*h - 11*h - 32*h)*(0 + 0 + 1) - h + 2*h + h - h + 0 + 0 + (-4*h - h + 15*h)*(-3 + 4 - 3) to j*h + i and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 222*k**4*y - 3*k**3 + 13*k**2*y**2 - 17*k*y**2 + 207348*y**2 wrt k.\nAnswer: 2664*k**2*y - 18*k + 26*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -2*u, 13700*u - 13696*u = 2*d - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 565.30783 to one dp.\nAnswer: 565.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3679 and 44431.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:41 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/385*165\/7854*17?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1252094 and 1082558.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 132*n**2 + 0 + 0*n + 1\/24*n**4 + 2*n**3. What is o(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 928605 * -32.9.\nAnswer: -30551104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + (2 - -7) + -7 - 7) + 24.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3571293 or 3571294?\nAnswer: 3571293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) + 183\/9. Suppose -w - 46 = -5*h, -7*w + 2*w + c = 0. Let s = h + -4. 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: Product of 216 and 292.\nAnswer: 63072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - u. Let r(g) = g. Let t(l) = l**3 - 6*l**2 - l + 8. Let p be t(6). Let m be r(p). Calculate b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 446 + -499. Is -51 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 43. Let p be a(9). Differentiate -90*t + 99*t + 6*t**2 + p + 89 wrt t.\nAnswer: 12*t + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*t - 9, 2*k - 2*t = 2*t - 8. What are the prime factors of (69\/(-46))\/(k\/1396)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jztqyqqzvyyyzyytyzyv. Give prob of sequence tqvv.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13796 divided by -46529?\nAnswer: -13796\/46529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1020342133 - 1?\nAnswer: -1020342134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/368 and -67\/58.\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 14*o - 3. Let q be r(4). Suppose b - q + 4 = 0. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 10:53 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31520 is divided by 7871?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-116 - -106)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 352736692 divided by 654428.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**5\/5 + 278*s**4\/5 + 1764*s**3 + 24812*s**2\/5 + 24266*s\/5 + 7998\/5 = 0?\nAnswer: -93, -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -127?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*d**3*l*t**2 + 232*d**3*l*t + d**3*t**2 + 111*d**2*l*t - 1290*d**2*t**2 wrt d.\nAnswer: 264*l*t**2 + 1392*l*t + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548 - -8224\/15. Which is the smallest value? (a) 0.2 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**6\/60 - c**5\/60 + c**4\/12 + 3*c**2. What is the remainder when 14 is divided by j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7369*l**4 - 7368*l**4 + 14732*l**4 - 14 + l to s*l**2 + b*l**3 + h*l**4 + q*l + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 0 + 0 - 2 + 2 + 2*i + (i + 0*i - 2*i)*(-2 + 0 + 3) - 118*i - 75*i - 94*i - 64*i.\nAnswer: -352*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by 2?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14939773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3272 + -2984. Calculate the smallest common multiple of v and 792.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/8 + 42*y + 3528 = 0.\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2257 + 883. Let r be 2\/(-8) + x\/(-8). Let z = -4 + r. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106184539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 55*g**2\/2 + 39*g - 17. Let q be m(-5). Is 10 a factor of 0\/(-3) - 7\/(7\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from attjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 526170*h**2 - 10*h - 35020369 wrt h?\nAnswer: 1052340*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 5*r. Suppose r = -2*c + 3*c - 53. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - ((0 + 1)\/1 + 2). Let o be (7\/(-3))\/((-9)\/108). Solve 0 = 5*t + x - 28, 4*t = -d*x + o + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/56658 and 76\/3417?\nAnswer: 64533462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 3\/25, -379?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00112209496 to seven dps.\nAnswer: -0.0011221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 107 and 10486?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x**2\/2 + 767. Let a(m) = 12*m - 3*m - 7*m. Give a(p(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4720 and 66?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 5*x - x + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 - 4*o**2 + o + 0*o**2. Let t(v) be the first derivative of -16*v**3 + 22*v**2 - 23121. Give 2*t(s) - 88*u(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/p**37*p))\/p**(-33))\/((p\/((p\/(p*(p\/(p*p\/(p**(-15)*p)))\/p))\/p)*p)\/p*p**(11\/5)\/p))**(-18) assuming p is positive.\nAnswer: p**(-7452\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:56 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -128. Let d = 95\/4 - 157\/12. Calculate the common denominator of d and y\/(-9) - (-16)\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*j)*((0 - 1 + 2)*(3*j - 4*j - 5*j) + 2*j - 4*j - 2*j).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/60 - 7*v**4\/24 - v**3\/2 + v**2. Let b be t(-6). Suppose b*g + d - 19 = 3*d, -27 = -4*g + 3*d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 208, 325, 462, 625?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*y - 2)*(2*y**2 + 0*y**2 - y**2) + (-4*y**3 + y**3 + 4*y**3)*(-3 + 1 + 3) as f*y**3 + t + h*y + c*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 11. Solve -4*q + i = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 3, j: 3, q: 1, n: 2}. What is prob of picking 1 q, 1 g, and 1 j?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 153 = -x - 161, -14*x - 4*t = -12*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 2*v**2 - 23*v - 43. Let x be a(-2). Sort x, -6, 4, -1\/2 in descending order.\nAnswer: x, 4, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -73. Suppose 4*b - d = 15. Solve 2*m - 14 = -b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*4 - -1*sqrt(133)*-4)\/(4*-1*sqrt(343)*-2).\nAnswer: 5*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71)\/(-142)*4\/7*(308\/144)\/(-11)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 156617*o**2 - 313225*o**2 + 156616*o**2. Let b(c) = 25*c**2 + 4*c. Calculate b(y(r)).\nAnswer: 1600*r**4 + 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*g + 5, 35 = 4*j - 5*g - 0*g. Suppose 1 = 16*f - j. Which is smaller: f or 9\/13?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/28 - 130*r**3\/21 + 131*r**2\/14 - 1734. Solve q(p) = 0.\nAnswer: -131, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3574555*0.4\nAnswer: -1429822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*r - 24 = 0, -2*v + 24 = r + 16. Solve -v*h = 4*a, 3*a + 6 = h + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 + 3. Let x = -28 - -19. Let w = -11 - x. Which is the nearest to p? (a) w (b) 2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -4, 8.47, -5, -24, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 534?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 29 - 11) + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 plus 17.1?\nAnswer: 545.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9620*c + 16 = -9624*c, -2*j - 2*c - 13 = 37 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -311582526 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.24555 - 7.91692. Let r = o - 16.32. What is r rounded to 4 decimal places?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**22\/(r**(-6\/19)*r*r))**(-6))**(-38) assuming r is positive.\nAnswer: r**4632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56215*p*v**2 + 80855*p*v wrt v.\nAnswer: -112430*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 4378*f + 87952. Give g(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:23 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39194782 take away 31?\nAnswer: 39194751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.4, -16, 22 in descending order.\nAnswer: 22, 2\/13, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27039076 to the power of 1\/3, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -5. Let i(h) = -11 + 0 - 5*h + h. Let n(w) = -6*w - 16. Let z(k) = -7*i(k) + 5*n(k). Let m(o) = -2*o - 4. Determine l*m(s) + 5*z(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000985 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 4*o + 448 = -8*b, -o = -5. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1 + -1)*-1. Let d(x) = 172*x + 172*x + 180*x + 1 - 526*x. Give d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*b - 6. Suppose 5*r + 0 - 10 = -4*k, 0 = 3*k + 3*r - 6. Let h be 4\/(-6) - (480\/9)\/(-5). Solve 0*f + 2*f - x - h = 0, 3*f - b*x - 15 = k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 21*5\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3441.517ng to micrograms.\nAnswer: 3.441517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -193592 and -0.3?\nAnswer: 193591.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**4 - 230588*y**3 - 208*y**2 + 975768*y - 200 wrt y?\nAnswer: 36*y**2 - 1383528*y - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3 - 3 + 2*u + 3*u - 3*u + (-2*u + 0*u + 3*u)*(4 + 1 - 3) - u + 2*u + u)*(698 + 671 - 1476).\nAnswer: -856*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32688 + -4?\nAnswer: 32684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3709\/20, -11, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107501, -214991, -322481, -429971, -537461, -644951?\nAnswer: -752441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2507 + 2509. What is the third smallest value in -4, s, -61?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12986470.\nAnswer: 2, 5, 7, 17, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 2*b**2 + 8*b + 3. Let i be t(-3). Let q be (-66)\/i + 2\/5. What is the units digit of 22\/(2\/q*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + 171\/((-29241)\/10146)?\nAnswer: -70\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 800654300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1838 (base 15) to base 11.\nAnswer: 3a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 + -16. Suppose 4*v - 73 - 7 = y. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 103*t + 6. Determine h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttsudududre. What is prob of sequence su?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -306746, -306747, -306748?\nAnswer: -306749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyu when three letters picked without replacement from pyuyfffyfjjppfpf.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 312294797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*y = -4*j, -3*j = -3*y - 24. Which is the nearest to 2\/9? (a) 2\/3 (b) j (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**6\/36 - 7*x**5\/24 - 5*x**4\/6 - 13*x**3\/6 + 11*x**2. Let b(h) be the first derivative of i(h). Factor b(y).\nAnswer: 5*(y - 4)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3\/6 + 3*h**2 + 3466*h - 2. Suppose 0 = b - 3*b + 2. Let y(c) = b - c - 5 - 3 - c. Determine -4*v(f) - 3*y(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 + 16634?\nAnswer: 1660a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31827739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 620?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -4. Suppose 2*l + 0 = -3*k + 3, 3*l + 21 = 4*k. Suppose 3 = k*a - j. What is the remainder when 13 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 39*j + 169. Let r(s) = -s**2 + 39*s + 169. Let a(q) = 5*c(q) - 6*r(q). Let m be a(43). Solve -4 = m*y - 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + ((-644)\/(-21))\/(2\/3). Solve f - 53 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 109?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9710*z + 296582 = 14572*z for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1316\/190 - (-112)\/70. Let u = j - 982\/133. Factor -u*t + 12\/7*t**2 - 4\/7*t**3 + 0.\nAnswer: -4*t*(t - 2)*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 65*q - 440. Let c be x(-8). Solve 132 = -38*s + c*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/13))**45\/((j\/(j**20*j))\/(j\/(j**(-2)\/j))) assuming j is positive.\nAnswer: j**(402\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.7. Let a(q) = -28*q**2 + q. Let j be a(-1). Let v = j - -89\/3. Which is smaller: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 13*u - 21)*(-7*u + 0*u - u + 2 + u - 2 + (-5 + 3 + 0)*(-3*u + 0*u + 2*u)) as c + q*u**2 + d*u and give q.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17792767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*b - 5*b + 16, 4*l + 22 = 5*b. Suppose -5*w = -2*p, 3*p + 2*w = 12 + 7. Solve -2*a = 1 - p, 5*a - 4 = -b*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 + 6. Let t = -80 + 6323\/79. Which is the closest to 0? (a) -4 (b) t (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 49. Let l = 11 - c. Let d = 30.2 + l. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15 + -12 + (1 - -784). Suppose f + 2*s - 396 = 0, 2*f - 28*s + 31*s - j = 0. What are the prime factors of f?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2856531045 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*t**3*x**2 + 66*t**2*x**2 - 2*t**2*x - 2*x**2 wrt t?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/5)\/m)\/m)**(29\/4)*(m*m**17*m)**(-2\/25) assuming m is positive.\nAnswer: m**(-1747\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, -6 in increasing order.\nAnswer: -6, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiikukk. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 6:40 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579 - -491.6. Round r to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 2*z**2 + 6*z - 17. Let v(m) = -3*m**3 - 6*m**2 + 11*m - 34. Let u(l) = 5*o(l) - 3*v(l). Calculate u(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 838 = -50*k + 2038 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*o - 639*o - 5616 = 38*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 31467065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 q when four letters picked without replacement from qqsqsq?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfm. What is prob of picking 1 f and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 + -58009\nAnswer: -58008.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(208)*-3 + -4.\nAnswer: -24*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 15322, -5, 1 in descending order.\nAnswer: 15322, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -3. Let b = n + -13. Sort b, -1, 4.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-2)*-7*26\/13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1229\/98737?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1008*m - 3754. What is the hundreds digit of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (270\/27)\/(10\/(-4) - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 31*v**2 + v - 42. Let j(a) = 29*a**2 + a - 40. Determine -6*j(y) + 5*w(y).\nAnswer: -19*y**2 - y + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 325793 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 114845233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 22?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -346, -321, -276, -205?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.5 (c) 807202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 13\/2*s**2 + 7\/6*s**4 - 33*s + 0*s**5 + 1 + 1\/10*s**6 + 0*s**3. Differentiate i(m) wrt m.\nAnswer: 12*m**3 + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 6*k**2 - 2105*k + 10549. Give z(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -0.9656?\nAnswer: -28.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6371391935 to the nearest integer?\nAnswer: 1854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(175) - sqrt(175)*-3*-3).\nAnswer: -200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429676 is divided by 357411?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73055489 to the power of 1\/2, to the nearest integer?\nAnswer: 8547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert 427.5877ng to grams.\nAnswer: 0.0000004275877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 3293 + 533 = 48*p + 345 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32880*a**5 + 63*a**4 - 32608*a**2 + a + 1.\nAnswer: 1972800*a**2 + 1512*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*y = -1172, -4*h = 12*y - 8*y - 912. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87.88 - 90.8802. Let n = 0.1 + -3.1. Let c = d - n. Round c to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1830\/40 + (-2)\/(1*-8). Let p = -2 + h. Solve p*x = 40*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63857*w**2*x**3 - 47479*w**2*x**2 - w**2 + w*x**3 + 12*w*x - 89*x**3 + 8*x wrt x.\nAnswer: 383142*w**2 + 6*w - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -4. Let p be (-12)\/(-9) - (-4)\/6. Sort -5, p, i.\nAnswer: -5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -24*x - 58 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**5 - m**4 - 2*m**3 + 6*m**2 - 5*m - 5. Let j(c) = 7*c**5 + 2*c**4 + c**3 - 7*c**2 + 4*c + 5. Let o(x) = -3*d(x) - 4*j(x). Factor o(w).\nAnswer: -(w - 1)**2*(w + 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11339239?\nAnswer: 1051, 10789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/l**(-1)))**(-1\/29)\/((l*l**(1\/6)*l)\/l**(-2\/19)))\/((l*l*l\/(l\/(l**1\/l)))**(4\/15)*(l**0)**(-10\/9)) assuming l is positive.\nAnswer: l**(-15077\/5510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.125, 34, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432402669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9606, 36270, 80716, 142950, 222978, 320806, 436440?\n\"Answer: n**3 + 8885*n**2 + 2*n + 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*c + 270. What is the lowest common multiple of 25 and c?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, j: 1, v: 1}. What is prob of sequence vjb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o + 61*o - 9 = 0, 2*i - 6 = 2*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3818302793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15650346 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -26.6. Suppose 20*t + 90 + 10 = 0. What is the fourth biggest value in t, 1\/6, 5, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -8 - (20 + -17 + -6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 4, -2, -2, 10, 40?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 5057\nAnswer: -5057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25840 divided by 680?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-42))\/(5*(-138)\/(-3220))*288?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 1*(2 + 0). Let k be ((-1 - 222\/(-82)) + -2)\/2. Which is smaller: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6873, 6880, 6889, 6900, 6913, 6928, 6945?\nAnswer: 6964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110011 (base 2) to base 11\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57474633935369 + -0.4.\nAnswer: 57474633935368.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 88. Let d(i) = 2*i + 3. Determine 2*d(b) + 2*n(b).\nAnswer: 2*b - 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 23231424340?\nAnswer: 23231424333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 836998 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/3577 + 71522\/32193. Let j be ((-2)\/1)\/(-5 + 3). Which is greater: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1045 and 262466?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + (sqrt(1088) - (sqrt(1088) + -1*sqrt(1088))) + -3 - -1*(-4*(sqrt(1088)*1 - sqrt(1088)) + sqrt(1088))))**2.\nAnswer: -32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 119*k + 117*k - 234*k - 4*d, -3*k + 20*d + 15 = 25*d for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*c + 4, -5*x - c + 7 = -0. Let t(u) = -4*u + 3*u - 4*u**2 + 5*u**2 + x. Let b be t(-2). Solve -b = -0*o + 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 4:59 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 5, -32, 32, 2, -5 in increasing order.\nAnswer: -32, -5, 2, 5, 29, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 603 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814811227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9500, 9488, 9476?\n\"Answer: -12*a + 9512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -7*c - 5*v + 10, -5*c + 65 = 15*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t - 16*t + 16*t - 6*t**2 - 8. Suppose -5*k = -5*b + 70, 0*b + 2*k + 10 = b. What is the remainder when n(6) is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -187957?\nAnswer: 56387.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4057174978 to the power of 1\/2, to the nearest integer?\nAnswer: 63696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -1*44\/20. Let b = -3 - 2. Let l = -2.03014 + 0.03014. Sort b, p, l, -3 in decreasing order.\nAnswer: p, l, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155777696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 24 = 4. Suppose 190 = 5*o - v - m*v, o + v = 38. What is the remainder when o is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvssjkv. What is prob of picking 2 v and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + -216?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -224073792*w**4 - 1773405936*w**3 - 3937953756*w**2 + 169390225*w\/3 + 17636910227\/3 = 0. Calculate w.\nAnswer: -2603\/876, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 17*p - 315. Are p and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11448 divided by 318?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -17. Suppose -k*f + 12 = -48. Let w(u) = 2*u**2 - 26*u + 29. Calculate the remainder when 16 is divided by w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -27. Suppose -8 = 2*n - w*n. Which is the nearest to n? (a) -0.5 (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 26 - 2*l**2 + 20 - 54 + 0*l**2. Let i(c) = c**2 + 2*c + 10. Let o(h) = -3*i(h) - 2*q(h). Determine o(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 3:18 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 4 + 20. Let p be -1 + 1 + (-3)\/6*j. Suppose 264 = l + p*v, -4*v + 523 = 2*l + v. Round l to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 408 and 2852634.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/19 (b) -4 (c) -1472752 (d) -2\/7 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(190)*2)\/(-2*sqrt(10)*-5))**2 - (((1*sqrt(684) + sqrt(684))*-4 - sqrt(684))**2 + 3))*2.\nAnswer: -2770312\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + q + 98 = 3*r, -3*q = 5*r + 79 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*n + 32, 2*o - 5*n = 4*o + 12. Let y(t) be the first derivative of t**4\/4 - t**3 - 5*t**2\/2 + 4*t - 3. Let a be y(o). Sort -3, a, -2.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2 = -2*k, 4*k - 10 - 14 = -n. Suppose -9 = -n*x + 7. Let o be (-1)\/((-12 - -8)\/4). Sort x, -4, o in increasing order.\nAnswer: -4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (41*r**2 + 46*r**2 - 14*r**2)*(4 - 1 - 2)*(0*r - 3*r + 2*r) in the form s*r + k*r**3 + z + f*r**2 and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7517 is divided by 7448.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdxtdxtdxtddtxdtdd. Give prob of picking 3 d.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:29 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*i**2 - 48*i**2 - 9*i**2 - 6*i**3.\nAnswer: -6*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**5 - 19*j**3*z**3 + 38*j**2*z**3 - 5511*j*z**3 wrt j?\nAnswer: 20*j**3 - 114*j*z**3 + 76*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 852253203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 + -26)*(-1)\/2 - 4777*-2 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221402, 221404, 221406?\nAnswer: 221408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 26, 28, 30?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 86.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 + 5*i**2 + 40*i + 119. Is c(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42734 or -1239327\/29?\nAnswer: -42734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5204284 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -585 + 606. Calculate the remainder when 30 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-10))\/(2754\/(-510)). Let h = 9 - 8.3. Let r = -1 + h. Sort 9, -2, r, n in increasing order.\nAnswer: -2, r, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -15.\nAnswer: -61\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 7*p + 9. Let h be w(-8). Let k be -6*(-16)\/(-6)*-1. Let b be k*(9\/(-3) + 4). Are b and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7517084, 15034133, 22551182, 30068231?\nAnswer: 37585280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3698, 7703, 11710, 15719?\nAnswer: 19730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754676 to the power of 1\/2, to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27893604.1950271 - 4058039.1950681. Let k = u + -23835603. Let c = k - -38. Round c to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = a + 8, 2*i - 2 - 2 = -4*a. Suppose 8*t - 98 - 142 = a. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/166 and -77\/78.\nAnswer: 6474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(1\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 255*y**2 - 226*y**2 + 4 + 3*y**2 + 2 - 2 + (-y - 16 + 16)*(-4*y + 3*y + 2*y).\nAnswer: 31*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001101111101110 - 100?\nAnswer: -1000001101111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*j - 234. Calculate the remainder when 76 is divided by j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 8 + 27 - 6 = -5*o + 9, -m + 1456*o = 2*m + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 5)*(7*t**3 - 4*t**3 + 6*t**3)*(-3 - 3 + 0) in the form y*t + u + l*t**3 + h*t**2 and give l.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 15119.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -36936, 3 in increasing order.\nAnswer: -36936, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 364848 divided by 8\nAnswer: 45606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8109052 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: Let z be 4\/(20\/13) + 6\/(-10). Find the second derivative of -17 - 21 - 15*g**z - 3*g + 38 wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2) - 1*sqrt(2)*-2).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/3, 5156, -2\/19, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27385550?\nAnswer: 2, 5, 37, 113, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 9*m - 8. Let o be x(-3). Solve 0 = 4*r - o*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o. Let i(z) = 207056713*z. Determine i(c(l)).\nAnswer: 1863510417*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097952053?\nAnswer: 11, 199, 501577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 8846*k + 10075*k - 7585*k in the form c + l*k and give l.\nAnswer: 11336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 2 - 11\/(66\/(-996)). Let m = s - 2365\/14. Sort 2, 0.2, m.\nAnswer: m, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 33*g + 18 = 0. What is the third derivative of 0*j + 7*j**2 + 0*j + 7*j**2 - 17*j**g wrt j?\nAnswer: -2040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-2) + (1 - 0). Let o(n) = n**3 - 11*n**2 + n - 1. What is the remainder when o(t) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4275 and 7875.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8478 is divided by 421.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17260 and 6349954?\nAnswer: 63499540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124351?\nAnswer: 1124351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107\/52 - -30\/13. Suppose 0 = -3*p - 0*p + 15. What is the nearest to -1 in p, z, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = -18512*i + 18449*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -0.2. Suppose 0*m + 10 = 2*m. Suppose 0 = 3*n + 4*s - 16, -3*n = -s - 1 + m. Which is bigger: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*n**2 - 3 - 10 + 124*n**2 as m*n**2 + t*n + r and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 118*o**2 - 233*o - 102. Let t be m(-116). Solve 982*v + t = 984*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -212?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 + (-2)\/(-2). Suppose 0 = -3*j + 4*q - 2*q + 14, -14 = -4*j - 2*q. Suppose 2*g - 2*k = 20, -j*g + 0*k = -w*k - 40. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74257.58m to centimeters.\nAnswer: 7425758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -141 (b) -2\/23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 4244?\nAnswer: -4244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*(sqrt(2) - (sqrt(16) - sqrt(64))\/sqrt(8))*-6 + 3 + -3 + -5.\nAnswer: -8 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23901398 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = q - 4, -o = -3. Suppose q*d = 7*d - 266. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147 divided by -38431?\nAnswer: 1147\/38431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 8. Let t = 12 - p. Sort -2\/9, -4\/9, t in decreasing order.\nAnswer: t, -2\/9, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9320242 years to decades.\nAnswer: 0.09320242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1872) + -1).\nAnswer: -2 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19575523\/521 - 37573. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - -94) + (-3 - 10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5 + 42946*v**4 + 230394500*v**3 - 1614436800*v**2 + 2306952000*v = 0.\nAnswer: -10740, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 765741917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (-8)\/5)*5. Let h(k) = -k + 0*k - j*k + 3*k. Give h(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 - 1) - ((11 - -10) + -20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 18*l**2 + 9*l**2 + 8*l**2.\nAnswer: 29*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13760600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b, -d + 4*b + 12 = 3*d. Let g(a) = a - 4. Let o be g(6). What is the third derivative of -u**3 - u**o + u**d + 2*u**3 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-175)\/30)\/7. Let z = -0.4 - -0.3. What is the closest to 1 in a, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128054753 less than -128054748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 132 = z + 14, 0 = 4*t - 3*z - 108. Solve t = -8*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 6. Let z(k) = k**3 - 14*k**2 + 328*k - 5744. Let c be z(16). Solve d = -m*d - c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*z + 73064836 + 16*z - 73064823)*(3 - 1 - 1) to the form h*z + b and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*y + 52*y - 23*y - 1 - 6*y**2)*(4*y**3 + 0*y**3 - 3*y**3).\nAnswer: -6*y**5 + y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 26*m + 2. Let o be g(-2). Let h = o - -53. Suppose -2*f - 4 = -4*z, -12 = -h*f - 0*z - 3*z. Solve 10 + 0 = -f*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1291 divided by 5.\nAnswer: -1291\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 14*j - 3*j**2 + 11*j.\nAnswer: -3*j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -39548.1037 rounded to the nearest 100?\nAnswer: -39500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -14. Solve -s - w*s = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c. Suppose -2*j = -c*j - 14. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 261 + -56. Let q be o\/10 + 6\/(-12). Which is smaller: 23 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 41*w = -425 + 961 + 2821, -4*w - 126 - 202 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -324*x**3 - 15553*x**2 - 46*x + 105. Calculate r(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*1 + -3.\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105075 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -2 - -2 - 2 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 + 9*o - 15. Let y = 14 + -10. What is the lowest common multiple of y and q(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10563.22 centimeters to meters.\nAnswer: 105.6322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 2:16 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 560.5 + -541. What is o rounded to zero decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2997, -3003, -3011, -3021, -3033, -3047?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62734 (base 8) in base 4?\nAnswer: 12113130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:29 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12d - -9b66b?\nAnswer: 9b798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 3\/5, -2, -2\/13, -5, 11248?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*433.\nAnswer: -8.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s - 2940 = -19*s. Let i be 1*14*(-300)\/s. Solve -10*p - i = 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318545295 to the power of 1\/3, to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -0.5, 114, 5?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -25.9999988. What is a rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 40\/11 (b) -4 (c) 67949\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4919 - 0.0919. Let x = -1.6 + 1.7. What is the closest to x in l, 3\/8, -3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -22)*(-2)\/(-6). Suppose -c - 3 = -2*y. Is 5 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3 + 64284946*q**2 + 175258035*q wrt q?\nAnswer: -6*q + 128569892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3 - 16*d - 7. What is the derivative of t(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721339 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**3\/2 - 26*c**2 - 38*c + 1. What is a(-21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*c = 59*c + 5. Differentiate 14*f**2 + c + 4 + 1 wrt f.\nAnswer: 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 5\/26 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1853281*s + 1853286*s - 3706545*s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 1225*a - 2430 = 0. Calculate a.\nAnswer: 2, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1568 + -1566. What is the nearest to i in -11, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/1931 - 1939\/7724. Which is smaller: -1509 or z?\nAnswer: -1509","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 43*j**2 - 86*j - 184. Give y(45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxdkedxx. What is prob of sequence ex?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 60*n**4 - 302*n**3 + 200*n**2 + 474*n + 72 = 0.\nAnswer: -4\/5, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0039164007 to 4 dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6392)\/119)\/((8\/24)\/(7\/(-3))). Which is smaller: q or 383?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 12 = 3*b - 5*f, 2*b = -4*f - 293 + 299 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o + 9*o - 63 - o + 5*o**2 + 3*o - 2*o**2 = 0. Calculate o.\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.257652mg to nanograms.\nAnswer: 3257652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/18 and 1\/(-3) + 1086\/(-260) + 5.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 + -2?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 2:32 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*6\/(-45)*(-117)\/(-39)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -7*x + 6*x. Suppose -21*q = -x*q + 4758. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1564 = 7*y - 746. Suppose j = -5*z - 0*z + y, -2*j + 630 = -5*z. Calculate the greatest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -13. Let q be (378\/49 - 6) + 4\/14. Solve 0 = -2*k - a*h - q*h + 4, -h = k - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 60*n + 35*n = -660, 2*b + 5*n - 143 + 176 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.15848 + -0.288293. What is a rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1432*v**2 - 24*v - 53. What are the prime factors of o(-2)?\nAnswer: 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4440 and 26?\nAnswer: 57720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305854.\nAnswer: 2, 23, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.4 - -2.6. Let q = s - 21. Which is the smallest value? (a) -2\/5 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -48. Suppose -w - 2 = -j. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/11*2\/(-3). Let x = -0.1522 - 0.3478. What is the closest to 1 in x, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {g: 3, q: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s)\/(s**(-18)*s)*s**(-18)\/(s*s\/((s*s**(-1\/14)\/s*s)\/s)) assuming s is positive.\nAnswer: s**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102613\/5 or 20524?\nAnswer: 102613\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159765 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 4 (c) -0.633\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 2. Let q(p) = -5*p - 11. Suppose -b + l + 6 + 9 = 0, -4*l - 38 = -2*b. Give b*o(v) - 2*q(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11599 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47154)\/1218 - -38) + (-50)\/(-119)?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 97, -4, -0.02, -8\/17?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*f = -109*f - 393370 + 392683 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3*3\/(-45)). Let b = z + 7. Solve -2*t - b*t = 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2658?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*k**2*y - 2559846*k**2 + 390*k*y - 26*y with respect to y.\nAnswer: 8*k**2 + 390*k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b + 14*b + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.04 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let y(f) = n - 5*f + 4*f + 0*f. What is the units digit of y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**8\/6720 - f**7\/840 + f**6\/180 - f**5\/30 - 5*f**4\/24 - 2*f**2. Let n(t) be the second derivative of l(t). Calculate n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/475*(-1480)\/(-16) - (9 + -1)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2572845.65 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, 13, 0.1, 0.2, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7753 (base 8) to base 7.\nAnswer: -14611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3908 (base 11) to base 16.\nAnswer: -13e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11814 - -41?\nAnswer: 11855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.028 - -0.0279852. What is k rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -113?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n + 4*n + 2*n + (0*n + n - 3*n)*(2 + 1 - 1).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13204059 - -1373\nAnswer: -13202686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286172.\nAnswer: 2, 29, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 18040832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 9*k**2 - 3*k)*(k**3 - 4*k**3 - 7*k**3) - 23*k**5 - 10*k**4 + 0*k**4 + 10*k**4.\nAnswer: -113*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 51, 128, 239, 384, 563, 776?\n\"Answer: 17*o**2 - 8*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Total of -0.03544 and 0.2.\nAnswer: 0.16456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*j**3 + 435*j**3 - 1338*j**2 + 8*j**4 - 133 + 898*j - 17 = 0.\nAnswer: -75, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 49056*f**2 - 73. Let o(i) = -12*i**2. Determine c(o(j)).\nAnswer: 7064064*j**4 - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 8, j + 3*s - 15 = -2*j. Let m(l) = 9*l**2 + 23*l - 13. Let n(r) = 5*r**2 + 12*r - 7. Let h(w) = 6*m(w) - 11*n(w). Does 6 divide h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 405.99999557 + -406. What is n rounded to 7 dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 17*k - 103. Determine n(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*o + 4*o. Let f = -20 - -24. Solve o*p = f*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 3. Let c be b(-4). Let x = -69 + 71. Solve x - c = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/624 and 151\/144.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3180)\/(-135) - 8\/((-504)\/(-35)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 10:04 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1729, -3540, -5355, -7174, -8997, -10824?\nAnswer: -12655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -90*a**2. Let f(i) be the first derivative of 22*i**2 - 4072. What is f(r(w))?\nAnswer: -3960*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1549440 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 0*w - 3*w. Suppose 3*g + 2*n - 4 = n, g + 3*n + 4 = 0. Let l(k) = 2*k - k - g*k. Calculate l(b(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/2*(-108)\/(-189). Let i(o) be the third derivative of 1\/240*o**n - o**2 + 0*o + 0 + 1\/16*o**4 + 1\/40*o**5 + 1\/12*o**3. Factor i(z).\nAnswer: (z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = m, l + 2*l + 30 = 3*m. Put l, 4, -2 in increasing order.\nAnswer: l, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - m**2 - 15*m + 10. Let q be z(3). Is (-5)\/q + 106456\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5080352 centuries in years?\nAnswer: 50.80352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31876678.\nAnswer: 2, 179, 89041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(60\/81))\/(7\/(-5)). Is 2 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1585 - -2?\nAnswer: -1583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 59\nAnswer: -18\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 242.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 11:41 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 2753*x - 203410. Determine f(72).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5712 - 3013. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 1\/40*z**5 + 7\/8*z**4 + 0*z + 32*z**2 + 49\/4*z**3 + 0. Factor m(g).\nAnswer: 3*(g + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 620 (b) -4\/3 (c) 4 (d) 2 (e) 5 (f) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (153 - 159 + 2*y**4 + 4*y**4)*(3*y - 4*y + 0*y).\nAnswer: -6*y**5 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38269.\nAnswer: 7, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-60)\/13)\/(-2) - 2. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**3 + 120*d**2 + 105*d - 230 = 0.\nAnswer: -23, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/12)\/((-5)\/15). Calculate the smallest common multiple of 108 and (-18 - (n + 0))\/(-2).\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1db - 5f?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 910*j + 777*j - 570*j. Is b(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 387 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*(-5)\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-14)))**(1\/8))**(22\/3))**(2\/3) assuming c is positive.\nAnswer: c**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 173940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -17*r**5\/20 - 61*r**4\/12 + r**3\/3 - 40*r + 102. Let k(n) be the third derivative of c(n). Differentiate k(j) wrt j.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c1 - -1?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 32*f**2 - 19009*f + 94375. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wagawawgfawt. Give prob of picking 1 w and 2 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, 0.68 in decreasing order.\nAnswer: 4, 2, 0.68, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4451\/6 smaller than -95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 1463*t + 0 - 1458*t + 0 - 1.\nAnswer: 5*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -5, 14, 47?\n\"Answer: 7*n**2 - 16*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (103\/412)\/((-1)\/(-14)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 4:09 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4257 and 110?\nAnswer: 42570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12894420841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -38*b**2 + 4*b - 1. Let o(f) = f. Calculate 4*o(h) - z(h).\nAnswer: 38*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 1658 - 349 = 0. What is the third smallest value in 0.1, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 63, 141, 251, 393?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19515631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0144927 to 5 dps.\nAnswer: -0.01449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(-5 - 12964\/(-2592)). Let u = -212 + m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 211627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 36899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 9*n - 8*n + 19 - 23 = 0, 15*f + 81 = -6*n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.418502s to minutes.\nAnswer: 0.1236417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*9\/6 + (-35)\/(-5). Is 5 a factor of -5*(i\/1)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -352. List the prime factors of u.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 - 3*h - 4. Suppose -3 = 4*c + 17. Let r(x) = -x - 1. What is c*r(q) + u(q)?\nAnswer: -2*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:20 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.22 and -4.2669352733.\nAnswer: -4.4869352733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416306 (base 7) in base 14?\nAnswer: 1c276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(128\/(-32))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 72 (b) 3\/8 (c) -22 (d) 9 (e) 0.2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2412 + 1250 = 3*w - 5*f, 4*f = 4*w - 4872. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0*q + 0*q + 0 + 0 + 2*q + 4 + q - 4 + 4*q - q - q + (-3*q + 2*q + 2*q)*(2 - 1 + 1) + 0*q + 2*q + 0*q + 11*q + 72 - 77 + 57 + 2*q - q - 3*q.\nAnswer: 17*q + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0904374372 + -11.\nAnswer: -11.0904374372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 7*v - 4*i + 13, 4*i = 5*v - 11. What is the third derivative of -2*b**2 + 14*b + 27*b**3 + 18*b - 18*b + 56*b**v wrt b?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 90 = -13*o - 254. Let t be ((-40)\/6)\/1*-90. Calculate the common denominator of (-2)\/o*t\/45 and 32\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/216*8\/14)\/((-10)\/7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 13, -2\/115?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2 + 5*q + 10. Let o(z) = 15*z**2 + 7*z + 14. Let i(v) = -5*o(v) + 7*s(v). Factor i(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -0.0213, 3\/8, -2, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 177*f = -173*f - 75, 3*p + 3*f - 27 = 21 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + s = -1560. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z. Let q(u) = 4526*u. Determine q(l(v)).\nAnswer: -40734*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 4*w**2 - 2. Let u(r) = 4*r**3 - 7*r**2 + 4. Calculate -2*u(m) - 5*x(m).\nAnswer: 2*m**3 - 6*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3502566, 3502564, 3502562, 3502560?\nAnswer: 3502558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 = -5. Let z(s) be the third derivative of -2*s**2 + 1\/6*s**3 - 1\/60*s**q + 0 + 1\/120*s**6 + 0*s - 1\/24*s**4. Factor z(g).\nAnswer: (g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12804805?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 16. Let p be g(-14). Let z(j) = -2*j**2 + 17 - 40*j + p*j**2 + j**3 + 38*j. What are the prime factors of z(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19 + -13 - (8 - -1)\/3. Let a(d) = 4*d**2 + 11*d + 1. Let c be a(-3). Solve -1 = -c*l + p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -399.6 + 401. Let g = f + -1.1. Sort g, 3, 20 in increasing order.\nAnswer: g, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y + 42*y = -117 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*n**3*z**3 - 3*n**3 + 11*n**2*z**2 - n**2*z + 18*z**6 wrt z.\nAnswer: -54*n**3 + 2160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 1. Let w be (-1264)\/42 + (-2)\/(-21). Let d be 14*(-5)\/w - (-3)\/(-9). Solve d = f*x + 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 540?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*p - 381*p - 18*s + 24*s = 25, -25 = -5*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/(-3))\/(1\/(-3)). Suppose 4 = 3*d - z. Suppose 2*i = -3*k + 11, 5*k + 3*i - 12 = d. Solve 25 = 4*j - 3*t, 3*j - t + 4*t = k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13123043 + -222?\nAnswer: -13123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2178511\/5 + 437635. Let k = l + -1924. Which is smaller: k or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*14.\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-53)\/(-5) - (-14)\/35. Suppose 12*v = m*v + 5. Determine n so that 58*n**5 - 61*n**v - n**3 + 9*n**4 - 5*n**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -5, 0, -20, 2, 1, 55 in descending order.\nAnswer: 55, 21, 2, 1, 0, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1 - (0 + 5)). Let s(g) = -4 - 30*g + 6*g + k. Is 24 a factor of s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/f)**(-15))**(30\/7) assuming f is positive.\nAnswer: f**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqmmmqmmqqmmmmqm. What is prob of picking 2 m?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 169261549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18512, 18440, 18368?\nAnswer: 18296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3 - (0 + -3). Let x(z) = -z**2 - z - 1. Let w = 4 + 1. Suppose -9 + 39 = w*y. Let d(m) = -m**3 + 5*m**2 + 5*m + 6. Give h*d(a) + y*x(a).\nAnswer: -a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24 and -169.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 19119?\nAnswer: -152952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-2)\/(-9) - -1. Let v = 11 + -7. Let b = v - 3. Which is greater: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -407 and 268.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -3247 = -3247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.575 and -0.5?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26163?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/2)\/(15 - 17). Suppose 6*h = -s*h - 144. Does 27 divide h\/(-6) + (-208)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/(w\/w**(-1\/3)))\/(w\/(((w\/w**3)\/w*w)\/w))**19 assuming w is positive.\nAnswer: w**(-241\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/(-3 - 1). Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-243 - -215) + -7 + 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 15*d**3 + 11*d**2 + 5. Suppose 0 = -43*s + 12*s - 248. Let n(z) = -23*z**3 - 17*z**2 - 8. Calculate s*i(b) - 5*n(b).\nAnswer: -5*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (4\/(-2) - 14\/14). Let z be (m\/3)\/(4\/12). Solve -z*h = 2*o + 14, 2*h - 3*o - 2 = -0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*l + 161 = -749 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000022608768 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vppvvppp. What is prob of picking 1 p and 1 v?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r - 240 = 100*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*g - 17*g - 20*g + 101802*g**3.\nAnswer: 101802*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 - 3*m. Let u be l(5). Let i = -37 - u. Calculate the remainder when 55 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125\/25)\/((-1)\/4*-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -38328 equal to -38206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23 and 685902209?\nAnswer: 685902232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -2.9, 0.01, 140\/3?\nAnswer: 140\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31802 - 3?\nAnswer: 31788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.4 + 4.4. What is the nearest to u in 0, -4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, v: 2, c: 1, a: 3, r: 6}. Give prob of picking 2 r and 1 c.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/7326 and -151\/1998.\nAnswer: 21978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -10*p**3 + 4*p**2 + p - 4. Let s be (-5)\/((-10)\/(-4)) - 1. Is k(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 + 13*b**2 - 19*b + 3. Let k(j) = -2*j**3 + 6*j**2 - 9*j + 1. Calculate 13*k(a) - 6*y(a).\nAnswer: -2*a**3 - 3*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152.8 + -82.2. Let m = -3.6 + i. Let z = 69 - m. Sort 0.1, -1, z.\nAnswer: -1, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 344 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 6*i - 3. Let n be v(-7). Let t be (-7810)\/(-130) - (-2)\/(-26). What is the greatest common factor of t and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(8*q**2 + 4*q**2 - 3*q**2).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1322, 1335, 1362, 1409, 1482, 1587?\nAnswer: 1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + 1. Calculate the common denominator of z + -4 + 210\/(-44) and -121\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7673993 - 1?\nAnswer: 7673992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**5\/15 + v**4\/12 + v**3\/9 - v**2\/6 + 235. Suppose z(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1) + 0\/(-3). Suppose -5*n - 46 + 136 = 0. Suppose c*i = -6*i - n. What is the nearest to -1\/4 in -5, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345877601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l - 1076 = -32*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6560)\/6888)\/(6\/27*-6)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -10. Let n = -29374 + 29504. What is the lowest common multiple of n and h?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + 23. Let n = -32 + t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {k: 8, r: 5}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4 + 6 = 0. Let i be (33\/u)\/(-11) - 6\/4. Solve i = -4*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 56. Let a = r + -3.00000033. What is a rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 675 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -499672 + 499657.00108. Let d = 15 + k. What is d rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from mommmmomomooooomooom.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, s: 12}. What is prob of sequence sii?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 35283 = -12183. Calculate the greatest common divisor of h and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/3 - 336*d**4 + 256025*d**3\/3 - 1013038*d**2\/3 + 420676*d - 504008\/3 = 0. What is d?\nAnswer: 1, 2, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761465.\nAnswer: 5, 152293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 18*a - 7. Let s be v(17). Let i = s - -19. Let r be -3 + 48\/15 - 4\/i. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200)*1)\/((sqrt(20)*-3)\/sqrt(2)))**2.\nAnswer: 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02398 - 0.039?\nAnswer: -0.06298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 225*t**3 - 4*t**2 - 16*t + 11. Let d be k(5). Suppose -3674 = 18*i - d. List the prime factors of i.\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497944722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 17*x**2 + 30*x + 8. Let q be d(15). Let o(w) = -23 - q*w - 22 - 29 + 80. Let p(g) = -g + 1. Give -o(u) + 6*p(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39, 145, 321, 567?\n\"Answer: 35*s**2 + s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 24\/19 (c) -3 (d) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**3\/g*g)*g)\/(g\/(g\/(g*g**(-15)))) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0362 - 0.1362. Let m = 7 + -6. Which is the second smallest value? (a) h (b) -6 (c) m (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 339194930*b*f + 464117858*f wrt b?\nAnswer: 339194930*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (4 + -14 - -4) - (-22 - -32).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s**2*y - 1022421*s**2 + 183698*y wrt y?\nAnswer: 3*s**2 + 183698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2613632327?\nAnswer: 59, 44298853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u + 298 = 3444 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45006, -45050, -45094, -45138, -45182?\n\"Answer: -44*b - 44962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 5, 63 in decreasing order.\nAnswer: 63, 5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86191?\nAnswer: 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 18*q**3 - 2*q**2 + 3*q. Let b be o(1). Suppose b*h + 1239 = 22*h. List the prime factors of h.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 plus 8?\nAnswer: 7.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*h = 2383, 3*h - 1486 + 3877 = o. Is o a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 5 - 10)*(5*p - p + 0*p) + (-3 + 4 + 1)*(2 - 2 - p) - 5*p + 4*p - 4*p + (0 + 5 - 3)*(-4 - p + 4))*(921 - 422 - 295).\nAnswer: -2652*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1681369 - -35?\nAnswer: -1681334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t - 1. Let w(p) = -18*p + 5*p - 5*p + 12*p**2 - 15 + 6*p**2. Suppose -4*z + 3 = -7*z. Let g(l) = z*w(l) + 15*x(l). Let g(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 3*d + 1161. Determine l(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-2\/3))**(3\/11))**(2\/11)*((f**(2\/3))**(9\/7))**40 assuming f is positive.\nAnswer: f**(29096\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101\/(284113\/(-776))*(-1)\/4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35907 minus -2?\nAnswer: -35905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s - 4. Let a(w) = -10*w - 3 + 17*w + 6. Give -4*a(o) - 3*h(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 88?\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -1\/4, -1, 3, 7\/20 in ascending order.\nAnswer: -3\/2, -1, -1\/4, 7\/20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, b: 2, i: 2}. What is prob of picking 1 m, 1 i, and 2 b?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 40.9. Let t = -2.09999935 + g. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*r**3 - 212*r**3 + 11*r**3 - 125*r**3.\nAnswer: -421*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1020683592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 153303 by -5.\nAnswer: -153303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25164 divided by -74?\nAnswer: 12582\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 140*d**2 + 175 + 130 + 122 + 79*d**2 - 427.\nAnswer: -61*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 4, r: 7, f: 2}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 78.\nAnswer: -9, -1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/2 in -3, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y. Solve -3*f + 2*t + y*t + 3 = 0, -2*f = -t - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596 divided by -2.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 at least as big as 5981241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1771\/3855?\nAnswer: 1771\/3855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {e: 7, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 106844 - 106850, 8*z - 24 = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -18. Let m be b + (11 - -3)\/2. Suppose 0*o = -4*o - m*l + 108, o - 3*l = 7. What is the smallest common multiple of 2 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047357628 to seven dps.\nAnswer: 0.0004736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23370 and 2706.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.121 - 1.551. Let h = d + -7.9. Let z = h - -0.63. Which is the third biggest value? (a) 3\/7 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-6 - (6 + -13)). Solve i*n - 5*s = 3*n + 23, 3*n - 17 = 5*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364.7037 microseconds to minutes.\nAnswer: 0.000006078395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((sqrt(19) + -1 + 1)*-6 + -1).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10*36\/(-63) - 7*115\/7350.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + d - 19, 5*d - 5 - 10 = -5*t. Let g = -89 + 93. Solve -g*z = -t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -101. Is f a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -42. Let o = w - -105. Let x = o + -73.99712. What is x rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/24375 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-7 - -5 - (2 + -14 + 3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8694.6 - 8695. Which is the biggest value? (a) w (b) -1\/2 (c) -3\/31 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*v - 240*v + 924*v - 219*v - 255*v.\nAnswer: 44*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*y - 46*y + 80*y.\nAnswer: 123*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*t + 3 - 3.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -303786.96 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e (base 16) in base 5?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/12 + 1855\/(-1750)*5*(-1)\/2\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, t: 2, c: 4}. What is prob of picking 1 t and 1 y?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/101 or 1?\nAnswer: -13\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k*k*(k*k**(2\/3)*k)\/k*k*k)\/(k**(-1\/4)*k*(k\/k**(-3\/7))\/k) assuming k is positive.\nAnswer: k**(293\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*q - 35, -n - 6*q = -2*q + 25. Suppose -3*y + 6 + 6 = 0. Suppose -y*l - 4*o + 4 = 0, -o - 2 = -l + 7. Sort n, 4\/7, l in increasing order.\nAnswer: n, 4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3\/6 + 2*z. Let u(j) = 2. Let d(n) = 0*n - 2*n - 11 + n. Let w be d(-10). Calculate w*u(g) + b(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 33. Suppose -2*m + 5*m = 24. Suppose m = 2*j, 5*j - 21 = p - 0*p. Which is bigger: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfeeffffececicfnetn. Give prob of sequence ee.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -417 + 741. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12611 is divided by 68.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 + t**2 - 2*t + 10. What is r(4)?\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*d - 1006*d - 6588 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*r**3 - 2305*r**2 + 4610*r**2 - 2306*r**2 + 5*r.\nAnswer: -104*r**3 - r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(2*sqrt(75) + 5 + 1 - ((-2*sqrt(75) - sqrt(75))*6 + sqrt(75) + sqrt(75) + (sqrt(75) - (3 + sqrt(75) + -1))))*3)**2.\nAnswer: 334800*sqrt(3) + 5482876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4727, -9520, -14305, -19076, -23827, -28552, -33245, -37900?\nAnswer: -42511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*l - 27, 0*a - 5*l = -2*a + 53. What is the remainder when 125 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 11. Let a be h\/(-6) + 38\/(-4). Is (-2)\/(-6) + (-51)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 33 - 4*q + 22)*(989 - 989 + 9*q + (1 + 1 + 0)*(-3*q - 2*q + 2*q) + 2*q - 2 + 2).\nAnswer: -10*q**2 - 55*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.13 in 1\/6, 22\/21, -0.5, 94?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 4*b**2 + 10*b + 38. Let o be g(6). Suppose 93*t = 80*t + o. Solve -t = -9*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 6:33 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 41*y - 477. Determine s(-53).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y - y + 6*y - 3*y + 8*y**2 to l*y + a*y**2 + w and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -45*p + 28*p + 24*p - 5*p + 2*p**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5 times 0.25?\nAnswer: 2.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**4 - l**4 + 12*l**4)*(-1 + 2*l + 1) - 18*l**5 - 238*l + 238*l.\nAnswer: 2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74321259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4. Let f = -0.9 + -4.1. What is the smallest value in f, q, 4\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 22*p - 51.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.717708 to 1 decimal place.\nAnswer: -32.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 212 in descending order.\nAnswer: 212, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 12) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40.8 and 3?\nAnswer: 122.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.87446um in millimeters?\nAnswer: 0.00487446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -64161.\nAnswer: -64160.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*c**3 - 7439097864 + 7439097864.\nAnswer: 50*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 4*y. Suppose 3*h = 4*b + 37, 0 = 2*b + 1 + 7. Suppose -6*o = -h*o + 44. Let i = -38 + o. Let r(c) = 11*c**2 + 23*c. Give i*r(a) - 34*n(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((230 + -225)*((-248)\/60 + 4)*159)\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35703 or 20890?\nAnswer: 20890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6277*d = 6300*d + 253 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -222, -333, -444, -555, -666?\n\"Answer: -111*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.686 + 0.6857072. Round c to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17874 and 11069964?\nAnswer: 5958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 275 - 272 = 0, -3*n - 7*m = -22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14806.006488 - -14806. Round c to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-25 + 9 + 11)*(-3*o - 4*o + 2*o) - 2*o + o + 2*o)*((0 - 2 + 1)*(-1 - 1 + 0) - 6 + 6 + 4).\nAnswer: 156*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from dsbbsrssbdr.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -62?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 14*z - 19*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13372 + 13373. Let h = 0 + 4. Solve h - i = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22.1 from -33105586305.\nAnswer: -33105586327.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2074*l**3 + l**2*s - 2*l*s - 155*l + 2*s - 2 wrt l?\nAnswer: 12444*l + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*569.\nAnswer: -625.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x + 1. Let m be -4 + (1 - -1 - 3). Let a be d(m). Let f = 8 + a. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m**3\/9 - 16040*m**2\/9 - 12808*m\/9 - 2560\/9 = 0. What is m?\nAnswer: -320, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3327, -3337, -3349, -3363, -3379, -3397, -3417?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**3 - f**2 + 1. Let d be c(-1). Let u = 9 + d. Solve r = u*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904 is divided by 633.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2617 * 56.7\nAnswer: 148383.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**4 + 3*x - 3*x)*(1 + 4 - 3)*(-6 - 6 + 3).\nAnswer: -54*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3860 + 55 = 1305*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/72*-1)\/((-1)\/264).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 1)\/(11\/(12089\/(-14)))?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 6*l + 2. Let d be g(-5). Let s = d + 99. Solve 0*i - 5*n = -2*i + s, -n - 7 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31037334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -6) + (-5 - -16) - (12 - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845661764.\nAnswer: 2, 7573, 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 117*f**2 - 2145*f - 3817. Determine y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 83.25593 micrometers?\nAnswer: 0.08325593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, 4, 4304, 5 in descending order.\nAnswer: 4304, 5, 4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(2 + 150\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.46 in 6\/25, 1\/4, 0.2, 4\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -6*a + 30867, 147*a + 3*k = 142*a + 25744. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {c: 3, q: 1, d: 3, l: 3, i: 5}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p - 1 = 3*z, 27 = 3*p + 3*z. Let h(i) = 3*i - 3. Let k(j) = -2*j + 3. Let l(d) = p*h(d) + 5*k(d). Let x be -1*6*(-7)\/(-21). Calculate l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(13\/4))\/c**(-13))\/((c*c**14)\/c)**37 assuming c is positive.\nAnswer: c**(-2029\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30921520 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 0 + 2*r**2 + 3 + r - 2*r - 2. Let v be i(1). Differentiate 4*p**2 - 4*p**4 - 4*p**v + 1 + 5*p**4 wrt p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20a - 18?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 16 - 4. Suppose -j*k - k = -8. Let s(l) = -2*l + 14. Let a be s(7). Sort -2, k, a in decreasing order.\nAnswer: k, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.39735 months in years?\nAnswer: 8.5331125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**3\/5 + 11*q**2\/5 - 46*q\/5 - 56\/5 = 0. Calculate q.\nAnswer: -14, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -379.65 - -0.3.\nAnswer: -379.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-25)\/20 + (-6)\/8 + 487?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/4 and -10\/698399.\nAnswer: 2793596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brflirvifrlirii. What is prob of sequence if?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -2)\/(118\/(-3363)). Which is the third biggest value? (a) -2 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3139661 is divided by 101?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 4*a**2 - 6*a - 10. Determine h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 - 120110*y**3\/11 - 163789026*y**2\/11 + 402576710*y\/11 - 238667552\/11 = 0.\nAnswer: -2731, 1, 16\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4) - 2*(-1)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2478 and -73\/328335.\nAnswer: 656670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:29 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*m = -7*d - 3, 0 = -3*d + 2*m - 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.99? (a) -0.4 (b) 0 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124908521849 + 5.\nAnswer: 124908521854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4718000 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 13*k**3 - 2*k - 8*k**3 + 2*k**4 - 5 + 0*k**4 - 12*k**3 in the form w*k**4 + t + r*k**3 + n*k**2 + d*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (268 - 536 + 77*r + 267)*(r**2 - r**2 - r**4) - 2*r**2 - r**5 + 2*r**2 - 2*r**5 - 10 + 775*r**4 - 775*r**4.\nAnswer: -80*r**5 + r**4 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/97)\/(s\/(s*s\/s**31*s)*s) assuming s is positive.\nAnswer: s**(-2908\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 5*d**2 - d**2 - 2*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2 - 4196*p - 4401604 = 0.\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*b + 5*t - 6, b + 2 = -5*t. Let x be (-3)\/(4\/((-8)\/b)). Solve 0 = 2*a - x*f - 2, a - f = f + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8512817*p + 2096466 with respect to p.\nAnswer: 8512817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/75*125\/150?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4133350 - -1?\nAnswer: 4133351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-65)*(125\/175)\/((-4)\/(-14))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 15\/7414771?\nAnswer: 15\/7414771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18781 - 18780. What is the closest to 1 in m, -44, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d + 25 - 8\/3*d**3 - 6*d**4 + 0*d**2 + 7\/3*d**6 + 18\/5*d**5. Suppose y(z) = 0. What is z?\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*o + 27*o - 936 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 845420*m - 89341872050.\nAnswer: -2*(m - 211355)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 876 - 5487. Let z be j\/(-3) + (-2 - 0). Suppose -l + 6*l - z = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 - -137. Let k = -9 + 5. Let a(v) = -v - 1. Let j(u) = -u - 3. Determine k*a(r) + t*j(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/606 and (16\/(-1010))\/(3\/855*1194 - 4).\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1483 - 1468. Solve -5*c = -i*c + 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 858 + -848. Which is the biggest value? (a) 0.2 (b) -1 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4668588 to the power of 1\/2, to the nearest integer?\nAnswer: 2161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 + 3*b - 8. Suppose 0 = -4*q - 5*k - 23, -2*q - 10 = -0*q + 4*k. Is f(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 162?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p. Let w(l) = 151*l**2 + 2*l. What is w(m(d))?\nAnswer: 3775*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2565 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*t = 4*t + 20, -y + 16 = -3*t. Suppose 0 = -5*k - y*n + 1504 + 57, -3*n - 1533 = -5*k. Let f = k - 111. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 73, 90, 97, 94, 81, 58?\n\"Answer: -5*i**2 + 42*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27313881 divided by 777.\nAnswer: -35153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - -1) + 33 + -43 - -88) + 12 + -3.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - 0.24. Let m = 0 + 5. What is the third smallest value in -2, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/693 and 109\/30.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-2)\/(-2048)*64).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = -0. Suppose -h*v + 592 = 97. Suppose 5*u + v = 8*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.40059 decades in millennia?\nAnswer: 0.5440059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 7 + 8 - 18 + 10. What is t(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/168 + (-35)\/(-120). Sort -4, q, 10, 0.06 in descending order.\nAnswer: 10, q, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a9 (base 12) to base 3.\nAnswer: 2202010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.07 (b) -1 (c) -0.281 (d) -5 (e) 136\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/56 greater than or equal to -1\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-151*r**2 - 6*r**2 + r**2 + 11*r**2)*(-4*r + r + 0*r) as b*r**3 + j + g*r + x*r**2 and give b.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 0, 3*r + 3*d = d + 33. Let u(w) = 5*w - 5. What is the remainder when u(5) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -687035\/121758 - 2\/8697. Find the common denominator of a and 103\/1940.\nAnswer: 13580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 2*w**3 + 0*w**3 + 4*w**3 + 23 + w to the form j + v*w + g*w**2 + p*w**3 and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 2:01 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16658, -67096, -151312, -269306?\nAnswer: -421078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1944\/567*11\/((-264)\/84)*22\/42?\nAnswer: -44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1811 or 197\/2?\nAnswer: 197\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/42)\/(2\/7). Let p = -12 - -17. Put v, p, -0.1 in descending order.\nAnswer: p, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + -3*-3*4*(-5 + sqrt(15)\/sqrt(3) + sqrt(5))**2)*3.\nAnswer: -2160*sqrt(5) + 4857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - 3*n**2 + 2*n - 1. Let r be q(1). Solve -t - r + 0 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 2*q**3)*(0 - 1 - 1) - 1 + 1 - q**3 + 102 + 34*q + 3*q**3 - 36*q - 533 as t*q**2 + u + j*q + b*q**3 and give u.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*(t\/t**(-1))\/t)\/t))\/t*t*t)**(-46)*t*t\/(t*t\/(t\/t**11))*t\/(t\/((t*t**(1\/15))\/t)) assuming t is positive.\nAnswer: t**(-839\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 + 0*w**5 - w**5 + (-3 + 7 - 2)*(4*w**2 - 4*w**2 - 4*w**5) + (-39 + 39 + 9*w)*(0*w**4 + 0*w**4 + 3*w**4).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*v\/(v\/v**(-10))*v**(-6\/7)*v**(-3\/2))**35 assuming v is positive.\nAnswer: v**(-585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4\/4 - 177*f**3\/4 - 63*f**2\/4 + 3777*f\/4 - 885 = 0.\nAnswer: -5, 1, 4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 41. Suppose -3*x + f = -67. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 28 = -4*u, 5*u - 8 - 2 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36914217 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m**2 + 25. Let n(u) = -u + 726. Give a(n(f)).\nAnswer: 5*f**2 - 7260*f + 2635405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 + -1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 4*r + 3. Let m be s(-2). Let v = m - -11. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7201 > 7184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 57*c**2. Suppose -11*x + 14*x - 15 = 0. Let m(g) = -4*g**2 - g**2 + 3*g**2 + x*g**2 - 5*g**2. What is w(m(t))?\nAnswer: 228*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 502 - 1939\/4. Suppose -t - 18 = 4*b - 3*t, 0 = b + 4*t + 18. What is the common denominator of 7\/6*32\/b and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 + -108.71. Which is the second biggest value? (a) -1\/6 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 17*c - 25. Let h be q(9). Let k = 241 - h. List the prime factors of k.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22302274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52932 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2282052, -9128191, -20538422, -36512745?\n\"Answer: -2282046*p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 797, 823, 863, 917, 985, 1067, 1163?\n\"Answer: 7*a**2 + 5*a + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 78 = l, 5*a - 67 = -5*l + 273. Suppose l = 4*h + 22. What is the lowest common multiple of h and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8471032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + sqrt(720) + sqrt(720)) + -2)**2 + (5*(sqrt(5) + sqrt(45)\/sqrt(9))**2 - sqrt(5)) + -2 + sqrt(5) + 2 + sqrt(5).\nAnswer: 385*sqrt(5) + 11636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.403 + -9.4. Let q = -295.497 + 295. Let v = d - q. Which is the closest to 0.1? (a) 0.3 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49180.\nAnswer: 2, 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1143504206?\nAnswer: 2, 13, 43980931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/33*-2)\/((-657)\/16060*-20)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50861 is divided by 1978.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 21*l**3\/2 - 3*l**2\/2 + l. Let u be r(3). Calculate the common denominator of (u\/(-8))\/(-7 - -10) and -54\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euuueuuuuuuuuuueeu. What is prob of sequence eeu?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - 3*u)*(7*u - 3*u + u) + 2*u - 2*u**2 - 2*u - 8*u**2 - 9*u**2 - 5*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18316707\/993265 - -7886\/3367. Let g = -104\/5 + o. Let m = -127\/531 - g. What is the closest to 1 in -2, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/7 + -71\/21. Let u = 20.685 - -0.315. What is the smallest value in -4, u, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*g + 303 = -315, -2*l + g - 1247 = 0. Let s be l\/(-140) - (-2)\/(-10). Let p = s - 4. Sort -5, -6, p in ascending order.\nAnswer: -6, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151045 + -0.039\nAnswer: 151044.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1319511*k + 659742*k - 6 + 659770*k + 3.\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = -39. Suppose -3*t = -0*t - h. What is the remainder when 1\/(1\/22) - -1 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 31*z**5\/60 - z**4\/3 + z**3\/2 - 3*z**2. Let h be i(5). Is 18 a factor of ((-2)\/(-3))\/(12\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-65)\/780)\/(2\/(-115512))?\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 + 4*v + 9. Let z = 7 - 2. List the prime factors of i(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1 (c) -5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in 0.25, 5, 207?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v. Let r be 6\/(-51) + (-159)\/(-51). Suppose 3*x - 4*x = r. Let j(c) = -c**2 - 2*c + 1. What is x*a(l) + j(l)?\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2 = 12*m - 9*m, 5*m = -3*y + 35. Sort -8, -1, m in descending order.\nAnswer: m, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4227*o**2 - 2125*o**2 - 2105*o**2 + 918 - 16*o wrt o.\nAnswer: -6*o - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 0 = b*a + a - 52. Calculate the greatest common factor of a and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -672 - -1169. List the prime factors of x.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2025?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + (2 + 2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/((-396)\/(-81) - 5)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19468? (a) -4 (b) 2 (c) -9\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 200. Let y be p(10). Suppose -f = -4*f + 9. Put y, 2, 4, f in increasing order.\nAnswer: y, 2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*m + 4*b, -2 = m - 4*b + 1. Let i = 6 + m. Solve 2 = -5*c - i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 71.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 2 (c) 1\/7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -2. Let n = 17 + u. Let g = 10 - n. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 + 942*w - 7052. Give f(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -458\/3 + 3659\/24. Let i = -23\/120 + w. Let g = 65\/297 - 1\/27. What is the biggest value in 1, g, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68)*-1 + sqrt(17) + 4).\nAnswer: -8 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68\/3 - 23*y - 1\/3*y**2.\nAnswer: -(y + 1)*(y + 68)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 0.2, 0 in descending order.\nAnswer: 0.2, 0, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -13440030?\nAnswer: 13440025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 25 (b) -3\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 37. Calculate the highest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 245317 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-9)\/(-4) - (-30)\/(-40)). Suppose c - 3*c + r*g = -528, -3*c + 3*g = -792. Calculate the highest common divisor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1299650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 467263\/2 + -233631. Let w = -3 - -3.3. Which is the third smallest value? (a) 9 (b) y (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000592 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661475468 to the power of 1\/2, to the nearest integer?\nAnswer: 81618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, d: 7, z: 2}. Give prob of picking 2 k.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000 (base 2) to base 3.\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62896?\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (165 + -164)*(-9)\/(324\/(-48))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**7)\/t**(-4))\/((t**(2\/5)\/t*t)\/(t\/(t*t**5\/t))))**(-36) assuming t is positive.\nAnswer: t**(-1368\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3 smaller than -3315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 2*h**2 + 6*h**2)*(-h + h - 2*h) - 2*h**3 - h**3 - 20*h**3 + (-6*h**2 + 0*h**2 + h**2)*(0*h + h - 2*h).\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + ((-5)\/(-2))\/(18\/612). Calculate the highest common divisor of 102 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -23, -330, 4, 5\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16886 - -4027?\nAnswer: 20913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - -41. What is the greatest common factor of g and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*i + 3*b + 4, 0 = 2*i - b - 1. Sort i, 4, 6.\nAnswer: i, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 487027?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 5 (b) -0.4 (c) -3\/4 (d) 69260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 - 77*m**4 + 18094*m**3 + 19244*m**2 - 252360*m - 435744 = 0. What is m?\nAnswer: -178, -3, -2, 4, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 5*d**4 - 15*d**3 - 5*d**2 + 10*d.\nAnswer: 5*d*(d - 1)**2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10*s + 13*s = -10, 3*i = 2*s + 14. Let v(t) be the second derivative of -6*t + 0 - 1\/24*t**4 - 9\/4*t**i - 1\/2*t**3. Determine j so that v(j) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*i**3 + 4*i**3 + 96*i**3 + (-2*i - i**2 + 2*i)*(-2*i + i - 5*i) + 3*i**3 - i**3 - 4*i**3 as r + s*i**2 + n*i + t*i**3 and give t.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1295 and -1\/300.\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.4 (b) -178643 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 3*i**2 + 2 - 6 + 6*i + i**2. Let q be g(-6). Calculate the greatest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0120815 hours?\nAnswer: 43493400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106467401, -106467398, -106467395, -106467392, -106467389, -106467386?\n\"Answer: 3*o - 106467404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 7:56 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001509748299 to 5 dps.\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (87 - 87 + 4*z)*((-3 + 5 - 3)*(2*z - 6*z + 5*z) + 2*z - 2*z - z) to x*z + n + y*z**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 22*h + 273. Determine s(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Suppose i + g - 9 = z, -5*g - 11 = -31. Differentiate 8*a**3 - i*a**3 + 0*a**3 - 4*a**3 - 1 with respect to a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 5013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675589612 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) + sqrt(96)*2 + sqrt(96)).\nAnswer: sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 77284.44 nanometers?\nAnswer: 77.28444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 p when three letters picked without replacement from {p: 1, x: 1, b: 4, v: 5, y: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5031149 divided by -4\nAnswer: -5031149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -294.9, 0.5, -3.\nAnswer: -294.9, -3, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0347 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -77103759*v. Let g(t) = -t**2. What is g(d(s))?\nAnswer: -5944989651930081*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 56\/14*22\/(-4). Let v = b + 19. Sort 5, v, -4 in ascending order.\nAnswer: -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(20)*2 + -3 + sqrt(5)*2 + (sqrt(5) - sqrt(30)\/(sqrt(18)\/sqrt(3))) + 1 + -1 + 4)**2.\nAnswer: -36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.7 - 37.7. Let s = -35.946 - -36. Let u = s - 0.054. What is the second smallest value in -2\/9, w, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -939747319 divided by 134249617?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561366 is divided by 185567.\nAnswer: 4665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.2 - -9. Suppose 0 = 3*k, 0 = 6*o - 2*o + 3*k - 4. Put -3, o, n in decreasing order.\nAnswer: o, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*3 - (sqrt(19) - -4*(2 + sqrt(19)) - sqrt(19)).\nAnswer: -8 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 60. Let k be (-50400001)\/l + (-6)\/18. Suppose 0 = -3*g + 2*a + 3806385 - 29006385, k = -2*g + 4*a. Round g to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2545.89 + 10311.703.\nAnswer: 7765.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 - 86. Let d = 96 - f. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22813704, -22813689, -22813674, -22813659, -22813644?\nAnswer: -22813629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/15*-3). Suppose -p*o + 3*o + 4 = 0. Let u(d) = 3*d**o - 3 - 7*d**2 - 5*d + 3*d**2. Give u(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 341, 511, 681, 851?\nAnswer: 1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**5\/20 + t**4\/6 + 3*t**2 - 2. Let w(z) be the second derivative of j(z). What is the second derivative of w(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12*4*11\/(-22).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -57, -90, -121, -150?\n\"Answer: k**2 - 38*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.4 - -6. Let v = -1.6 + p. What is the closest to v in -1, 5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76966 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.102 in 5, 0.4, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1088)*3 - sqrt(1088)) + -2 - (5 + sqrt(1088)*2))**2 + ((sqrt(1088) - (-1 + sqrt(1088)))*1*2*4)**2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -4*y, -3*t - 79*y + 19 = -75*y. Suppose 0 = -0*z + 2*z - 10. Solve 5*h - z*w = -0 - 5, 0 = -2*h - t*w - 23 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**28)\/(n*n**(-37)) assuming n is positive.\nAnswer: n**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/4)*f)**(3\/28)*(f\/(f\/((f\/(f*f\/f**(1\/2)*f*f))\/f)))**(-2\/13) assuming f is positive.\nAnswer: f**(151\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241 + 247. What are the prime factors of (62\/(-10))\/(s + (-4088)\/680)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**5 - 47*i**4 + 49*i**4 - 14*i**5)*(1 - 4 + 5)*(1 + 2 - 1).\nAnswer: -60*i**5 + 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 16*l**2 - 2*l - 31. List the prime factors of i(15).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 minus -7.5?\nAnswer: 7.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6382 is divided by 266?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.898 + 24. Let a = s - 0.101957. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -709 * 12.\nAnswer: -8508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + s**2 + 2*s - 1. Let r = -8 + 10. What is a(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {f: 7, w: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 281434043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-208265)\/(-10) - -2)*-6. Let n be p + (-5)\/((-20)\/16). Let d = -318967 - n. Round d to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.046 - -4.2. Let v = -0.1540087 + w. What is v rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6058651 is divided by 386.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 3, 6\/7, 2\/5, -5 in decreasing order.\nAnswer: 3, 6\/7, 2\/5, -8\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3521, -7224, -10927, -14630, -18333?\n\"Answer: -3703*a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**3 - 9*j**2 + 3*j + 10. Let r(p) = 2*p**3 + 4*p**2 - 2*p - 5. Let i(n) = -5*r(n) - 3*y(n). Let q be i(7). Factor -2\/7*a**3 + 2\/7*a + 0*a**q + 0.\nAnswer: -2*a*(a - 1)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3290, -6472, -9440, -12086, -14302?\n\"Answer: 18*z**3 - z**2 - 3305*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 14 = 4*r, -11 = -5*r + r + 3*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/5))*f*f)**(4\/25)*f**6*f\/(f**(-4)*f)*(f**3\/f**(-5))**(-7\/5) assuming f is positive.\nAnswer: f**(-118\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 64411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**4 + 53223*f**3 - 319245*f**2 + 266025*f = 0.\nAnswer: 0, 1, 5, 17735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18 - (0\/3 - -2 - 5). Let y(t) = -t**2 + 10*t - 16. Let n be y(8). Factor g*f**3 - 12\/5*f + n - 12\/5*f**2.\nAnswer: 3*f*(5*f - 2)*(7*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5264225820 to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 4*r**2 + 3*r - 2. Let c be a(-3). Put -7, c, 4 in descending order.\nAnswer: 4, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25563.94mg in nanograms?\nAnswer: 25563940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1580160, -1580159, -1580156, -1580151, -1580144, -1580135?\nAnswer: -1580124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73\/260 - -2\/65. Is h less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147403 is divided by 145822.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -285 (b) 1\/3 (c) -1\/7 (d) 4 (e) -3\/4 (f) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3299 + -33077\/10. What is the common denominator of 44\/(-64)*(-28)\/(-3) and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**2 - 5*s + 13. Suppose -2*p + 2*o = 10, 21 = -3*p + 2*o - 5*o. Is f(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537 - 218 + 7*x - 319.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 334473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17547 - 17211. Calculate the highest common divisor of 119 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -11. Suppose m + 2*m = g. Which is smaller: m or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1266946*m*t**2 + m*t + 856181*m wrt t?\nAnswer: -2533892*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 14, -9 in decreasing order.\nAnswer: 15, 14, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 23 = -61. Let j = o + 34. What is the highest common divisor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) -15537 (c) -18 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 5*w - 459. What is the tens digit of b(-41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**3 - 2*y**2 - 4*y - 26. Let r be h(-7). Let g = r + 5800. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, l: 3, t: 1, k: 1, n: 9}. Give prob of sequence xkxn.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 1. Let t be l(4). Let j = 69 - t. Let s = j - 34. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 949.0518 months to decades.\nAnswer: 7.908765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54745634.\nAnswer: 2, 911, 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288731 is divided by 2265?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 41 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -1 + 4*c**2 + 2*c - 1\/3*c**3. What is the remainder when 6 is divided by i(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 759*v + 135658. What is q(471)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*s**5 - 42*s**2?\nAnswer: 3360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/5)*c)\/c**(-7)*(c*c\/(c\/c**(-1\/19))*c)\/(c\/c**(-3)) assuming c is positive.\nAnswer: c**(717\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = j + 4*o, 3*j + 4 = 4*o. Let t(p) = p**3 + 4*p**2 - 3*p - 2. Let s be t(j). Solve 2*q + 3*q + s = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14) + 10\/14 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 283.5 + -284. Put 3, v, 0.2 in decreasing order.\nAnswer: 3, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1681.0921 to the nearest integer.\nAnswer: -1681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 1. Let k be v(1). Let w be (6\/15)\/(k\/20). Let g(j) = 13*j**2 - j + 10. Let s be g(w). What is s rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 11:25 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1584 - -1588. Determine r so that -2\/7*r + 0*r**3 + 2\/7*r**5 + 0 + 4\/7*r**2 - 4\/7*r**j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2477, 5004, 7585, 10220, 12909, 15652?\n\"Answer: 27*h**2 + 2446*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18\/15)\/((-28)\/(-227900)) + 2\/(-14)?\nAnswer: 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c**4 + 9*c**4 + 2*c**4)*(-4 + 1 + 7) in the form y*c + w*c**3 + n*c**2 + l*c**4 + b and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (2 - 26921\/(-18)). Let j = -1500 + y. Calculate the common denominator of j and 59\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - a + 4 + 1 + 2*a - 1 + (-2 - 1 + 5)*(2*a + 4 - 4) - 2 - a + 2)*(-318*a**2 - 152*a**2 - 131*a**2)*(0 - 7 + 2).\nAnswer: 12020*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 150499*s**3\/4 + 37624*s**2 - 3*s\/4 = 0?\nAnswer: -1, 0, 3\/150499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -22, -32, -42, -52?\n\"Answer: -10*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -173\/3, -269\/17, 2.\nAnswer: -173\/3, -269\/17, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41907583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28185637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*-4*-2)\/(sqrt(384)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 608 = 1792. Suppose -6*s = -1728 + y. What is the highest common divisor of s and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5814 rounded to 3 dps?\nAnswer: -0.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 96?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + ((sqrt(3) + sqrt(6)\/sqrt(2))*-1 + sqrt(48) + 2)**2).\nAnswer: 39 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 24. Which is bigger: t or 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17926284.\nAnswer: 2, 3, 547, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -17*t**3 + 17*t**2 - 27*t - 1. Calculate z(2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-7) - (24 - 32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79895.\nAnswer: 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5\/3 (b) 3 (c) 0.5 (d) -12.02 (e) 0.1 (f) 1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2523*k**2*s**3 + 2*k**2*s + 175*k**2 - 8 wrt s?\nAnswer: 7569*k**2*s**2 + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-4)\/10 - 188\/(-20)) - (2394 - 2454)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 25. Suppose i + 5*h - a = -2*i, -3*i - 4*h + 12 = 0. Suppose i + 4 = 3*m. Sort 1\/4, m, 2 in descending order.\nAnswer: m, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -2. Let w(d) = 35*d + 2812. What is the remainder when (2\/j)\/((-8)\/564) is divided by w(-80)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/10*(-745 - -30). What is the remainder when (x\/(-66))\/((-1)\/(-27)) is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25426892?\nAnswer: 2, 919, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51, 46, 37, 24, 7, -14?\n\"Answer: -2*t**2 + t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 1:29 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + 8 - (2 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 1\/9*p**6 - 2\/9*p**3 + 0*p - 2\/5*p**5 + 1\/2*p**4 + 0*p**2 + 4. Solve x(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/2*4 + -3. Let a(o) = -3*o**2 - 93*o + 19. Let c(f) = -6*f**2 - 197*f + 37. Let v(x) = -13*a(x) + 6*c(x). Is v(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 93 = 15. Calculate the smallest common multiple of 500 and b.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -345, -551, -777, -1029?\n\"Answer: -j**3 - j**2 - 182*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 + -75. Which is the fourth smallest value? (a) 0.3 (b) f (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2017.8 + -1950.8. What is the closest to v in -3\/2, -0.05, -0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34214*f - 3 + 17473*f + 16743*f.\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.13 - 70414643092?\nAnswer: -70414643140.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 19 = 3*t, -5*t = -t + 4*q + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2480*v + 10. Suppose 0 = -i + 2*f - 11, 0 = 3*i + f + 11 + 1. Let q be s(i). Round q to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 = -3*d + 3, -4*q - 5*d = 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*i - 14*i - 7. What is the units digit of (44\/36 - i) + (-428)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3\/2 + 57*t**2\/2 - 48*t - 360 = 0. What is t?\nAnswer: -20, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 17 = 3*q - 42, -q = 5*j + 12. Let w be ((-4)\/(2 + -4))\/((-6)\/(-33)). Which is bigger: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719445266?\nAnswer: 2, 359722633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*(-1)\/(-6))\/((-6)\/(-594)). Suppose 2*l + m = 13*l. Solve 0 = 2*u - u + l*d - 6, 5*u - 18 = -3*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1042543 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 2*t - 5*t + (3*t + 2*t + t)*(0 + 0 + 1) - t + 2*t + 0*t + 3*t - 4*t - t + 39*t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1671 (b) -3\/10 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(3 - 3 + x**2)*(13*x + 4*x + 4*x).\nAnswer: 105*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*m**2 + 26*m - 892*m**2 - 4*m**3 - 2*m**3.\nAnswer: -6*m**3 + m**2 + 26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 193 = -537. Suppose -5*d = -2*t + 96, 4*t + 4*d - m = 102. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 120904 + 2*w + 120904 - 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6. Let o(u) = u - 1. Let p(z) = -2*o(z) - s(z). Let r(t) = -t**2 + t + 11. Calculate the remainder when p(-6) is divided by r(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 6, x: 1, b: 3, p: 2, n: 1}. Give prob of picking 1 n and 3 b.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 10*x**2 - 7*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/14 and -41\/1162.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 - 296. Put 0.2, i, 0.3, -2\/149 in descending order.\nAnswer: 0.3, 0.2, -2\/149, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.04 (b) 47\/5 (c) -4 (d) 2 (e) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5 - d**4 - 36266*d**3 + d - 846541 wrt d?\nAnswer: 20*d**3 - 12*d**2 - 217596*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + 11000?\nAnswer: 1010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4941361201 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-1)\/(-4)*60\/29595) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 1061.\nAnswer: -13793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**28\/z**(9\/10)*(z**(-16\/5))**(-47) assuming z is positive.\nAnswer: z**(355\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3605000 to the nearest one hundred thousand.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/10, 1\/3, 3, 4?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:59 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/85 + 1397\/680. Find the common denominator of 89\/12 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370000 rounded to the nearest 100000?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-8207)\/(-2610)*-10 - (-374)\/720\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**2 - 4*w**3 - 2*w**2)*(-2 - 3 + 1)*(43 - 24 - 12) in the form g*w**2 + z + x*w + f*w**3 and give f.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 i, and 1 o when four letters picked without replacement from ppgklpkkpkio.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*i + 33*i + 125*i - 36656 = -52*i for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3412571882 + 4*u**2 - 5*u**2 + 3412572016.\nAnswer: -u**2 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/56)\/((1 - (-1812)\/259) + 770 + -778).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 - 5 = 0. Suppose c*b + 4*y - 80 = 0, 5*b - 94 = 2*y - y. Suppose -b = -3*i + 53. Solve 2*l + i = -l - 3*d, -3*d - 6 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 43*m**2 + 64*m - 1157. Calculate the remainder when 1253 is divided by n(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 20*f**2 - 85*f - 300.\nAnswer: 5*(f - 4)*(f + 3)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 0 - 3\/20*g**5 + 0*g**3 + 0*g**2 + 5\/6*g**4 - 3*g. What is the third derivative of z(a) wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 17*b - 11. Is v(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5077 or -313?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2286\/55 smaller than -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 198*b + 12. What are the prime factors of i(3)?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.079 less than -34213\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 + 4*k**2 + 2*k**2 + (-2 + 3 - 2)*(-3*k - k**2 + 3*k) - 73*k - k**2 + 4*k**2 + 81*k as s + r*k + d*k**2 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430020721 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-1 - -2) + -12 - -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 87*d - 15. Let r(s) = 22*s - 4. Let c(o) = -4*l(o) + 15*r(o). Let x(q) = -9 - 68*q**2 + 9 + 70*q**2. Determine x(c(n)).\nAnswer: 648*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5075 and 42775.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40330151 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*p - 22662 = -1044*p - 577*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-336)*8)\/((-186)\/(-217))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2238744 * 0.5.\nAnswer: -1119372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p + 16 = 25. Put 6, -11, p, -2 in decreasing order.\nAnswer: 6, p, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)\/u**(4\/13))\/(u**(-1\/2)\/(u\/u**16)) assuming u is positive.\nAnswer: u**(-463\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(((-2)\/(-30))\/(4149\/54 + -77))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -30096, 5, -4 in ascending order.\nAnswer: -30096, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**2 - 345*j + 670 = 0.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 807557 - 12075547\/15. Let a be ((-86105)\/2)\/(-17) + -13. Let q = v - a. Find the common denominator of 31\/24 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from omppoopooppommp.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-197)\/(-5) - (-297)\/495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 1, v: 1, z: 2}. Give prob of sequence zvf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*y - 60 = 0, 7*y = -4*a + 4*y + 52. Suppose 0 = f + 2*f - 36. What is the least common multiple of a and (-12)\/(-1)*8\/f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t + 7. Let x(q) = 3*q + 3. Calculate -5*x(s) + 2*z(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 12446 - 5153 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 3 + 3. Let p(c) = -7*c + 6. Let b(z) = 2*z - 2. Let d(a) = 6*b(a) + 2*p(a). Calculate d(m(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(-3*p**3 - p**3 + p**3) + 4*p**2 - 4*p**2 - 5*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 1306247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10\/7 + 37\/21. Let c(r) be the third derivative of 1\/120*r**6 - o*r**3 + r**2 + 0 + 0*r + 0*r**4 + 0*r**5. Differentiate c(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k - 5*c, 0 = -2*k + 2*c - 3 + 5. Let m be 22\/(-121) - 180\/(-22). What is the greatest common divisor of k and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2704 is divided by 900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-14)*18\/(396\/77).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86013\/16 + 5374. Calculate the common denominator of x and ((-14)\/21)\/(2172\/855).\nAnswer: 2896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*b + 83, -12*b = -5*l - 10*b - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 4*x**2 - 8*x**2 - 6*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: What is the nearest to 5 in 5, -20, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*u - 3 - 8*u + 1 + 5093*u**2.\nAnswer: 5093*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 1)\/(-3)*13. Suppose 3*i - 7 + 35 = -5*c, -3*i - r = 2*c. Let z be ((-15)\/(-2) + 3)\/(i\/2). Is z greater than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 4. Let i(z) = 3*z - 69. Let g be i(23). What is m(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1427.31 + -1415. Let j = -12.2 + u. Which is the biggest value? (a) 5 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2722609 in -0.1, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 9*t - 25. Calculate i(8).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00381594 rounded to 5 decimal places?\nAnswer: -0.00382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprpppprrpppppppp. Give prob of sequence rr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -49*w**3 + 30*w**3 + 20*w**3 - 17. Let i(x) be the first derivative of 2*x**3\/3 - 1. Determine i(m(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = -276. Suppose -20*o + 27*o - 126 = 0. What is the remainder when x is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2 + 102*h + 880 = 0?\nAnswer: -8, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 8:26 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 245 = -56. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-two fifths of a millennium?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 146.5047 decades?\nAnswer: 14.65047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7 + 5 - -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 8 = 3*a - 1, 0 = -2*o. Solve 24*i = 28*i - 4*d, -4*i + 3*d = -a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 2*h**2 - 7*h**2 - 3*h - 116*h**3 - 155*h**3 + h to w + l*h**2 + m*h + z*h**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 26. Suppose 0 = d + p - 9, 0*d - 4*d = -4*p + 4. Let q be 2 - d\/((-12)\/x). Solve z = -3, 6 = m - 4*z - q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158 and 10586?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3*x**2 - 2*x + 9. Let v be ((-1)\/(-2) + 0)*-4. What are the prime factors of y(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) - -3*sqrt(1250) - ((1*sqrt(810))\/sqrt(5))**2.\nAnswer: -162 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -46. Let u = 175 - 170. Which is the third smallest value? (a) h (b) 4 (c) 4\/3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9602128 and 1168.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqaqaaqqqqq. What is prob of picking 1 a and 1 q?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 25*d = -140. Solve -d*w + 4 = 2*x + 2, -x - w = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -530 divided by 3.\nAnswer: -530\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 521*f**5\/10 + f**4\/12 - 3*f**3\/2 + 181*f**2\/2 - 9471*f. What is the second derivative of q(c) wrt c?\nAnswer: 6252*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1108312105 to 4 dps.\nAnswer: 0.1108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109141100 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**6\/30 + l**5\/15 + l**4\/6 - 2*l**3\/3 - 2*l**2 + 5*l. Let b(a) be the first derivative of d(a). Factor b(n).\nAnswer: -4*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sldldddddsx. Give prob of sequence dx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -232018 (base 9) in base 2?\nAnswer: -100001111111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 0 + 6 - 2) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291946, 0.5, 2\/7 in descending order.\nAnswer: 0.5, 2\/7, -291946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from lvfrudl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18a (base 13) to base 11\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e84 (base 15) to base 12.\nAnswer: -985a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 22476*z**2 + 31561920*z + 31584400.\nAnswer: 4*(z - 2810)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let p(s) = 2*s**3 - 3*s**2 + 2*s - 3. Let h be p(2). Let g(j) = 15*j. Let q(c) = 8*c. Let l(k) = h*q(k) - 3*g(k). What is d(l(m))?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4435*k - 48734. What is j(-11)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11819, 11816, 11811, 11804, 11795?\n\"Answer: -p**2 + 11820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.094 + 4.094. Let u = -84 - -46. Let a = u - -85\/2. What is the third smallest value in 0.1, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003275624 rounded to seven dps?\nAnswer: 0.0000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5332575 months?\nAnswer: 0.000044438125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1969*k**2 - 578*k**2 + 612*k**2.\nAnswer: -1935*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84.84128 - -84.9. What is b rounded to 3 dps?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 39*w + 7. Let h(n) = -2*n**2 + 78*n + 14. Let s(r) = 5*a(r) - 2*h(r). Is s(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 10 - 4 + (-2 - 1 + 2)*(1 - 1 + 2))*(r + 5*r - 4*r) - r + r + 2*r + (3*r - 3*r - 2*r)*(0 + 2 + 0) - 2*r + 0*r + 0*r - r + 3 - 3.\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:10 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50583*k**3 - 1077*k**2 - 10*k wrt k?\nAnswer: 303498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wegeggwxefw. What is prob of picking 1 g and 1 w?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w + 6*w. Suppose 2*k - 6*k + 20 = w, 3*r + 5*k = 1201. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 1712*b**3 + 186476*b**2 - 683488*b - 3775296.\nAnswer: 4*(b - 212)**2*(b - 7)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of x*z**2 + 90*x*z - 2*z**2 - 2*z wrt z?\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - u**2 + 4 + 13.\nAnswer: -u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14327 = -21*p - 14327 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 7*w**2 + 3*w - 2. What is x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*j**3 + 2*j + 377*j**3 - 2*j.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*u - 2*p - 3369, 0 = -3*u + 5*p - 5091. Let c = 4263 + u. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 2, -3, -551, -5\/9, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Suppose 2*f - 2 = 8. Solve -f = y*k + 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 500 = 12*v - 13*v, v = -3*a + 376. Let o = 6624 - a. What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -764, -564, -24, 1030, 2772, 5376?\nAnswer: 9016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96\/175 - -4\/175. Which is the nearest to f? (a) 0.2 (b) -1 (c) -0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6*z**8\/z)\/(z*((z\/z**7*z)\/z*z*z)\/z*z*(z*(z\/(z**(-5)\/z*z))\/z)\/z))\/((z**(-6)*z**(-2\/5))\/(z**4\/z**(1\/5))) assuming z is positive.\nAnswer: z**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -5, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -56755.5 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -14, -12, -8, -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by -2\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28671)\/(-1197) - (-78)\/1638.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 16 = -3*s, 2*s - 3*y + 8 = 3*s. Let t be (4\/(-6))\/((-4)\/18). Let r be -2*t\/(-3) - -3. Solve -g = 2*w - 5, -r*g - w - s*w - 10 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 10*u + 4. Let m be d(7). Let z = m - 13. Let p be z\/(-4) + (-6)\/(-12). Solve -p = -3*o - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3429 by -36.\nAnswer: 381\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 3*n**2 + 0*n**2 - 6*n + 4. Let t = -113 + 117. Determine a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a = -383 + 26 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/8*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 58*w**2 - 3*w + 1. Let o be g(1). Suppose s - 136 - o = -3*h, -5*h = 3*s - 316. Let q = h + 13. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26b (base 14) in base 2?\nAnswer: -111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229998579 is divided by 256.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30222 - 2?\nAnswer: 30220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3054\/11 + -73285\/264. What is the nearest to -2 in 18, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 3192.14, -11.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.281358 years in millennia?\nAnswer: 0.008281358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 64583*o - 516681. Determine a(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156410*p - 28 + 28 - 156425*p.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*m + 364000 = 0, 727952 = -311*p + 307*p + 2*m. What is p rounded to the nearest one thousand?\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 29*i + 20. Let y be m(14). Suppose -3*n = 3*g - y, 12 = 5*g - g + 2*n. Solve -g*p = -5*b + 20, 0*p + 5*b - 20 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132138.\nAnswer: 2, 7, 193, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-21)\/(-735)*(-15)\/33?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44.2 - -52.2. What is the nearest to 1 in 5\/4, w, 2\/3, -0.5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - (-1 + (sqrt(1053) - (sqrt(1053) + -1)) + sqrt(1053))) + sqrt(1053) + -2 + -3)**2.\nAnswer: -90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/2520 - r**6\/90 - r**5\/40 + 7*r**4\/12 + r**2. Let u(l) be the second derivative of i(l). Give u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.82 + 0.18. Let m = 1 + 0.5. Let y = m + -2. Which is the second biggest value? (a) k (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -236 - -234. Let r be 0 + (-2)\/6 + (-154)\/33. Sort r, -62, b, 1.\nAnswer: -62, r, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 46*f**3 + 2*f**2 + 21*f + 19. Let l be b(8). Let o = l - 715927\/30. Calculate the common denominator of 1 + (-1 - (-61)\/(-33)) and o.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -260 + -321. Let r = u + 1091. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 99*q**2 - 50*q + 21. Let g be l(-49). What is the highest common factor of 105 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20432160 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130927 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1888*o**4 - 2*o**2 - 1837 wrt o.\nAnswer: -45312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 0, -3, -14, -39, -84, -155, -258?\n\"Answer: -d**3 + 2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*w**2 + 0*w**3 + 24*w**2 - w**3 - 295*w + 295*w.\nAnswer: -w**3 - 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 562 - 245. List the prime factors of v.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 1267 = -16*f + 20*f, 0 = -5*a + f + 691. Solve -a*i - 15 = -134*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -367*c - 2830. Give g(-9).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 63 = -3*x, -3*v - 9*x + 8*x + 79 = 0. Solve 16*t - 82 = -v*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124557250, 124557249, 124557248?\nAnswer: 124557247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -120*n - 770. Let t(l) = -7*l - 44. Let g(u) = 2*q(u) - 35*t(u). Let m(h) = 5*h. Let c(i) = 31*i. Let z(a) = 6*c(a) - 39*m(a). What is g(z(x))?\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3874 = b - 4*g, -5*b + 19376 = 3*g. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/7 + 13476*t\/7 + 1906619\/7 = 0.\nAnswer: -13333, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/((-220)\/5)*-58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 723\/331?\nAnswer: 723\/331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**6\/90 + w**4\/12 + 2*w**3 - 3. Let f(x) be the third derivative of h(x). What is the derivative of f(a) wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34240 is divided by 212.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = -9. Let u = 225 - 125. Suppose -34*f = -u - 70. Sort 1, -1, f, y.\nAnswer: y, -1, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2313 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 872377 - -15343306?\nAnswer: 16215683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 55, 112, 191, 292, 415, 560?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 = h - 0*h, 4*j = 5*h - 12. Solve h*c = -c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -9*b**3 - 1. Let p = 2 - -2. What is the smallest common multiple of t(-1) and 75\/9 + p\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3194 - -46a76?\nAnswer: 4a15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3418*z + 230. Is l(7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 2*b. Let m be 5\/(-10) - 2\/b. Let f(t) = t**2 + t + 1. Determine f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50096131, -100192260, -150288389, -200384518, -250480647, -300576776?\n\"Answer: -50096129*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -61. Suppose 0 = 6*d - 2*d - 5*c - 32, -d - 4*c + 29 = 0. What is the highest common divisor of g and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-10)*(48\/(-12) + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 3, r: 1, i: 1, j: 3}. Give prob of sequence araa.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 7*c**3\/3 - 1. Suppose 0 = 3*z + z - 36. Suppose -3*w = 4*n - 0*n - z, -2*w = -n + 5. Determine r(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 4)*(2*j**4 - j**2 + j**2) + 7*j**4 - 53*j**4 + 17*j**4 to v*j**3 + d + c*j**4 + i*j + w*j**2 and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let z = 41 - 449\/11. Sort z, s, -1.\nAnswer: -1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -47*t + 2. Let l be (14\/21)\/((-8)\/(-6))*-2. Let r be 5 - (10 - 2) - 2\/l. What is the units digit of q(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3)*(w*w**(5\/4))\/w)**(-45)*(w**(-3)*w**(-9))\/(w**(-8)*w**(2\/11)) assuming w is positive.\nAnswer: w**(-1339\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let k be (-19)\/3 - (-3)\/9. Let p(o) = o**3 + 7*o**2 + 6*o + 2. Let t be p(k). Let y(z) = 7*z - t*z - 4*z. What is y(h(b))?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -164\/5 greater than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 972 divided by -3\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*(0 + sqrt(19)) + (-2*sqrt(171))\/sqrt(9))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(72)\/sqrt(3)*1)\/(-3*sqrt(8)*-1).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274443336 divided by 4.\nAnswer: 68610834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1542303 (base 6) to base 14.\nAnswer: -2538b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 5, m: 1, s: 5}. What is prob of sequence mn?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -82. Let y be o\/(-42) + 80\/(-35) + 2. Which is bigger: -6 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1499 + 1960. Solve u*o = 457*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12918337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001818820315 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.08 and -0.5?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.9 - -14. Let l = 0.9 - 0.4. What is the third biggest value in l, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/6, 18\/1357, 1\/3, 26 in decreasing order.\nAnswer: 26, 0.5, 1\/3, 18\/1357, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 673*o*y**3 - 12*o*y**2 - 45*o*y + 33*y**3 - y**2 wrt y?\nAnswer: 4038*o + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 20*q - 14. Suppose 19*o - q*o - 195 = 0. Let j = o + -35. Solve 7 = 4*r - 3*f - 1, f = j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 19*t**2 - 3*t + 77. Let o be h(8). What is the greatest common divisor of 385 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 795? (a) 1 (b) -3\/7 (c) -5 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 20878*v**3 + 62628*v**2 + 62626*v + 20875.\nAnswer: (v + 1)**3*(v + 20875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 783 and 174.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -153, -169, -171, -153, -109, -33?\n\"Answer: q**3 + q**2 - 26*q - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 136a6 (base 16) to base 6\nAnswer: 1412102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53529*d**5 - 14444*d.\nAnswer: 1070580*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/(-15) - -24 - (-22 - -20 - 290\/(-22)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 14*x**3 - 8*x**3 + x**3 + (0*x + 5*x - 4*x)*(3*x**2 - 4*x**2 - x**2) + x**3 + 11*x**2 - 11*x**2.\nAnswer: 6*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (4 - -22 - 12 - 22)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 35, -1, 190 in decreasing order.\nAnswer: 190, 35, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*288.\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 186376699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 6*o - 3. Let m(n) = -n**3 - 6*n + 2. Let p be 10\/(-15)*(-27 - -24). Give p*f(v) + 3*m(v).\nAnswer: v**3 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -679634*v**3 - 345108*v.\nAnswer: -4077804*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1709 - 1705. Solve 0 = g*u - 2*b + 10, b = -3*u + 3*b - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**2 - 13*k. Suppose -4*a = 2*b - 20, 31*b - 36*b - 4 = 4*a. Let y(h) = 13*h**2 - 27*h. Give a*z(c) - 4*y(c).\nAnswer: 2*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 4*o**2 - 2*o - 7. Let n(i) = i**3 - 6*i**2 - 5*i - 9. Let v be n(7). Determine h(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of c**7\/735 - 13*c**6\/420 + 23*c**5\/210 - 11*c**4\/84 - 3*c**2 + 204. Factor j(r).\nAnswer: 2*r*(r - 11)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.3. Let w = 6318 - 6317.6. Let y = s + w. Which is the closest to y? (a) -0.3 (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5828102 is divided by 2998?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1210*g - 4967. Give r(4).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 2244195068 take away -2?\nAnswer: 2244195070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**2 - 2*f + 11. Let k(o) = -12*o**2 + o - 12. Suppose 0 = -y - 4*y + 30. Let q(x) = y*u(x) + 5*k(x). Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -10. Suppose 3*o - 5*d = 6*o + 180, -3*o - 159 = -2*d. Let a = n - o. What is the greatest common divisor of 231 and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 13 = u, 3*u + 2*m - 18 = 0. What is the first derivative of -16*w**2 + 8*w**2 - u + 5*w**2 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -38, -2, -82.5, -3\/178 in ascending order.\nAnswer: -82.5, -38, -2, -3\/178, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -4b66e?\nAnswer: -4b668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrrrrkkrrr. Give prob of sequence krk.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -9*p + 25*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 645 and 830.\nAnswer: 107070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 24992.68ml?\nAnswer: 24.99268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86 - -11?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*c + 15 = -101*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(204)*1 - sqrt(204) - sqrt(204)) + sqrt(204) - -1*3*sqrt(204))\/((sqrt(144)*2*3)\/(sqrt(108)\/(sqrt(36)\/sqrt(4)))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 44757637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19502 divided by 3.\nAnswer: -19502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 13*o = 8. Let g(t) = t**2 + 4*t + 3. Let m(h) = h**2 + 3*h + 2. Let j(f) = 2*g(f) - 3*m(f). Calculate j(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 l when three letters picked without replacement from lrzrczrrccacacgr.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19618181.\nAnswer: 11, 29, 89, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*h*x**3 + 14031*h*x - 52*h + 12929 wrt x.\nAnswer: -60*h*x**2 + 14031*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = w + 22, 0*u + 3*u - 15 = 0. Let k be ((-1)\/w - 1)*6. Put k, 2, 3 in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3743749 is divided by 71995.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvnnvnn. Give prob of picking 1 v and 2 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 0.82\nAnswer: 0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**3 - 58*m**2 - 197*m - 136. What is p(-5)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 9 = 2*t, 120*w - 4*t - 31 = 115*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-287)\/(-2) + 60\/(-8) + 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((1 - (-1)\/2) + 0)*2. Suppose -4*f + 17 = -3*j, -3 = x*f + j + 2*j. Find the third derivative of -274*r - 10*r**f + 274*r + r**2 - 3*r**6 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -104023 * 0.5\nAnswer: -52011.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3967909 is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*o + 10479 - 9867 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a2 (base 11) in base 3?\nAnswer: 2210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 142361569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8963842 and 15022?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -18*b - 2. Let v be u(-5). Suppose 2*p = -0*p + v. Calculate the remainder when p is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 6:41 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.93771 and -118.04882319.\nAnswer: -118.98653319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 62035?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2*n**3\/3 - 2*n**2 + n + 1. Let f(b) be the first derivative of m(b). What is the derivative of f(z) wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552750 (base 14) in base 8?\nAnswer: 13010702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let f be h(-1). Let p be ((-1)\/f)\/((-1)\/258). Let m = p + 320. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49112 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -137*q + 194*q - 63 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -10086 and 1320243527.\nAnswer: 1320233441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4556 - -96?\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 39*y + 309. Calculate t(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079792437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - (-8 + 4)\/(-4). Determine m, given that 946 + 22*m - 952 + 7*m**d + m**2 = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 59*j**6\/10 - 157*j**4\/4 - 643*j. Find the third derivative of k(c) wrt c.\nAnswer: 4248*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a + 8. Suppose 0 = 4*g + 5*h - 4 - 18, -2*h = -a*g + 8. What is the lowest common multiple of ((-4)\/10)\/((-1)\/20) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26160 by -10.\nAnswer: 2616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125857614 + 2894976835931\/23002. Let t = -5\/106 - w. Is 0 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2186, 1803, 1174, 305, -798, -2129, -3682?\nAnswer: -5451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/597660 and 101\/1372.\nAnswer: 29285340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/12*(-832)\/(-156)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12662, -12507, -12088, -11273, -9930?\n\"Answer: 22*j**3 + j - 12685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(63) - 2*sqrt(63))\/sqrt(7))\/(sqrt(3) - 1*sqrt(3)*3).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaau when four letters picked without replacement from {u: 2, w: 5, a: 8}?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 b, and 1 h when four letters picked without replacement from bzzzhzbp?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*y**4 - 2807.\nAnswer: 820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1115 + -1115. Solve -a = -m*w + w + 2, -18 = 3*a - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111 + 395. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 10:05 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3144\/25? (a) 236 (b) 0 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.8 + -35.8. Put -2\/5, 0.1, m, -3 in ascending order.\nAnswer: -3, -2\/5, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)*(d\/d**(-4))\/d*d)**(-4\/11) assuming d is positive.\nAnswer: d**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4408632*t**6 - 2656715*t**2.\nAnswer: -529035840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 2*m + 0*m = -411, -6434*p - 2*m = -6430*p + 114 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6. Suppose -2*g - 4 = 0, -4*x - 5*g = -p*g - 68. Suppose -3*u + 37 = -t, -4*u + 3 = 3*t - 42. What is the highest common divisor of x and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67518620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b53 + -21b?\nAnswer: -9071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0043 + -0.5043. What is the closest to y in 0.06, 4, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 37580990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163.19 - 164. What is x rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((2 + sqrt(1584))**2 - sqrt(1584)) + sqrt(88)\/sqrt(8)*5 + sqrt(11))*-6.\nAnswer: 1512*sqrt(11) + 57168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 206921.668 to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - -5.13. Suppose -4*y + 9*s + 19 = 4*s, s + 3 = 0. Let h = -8 + 5. Which is the nearest to -0.1? (a) h (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1128 and 848244.\nAnswer: 79734936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2420*h + 2516. Give j(-1).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -1, -0.07, 3 in descending order.\nAnswer: 3, 0.03, -0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -27204116 less than -149176.8?\nAnswer: 27054939.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**7\/600 - 3*t**6\/400 + t**5\/100 - 5*t**4\/4 + 15*t. Let m(j) be the third derivative of a(j). Factor m(b).\nAnswer: 3*(b - 1)*(7*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -588 + -13 + 3 + -2 + -3. Let r = s + 939. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 13*a**2 - a + 4. Let r be t(-10). Let p = -211 - r. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = d - 0*d - 11, -4*l = 3*d + 6. Suppose d*b - 3*u - 17 = 0, 2*b - 2*u - 7 = 3*u. Calculate the lowest common multiple of 26 and b.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/29))\/k*k*k)\/k*k**2*(k**(-2)*k)\/(k**(3\/8)*k) assuming k is positive.\nAnswer: k**(153\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45684 divided by -54?\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07506914 rounded to four dps?\nAnswer: -0.0751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, m: 5}. Give prob of picking 2 m and 2 k.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x**2 - 10*x**2 - 4*x**2 + 60*x**3.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*t = -37*t - 10. Differentiate -t + 3 + 27*i**4 - 3 - 2*i**4 wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -25. What is the derivative of 0*b**2 + 7*b**2 + 0*b**2 - 3*b**2 - w wrt b?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 9\/((-2052)\/(-6647800)). Let m = 29151 - d. Calculate the common denominator of 21\/11 and m.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -1 + (6 - -3). Let v(h) be the second derivative of h**4\/12 + 2*h**3\/3 + 4*h**2 - h. Let r(f) = f + 2. Give z*r(q) - 2*v(q).\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7 - (2 + 9392\/((-24)\/3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y - 4. Let l be (-19)\/(-4) - 4\/(-16). Let x(t) = 20*t + 4 - 19*t - l. Let v be (-3)\/((-12)\/20) - 2. Calculate v*x(q) - r(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30870351.\nAnswer: 3, 17, 201767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -67*f**3 + 9*f**2 - 7*f + 7. Let w(n) = 33*n**3 - 4*n**2 + 3*n - 3. Give 6*p(o) + 14*w(o).\nAnswer: 60*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6887980241730+0.2\nAnswer: -6887980241729.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6 - -6.7.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 + -120. What is the smallest common multiple of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = 3*h. Let v(z) = z**3 + 5*z**2 + 2*z. What is the smallest common multiple of v(-3) and ((-2)\/(-4))\/(h\/72)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16\/29 - -202\/261. What is the nearest to i in -3, -18, -1\/7, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 10*t**2 + t - 8. Suppose 92*y = 95*y - 30. Let s be i(y). Solve -2*c - s*c - 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-2)\/2 - -2. Let c(a) be the second derivative of a**5\/20 - a**4\/12 + a**3\/6 - 3*a**2 - 32*a. Let k be c(3). Solve -2*q - b*q = k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.8, 26\/11, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*i, -3*u + 65 - 5 = -5*i. Let g = 109 - 109. Suppose 6*m - m - u = g. What is the greatest common divisor of m and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1417 - -2704. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 5. Let z be c(-7). Solve t + 3*v = z, 2*v + 0*v - 6 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/3)\/(-3))\/((-6)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -18.8684.\nAnswer: -169.8156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2885195 to the power of 1\/2, to the nearest integer?\nAnswer: 1699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -210853 bigger than -210853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832.555 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, -11217, 4, -4, 5 in ascending order.\nAnswer: -11217, -23, -4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5733, -93, 5, 0 in increasing order.\nAnswer: -93, 0, 3, 5, 5733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -1, 0, 29.9 in increasing order.\nAnswer: -1, 0, 4\/5, 29.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -3 + 0 + (13 - 0 - 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 2:55 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/4, 22, -0.04, -4, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + r)*(2256866*r**2 - 2245273*r**2 + 4*r**3 - 5*r**3 + 0*r**3).\nAnswer: -r**4 + 11593*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 5*x - 1. Suppose 2*q - 3*q + 2 = 0. What is the least common multiple of n(6) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188512128 and 7712.\nAnswer: 188512128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 928636 and 5704?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1062 (base 11) to base 8\nAnswer: 2567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 + 81*o**3 + 57*o**3 + 6*o - 8*o.\nAnswer: 138*o**3 - 2*o + 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2695*b - 7879 = 2901 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351781349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 678.7\nAnswer: 135.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65a (base 13) in base 11?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 206, 786, 1726, 3020, 4662?\n\"Answer: -l**3 + 186*l**2 + 29*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 32472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 4*r**2 - 2*r + 4. Let q be w(-5). Suppose 10*f - 6*f = -5*o - 18, f + 5*o - 3 = 0. Is q <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-100)\/33 + (-68)\/102)*(-1620)\/150.\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from llllulxlxxxuuu?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 3) in base 9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:17 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 145*n - 148*n + 5 + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 135766?\nAnswer: -135768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-5)*(-5)\/2. Suppose 5*y = o*y + 4. What is the derivative of q**2 - 4 + 1 - 4*q**y wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1858 + -1845. Is -27 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5258034 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6+316.75\nAnswer: 322.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*4\/8 + -2. Suppose -5*f + 2*x + 43 = 0, -3*x = f - o*f + 6. Suppose 0 = -3*v - 15, -4*v - 12 = 5*m - 3*m. Solve -m*p = -p + f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.5 (b) -1\/2 (c) -104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2576977331 + 2576977447.0000049. Let z = -0.382 - 115.618. Let l = z + h. Round l to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148*g**5 - 31*g**3 + 99*g**5 + 44*g**2 + 31*g**3 wrt g?\nAnswer: -2940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 10*d + 68. Let o be v(-10). What is the second derivative of -o*x + 37*x + 16*x**2 - 51*x**2 - 116*x**2 wrt x?\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*d - 26, -2*d + 2 = 4*q - 4. Factor -12 - 5*j**4 + 5 - 10*j**3 + d.\nAnswer: -5*j**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (8 - 6 - (0 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/(-980)*(-14)\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/(-31)*13\/26 and 91\/22.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4458562276 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97711355 divided by 415793.\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21977 - -29537. What is the least common multiple of 6720 and f?\nAnswer: 60480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26851 + 23322 = -1006*b + 35220 + 48773 for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, m: 6, s: 1, l: 1, k: 4}. What is prob of sequence sl?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 39. Let z(k) = 1. Give -o(r) + 4*z(r).\nAnswer: -12*r + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 5. Let c(w) = -w**2 - 11*w - 8. Let o be c(-9). Let z = -8 + o. Let x(u) = -4 + 0 + 4 + 1. Calculate z*l(s) - 11*x(s).\nAnswer: 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(42)*-1 + sqrt(42)))\/((sqrt(864) + 1*sqrt(864) - sqrt(864))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**4 + 16*t**3 - 4. Let z(c) = c**3 + c. Suppose -3*h + 2*h = -8. Let d(j) = h*z(j) - f(j). Suppose d(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30385893 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -326 + 329*a**2 - 326 + 652 as f*a + r + w*a**2 and give w.\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004329 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 8142.122\nAnswer: -8142.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccgcgggdccdc. Give prob of picking 2 g.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 832 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/27)\/(n*n\/(n**28\/n)*n) assuming n is positive.\nAnswer: n**(650\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2 = -2*t, -4474 + 4462 = 4*c - 5*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 take away 2.3?\nAnswer: -54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -16. Suppose -5*g + y - 103 = 0, -5 + 0 = g + 5*y. Let b be (24\/30)\/((-104)\/g). Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 582412.\nAnswer: -21\/582412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9696009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 680 + 273 + h + 671 + 680 - 2304.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(24288\/132)*14\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3593 - 7493. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(4\/3)*t)\/t*(t*t*t**5)\/t)**(-1\/9) assuming t is positive.\nAnswer: t**(-22\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -745.8 + 1060. Let g = i + -314. What is the biggest value in 0.13, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -130)*(-3)\/(-6). Let i = -19 - c. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -33. Put 1, t, 3, -4 in descending order.\nAnswer: t, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000237121 to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*k + 9*k + 8*k)*(-3 + 9 + 9)*(3*k - 2*k - 2*k).\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2. Let m(u) = 4*u**2 + u + 1. What is -2*m(d) + 3*s(d)?\nAnswer: 4*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.08.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55.6 - -52. Let v = -3.5 - a. Which is smaller: v or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 41*j + 3. Let z(r) = 82*r + 10. Give 7*o(b) - 3*z(b).\nAnswer: 41*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4639.5l in millilitres?\nAnswer: 4639500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 5*d**2 + 3*d + 2. Let f be b(-5). Let j = 24 + f. Suppose k = 2*v + j, -2*v - v - 14 = k. Solve s + 2 = k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 438, -2 in ascending order.\nAnswer: -2, 2, 5, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - r - 36 = 4*i, i - 3 = -r. Let f = 13 - r. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2805311126 to the power of 1\/2, to the nearest integer?\nAnswer: 52965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 5*d - 63 = 4*m, 2*m - 20 = 4*d. What is the greatest common divisor of m and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l**3 - 18*l**3 - 11*l**3 - 23*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55479415?\nAnswer: 5, 17, 652699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 193691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 10:06 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1160)\/2100 - (-3)\/((-18)\/(-4)). Let p = -21.3 - -21. What is the third smallest value in y, p, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.64 at least 504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80 and -1028687.\nAnswer: 82294960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40.52 and -0.01.\nAnswer: 0.4052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -94, -4 in descending order.\nAnswer: -1, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 9:55 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 613 and 18071240.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 3\/4, 4\/7, -6, 0.2 in ascending order.\nAnswer: -6, -1\/10, 0.2, 4\/7, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:29 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d - 10. Let u = -1.12 + 0.02. Let x = -0.9 - u. Which is the closest to x? (a) d (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.82 + 0.18. Let j = -9 + g. Let f = 47 - 47.4. Which is the fourth biggest value? (a) j (b) -2 (c) 2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:47 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165007.\nAnswer: 157, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 5*q**2 - 2*q. Determine d(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-4))\/((-1)\/5). Let k = p - -10. Which is smaller: k or -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -16, 7 in descending order.\nAnswer: 125, 7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2493 + 2721. What is the least common multiple of h and 114?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60369962 divided by -10?\nAnswer: -30184981\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2131?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 830210651 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 22*w. Let u(q) be the second derivative of q**5\/60 - q**2\/2 + 13*q. Let z(k) be the first derivative of u(k). What is z(j(x))?\nAnswer: 484*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.28 (b) -0.2 (c) 4 (d) -7 (e) -2\/5 (f) 21 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169178 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 1128*g + 134379. Calculate i(-393).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/3*2\/4. Let q(w) = w**2 + 2 - 1 - 1. Give q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1409632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 - 5*f**2 + 2*f - 2. Let z(o) = -65*o + 474. Let b be z(7). Calculate the remainder when a(4) is divided by b + (-9)\/27*-15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7436081?\nAnswer: 7436081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 714285*u - 5. Let t be d(-7). Round t to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1123639*l**6 + 22*l**2 + 25438*l wrt l.\nAnswer: -134836680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 13. Let a be j(-8). Let v(q) = -3168 + a*q**2 + 3168. Let l(w) = -3*w. Determine v(l(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.08. Let v = 0.02 - s. Let i be ((-8)\/5 - -1)*(-4)\/(-6). Which is the biggest value? (a) v (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1054319 by 43.\nAnswer: 1054319\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2557848 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -72\/140525 and 113\/868700.\nAnswer: 9555700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 3. Let i(x) = x**3 - x**2 - x + 2. Let c be i(0). Suppose -3*f + 35 = -c*f. Calculate the remainder when f is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 6 - (0 - (-4 - -7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + -17 + -73 + 28\/(-3).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 6) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 11*m**2 - 4*m - 3. Let i(v) = 23*v**2 - 7*v - 5. Let p(r) = 3*i(r) - 5*n(r). Is 5 a factor of p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (50\/30)\/(1\/3). Find the common denominator of 9\/(-8)*28\/(-6) and (-4)\/(-14) - ((-115)\/(-56))\/a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8886 (base 11) in base 15?\nAnswer: 370a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 11*x**2 + 13*x - 17. Let d be t(10). Suppose -196 = -d*m + 2001. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(170)*-5*-5)\/((sqrt(120) - (sqrt(120) + 4*sqrt(120)*-2) - sqrt(120))\/(-1*sqrt(300))).\nAnswer: 1125*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/18518 and 69\/1034.\nAnswer: 203698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+10151159318\nAnswer: 10151159317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 329745093 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113770769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 18. What is the remainder when 186 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15072313?\nAnswer: 15072313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -17 - (-7 - (-3 + 6 + -5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 3*o + 0*o - 7 + 5. Let c(d) = 6. Let g(f) = -c(f) - 2*y(f). Determine g(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/120 + r**5\/12 + r**4\/24 + 2*r**3\/3 - r**2. Let w be 301\/(-63) + (-4)\/18*1. Let v be k(w). Is 1\/11 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 936, 1871, 2802, 3723, 4628, 5511?\n\"Answer: -g**3 + 4*g**2 + 930*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2, -34, -4, -3 in decreasing order.\nAnswer: 46, 2, -3, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 3*y**3 - 4. Let v(x) = x**2. What is v(z(n))?\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 16. Let q be k(-6). Calculate the smallest common multiple of 9 and ((-10)\/(-8))\/(q\/(-16)) + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 3*r. Let c be w(-3). Factor 1\/5*k**4 + 0 + 0*k**2 + 0*k**3 + 1\/5*k**5 + c*k.\nAnswer: k**4*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 38. Let k = 52 - 12. What is the greatest common factor of r and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 5*w**2 - 5*w**2)*(-316*w + 311*w + 5 + 32).\nAnswer: 10*w**3 - 74*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - x = -4, -84 = -x - 79 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 460 + 101. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) -4\/9 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 10 + 5 + 7 - 2.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8780587.\nAnswer: 47, 227, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t + 14. Let g(w) = -2*w**2 - 33*w - 18. Let f be g(-16). Let r be y(f). Solve m - r*l - 4 = 0, -5*m - 4*l = -16 - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29842*b**2 + 2*b - 88143.\nAnswer: -59684*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 10. Let i be f(7). Let n = -0.7 - -1. Let j = 0.5 - n. Which is the closest to -2? (a) j (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - b**2 - 4*b**2)*(-2288 - 2356 + 7084 - 2*b**2 + 3782).\nAnswer: 2*b**4 - 6222*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -15 (b) 3 (c) 6 (d) 2\/7 (e) 0.3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.96. Let i = -0.12 - u. Let t = i + -5.16. What is t rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3893518 - -784.\nAnswer: 3894302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 436982.3mg?\nAnswer: 436982300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 89*f - 18*f**2 + 6 + 3*f**2 - 1 + 13*f**2 - 11*f**3 - 4 as u*f**3 + r*f**2 + p*f + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 23*a**2 - 16*a - 82. List the prime factors of x(-5).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1019735014, 1019735016, 1019735018, 1019735020?\n\"Answer: 2*n + 1019735012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + -9 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122826320 by 4.\nAnswer: 30706580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 2:42 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trvr when four letters picked without replacement from hvrtrttvrrrvrtvv.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*u**2 + 44*a**2 + a*u + 21*u**2 + 64*u wrt a.\nAnswer: 2*a*u**2 + 88*a + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*m - 2*m + 9, 4 = -4*b - 4*m. Suppose -t = -2*t + 2, 2*r - 12 = -b*t. Solve 2*z + z**r - z + 0*z - z**2 - z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:34 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 7*q + 2. Suppose -4 = t - 3*f + 5, 2*t + 2*f = 22. Determine a(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7090*l - 1482. What is the thousands digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by -1113951?\nAnswer: 22\/371317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 - 358*j**2 - 864*j**2 + 133*j**2 - 172.\nAnswer: -1089*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1594 + -1590. Solve o*x + 3*s = -15, 25 = -4*s + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 4*g**3\/3 - 5*g**2\/2 - 3*g - 26. Let l(r) = 4*r - 2. What is 3*f(s) - 7*l(s)?\nAnswer: -4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**4\/4 + 7*c**3\/3 - 8*c**2 + 7*c + 19. Let l be o(-9). Let x = 14 + l. Solve 4 = 2*u - x*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 19. Let f(h) = 25*h**2. Give t(f(v)).\nAnswer: -50*v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(506\/(-1633)) - (10\/4)\/((-2)\/(-4)).\nAnswer: 16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 698*v - 5587. What is h(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -211342243 (base 5) to base 6\nAnswer: -31003222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3293*g. Let p(u) = -9876*u. Determine -2*p(m) + 7*z(m).\nAnswer: -3299*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18410182 is divided by 239093?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41307*-9.4.\nAnswer: -388285.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 285 = -3*n - 3*w, -5*n - 3*w = -467. What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in 1, 1\/5, -172.372, -3, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 + 11*w + 12. Let y(b) = -b - 3. Let o(f) = -x(f) - 3*y(f). Give o(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -313. List the prime factors of y.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -6?\nAnswer: -83\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2026 is divided by 541.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-1) + -1 + 1. Suppose -5*w - 9 + x = 0. Suppose w = m - 9. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208 - 233 + 13)*(2*w + 3*w - 3*w) + 0*w - 3*w + 0*w + (2 + 0 - 1)*(-3*w + w + 3*w).\nAnswer: -858*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 60270?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6936687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 45*-0.05\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -436321860*v**2 + 511177169 wrt v?\nAnswer: -872643720*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -163561 (b) -1 (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 2*u**2 + u - 2. Let w be q(2). Suppose -4*o - 11 + 47 = w. Suppose 0 = 3*i - 12. What is the remainder when o is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 26 + -27 + 14 + -4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1844282.\nAnswer: 184428.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.161 - 10.161. Which is the biggest value? (a) 0.08 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122101212001 (base 3) to base 4.\nAnswer: -1103213323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 312. Suppose 4*o - 58 = w. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 27) + 23 + 1 + -9 + 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 492227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/4*14. Let p be (16 - 14)\/((-4)\/10). Let w = p + k. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 6*o**2 + 2*o**5 - 3*o**5 + 6*o**5 - 2*o**5 - 2*o**5 + (-2*o**3 - o**4 + 2*o**3)*(6*o - 3*o - 4*o).\nAnswer: 2*o**5 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7933 and 73.\nAnswer: 579109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3\/7, -4\/5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(4 - (1 + 2)) + 4. Solve 0 = -y*h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*x + 15. Sort -3, 8, x in descending order.\nAnswer: 8, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 142. Sort -19, q, 2 in decreasing order.\nAnswer: 2, q, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*y = -6*y + 9, 15 = 5*d - 4*y. Suppose -d*x + 25*x = 6776. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8179, 25, 4, -9 in descending order.\nAnswer: 8179, 25, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 4*u**2 + 2*u - 18. Suppose 5 = -42*b + 41*b. Let x be p(b). Let g be (-34)\/51 + 17\/3. Put -5, g, x, 1 in descending order.\nAnswer: g, 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 1.5. Let o = d - 0.6. Let k = -1 - -1. Which is the closest to k? (a) -3 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2710 and 4410?\nAnswer: 1195110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1814299\/(-258) + 10\/(-6). Let j = l - -7054. Find the common denominator of j and (-2)\/(-8)*-1*-27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 758, 5, 2\/3, 478\/3?\nAnswer: 758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(704) + sqrt(704) - sqrt(44))\/sqrt(4) + 1 + -1 + sqrt(396) + (3*(sqrt(396) + -1))**2.\nAnswer: -107*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -898 = -2*h - 3*o, -448 = -4*h + 3*h - 2*o. What are the prime factors of h?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, v: 3, r: 1}. Give prob of sequence rv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 99416884 to the power of 1\/2, to the nearest integer?\nAnswer: 9971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -84232681 - -148586423999\/1764. Let j = h - -1\/1764. Calculate the common denominator of j and 40\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.2, -35 in decreasing order.\nAnswer: -0.2, -2\/3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7)\/l)\/l)**(-29)*(l**2*l)**(-34) assuming l is positive.\nAnswer: l**(-250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 4*x + 6. Let f be a(-6). Let n(s) = 35*s + 107. Let h be n(-3). Solve -5*d - f = 2*m + 2*m, d = -h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28\/13 - 334\/143. Suppose 0 = -425*v + 325*v + 300. Let t = 5.5 + -6. Sort y, 0.02, t, v in decreasing order.\nAnswer: v, 0.02, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 - 60. Sort -2, m, 0, 12 in decreasing order.\nAnswer: 12, 0, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/2 - (-85)\/42)\/((-13)\/(-78)). Sort -1\/3, -1\/4, -3, -12, t in descending order.\nAnswer: t, -1\/4, -1\/3, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2\/4*0. Differentiate 3 - 3 + j + 2*h**3 + 2 wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8272 is divided by 1377.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**6\/((p*p*(p\/(p**(-5)*p)*p)\/p*p)\/p*p))**(-42)\/((p**1)**32*(p**2\/p*p)**(-22\/3)) assuming p is positive.\nAnswer: p**(200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-389)\/2 + 2\/(-4). Suppose 60 + 46 = -l. Let f = l - w. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 120*z**2 + 24. Calculate the lowest common multiple of 24 and o(60).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.039 and -0.36.\nAnswer: -0.01404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**5\/7 - 318*z**4\/7 - 17820*z**3\/7 - 426600*z**2\/7 - 3726000*z\/7 = 0.\nAnswer: -69, -30, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 499507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + v - 4. Let u(h) = -h**2. Give t(n) - u(n).\nAnswer: 2*n**2 + n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + f + 1. Let x(r) = 18*r**2 - 15*r - 1. Let j(h) = k(h) + x(h). What is the second derivative of j(t) wrt t?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3182\/1157 or -3?\nAnswer: -3182\/1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11\/4, -1, 5?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(119)*4 + sqrt(119)*-1*2)\/((sqrt(49) + sqrt(196)\/sqrt(4) + sqrt(49))\/sqrt(7) - 3*sqrt(28)))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556, 617, 692, 787, 908, 1061, 1252, 1487?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 23 - 22 = -o, -4*o - 5*x = -130. Let z be (-4 - 32\/(-7))*o\/50. Which is the third biggest value? (a) z (b) 2\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1539, -1534, -1529, -1524?\nAnswer: -1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.507 + -0.043. Let s = v - -0.05. Let g = -16 - -11. What is the second smallest value in 0, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3663634t in kilograms?\nAnswer: 366.3634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/25)\/(2\/(-25)). Let m = 22 - x. Solve 3*c + j - 5*j + 26 = 0, 20 = -5*c + m*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/2 - 5189*c**2\/3 - 23109*c\/2 + 12131\/3 = 0. What is c?\nAnswer: -7, 1\/3, 3466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**9\/252 + 2*o**8\/21 - o**6\/6 + 14*o**5\/15 + 3*o**4\/8 - o**3 + 1560*o**2 + 1. What is the third derivative of p(q) wrt q?\nAnswer: 240*q**3 + 1920*q**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, 75, 206, 401, 666, 1007?\n\"Answer: a**3 + 23*a**2 - 3*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - -28. Sort 1, -4, c, 4.\nAnswer: -4, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 611\/5, 0?\nAnswer: 611\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2650, 5399, 8146, 10891?\nAnswer: 13634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/15, 3\/2 in increasing order.\nAnswer: -7, 1\/15, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(19)*-1 + -3.\nAnswer: -sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170989936 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 0*v**2 - v + v**4 + 0*v**2 + 2*v**2 - 2*v**3 as t*v + d*v**4 + u + y*v**3 + w*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 - -1?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-180))\/((-18)\/24)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.8 - 17.6. What is the third biggest value in 2\/3, -2\/17, -15, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -4 + -5 - (4 + -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1382 or 1370?\nAnswer: 1382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -1, 3, 4, 19 in ascending order.\nAnswer: -65, -1, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-39 + 51 + 2*(-145)\/40)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000460010683 to 7 decimal places.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*g**6 - 131293*g**4 + 2*g**3 + 103627851*g**2 wrt g?\nAnswer: 3120*g**3 - 3151032*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 28, 22, 14, 4?\n\"Answer: -a**2 - a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1223 - -10303?\nAnswer: 12132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210) - sqrt(1210)*2)\/(sqrt(8)\/sqrt(4)*3))**2.\nAnswer: 605\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5028926 kilometers?\nAnswer: 502892.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34417*x + 4*x**2 + 32*x**3 + 34417*x.\nAnswer: 32*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-108)\/26 - (-16)\/4. What is the third biggest value in -2, 0.2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7368 + -7368.016077. Let d = n - 0.030049. Let t = d + 0.046. Round t to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-44)*(-3 - 5 - -10). Let d = 43 + -44. Which is smaller: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - -321. List the prime factors of v.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - p**2 + p. Let x(w) = 340*w**3 + 85*w**2 - 85*w. Determine -85*u(g) - x(g).\nAnswer: -170*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = 1. Let o(m) = m**3 - 5*m**2 - 5. Let r(f) = -f**3 + 5*f**2 + f + 5. Let x(c) = -3*o(c) - 4*r(c). What is the units digit of x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 13*t + 12. Let v be j(12). Sort v, 5, -3 in increasing order.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dtdwdddtctdwtwttdw. What is prob of picking 2 d and 1 t?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*w - 101, -2*r - 2*w = w - 43. Let i be (52 + 15\/(-3))*1. Let h = i - r. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 7*h**2 + 3. Determine s(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 103, -181 in descending order.\nAnswer: 103, -5, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**2 + 141*l - 259. List the prime factors of k(-15).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464168 is divided by 1934.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 3*d**4 - 6*d**4 + (-2*d**2 + 2*d**2 + d**3)*(2*d + d - d) + 0*d**4 + 4*d**4 - 5*d**4 - 4*d**4 + 4*d**4 + d**4.\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 423106865784\/198883391 - -2\/11699023. Let m = -2128 + u. Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 279*n**2 - 408*n - 9. What is the thousands digit of z(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 19 - 31 = 0. Which is the second biggest value? (a) 4 (b) x (c) -0.3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*a + 3 = 5*v, -15 = -5*a - 3*v for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-9) + (-2 - 4). Let d(c) = -c**3 - 10*c**2 - 7. Let z be d(o). Let v be z\/3 + -1 + (-93)\/(-31). What is the third smallest value in -3, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 77*w. Let s(m) = 3 + 1 + 8*m**2 + 3 - 2*m**2 - 3. Let b(d) = 10*d**2 + 7. Let l(y) = -4*b(y) + 7*s(y). What is g(l(c))?\nAnswer: 154*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 97*z - 33*z - 38*z - 32*z + 30. Give v(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6428 and 111\/22498.\nAnswer: 44996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 14144628?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 1 - 14 + 54*x**2 + 2*x.\nAnswer: 54*x**2 + 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114 - 77 + 106)*(-3*s - 3*s**4 + 3*s) to d*s**2 + q*s**3 + l*s + v + k*s**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 26. Let l be p(-11). Let r(x) be the third derivative of 0*x**l - 1\/180*x**6 + 3*x**2 + 0*x**3 + 0 + 0*x + 1\/90*x**5. Let r(m) = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/60 + 7*k**4\/24 - k**3\/6 + k**2. Let b be 2\/(-9) + (-168)\/(-27). What is the units digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 11*g**2 + 2*g + 2. What is the remainder when y(11) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 781814 to the nearest ten thousand.\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7604, -15205, -22804, -30401, -37996?\n\"Answer: r**2 - 7604*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:34 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -81. Suppose -2*o = -4*y + 68, -3*y + o + 23 = -f. Let m = -9 + y. Calculate the lowest common multiple of 11 and m.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*j**4 - 26620518*j - 1144954089 with respect to j.\nAnswer: 52*j**3 - 26620518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/3 - 1\/3. Let l(p) be the third derivative of 5*p**4\/24 - 50*p**3 + p**2 + 115*p. Let u be l(60). Solve 4*j + 17 = 5*c, s*c + 1 = -u*j - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 + 100*b**2 + 548*b + 420. Let j(r) = 2*r**2. Let v(u) = a(u) + 12*j(u). Find n, given that v(n) = 0.\nAnswer: -3, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/32)\/(33\/72)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 371*v - 819. Give n(0).\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -41*z**2 - 26*z - 12*z + 20*z**2 + 23*z**2 - 43. What is p(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-78)\/(-16))\/((-2)\/(-8)). Let a = w - -43. Solve 3*l + 10 - a = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 16) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 174 and 27.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 122 (b) -9 (c) 0 (d) -2\/5 (e) -5 (f) -0.07 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - 37*l + 11. What is b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 1. Let p be i(3). Does 8 divide -4*3\/(-6)*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9*g**2 + 4*g + 8. Does 12 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:40 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*-1)**2 + sqrt(13) + (sqrt(156)\/(sqrt(24)\/sqrt(2)))**2.\nAnswer: sqrt(13) + 1885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1753 is divided by 4\/(-20)*-4395 - 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122928 or 125817?\nAnswer: 125817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -496817059 to the nearest ten thousand.\nAnswer: -496820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(128) - (sqrt(128) - (1*sqrt(128) + sqrt(128) + sqrt(128))))*4 + 3 - (0 + 3*(sqrt(128) + sqrt(128) + -1 + 0 + sqrt(128))))**2.\nAnswer: -6624*sqrt(2) + 609444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 725 + 82*n + 93*n - 736 + (4 - 2 + 0)*(0 - 2*n + 0) to the form o*n + q and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*o + 2 = 0, 0*o = 5*a - 2*o - 29. List the prime factors of -3*(-326)\/a - 32\/(-112).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102881 (base 9) to base 11.\nAnswer: 42002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2335 (base 12) to base 13.\nAnswer: 1a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -15*m**4 + 1415*m**3 - 4570*m**2 + 1780*m + 3640 = 0.\nAnswer: -2\/3, 2, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 0.082 (b) 12 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g**(-1\/22)*g)\/g*g)\/(g*(g*g*g*g**1)\/g*g)*(g\/(((g\/(g\/g**(-2\/3)))\/g)\/g))**(2\/107) assuming g is positive.\nAnswer: g**(-21023\/7062)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332733322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.6 - -31.48. Let k = 0.12 + q. Let i = 814 - 811. Which is the smallest value? (a) 4 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7522866*j**2 + 4795635 wrt j.\nAnswer: -15045732*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-4)\/488). Suppose 4*i + 91 = -p. What is the tens digit of (-414)\/(-5) + i\/10 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.0366 rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = -5*f - 0, 4*t = -f - 18. Suppose -o - 5*b = 24, 2*o + f*b = 7 - 23. Is 21*(2 + o\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310290308 a multiple of 4542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72\/(-180) + 4\/(-90). Sort -6\/11, -1, 12, x.\nAnswer: -1, -6\/11, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 3*t + 16. Suppose -29 = 2*x - 5*j, 0 = 4*x + 3*j + 20 - 1. Does 21 divide u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from ebbnbeeenebbn?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 18*j**2 + 11*j - 6. Let h(a) = -35*a**2 - 23*a + 14. Determine 3*h(i) + 7*y(i).\nAnswer: 21*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 359357.\nAnswer: 359357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1527 + 8*a + 40*a**3 + 507 + a**2 + 509 + 510 to v*a + h + g*a**3 + p*a**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, v: 1, p: 6, m: 2, g: 1, u: 8}. Give prob of picking 2 u, 1 m, and 1 g.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33976, 67796, 101478, 135022?\nAnswer: 168428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15b + -5458?\nAnswer: -55b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.3 (b) -1.19 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -1)*42\/70?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 + 17.26. Which is the second biggest value? (a) -5 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8243731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-1379))\/2)\/(245\/490)?\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4228 = 4*z - 3304, -3*z + 5646 = -3*n. List the prime factors of z.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.128752 minus 0.06?\nAnswer: -1.188752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -4 - (166 - 36)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1430043 + -14?\nAnswer: -1430101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 42*t - 189. Let s be p(16). Let n = 495 - s. Solve -4*m = -4*q - n, q - 5*m = 6*q - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23312 + 4?\nAnswer: 23321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 533196*x**4 - x**2 - 532779*x**4 + 3*x**2 - 5*x as y + t*x**2 + m*x + a*x**4 + g*x**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1482 + 1490. What is the smallest value in -1, n, 0.6, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 2\/3, 8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -80.7. Let r = p - 5. Let v = r + 0.5. What is the closest to -1 in 5, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222 - -121123?\nAnswer: 113301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Sort 5\/4, -3\/13, -0.2, u.\nAnswer: -3\/13, -0.2, 5\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -c - 3, 3*j = -2*c - 2*c - 12. Suppose 5*q + j + 5 = 0. Is (-2)\/q*127\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u + 7. Let g(r) = -7. Let i(l) = -l. Let x(n) = g(n) - 5*i(n). Let v(c) = 7*p(c) + 6*x(c). Let s be v(-6). Let b(y) = y**2 + 6*y - 2. Give b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - 3*w)*(2*w**2 + 2*w**2 - 6*w**2) + 0*w**3 - 5*w**3 + 2*w**3 - w**3 + w**3 - 2*w**3 + (0*w**3 + 3*w**3 - w**3)*(-3 + 2 - 2).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 - -2147131?\nAnswer: 2147263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1074 - -1645. Let x = q + -556. Solve 0 = 5*h - 5 - x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xkwxjtxkkmkt. What is prob of picking 1 k, 1 m, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)\/s*s**2\/s)\/s**(-7))\/((s**(-1)*s*s**0)\/s**(-2\/37)) assuming s is positive.\nAnswer: s**(2239\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/6))**16)**31*(d**10*d**(-8))**(-1\/7) assuming d is positive.\nAnswer: d**(-1742\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -3726.469.\nAnswer: 11179.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 278?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1203 + -1202.95. Is 1\/6 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + o + 2)*(4*o - 4*o - o) + 0*o**2 + 0*o**2 - o**2)*(-947*o**3 - 1150*o**3 - 1982*o**3).\nAnswer: 8158*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 0.2386039186?\nAnswer: 0.5386039186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 12 = -2*m, -2 = 5*m + 2*z - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 570 + -605.3. Let a = 35.2999907 + f. Round a to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46.0839 - 0.0039. Let q = -1.08 + c. Let u = q - 45.00029. Round u to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - -0.46. Let g = 0.05 - i. Let o = 2.4 - 0.4. Which is the closest to -0.1? (a) g (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2456 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o + 17 + 141*o - 25 + 33 - 25.\nAnswer: 180*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 27 - (0 - 11)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26485 is divided by 13191.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2104, -1\/3, 0.5, -1, -8, 5?\nAnswer: 2104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let i(g) = 1 - 2*g**2 - g**3 - g + 4*g - g**p. What are the prime factors of i(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, 71, 98, 145, 218, 323, 466, 653?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 8712 = 37*g - 4*h, 2*g - 5*h - 4359 = 0. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/176 and -19\/173296.\nAnswer: 1906256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejrjjermmmjerrrjreme. What is prob of sequence mjjr?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 2*i + 3*i + 34.\nAnswer: i + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*k = 73*k - 608. Do -41 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -955, -1, 1, -4 in increasing order.\nAnswer: -955, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b - 3*b. What is the units digit of 3 + (b - 40)*(-44)\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*q + 1890*q - 19745 = 24575 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 5*j - 1. Let a(n) = n**2 - 3*n. Let k = 0 + -3. Let v(m) = -34*m - 75. Let l be v(-3). Suppose -15*o = -l + 102. Determine k*f(p) + o*a(p).\nAnswer: -2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -30. Suppose z = -14*q + 18*q. Find the third derivative of -3 + 0*v**2 - v**6 + 3 + q*v**2 wrt v.\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5 = -59. Suppose h*r - 37 = 665. Suppose -5*i + r = f, 5*i - 24 = 3*i - 4*f. Calculate the highest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 6. Suppose 0 = -5*k + 5*q + 615, -w = -5*q - 6. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 - 2)*(-19*f**2 + 63*f**2 - 33*f**2) + 0*f**2 + f**2 + f**2 to o*f**2 + p + m*f and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n. Let d(l) be the second derivative of -2*l**3\/3 - 24*l. Let h(g) = -5*g. Let b(v) = 2*d(v) - 3*h(v). Give 5*b(y) + 4*k(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3060 (base 9) to base 4.\nAnswer: 203001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13188 divided by -6.\nAnswer: -2198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-7)\/((17*(-32)\/15776)\/(6\/(-87)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28 and -20.335.\nAnswer: -5.6938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -307, -615, -923?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1542? (a) 2 (b) 0.01 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2124*a + 1182. What is the tens digit of n(-16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**5\/60 + g**4\/9 + 5*g**3\/18 + g**2\/3 - 7*g. Determine b, given that j(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0295 + 0.04\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1037107 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 42.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -23. Sort l, -3, -25 in decreasing order.\nAnswer: -3, l, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-88527)\/207)\/(-1 - (-8)\/12)?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-21 + 13) - (-5 - (-2 + 5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 14. Let p be a(0). Suppose p = 2*d - 10. Calculate the remainder when 23 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3638 and -38\/14225?\nAnswer: 51750550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 25 - 11*v**2 - 25*v**2 - 2*v**3 + 8*v**2 - v. Let r be l(-28). Solve r*k = 3*p + p + 29, 0 = -2*p + 4*k - 22 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 566.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/29 + 52\/87. What is the nearest to y in 0.01, -1\/3, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from wewewe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -25*z**2 - 1. Let f(h) = 663758*h. Determine j(f(y)).\nAnswer: -11014367064100*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q**5\/5 - 7366*q**4\/5 - 1946074*q**3\/5 - 860784*q**2 + 5573925*q + 1653750 = 0 for q.\nAnswer: -525, -5, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-45) + 13\/(-5) + -2. Let z be (4\/j)\/(2\/(-10)). Solve -z*i - 6 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-38 - ((-5 - -5) + -12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 111. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175875444?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2741 + 10584*b + 1734*b**2 - b**4 - 3*b**4 - 282*b**2 + 16*b**3 + 12811.\nAnswer: -4*(b - 24)*(b + 2)*(b + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 0*u**2 + 3*u**2 + 0 - u**2 + 0 + (3 - 3 + 25*u)*(-2*u + 2*u - 3*u) - 3*u**2 + 0*u + 0*u.\nAnswer: -74*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-1)\/(-1))*-8. Let o(d) = -d**3 + 9*d**2 - 4*d + 1. Let c be o(i). Let t = c - -57. What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/32 and 37\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-11 - (8 - 20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 259 - 259.1. Which is the closest to -0.2? (a) -2\/11 (b) 0.11 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 16*o**2 + 17*o - 29. Let t = 16057 - 16042. What is y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 1. Let g be m(-1). Let l(c) = 2*c - 4. Let s be l(g). Suppose -4*b + 18 = r + b, -3*r + s*b = -105. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -312*p - 759. What is s(-3)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 56 (b) 5\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.9 + 13.8. Which is the third biggest value? (a) r (b) 4 (c) -3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16559*s**3 + 7675*s?\nAnswer: -99354*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**3\/18 - 5*j**2\/6 - 3*j\/2 + 303. Factor v(x).\nAnswer: -(x + 1)*(x + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - 7452*q**2 - 2810*q + 253294. Give j(-1490).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -2, 739 in descending order.\nAnswer: 739, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3672 and 5184.\nAnswer: 88128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -268999540 divided by -53799908\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32170, 128689, 289556, 514771, 804334, 1158245?\nAnswer: 1576504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 547 - 313. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 38. Suppose -w - t*p = 21 - 60, 3*w - 187 = -p. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/5894 and -58\/9359.\nAnswer: 7880278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72335 is divided by 1087.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(91)\/sqrt(252).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 55 = -a + 509, -2*b - 1650 = -3*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292018461.\nAnswer: 9689, 133349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0*y - 9*i - 80 = -4*i - 40, -4 = i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 1. Let d be q(-1). Let l(n) = -27*n + 1. Calculate the remainder when l(d) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2193?\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qadr when four letters picked without replacement from vavddaqr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from kkkkfffqqqf?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 262 - -22212?\nAnswer: 22504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22013 (base 4) in base 6?\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 216457574.39 + 0.0262\nAnswer: 216457574.4162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*r - 2*u, 2*r + 0*u = -3*u + 21. Suppose -r*w + 157 = -5*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*o**3 - 8*o**3 - 1857*o**5 + 5856*o**5 + 2060*o**2 - 11*o**3 wrt o?\nAnswer: 239940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/9*-1)\/((-8)\/(-36)). What is the fourth smallest value in -1\/3, k, 0.11, -1\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 801, 12134, 42859, 102660, 201221, 348226, 553359?\nAnswer: 826304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + 6. Find the first derivative of 0*b**4 - 37 - 7*b**4 - o*b**4 + 11 wrt b.\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*p + 49*p + 4*p**2 + 10*p - 48*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41, -84, -127, -170, -213, -256?\n\"Answer: -43*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0*i + 0 + 11*i**2 + 0*i**4 + 1\/180*i**5 - 2\/9*i**3. Factor x(l).\nAnswer: (l - 2)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -228.\nAnswer: -5\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5386841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 404252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - (125 - 133 - -85).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3531503294?\nAnswer: 2, 11, 160522877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - 49*c - 141. Determine k(-20).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**5\/6 - s**4\/3 + 59*s**3\/6 - 8*s**2 + s. Is u(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + 67 + -64 + (-9 + 41 - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 4. Suppose -6*q + 4*f - 20 = -2*q, 0 = 2*q + 5*f + 3. Let r be y(q). Solve j - 4*c = -r*c + 7, 4*j + 5*c = -14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49677.\nAnswer: 3, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 2:43 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c**2 + 7. Suppose -85 = 3*s - 8*s. What is the remainder when j(-3) is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let t(i) = -22*i**2 - 6*i - 6. Let j = 266 - 265. Let y(m) = j*t(m) + 6*v(m). Let l(g) = -6*g**2. Determine l(y(r)).\nAnswer: -2904*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1433 = 11*p - 2368. Calculate the least common multiple of p and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -70, -224, -522, -1012, -1742?\n\"Answer: -8*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - -16 - (2 + -2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4844.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 794\/3 - 18256\/69. Are 44\/3 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0331996 rounded to three dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**6\/360 + r**5\/12 + 13*r**4\/24 + r**3\/3 - 1. Let x(s) be the third derivative of t(s). Is x(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/55 + 56\/(-10). Let i = 46 + -133. Let l = -91 - i. Put -8, v, l, -2 in descending order.\nAnswer: -2, l, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 285, 289, 295?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 35 = 2*v + 3*k, 4*k - 5 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 3*a**3 + 10*a**3 - 19*a**3)*(0 + 2 - 1) in the form s + r*a + x*a**2 + v*a**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 507197.6 kilometers in millimeters?\nAnswer: 507197600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 5*j + 5. Let a(x) = 3*x**2 - 15*x - 14. Let w(l) = 6*a(l) + 17*c(l). What is w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13101288 (base 9) in base 7?\nAnswer: -105500450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39274, 39241, 39154, 38989, 38722, 38329, 37786, 37069?\nAnswer: 36154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 605*g + 603. Give y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 597 - -1162. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3121*3\nAnswer: -9363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -3\/4 (c) -2\/3 (d) 1099\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13*w**2 + 2*w + 4. Let v(b) = -26*b**2 + 3*b + 7. Let c(i) = 5*t(i) - 3*v(i). Calculate c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361*y + 175*y + 178*y + 14)*(-2 + 2 + 2)*(-y**3 + 3*y**3 + 7*y**3).\nAnswer: -144*y**4 + 252*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let z be 1\/2 + (88\/(-16) - 0). Let j(f) = 3*f. Suppose 3*o = -o + 48. Determine o*c(g) + z*j(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -772 divided by 386\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3715, 3665, 3615, 3565?\nAnswer: 3515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183540 = 2081*i + 34362 - 47260 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185203 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 4, k: 1}. Give prob of picking 2 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -8*n**5\/21 + 1910*n**4\/21 - 26078*n**3\/7 + 80710*n**2\/3 + 811442*n\/21 + 7920 = 0.\nAnswer: -1, -1\/4, 11, 40, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m**2 + 12*m - 2. Let n(b) = -14*b**2 + 14*b - 2. Let r(f) = -6*l(f) + 5*n(f). Let h be r(2). Is h equal to 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 26*i - 6. Let l be 1\/3 + (-14)\/(-21). Suppose 9 = -4*s - 3, -a = s + l. List the prime factors of r(a).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 6 = -8*b. Suppose -b*m - 26 = -4*m. Suppose -40 = -3*w + w + 3*g, -3*w - 4*g + m = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-nine fifths of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y**5 + 4*y**4\/7 - 400*y**3\/7 + 256*y\/7 - 64\/7 = 0.\nAnswer: -2, -1, 2\/7, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 28. Let q(t) = t**2 - 5*t + 9. Let r be q(7). Suppose 69 + r = 5*l - 4*m, l = m + 18. Solve l = -o - f*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*f - 4. Suppose 2*l = -2*j + 10, 0*j = 5*j + f. Solve -l = -2*b + 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158*24\nAnswer: 3792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 468*j + 70*j - 10760 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from 172.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a factor of 18607410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:40 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1033*c - 1155*c + 29*c + 2*c**3 - 4*c**3 in the form v + k*c**3 + p*c**2 + a*c and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + -7 + (-35 + 6 - -36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 47 - 35 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 + 8487*q - 16966*q + 8480*q.\nAnswer: q + 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*r + 146 = -88. Let t(v) = -v**3 - 8*v**2 - 9*v - 8. Let g be t(-7). Suppose g*p - 16 = 2*p. What is the greatest common factor of p and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1440 - -4394\/3. Let n = 12\/175 + 25351\/350. Let v = n - 81. What is the common denominator of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 78 = 5*a. Let r be 309\/45 - (-2)\/15. Calculate the highest common divisor of r and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37673, 75274, 112875, 150476?\nAnswer: 188077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 5 = 14*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4444 - -1567.21244.\nAnswer: 1566.76804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 5*a**2 - 14*a + 7. Suppose 10*v = 13*v - 21. Let y be o(v). Calculate the highest common factor of 63 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.58 from 274852.\nAnswer: 274851.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13278 + 13282. Solve -u = u - i + 3, b*i = -3*u - 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 20 - 45)*(106 - 47 - 42 + 8*x) in the form k*x + j and give k.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*m = -119, 4*d - 2*m = 3*m + 102. Calculate the remainder when (-9)\/(36\/(-376)) - 4 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 6*c + 6. Calculate y(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2356000 rounded to the nearest 10000?\nAnswer: 2360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 2*b + 4. Suppose 0 = 2*w - 3*o - 5 - 12, -2*o = 6. Let a(h) = -2*h**2 - h + 2. Determine w*n(v) - 7*a(v).\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 59 + 7*b + 8*b - 21*b.\nAnswer: -6*b + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.68 + -387.68. Let j = -383.0251 - l. Round j to three decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*b\/(b\/b**(-2\/11))*(b*b\/(b**(2\/3)*b))\/((b\/(b*b**(-4)))\/b*b)*(((b**4\/b*b)\/b)\/b)\/b**(3\/4)*b*b**5*b*b**2 assuming b is positive.\nAnswer: b**(779\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*k*l*z - 10*k*l + 2*k*z + 2*k + 14*l*z + 3*l + 6*z wrt k?\nAnswer: -62*l*z - 10*l + 2*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 3 - 3 + 6*c - 2 + 3 to k*c + r*c**2 + h + a*c**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -19. Suppose -2*a + 6*a - o = 0. Suppose 2*b - d - 14 = 2*d, 0 = 5*b - a*d - 44. Solve b - 2 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2\/7*j**2 + 8\/21*j**3 + 2\/21*j**4 - 16\/21 - 4\/3*j = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2164.1 times 0.0268\nAnswer: -57.99788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16*b + 17*b = 9, -l - 12 = -3*b. Let n be (l - 2) + 7\/(168\/129). Determine p, given that -1\/8*p**2 - n*p + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 5*i - 1 = 9*g, -2*i = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 698*g**3 - 38*g**2 + 8*g + 11. Let n(b) = 697*b**3 - 40*b**2 + 10*b + 12. Let q(s) = -4*n(s) + 5*v(s). Find the third derivative of q(z) wrt z.\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.031 + 1.1\nAnswer: 1.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.38 + -5.38. Which is greater: v or -10\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -892*(116\/16 + -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, o: 4}. Give prob of sequence oo.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 702 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176838821?\nAnswer: 176838821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 32644349 + n**2 - 16*n**3 + 32644352.\nAnswer: -16*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305 + 308. What is the second biggest value in a, 4.1, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -11*a - 705. Calculate d(-67).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61642 is divided by 61629.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let i(n) = 100*n**2 + 2*n - 19. Let v(c) = i(c) - 2*s(c). What is the first derivative of v(m) wrt m?\nAnswer: 200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 19. Let l(c) = 8*c - 5. Let m(b) = 13 + 11 - 37 - b + 14. Let w(p) = -l(p) - 5*m(p). Give w(x(i)).\nAnswer: 6*i**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 5*g**3 + 0*g**3)*(-10 + 15 - 10).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 9*g**2 - g - 3. Give m(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a - 44. Let m be r(7). Factor 2*p**4 - 2*p**2 - 344*p**5 - 6*p**3 - 8*p**4 + 342*p**m.\nAnswer: -2*p**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/99 and -85\/24.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gntj when four letters picked without replacement from {j: 1, g: 2, n: 1, t: 2, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**8\/336 - z**5\/2 + 41*z**4\/4 - z**2 + 1. What is the second derivative of c(t) wrt t?\nAnswer: 20*t**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 5*w + 5. Let p(x) = -x**2 - 5*x - 6. Let n(z) = -5*p(z) - 4*s(z). What is the units digit of n(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 + -88 - (-12 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z)\/(z**6*z))\/(z**(-1))**(-3\/2)*(z\/((z*z**(1\/2))\/z*z*z)*z*z**(1\/2)*z)\/(((z**(-5)\/z)\/z)\/(z*z*z*z**(-6)*z*z)) assuming z is positive.\nAnswer: z**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.39, 43, 2.3 in ascending order.\nAnswer: -0.39, 2.3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 153690 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(10 + -4). Factor -1 - 2*j**2 - 5*j + b*j + j**2.\nAnswer: -(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1129787, 4519169, 10168139, 18076697?\n\"Answer: 1129794*u**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:50 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let k be w(2). Suppose k*n - n = -6. Which is bigger: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371382610 to the power of 1\/2, to the nearest integer?\nAnswer: 58064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238, 389, 652, 1033, 1538, 2173, 2944?\nAnswer: 3857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 24.064. Let o = u + 0.0639958. Round o to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 + 2*h - 3. Let l be j(-4). Solve 0*v + 4*f = -l*v - 5, -5*f = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 167850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 8*k + 58. Let a be b(4). Let m(q) = 4*q - 153. Let n be m(a). Solve -n = 8*y - 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 89 = -3*b, -4*x - 70 = -0*b - 2*b. Let w = -15 - x. Let r(q) = -2*q - 3. Let f be r(-4). Solve 2*d + 16 = -f*h, -3*d + 0*h - w = -4*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -16 - (3 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 7*w + 9 + 13 = 0, i - 3*w = 6*i - 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*sqrt(72)*5)\/sqrt(6))**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.273 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*d*i**2 - 2535334*d - 113026*i with respect to i.\nAnswer: 112*d*i - 113026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -4291\/166?\nAnswer: -4291\/166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**3 - 2*k**4 + 0*k**3)*(3*k - 2*k - 2*k) + (3*k - k**3 - 3*k)*(3*k - 5*k - 2*k)*(4*k - 4*k + 2*k).\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 17. Let p(q) = 334*q**3 + 3*q**i + 27*q**3 - 4 - q**3 + q. Let s be p(-4). What is s rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r. Determine y(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**3*m - l**3*t - 812*l**3 - 3707005*l**2*m*t + l**2*m - 2*l**2 - 9*l*m*t - 809*l*m + 1 wrt t?\nAnswer: -l**3 - 3707005*l**2*m - 9*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 5. Let c be p(11). Let q be c\/18 + 23\/3. Solve 0 = -2*d - 2*u - 14, 2*u + q - 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 107*w - 40*w - 30*w - 37*w - 318*w**2. Let a(f) = -f**2. What is o(a(q))?\nAnswer: -318*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/6, -4, 1, -0.07, 0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5607 and -2\/1513?\nAnswer: 95319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 169920 and 38768310.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 - -10.11. Let z = -2.2 - v. Let f = z - -9. What is the closest to 0 in -4\/5, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1 + -12 + 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 4*j, 3 = 4*a - 5*a - 2*j. Suppose -6*d + 2 + 64 = 0. Suppose a + d = h. What is the greatest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*u + 24 = 0, -4*x + 3*u + 39 = 14 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 4*p + 73 = 0, 546 - 486 = -4*w - 4*p for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -5*q + 263. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s = -20*s. Suppose -17 - 55 = -4*r + 3*y, s = 4*y - 16. Let d(j) = j + 8*j + 10*j + r*j. Let i(z) = z**2. Calculate d(i(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**3\/21 + 4*a**2\/7 - 16*a\/7 + 11. Factor x(o).\nAnswer: -(o - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -33*c. Let f(v) be the second derivative of v**6\/360 - v**4 - 7*v. Let l(b) be the third derivative of f(b). What is l(i(s))?\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 371 + -361. Let t be (s\/3 + (-14)\/42)\/1. Solve t*z + 0*z = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - 2*l + 0 - l + 0 + (1 + 3 - 2)*(-2 + 2 + 2*l) + 0*l - 2*l + 3*l)*(-l**3 - l**3 + 0*l**3).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - (-1771)\/16)*(2 - (-64)\/(-14)).\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 1. Suppose -464 = -27*d - 6*d - 167. Let z(t) = 3*t + 3. Calculate d*j(o) - 2*z(o).\nAnswer: 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/105*l**5 - 1\/735*l**7 + 3*l**2 + 1\/70*l**6 - 1\/28*l**4 - 1\/392*l**8 - 1\/21*l**3 + 0 + 0*l. What is v in r(v) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317 + -293. What is the remainder when 42 is divided by -3 + 0 + -2 + 7 + d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1331)*-3 + sqrt(1331))**2 - sqrt(11) - sqrt(66)\/(-2*sqrt(6))).\nAnswer: -sqrt(11)\/2 + 5326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1058 * -0.1.\nAnswer: -105.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -5930.1, -22, -0.03, 0.4 in descending order.\nAnswer: 0.4, -0.03, -0.1, -22, -5930.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*p**2 - 281*p**2 + 29 - 56 + 3*p + 190.\nAnswer: 3*p**2 + 3*p + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -55\/2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116247597 is divided by 168?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = k - 32, k - 8 = -0*k + f. Let y = k + -8. What is the third smallest value in y, -1\/9, 4\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 - 712*b - 14. Calculate v(-89).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:37 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -17, -25, -35, -47?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide ((-130)\/156)\/(-2 + 2 + (-3)\/414)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -707349, -707306, -707263, -707220?\n\"Answer: 43*t - 707392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6) - 253\/(-2). Let j(g) = -327*g - 5244. Let u be j(-17). What is the greatest common divisor of u and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/13, 8, 11 in descending order.\nAnswer: 11, 8, 5, 5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -231*g + 224*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.413 + 0.213. Let w = t - -2.2. Let s = -15.4 - w. Round s to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 648\/(-513)*8\/360*3\/4?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0*n - 7*n**2 - 1\/24*n**4 - 2\/3*n**3 + 0. What is the units digit of h(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 8.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 141?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 198727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 14\/10 + 3672\/(-255)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 10*o + 21 = -2*p, -2*o + 9 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 6398\/42 - 2\/(-3).\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**3 - n**2 - n. Suppose 10*i = i - 639. Let d = 70 + i. Give t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 107.88. Let p = i + 0.416. What is p rounded to 2 decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 258298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -28. Suppose -2*o - 4 = -f. Suppose s + 5*v = 5 + 11, -o*s + 5*v = -20. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 24 + 1 = 0. Suppose -2*b + 227 = c*p, 0 = 3*p - p + 10. Let d be 20 + -19 - (-19 - -2). Calculate the greatest common divisor of d and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r**2 + 44*r - 24*r - 19*r + 5 - r**3 in the form z*r + j + v*r**2 + y*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -7*v**2\/2 + 1. Let p(x) = 20*x. Give p(q(r)).\nAnswer: -140*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4218 + 1768. Let t be 945\/l + (-2)\/(-7). Let q(n) = n**3 - 7*n**2 - n + 4. Let x be q(7). Sort t, x, -2, 3\/7 in increasing order.\nAnswer: x, -2, t, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 869*f**4 - 12*f - 4?\nAnswer: 10428*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010001010001111 - 100110111001?\nAnswer: 110001100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477651.\nAnswer: 3, 113, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 + 2)*(4 + 0 - 3) + 3 - 6 + 2 - 3 + 4 - 3 + 4 - 4 + 4)*(-4*t + 0*t + 3*t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 375.7301 milligrams?\nAnswer: 0.0000003757301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 112500?\nAnswer: -112452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/((-2875)\/(-320) - 9). Solve -4*j + 33*g - r*g + 16 = 0, 2*g = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 0 = 4*g. Let j(l) = -9 + 14 - l**2 + 4*l + 6. Let q be j(5). Calculate the highest common divisor of g and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292 + -147. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -1, -1\/15, -0.056, 0.4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13512 and 703187.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 + 16 = 0. Suppose -d + 6 = 5*v. Does 5 divide (-8)\/(1\/v*2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 34499.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -381.2 + 383.2. Which is the second smallest value? (a) -1\/38 (b) 5 (c) -1\/11 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a minute in milliseconds?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89010377 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 0) + 10 + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**3 - 92 + 92.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1178382.3 to the nearest one hundred.\nAnswer: 1178400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.14275 and -37189296.\nAnswer: -37189296.14275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**4 - 80*x**3 + 1320*x**2 + 320*x - 5200 = 0.\nAnswer: -26, -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -393.9288 - 0.0712. Let m = 394.1205 + s. What is m rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 2*k + 3. Let j(f) = 4*f**2 - 4*f - 5. Let p(i) = 8*i + 37. Let c be p(-5). What is c*j(h) - 5*a(h)?\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 36*i**3 - i**2 + 2*i + 2 + 36*i**3 to the form g*i**4 + d + a*i**3 + m*i**2 + u*i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -797?\nAnswer: 79.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 6)\/(1 - 0). Let u be v - ((-1)\/5 - -1). What is the nearest to -0.2 in -0.1, u, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - -201?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22482 - -22482.4. What is the third biggest value in -4, -3\/4, -2\/2575, r?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 14 - 2*q - 4 - 6. Calculate a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 14201*h + 70959. Calculate g(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906 + 746 = -10*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10726.1 + -10.035154?\nAnswer: -10736.135154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 8*h**2\/5 + 64*h\/5 - 128\/5.\nAnswer: -4*(h - 4)*(h - 2)*(h + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -300, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34879, 69761, 104643, 139525, 174407, 209289?\nAnswer: 244171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p**2. Let a(z) = 40*z**2. Give a(u(o)).\nAnswer: 5760*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = 0. Suppose g = -2*z + z + 47, -4*g + 4*z + 156 = r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93f + 1?\nAnswer: -93e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 12*o - 6. Let a be b(10). Let p be 31\/a + (-10)\/4. What is the third smallest value in p, 4, -7, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a millisecond in microseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 357?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 472 + -472.49. Let u = 0.39 + x. What is the second biggest value in u, -5, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11567*i**4 + 40*i**3 + 64027*i**2.\nAnswer: -277608*i + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-3)*w)\/w*w)\/((w**6\/w)\/w)*(w*w\/(w\/w**2))**31 assuming w is positive.\nAnswer: w**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(320) - 2*sqrt(320) - sqrt(320)) + 2)**2*-6 + (sqrt(320)*-3 + 2 - (-4*(sqrt(320) - sqrt(320)*1) + sqrt(320)))**2.\nAnswer: -2562 + 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-4)\/14*-14 - 1216\/1280).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o - 5. Suppose p - 5*k = 4*p + 30, 4*k = 3*p + 3. Let c be r(p). Suppose -5*j + 4 + 6 = 0. Solve -c*s + j*s = -6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3174005*d + 2 - 340*d**2 + 750*d**2 + 226*d**2 + 3174005*d.\nAnswer: 636*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in 73, 2, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2370731 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b + 41. Calculate c(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by 984?\nAnswer: -34\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149878?\nAnswer: 2, 574939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j. Suppose 5*g - 4 = -2*v, -v + j*v + g + 2 = 0. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (0\/(0 - 8\/(-4)))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11465308 divided by 716?\nAnswer: 16013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083005.\nAnswer: 5, 7, 11, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 39.33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/5, 882, -3, 3\/2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, 108, 315, 728, 1419, 2460?\n\"Answer: 12*v**3 - 5*v**2 + 4*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 + (-5 - -7) + -7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -23*k - 1. Calculate h(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 9:16 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(4*sqrt(2057) + -2 + (sqrt(2057) - -6*2*sqrt(2057))).\nAnswer: -374*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1071 and 21798.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -357 or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-10))\/((-334)\/835)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - 2*a**2 - a - 1. Let g be -4 + (-60)\/(-50)*10\/4. Let p be z(g). Sort 3, -14, p.\nAnswer: -14, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140821.3 to the nearest 100.\nAnswer: 140800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 780 and 1620.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 24 = n - 4*v, -v = 4*n + 39. Let k = 10 + n. Which is the closest to k? (a) 1 (b) 2\/13 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8347 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -91, -4 in ascending order.\nAnswer: -91, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 7*m**2 - 6*m + 3. Let p be k(6). Suppose -7570 = -10*f - 7570. Suppose f = 17*t - p*t - 28. Solve -5*a - 2*j = -6 + t, 10 = 5*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.28048 - -0.28. What is i rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*2\/126 + (-57)\/135.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(21\/(-2))*49\/63.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 27, 63, 153, 315, 567, 927, 1413?\n\"Answer: 3*m**3 - 21*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/120 - 2*m**3\/3 + 6*m. Let i(f) be the second derivative of j(f). Let t(g) = 5*g**2. Calculate i(t(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6410 and 728176.\nAnswer: 3640880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**2. Let q(y) be the second derivative of 101*y**4\/12 - 3073*y + 2. Calculate d(q(z)).\nAnswer: -61206*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 286.\nAnswer: -2, 5, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 11. Let w be r(9). Let b(f) = 4*f**3 - 4*f**2 + 4*f - 2. Determine b(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 8) in base 12?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83\/35 + 18\/7. What is the fourth biggest value in -11, 0.4, -0.1, l?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 74\nAnswer: 29\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*y + 1\/2*y**2 - 1\/2*y**3 + 1\/2*y**5 - 1\/2*y**4 = 0 for y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*v + 3*n, n = -n + 10. Let b be (0 + v)\/(136\/(-36) + 4). Let k be (-16)\/10*(-20)\/8. Put -3, k, b in descending order.\nAnswer: b, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168715*h**2*x**3 - 47*h**2*x**2 - 2*h*x**3 + 8*x**3 + 53954*x**2 wrt x?\nAnswer: -1012290*h**2 - 12*h + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 2. Let k be q(-4). Suppose 5*y = 19 + k. Solve -3*t - 3*v = t - 35, -2*t + y*v = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -6 + 7 + -3 + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 + 3*l**2. Let c(a) = -342 + 342 + 4*a**2. Determine y(c(f)).\nAnswer: 16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.9341664 to 4 decimal places.\nAnswer: 4.9342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**3 + h**2 - 1. Let l = -43 - -40. Let z be (-2)\/(-8)*(7 + l). What is t(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t**2 - 404*t + 53. Let n be l(-45). Solve 2 + n = 2*b - 4*k, 3*b = 2*k + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 5*q**2 + q**2)*(10*q + 2*q - 3*q + 0 - 2*q + 0 + (-2 - 2*q + 2)*(-1 + 1 - 2) + 2*q + 2*q - 5*q - q - q - 3*q).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 314*q + 7221. Give k(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(243) + -1) + -4)**2 - (sqrt(243) + (-3 + 0 + sqrt(243))**2 + sqrt(243) - (-1 + sqrt(243) + -1 + sqrt(243) - sqrt(243))**2).\nAnswer: -18473 + 2430*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 216 + -212. Which is the fourth biggest value? (a) 1\/2 (b) m (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 3115900046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5093194 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/35 (b) 1\/7 (c) -1.3 (d) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 3*q - 16. Let k be r(6). Suppose 113 = k*v - 307. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 67 = 5*j, -4*j + 12 = 10*f - 20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -8\/3*j**3 - 1\/2*j**2 + 0 + 3*j. Let d(m) be the third derivative of -m**5\/30 - 108*m**2 + 2*m + 13. What is b(d(i))?\nAnswer: 32*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let o(m) = -52*m + 28*m + 5*m. Give o(l(r)).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -188.6 + 187. Let v = 46696.39976 - 46698. Let b = c - v. Round b to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 - -2)\/3)\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f + 58*f = 8 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -801312 divided by 982\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.039033 times -1.4\nAnswer: -0.0546462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 984 a factor of 207224496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 81\/4 of a kilogram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - -0.35. Let b = 25 + -277\/11. Suppose -3*o - 7 = 4*o. What is the closest to o in 3\/2, m, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.258 and -490977.953.\nAnswer: -490977.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/3, 6\/7, -2, 0?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 77*c**5\/60 - 7*c**4\/3 - 28*c**3\/3 - 48*c**2. Let f(y) = -4*y**2 + 3*y + 3. Calculate 56*f(b) + 3*m(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*z**2 - z**3 + 2*z**3 + z**3 as m + o*z + c*z**3 + v*z**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 124972 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8110 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 2:00 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 32 = 5*k, -50 = -4*k - z - 20. Let h = 9 + -11. What is the lowest common multiple of k and 11 + -3 + (0 - h)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 2*y - 13)*(-96*y**3 - 911*y + 51 - 20 + 911*y + 3*y**3) in the form v*y**3 + f*y**4 + j + o*y**2 + a*y and give f.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-936)\/(-9))\/(7\/(-7)*-1*2).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -238 and 1?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 17 (c) 0.2197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005468 rounded to seven decimal places?\nAnswer: 0.0000547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q - 152. What is the remainder when q is divided by (-1216)\/(-24) + -8 + (-15)\/9?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1 (b) -3 (c) 63 (d) -228 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**2 + 27*b + 11*b**3 - 40*b**3 + 0*b + 25*b**2.\nAnswer: -29*b**3 + 27*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*-4 + sqrt(612))**2 + sqrt(102)\/sqrt(6)*3)*1.\nAnswer: 3*sqrt(17) + 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3927833340 to the nearest integer?\nAnswer: 62672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12*(-4)\/8)\/(-3). Solve -f*m - 3*m - 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -544*h**5 - 55*h**3 - h**2 + 44281*h wrt h.\nAnswer: -32640*h**2 - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 4. What is the third derivative of -2*r**4 + 4*r**4 - 4*r**2 + r**v wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.46 and -150433.\nAnswer: 370065.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2568 = 279*v - 291*v. Suppose -v = -11*y + 996. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010111021 (base 3) in base 10?\nAnswer: -238741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -55. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -1. Let l = c - 0. Let o = 0.2 + -0.2. What is the nearest to o in l, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaxrz. What is prob of picking 1 x and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 442061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (0 - (6 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 23. Suppose 0 = 2*f - x*v - 42 + 10, 4*v + 16 = 0. Let c be (-25)\/30 + 2\/f. What is the second biggest value in c, -0.2, -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*u = -229*u - 2303 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 10 = 3*y - 2*a, 5*y - 5 = -a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-9)\/(-81)*-3*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*w**2 - 25*w**2 - 11*w**2)*(-523*w + 51*w**2 + 523*w) - 5*w**4 + 4*w**4 + 2*w**4 as x*w**3 + h*w**2 + b*w**4 + r*w + o and give b.\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 6*n = 5*a - 172, 0 = 5*n + 3*a - 948. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 916617*l**3 + 916597*l**3 - l + 2*l in the form f*l + r*l**3 + p*l**2 + w and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13*i**2 + 4*i. Let c(p) = 57192 - 7*p - 57192. Calculate c(u(m)).\nAnswer: 91*m**2 - 28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253661 (base 7) in base 3?\nAnswer: 22100211120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1093)\/2)\/(7\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 686 + -681. Let t(b) be the second derivative of 0 + 2\/21*b**7 - 2\/5*b**6 + 0*b**2 - 2*b + 0*b**3 + 3\/5*b**s - 1\/3*b**4. Suppose t(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 0 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 2. Let p(i) = -i**2 - 6*i - 4. What is the least common multiple of z(6) and p(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -279 in decreasing order.\nAnswer: 4, -3, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -148*s - 584. What is x(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115.059l in millilitres?\nAnswer: 1115059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 375702676 to the power of 1\/3, to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + 2)*(-2)\/27. Suppose -4940 = 3*d - 5033. Let p be (-2)\/(2\/d) - (-166 - -162). What is the nearest to -1 in h, p, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 3941.48.\nAnswer: 51239.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 823.272t?\nAnswer: 823272000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 161*q + 170. What is the thousands digit of t(-73)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - 7.5. Let s = u - -6. Let n = -0.055 + s. What is n rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1112\/19460)\/((-4)\/(-2)).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 633631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 836803 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35279037 by -20523.\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*p + p - 60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaoinnnnycoa. Give prob of picking 1 i, 2 a, and 1 y.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 5*q**3 - 4*q**3 - 3*q + q. Let u be f(-1). Let o(s) = -2*s**2 + 3*s - 4. Let z(y) = 5*y**2 - 8*y + 11. Calculate u*o(a) + 3*z(a).\nAnswer: -a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 87, 175, 263?\n\"Answer: 88*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 89*b. Let f(v) = -17*v**2 + 3. What is o(f(y))?\nAnswer: -1513*y**2 + 267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*b - 36. Let t = 8 + 4. Calculate the highest common factor of t and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -265\/219 + -100\/219. What is the fourth biggest value in 3, -31, 0, p?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5123 + -210032\/41. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 8*d + 1. Let q be t(8). Let h(x) = x + 1. Let u(v) = -9*v - 6. What is q*u(n) + 6*h(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -190*m**4 + 102*m**4 - 172*m**4 + (2*m + m - 5*m)*(-m**3 - m**3 + 0*m**3).\nAnswer: -256*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - d**3 - 3*d**2)*(-8 + 0 + 3) + 7*d**3 - 15*d**3 + 4*d**3 to the form j + z*d + u*d**2 + l*d**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/19675 and 71\/11805.\nAnswer: 59025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 298*i. Let m(n) = 4*n - 2. Give b(m(f)).\nAnswer: 16*f**2 - 1208*f + 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 6. Let b be m(4). Let g(s) = s**3 - 5*s**2 + 2. Let q be g(5). What is the third derivative of b*k**3 - 5*k**3 - 2*k**2 + 3*k**q wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91964181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1091995035?\nAnswer: 3, 5, 23, 3165203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 10*t + 672. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 + 0.26. Sort 0.2, r, 0.4 in ascending order.\nAnswer: r, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -317 - -380. Calculate the highest common divisor of 84 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**4 + l - 1. Let m(f) = 22*f**4 - 16*f**2 + 5*f - 5. Let u(t) = -m(t) + 5*q(t). What is the third derivative of u(a) wrt a?\nAnswer: -648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -220, -149, -80, -13?\n\"Answer: -a**2 + 74*a - 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 3*c + 203. Determine o(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -62243 at most -62249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1028731118 to the nearest integer?\nAnswer: 32074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -1848, -4151, -7366, -11487?\nAnswer: -16508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let v = -15 - -9. Let d(y) = -7*y - 1. Let p(x) = v*l(x) - d(x). Let t(r) = -5*r - 685048 + 685048. Give -3*p(o) - t(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 91 = 4*i + 3*f, -3*i + f = -49. Let w(p) = 5*p**3 + 2*p**2 + 7*p + 6. Let y(d) = -14*d**3 - 6*d**2 - 20*d - 17. Calculate i*w(n) + 6*y(n).\nAnswer: n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -0.11.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 - 99*g**3\/5 - 99*g**2\/5 + 123*g\/5 + 18 = 0. Calculate g.\nAnswer: -5, -2, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-1)\/4)\/((5\/100)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t)**47 assuming t is positive.\nAnswer: t**282","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -191, -0.3, -15, 2, 7\/5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-640)\/(-12)))\/(2\/5).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0633 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 60, 84, 106, 126, 144, 160?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 11}. What is prob of sequence yy?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 18*a + 36. Determine b(-8).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1609 - -2306. Suppose -44*v = -3*v - m. Is 16 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y - 54 - 12*y + 60 in the form l + r*y and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let m be -1*(2\/(-1) + 2). Let j(o) be the third derivative of m*o**3 - o**2 - 1\/8*o**4 + 0 + 0*o. Determine j(p(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -32. Let r be 80\/u*(-3)\/(-2). Let o = r - 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*-5*(-1 + (3*(sqrt(325) + 2 + 5))**2).\nAnswer: 9450*sqrt(13) + 50471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(-16)*(-12)\/2. Let r(w) = -2*w**3 + 1890 + 7*w - w**2 - m*w + 3*w**3. Let g be r(0). What is g rounded to the nearest one hundred?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2 + 54*f + 10. Let r be x(7). Let m(p) be the first derivative of -1 + 4*p + 1\/2*p**2. Calculate m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.01, 0.012, -0.2, 5, 0.2, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by ((-201)\/(-21) - 1)\/(74\/259)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42408202*b**4 + 4*b**2 + 507997097*b wrt b?\nAnswer: -508898424*b**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 35*u - 1257. Let w be n(36). Factor 4\/3*s**w + 0 - 2\/3*s**4 + 0*s**2 - 2\/3*s**5 + 0*s.\nAnswer: -2*s**3*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 281*m + 10951. Determine i(-39).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 175\/(-14))\/((-16)\/((-704)\/33))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -433 - -432. What is the nearest to 2 in b, 1, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**8\/168 - g**7\/45 - g**6\/60 + g**5\/30 + g**4\/18 + 2*g**2 + 1. Let f(d) be the second derivative of q(d). Factor f(s).\nAnswer: -2*s*(s + 1)**3*(3*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (10 + (2 - (10 + 10))) - -27?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 34 = v + 5*g + 6, -12 = -2*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20*18955\nAnswer: 379100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*k + 186 = 196, -4*a - 47 = 5*k for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016929 to 4 dps.\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10301 + 1?\nAnswer: -10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4 - 21. Suppose -a = -y*a + 96. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -369708 divided by 184854\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/658029 or 0?\nAnswer: 2\/658029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:34 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-18)*(-3177)\/39536\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790394.\nAnswer: 2, 11, 37, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/3763 (b) -8 (c) 0.8 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -343361.24 to the nearest 100.\nAnswer: -343400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from huytuzaha.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 8\/9*b**4 - 8\/3*b**3 + 0 + 0*b.\nAnswer: 2*b**2*(2*b - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62172609 a multiple of 1381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.8 + 2.8. Let f = -10 + 7. Put -0.5, f, k in decreasing order.\nAnswer: -0.5, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 136685178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-5 - (-3 + 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6408 and -95\/96.\nAnswer: 25632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k - 5. Let w(q) = -4*q + 3. Let f(r) = 3*p(r) + 5*w(r). Let x(g) = 3*g + 5. Let u(y) = -4*y - 6. Let n(h) = 5*u(h) + 6*x(h). Give n(f(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -3\/9803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*y = 61, -8*n + 2*y = -10*n + 46. What is the remainder when n is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + (28 - 2) - -63.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -60. Solve -2 = 2*c - 4*w, -c + w + a*w - 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50*k**2 + 1442*k - 1442*k)*(2 + k - 2) + 13*k**3 + 15*k**3 + 2*k - 37*k**3.\nAnswer: -59*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -2 - -1) + 3. Let a be w - 3*(-6)\/(-9). Solve -a*d - 9 = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038314 millilitres in litres?\nAnswer: 0.000038314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/8 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.1 or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*r = -2332. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1472 and 81\/103856960.\nAnswer: 103856960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33591997.\nAnswer: 41, 819317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 + 84*m + 180 = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.033 (b) 0.08 (c) -4 (d) 2.536 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8044.481 millimeters to centimeters.\nAnswer: 804.4481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1687792 by 2.\nAnswer: 843896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -5*y - 1\/2*y**2 + 0 + 1\/12*y**4 - 1\/3*y**3. What is the units digit of f(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 1:56 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 8*t**2 - 4*t + 3. Let p be k(5). Let u = p - 54. Suppose -9 = u*a - 33. Calculate the greatest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 268 = -s, 0*i - 4*i = s - 293. Suppose 7*a - s = 4*a. Suppose 7*w - 5*g = 3*w + 81, a = 5*w + 4*g. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 431*w**2 - 812*w**2 + 373*w**2. Let m(p) = -25*p**2. Suppose -6 = -0*s + 2*s. Calculate s*m(g) + 10*f(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 18 = 2*v + 5*m, v - 2*m + 3 = 0. Suppose 0 = -v*n + 2*n + 10. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(200\/(-15))\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/12 + 5\/4. Let x be (-3 - 25\/(-10)) + -1. What is the smallest value in v, x, -3\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 8 - (-4 + 9)) + -25 - -5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -11 (c) 2 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 1. Let k(a) = a - 5. Let c be k(6). Let s(m) = 6*m**2 - 129*m - 63. Calculate the remainder when n(c) is divided by s(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 39. Let m = t + 17.00018. Round m to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-8))\/((-16)\/(-1600))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545358 a multiple of 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 45\/4 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 623c - -1?\nAnswer: 623d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 178796220 times -0.3?\nAnswer: -53638866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((18*(-17)\/714)\/((-4)\/(-14)))\/(-3). Which is the closest to 0? (a) -1\/5 (b) 7\/4 (c) 4\/9 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9673 * 0.20248.\nAnswer: -1958.58904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 - -296.4. Let x = j + -48.9. Which is the third smallest value? (a) 0.3 (b) x (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53199485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246770?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((-4 - -8) + -1). Suppose 10*u = b*u - 5840000. What is u 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 31\/5 of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mptmtftt. What is prob of sequence mf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {z: 7, a: 1, q: 1, v: 9}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34116 - 34109. Let q(p) = -p + 7. Let k be q(6). Let u(a) = 8*a + 1. Calculate the remainder when u(k) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6 + 0 = -2*q, -4*b = -q - 3. Suppose b = 4*x - 2 + 10. Let n be (x\/(-4)*0)\/1. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 45\/4, 35, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 15, -3 in descending order.\nAnswer: 15, 7, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkdn when four letters picked without replacement from nknknkfxkkdxndnn.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(2\/5)*t*t*t)*t**3\/t)\/(t**(-1\/2)*t*t\/t**(1\/23)) assuming t is positive.\nAnswer: t**(-427\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 3*v + 56 - 3*v.\nAnswer: v**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366326?\nAnswer: 2, 1183163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*h - 59473 = -60958 for h.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a4 (base 13) in base 16?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjkkjmjmckmjkkm. Give prob of picking 1 c and 1 k.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*k**4 - 473*k**4 + 26 + 76*k**4 - 3*k - 82 wrt k?\nAnswer: -6276*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) - 1*sqrt(1539)) + (sqrt(19) + 0 - sqrt(19)) + 2)**2*6.\nAnswer: -168*sqrt(19) + 5610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 2, h: 2, e: 1, x: 1}. Give prob of sequence jj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.3 (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 23*k**3 + 4*k**2 + 333*k - 1815. Calculate p(5).\nAnswer: 2825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, 16, 33 in descending order.\nAnswer: 73, 33, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 5. Let y(m) = -4*m + 5. Determine -3*i(c) - 4*y(c).\nAnswer: 7*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 23 + 29 - 52.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**6\/30 + 49*m**5\/5 - 2927*m**4\/4 - 9077*m**3\/3 - 4588*m**2 - 15376*m\/5 - 633. Solve t(s) = 0 for s.\nAnswer: -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24381326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 811038, 811042, 811046?\n\"Answer: 4*r + 811034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 80.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00179937366 to 6 decimal places.\nAnswer: -0.001799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sduz when four letters picked without replacement from dzmdsuudllsussm?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**2 - 10*i. Let h = 39 - 33. Let k(l) = 5*l + h*l - 14*l**2 + 18*l**2 - 4*l. Suppose -3*t = 5*f, 0*f + 2*f = 5*t + 31. Give t*j(v) - 7*k(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n - 4. Let f = -2 + 13. Let q = n + f. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4130 - -11451. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -7*i. Let l(g) = -6*g**3 + 8*g**2 - 7*g - 4. Let d(r) = -r**3 + r**2 - r - 1. Let j(b) = 5*d(b) - l(b). Determine j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31254 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4145456 to the power of 1\/2, to the nearest integer?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 8:33 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92 + 0 + 42\/((-1260)\/330).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 9 + (13 - 21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 6, s: 8}. What is prob of sequence xsbb?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.6779nm in centimeters?\nAnswer: 0.00005696779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 6:18 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 15) + -12 - (-1 + 2) - 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + -6*(-1 + sqrt(272)*-2*6*-6 + 0))**2.\nAnswer: -10368*sqrt(17) + 50761737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99217800 and 751650?\nAnswer: 99217800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 216402.812503\nAnswer: 216405.812503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15257\/27 <= 564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s*w**2 - 31*s*w + 7*s - 16*w**2 + 26*w - 2430 wrt w.\nAnswer: 2*s*w - 31*s - 32*w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b + 3920 = -16*b. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25188 + -14868. Is 80 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05776 and -4.\nAnswer: -3.94224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9219, 1, 5, -0.2, 76, 2 in descending order.\nAnswer: 9219, 76, 5, 2, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16720*g**3 - 8*g + 8*g + 0*g.\nAnswer: -16720*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 319 - 330. Let y(k) = -173*k - 50. What are the prime factors of y(w)?\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 80 - 11*s**2 + 227 - 78.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*1*(-7 + 3). What is the greatest common factor of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, 169, 228, 343, 532, 813, 1204?\n\"Answer: 3*k**3 + k**2 - 3*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 130 = 4*b, 0 = 2*b + 2*b + 5*a - 123. Let k = -58 + b. Let c be -4*1*13\/k. Solve 2*n + 5 = -2*i + 3*i, -i - c*n = -1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.103 (b) 2\/3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30204332 + -5?\nAnswer: -30204341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s**4 - 295 + 288 + 24*s**2 + 152 wrt s.\nAnswer: -8*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000063024 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o**3 + 139 + 0*o - 140 + 23*o**3 + 0*o. Let l = 0 + -1. Give u(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d**3 - 3*d**2 - 3. Let k(n) = -105*n**3 + 20*n**2 + 20. Determine 3*k(o) + 20*u(o).\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23499157621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(2\/17))\/p)\/p)\/(p*p**(1\/15))*(p\/(p*p**6))\/(p*p\/(p*p**11)))**38 assuming p is positive.\nAnswer: p**(19874\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23*-534.\nAnswer: -122.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 4\/9, -70, -31, 1, -4, 0.033?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 245501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -578?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 5*o + 72, 0 = -4*a - 1006*o + 1007*o - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -3, 0, -5 in descending order.\nAnswer: 145, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, d: 3, f: 3, n: 2, g: 7}. What is prob of sequence ndqd?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.16. What is the closest to -0.1 in -0.4, o, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 10. Let q = -30 + 18. Let x be o(q). Suppose -x*m = -7*m - 3*p + 129, 4*m = -3*p + 105. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.291548.\nAnswer: -0.0291548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 67207*z - 67299*z + 1.\nAnswer: -92*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -20. Suppose 3*h - w*h = -840. Suppose 0 = -q - 3*q + h. What is the greatest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -45*l**3 - 3*l**2 + 1. List the prime factors of r(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/476 or 770\/3?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 6*i + 14. Which is the nearest to -1\/4? (a) 70 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146411.6 tonnes in grams?\nAnswer: 146411600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.06843121 from -0.103.\nAnswer: -0.17143121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x - 24. Let o(j) = -15*j + 28. Let a(b) = -6*o(b) - 7*y(b). Let l(n) = -20*n + 18*n + 17*n + 2*n**2 + 16*n. Determine a(l(m)).\nAnswer: -2*m**2 - 31*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3*3 + 5. Suppose 2 - s = p + 5*b, 17 = 5*p - 2*b. Suppose 4 = -o + p*o. Solve 0 = -z - z - o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5613.6037 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, w: 9, j: 2, k: 5}. Give prob of picking 4 w.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 2. Let z(s) = -6*s - 7. Let o(c) = -9*g(c) - 2*z(c). Calculate o(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a**2 + 5*a. Let j be t(3). What is j rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*u - 109*u - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*u - 126*u - 372. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*x - 1175*x = -3*w - 40, -5*w - 20 = -x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/16 and -121\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -691 or -46835?\nAnswer: -691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*b + 111554 = -32*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -732 divided by 183?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -m - 33. Let i be (-47)\/(-5) + 2\/(-5). What is the highest common factor of i and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f + 16. Suppose f*a = 17 - 1. Suppose 4*k - 5*o - 191 = 0, k + 15 = a*o + 65. What is the smallest common multiple of 8 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 8. Let m(p) = 0 - 10*p**2 - p**2 + 11*p - 7. Let v(d) = -5*d + 6*d**2 + 3 - 3*d**2 + 2*d**2. Give i*m(a) - 9*v(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2708?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -15. Suppose -c + n*c - 16 = 0. Let i be (c - 1)\/(1 - 0). Let u(d) = -2*d**2 + 3*d - 1. Calculate u(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*35\/(-25)*252\/294.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2549.\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.9406 (b) 323 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 5 (c) 1.33 (d) -4\/3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*h + 18. Let a be 9 + h + -2 + -1. Suppose 7*y - y + 14400000 = a. Round y to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 3, p: 2, f: 3, s: 3}. What is prob of picking 1 s and 2 v?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*-2*(sqrt(475) + -2).\nAnswer: -16 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 364.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (0 - 6 - (-82 + 77))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -279, -563, -855, -1155, -1463, -1779, -2103?\n\"Answer: -4*d**2 - 272*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*c**3 + 4839*c**2*x - 2*c*x + 32*c - 41*x - 170 wrt c?\nAnswer: -270*c + 9678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581059 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 2:27 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0 + 13\/2*p**2 - 4*p**3 - 2*p. Differentiate r(y) wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034 = 21*h + 15*h + 890 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 4*z. Calculate the least common multiple of 7 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32710 is divided by 385.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 67 = 32. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.42 and -50.3098.\nAnswer: -21.130116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24988, 49973, 74958, 99943?\nAnswer: 124928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y - 6. Let g be m(6). Let z = -66 + g. Let w be 2\/(-11) - z\/385. Which is the second biggest value? (a) -5 (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/23 - -11\/92. Let p be (-22)\/18 - 1*-2. Let m = -53\/45 + p. Which is the nearest to l? (a) m (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 188229*v. Let o(x) = -24*x. What is g(o(p))?\nAnswer: -576*p**2 - 4517496*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -20*r**3 - 58. Let p(f) = 4*f. Calculate h(p(g)).\nAnswer: -960*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 161.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 1. Let z(f) = 6*f + 2. Let c(r) = 5*n(r) - 6*z(r). Let q be c(-6). Let j = -0.2 - -0.22. Sort j, -4, q.\nAnswer: -4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 m when three letters picked without replacement from miiiimdidiimiii?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - 3. Let p be (-1)\/(70\/h - -3). What is the closest to p in -0.3, -1, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -17*j - 68. Let g be x(-10). Suppose 8*y + g = 59*y. Solve -5*z - 11 = 3*c, 2*z - y*c + 12 + 2 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -13392129, 4 in increasing order.\nAnswer: -13392129, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 252*w**3 - 3763*w**3.\nAnswer: -3511*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -15055226?\nAnswer: 15055225.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4932*w + 166320 = -1008*w for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6817*y + 578. Let g(q) = -142*q + 12. What is -289*g(o) + 6*u(o)?\nAnswer: 136*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-35)*(-42)\/63*105\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2942, 4190, 5428, 6650, 7850, 9022, 10160?\n\"Answer: -p**3 + p**2 + 1252*p + 1690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**5 - n**5 + (n**3 - n**3 - n**4)*(0 - n + 0) - n + 2*n**5 + n + (-3*n - 2*n + 4*n)*(-n**4 + 2*n**2 - 2*n**2) + 11*n**5 + 4*n**5 - 5*n**5.\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68129.\nAnswer: 193, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/8)\/(2\/(-16)). Let o be 4*-1*14\/(-28). Differentiate u + o + s - 7*s + 2*s with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.8 + -16. Let j = 26.48 + -0.48. Let y = j + u. What is y rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.09, -1\/3, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.33 + 0.74. Let f = 8.09 + g. Round f to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1965341 and 5\/931.\nAnswer: 1965341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2. Let m be g(-7). Differentiate m - 3*l**3 - 2 - 4 wrt l.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 0.38. Let t = 0.88 + -0.28. Let g = h + t. Which is the nearest to -1\/2? (a) 2\/13 (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3413, -4716, -5985, -7220, -8421, -9588?\n\"Answer: 17*c**2 - 1354*c - 2076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(528)*-2)\/(sqrt(88)\/(sqrt(8) - (3*sqrt(32) - sqrt(8)) - sqrt(8))).\nAnswer: 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3862 is divided by 1864?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4481136 divided by 451.\nAnswer: 9936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) - (-10)\/(-8). Let b = 3 + u. Find g, given that -1\/2*g**3 + 0*g + 0 - 1\/2*g**b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2250508 + 6061195. Let z = a + -8311635.99953. Let g = 67 - z. Round g to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = -3*t, -5 = -5*v - 5*t. Solve 0 = -a - 5 + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.9 - -36.9. Put -4, 1\/2, j in decreasing order.\nAnswer: j, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 9 + 10. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 - 150 = -7*n. Suppose -c = n*m - 10 - 27, -4 = m - 4*c. Calculate the remainder when 46 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -4\/9, 52, -17, -4?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4819233.41 to the nearest 10000.\nAnswer: -4820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -156222, -156223, -156224?\n\"Answer: -b - 156221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 799618, 1599233, 2398848?\n\"Answer: 799615*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r + 3*r**2 + 1 - 1 - r**3 - 5. Let k be (-72)\/(-21) - 12\/(-21). What is the remainder when t(k) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/2943 and 29\/2943.\nAnswer: 2943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4355?\nAnswer: 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + (7 - (-5 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 957 - 3082 = 0. Solve d*s - 69*s - 16 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1022, 2042, 3062, 4082, 5102, 6122?\n\"Answer: 1020*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475375.4 millennia to years.\nAnswer: 475375400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*y + 3569, -31*y + 4722 = 4*g - 33*y. What are the prime factors of g?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -15. Suppose -l*d = -1 - 4. Is d <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -16. Suppose x = -0*x + w. Suppose 0 = -f + x. What is f rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 2*p**3 - 2*p**3 + (-2 - 2*p + 2)*(-p**2 + p**2 + 2*p**2) - 4*p**3 + 3*p**3 - p**3 - 20*p**2 - 117*p**3 + 23*p**2 - 62*p**3.\nAnswer: -186*p**3 + 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -572, -859, -1146, -1433, -1720?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (1 - (3 + -8) - -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -32. Let k(m) = -2*m**3 + 4*m**2 - 4. Let c be k(2). What is the fourth biggest value in c, u, -0.1, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/270*100\/16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 i when four letters picked without replacement from itittt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -912 - -956. What is the second biggest value in -1, -0.4, i, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*i - 298*i = -46 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 6*z + 11. Let h be q(-3). Solve 4*x + h*a = -2, -4*x + 0*a - 3*a = -1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19387336 is divided by 140?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -490.68845.\nAnswer: -484.68845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503178 is divided by 39556.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 + 1014*l + 85683 = 0. What is l?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 417745 (base 12) in base 7?\nAnswer: 11514434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 34 = -7*u, 9*u - 5*f = -10*u + 15*u + 31 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8893268 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, 2, 3.9 in decreasing order.\nAnswer: 4, 3.9, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:55 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/848420 and 17\/2950.\nAnswer: 4242100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/864*(-9)\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95872727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -127. Suppose -m = -i - 3*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) 4 (c) -1\/43 (d) 5 (e) 6\/5 (f) -4 (g) -1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459, 1869, 4219, 7509?\nAnswer: 11739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n. Let i(d) = 725146*d**2 - 4*d. What is i(h(y))?\nAnswer: 35532154*y**2 + 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68756416*g**5 - 2938726*g**2 - g - 4 wrt g.\nAnswer: -4125384960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*g + 24, -5*l + 2*g - 30 = -0*l. Let a(q) = -16*q**3 - 3*q**2 - 4*q - 1. Is a(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10055.4223 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 + 5*a**2 + 3*a**2. Let b(v) be the first derivative of 0*v + 2\/3*v**3 - 8 + 0*v**2. Determine m(b(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by -6?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*h**5 - h**3*t + h**3 + 117*h**2 - 14*h*t + 762 wrt h.\nAnswer: 420*h**3 - 6*h*t + 6*h + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*-1 - sqrt(684)) + -1)**2 - (0 + sqrt(1216) - sqrt(76)\/sqrt(4)*-1).\nAnswer: 15*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2. Let g(n) = -2*n - 11. What is g(c(p))?\nAnswer: 2*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**5 - 244*h**4 + 476*h**3 - 236*h**2 = 0.\nAnswer: 0, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107880*h**3 + 28*h**2*s + 3401*h*s - h + 2033*s wrt h?\nAnswer: 647280*h + 56*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 - 11*u + 13. Let l(k) = 3*k**2 - 54*k - 63. Let p be l(19). Calculate j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*d + 10*d + 4*d + 20*d.\nAnswer: 45*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2513178 and 733822.\nAnswer: 6494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4536 is divided by 448?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-15)\/((-90)\/4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32861*g*i**3 + 23*g*i**2 - 4*g*i + i**3 - 337884*i**2 - 5 wrt g.\nAnswer: -32861*i**3 + 23*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.5. Let h = 0.2 + 0.2. Which is the second biggest value? (a) r (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 579, 1020, 2387, 5142, 9747, 16664, 26355?\n\"Answer: 77*w**3 + w**2 - 101*w + 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 331664436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 654*m + 1874. Give d(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15\/1121 - 7\/59. Suppose -2 = 5*v - 6*v. Suppose 2*g = -t, g - t = v*t. Which is the closest to -2\/3? (a) g (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(72\/(-10))\/3. Let y(j) = j**2 - 10*j + 12. Let z be y(8). Let x = z + g. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15*f**2 - f + 1. Let d be u(1). Let q be (306\/30)\/((-1)\/d). Suppose 0 = 5*g - q - 17. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22400*t - 22153*t + 14636 + 9817 = 0 for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245851, 491703, 737557, 983413, 1229271, 1475131, 1720993?\nAnswer: 1966857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -64*o - 3. Let l be 1*4*(-2)\/4. Is d(l) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1168)\/1428 + 4164\/4858?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, -39.3, 500 in descending order.\nAnswer: 500, 3, 0.5, -39.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7.2 and -874985.\nAnswer: -874977.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - 109. Which is greater: k or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 398 = -286. Let g = 0 + 9. Calculate the highest common divisor of v and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1 + 0*q + 0*q**3 + 1\/25*q**5 + 0*q**4 - 1\/30*q**6 + 0*q**2. Factor b(t).\nAnswer: -t**4*(t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 93. Let k = y + 108. What is the greatest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -16 + 8 + -6 + (-9 - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n - 374. What is a(46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38684, 77487, 116280, 155063, 193836, 232599, 271352?\n\"Answer: -5*k**2 + 38818*k - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 6 - ((-2120)\/2)\/(-1). Let v = 4395\/8 - -3897\/8. Let d = c + v. Calculate the common denominator of 97\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 44079 - 15919 = 9*w. What is the third smallest value in -1, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 6. Let m = 0 + -3. What are the prime factors of o(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41f46 (base 16) in base 4?\nAnswer: 1001331012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 80 = -4*h, -7*v + 50 = -5*v - 4*h. Calculate the remainder when 76 is divided by 0 + -10 + 5 - (-2 - v).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2198649 to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 379 - 384. What is the fourth biggest value in -0.2, -0.3, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/10245 and 21?\nAnswer: 10245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/17 + -28\/51. Suppose -25*f + 8 = -23*f. Which is the third smallest value? (a) f (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100732 - -100728. Let l be (-4)\/6 + (-8)\/(-10). Which is the biggest value? (a) -2\/17 (b) i (c) l (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -86, 1, -2, -1 in descending order.\nAnswer: 22, 1, -1, -2, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -30739, 1.7, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 181 - 181.1. Let x = -1468 + 13214\/9. Which is the nearest to x? (a) -5 (b) 5 (c) r (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 2. Let y(a) be the first derivative of a**4\/24 - a**3\/6 + 5*a**2\/2 - 8. Let d(o) be the second derivative of y(o). Give -2*d(c) + z(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3714)\/4952*(-148)\/(-3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -289.4 + 336.08. What is u rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.15. Let t = -6.9 + 6.982. Let l = n + t. What is l rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4\/7 + 4*k**3 - 20*k**2\/7 - 4*k + 24\/7 = 0?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3790, -7601, -11412, -15223, -19034, -22845?\nAnswer: -26656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 14*g - 16. Let z be c(-9). Are z and -61 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:51 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3 + 1536*f**2 - 25032*f + 43904 = 0.\nAnswer: -784, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:45 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 1061*m - 1056*m - 14, m - 18*t = -22 - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66114651*l - 149441406 wrt l.\nAnswer: 66114651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*b + 3, -7*k + 2*k + 4*b = -13. Sort k, -1, 2.\nAnswer: -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*(-2)\/15*-33. Suppose -8 = -2*v + t. Let d = 142 + -37. What is the greatest common factor of v and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13, -4, 47, 170, 395, 752?\n\"Answer: 5*v**3 - 9*v**2 + v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 38. Suppose -2*z + 106 = -p*b, -2*z + 47 = 5*b - 43. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1797, -1309, -2?\nAnswer: -1309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -3*m**5\/100 - m**4\/5 + 3*m**3\/10 + 4*m**2. Find d such that l(d) = 0.\nAnswer: -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 3}. Give prob of picking 1 c and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/100*-2*5\/6.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6*(-3)\/108)\/(-1))\/(20\/(-90))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/11 in -1296, 1\/53, -2\/9?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, 2, -2\/7, 5.\nAnswer: -2\/7, 1\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12295873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-5 - -5)) + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 8*n - 4. Let m(w) = -1. Let i(f) = -b(f) + 3*m(f). Let c be i(-8). Let z be 5\/((0 - -2)\/2). What is the highest common factor of z and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/8*-2*(-5)\/(-100)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:28 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1672051, 0.1, -6 in ascending order.\nAnswer: -1672051, -6, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + -2 + 0 + sqrt(147) + ((sqrt(75) - (sqrt(75)*-1 - sqrt(75))) + sqrt(75))*-4 + 0)*2)**2.\nAnswer: 31536*sqrt(3) + 576828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1551*p + 1401*p - 2986*p.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 3*x**2 - x - 5. Let n be g(4). Let l(o) = -4*o + 13 + n*o + 8*o. Let d(z) = 5*z + 6. Calculate -9*d(t) + 4*l(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6092, -12193, -18306, -24431, -30568?\n\"Answer: -6*j**2 - 6083*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1419*v**3 + 956*v**2 + 5*v + 6. Let s(x) = -9*x**3 + x**2 - x - 1. Let h(d) = i(d) + 6*s(d). Find the third derivative of h(z) wrt z.\nAnswer: -8838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404 = 273*u + 688 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*t + 30 = 300*t + 2*m, 2*t + 13 = m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f - f + 78 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from {h: 11, g: 1, w: 3}?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 2*f - 10, -f - 5 = -2*d. Suppose -2*z - z + 42 = d. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/3096 and 42.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.316 * 64.\nAnswer: -20.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 91*l**3 - 2*l**2 + 4*l - 1. Let w be m(1). Suppose w = 7*f - 104. Solve 0 = 4*p + 8 - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91 - -743. Let x = r - 652.0000277. Round x to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2)*((-14)\/18)\/((-7623)\/(-6534)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 150\/833, -43 in descending order.\nAnswer: 150\/833, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.068513916348 and 3901.\nAnswer: 3900.931486083652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/5)*k**(-3\/4) assuming k is positive.\nAnswer: k**(-31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 395680 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 924390.4 nanograms in kilograms?\nAnswer: 0.0000009243904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -16686\nAnswer: 2\/8343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let t(c) = 11*c + 5. Calculate -4*a(g) - t(g).\nAnswer: -7*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 7*h - 4*h - 38, h = -2*r - 30. Let n(z) = z**3 + 17*z**2 + 13*z - 29. Calculate n(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 57\/991982?\nAnswer: 57\/991982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (305\/244)\/((-2)\/8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by 14.\nAnswer: -201\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127335 (base 8) in base 13?\nAnswer: 174b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/150*-4 - -117*(-206)\/301275?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 219*d**4 - d**3 + 1501*d**2 - d - 3787592 wrt d.\nAnswer: 876*d**3 - 3*d**2 + 3002*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1177 and 34133?\nAnswer: 34133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 0.06 (b) -0.2 (c) -0.053\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1374)\/3206*700\/12.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*y - 1623*y**2 - 840*y + 418*y.\nAnswer: -1623*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2349 and 2511.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5508 by 1836.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*o - 60501 = 14*o. List the prime factors of o.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29264, 2, 22.\nAnswer: 2, 22, 29264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 50*u**2 - 315*u + 6023. Give a(46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*y + 153 - 1075, -5*y + 1327 = 3*f. Does 454 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 5*l**4\/4 - 2*l**3 - 7*l**2\/2 + 4*l - 11589. Determine a(-2).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1)\/2*1. Suppose -7 = -a*h - 3. Is 1 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 4*m**2 + 383*m - 17. Calculate l(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (214\/(-2)*4)\/((-37992)\/(-9498))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 23*v**3 + 7*v**2 + 7*v - 5. Let k(h) = 23*h**3 + 8*h**2 + 8*h - 6. Let d(j) = 6*k(j) - 7*m(j). What is the lowest common multiple of 32 and d(-1)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13*z**2 - 18*z**2 - z**2 + 5*z**2 - 23*z**2. Let y(j) = 3*j**2. Give s(y(d)).\nAnswer: -450*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 - (11 - ((12 + -5 - -13) + -6))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147269607*g + 101857215 wrt g.\nAnswer: -147269607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 597*y - 10*y + 11153 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1932, 2345, 3476, 5685, 9332?\nAnswer: 14777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 + x**3 + 2\/3*x**4 - x**2 + 3*x. Solve h(k) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**3\/5 - 61528*l**2\/5 + 1847478*l\/5 - 4988628\/5 = 0.\nAnswer: -30794, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 8, a: 2}. Give prob of sequence ueea.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2050606827 to the nearest integer?\nAnswer: 45284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 125 (b) 20 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0*(b**8\/b*b)\/b*((b*b**(-8))\/b)\/b**0 assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 11, 6, 5, 751.\nAnswer: -10, 5, 6, 11, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1)\/(-5*sqrt(18)\/sqrt(3)) + (-1*sqrt(294) - sqrt(294) - sqrt(294))\/(-1*sqrt(50)) + 3.\nAnswer: 3 + 23*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -552 - -554. Let o(n) = 3*n**2 + 2*n. Let l(p) = -p**2 - p. Let w = 16 - 11. Calculate b*o(h) + w*l(h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (1 - -2) + 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1953204?\nAnswer: 2, 3, 11, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, y: 2, o: 1, g: 3, w: 4}. What is prob of picking 1 w, 1 e, and 1 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006813149 to five decimal places.\nAnswer: 0.00681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 2 - 34 = 0. Suppose x*c = -19*c + 14775000. What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from qqqooogqqgg?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -7*u - 78. Suppose -6*l + 51 + 321 = 0. What is the remainder when p(-37) is divided by l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 77\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 12:18 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 43*d**2 - 104*d - 305. Give h(44).\nAnswer: -2945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116690597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, -5, 2.6, -3, -6\/13, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -9. Let a(s) = 159*s**3 + 4*s**2 - 6*s + 1. Let j(y) = -y**3 + y**2 - y. Let r(t) = a(t) - 4*j(t). Does 40 divide r(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18722, 37535, 56326, 75095?\nAnswer: 93842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n. Let q(f) = -f. Let b(g) = 4*j(g) + 9*q(g). Suppose 3*s - 8 = s + 4*o, o + 3 = s. Let i(t) = -4*t**2 + 2*t**s + 0*t**2. Determine b(i(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5 + c**2 - 5*c - 3*c - 8*c + 0*c. Let o be t(13). Let m = o - -47. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 19*z**2 + 3*z - 395. Calculate the remainder when t(16) is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z + 3228 - 2578 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 105 - 2924*w - 2743*w.\nAnswer: -5667*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 9:37 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07 + 0.14. Let m = -1.93 - d. Let j be (24\/160)\/((-2)\/8). Put 3, m, j in descending order.\nAnswer: 3, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*b**2 + 498*b**2 - 94*b**2 - 199*b**2 - 76*b**2.\nAnswer: 23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*v = 59*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - c - 7 = 0, -4 = o + 5*c - 5. Suppose -4*w - 6 + 22 = 0. Suppose 14 = w*r + o. Solve -3*m = r + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -28, -29?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a. Let n(h) = h**2 + 23. Give n(m(o)).\nAnswer: 4*o**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 - 2*u + 2. Let r be d(2). Suppose -3*l = 5*n + 19, -r*l - 3*l - 2*n = 0. Solve -l*t + 4*t - p = 3, 0 = 2*t + 5*p + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23668939201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1870)\/5423*96\/720.\nAnswer: -4\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8492 * -0.428\nAnswer: -3634.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*o + 4. Let r = -5 - o. What is the smallest value in -0.1, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11672122, -23344244, -35016366?\nAnswer: -46688488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195424183 by -2.\nAnswer: 195424183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66084, -264350, -594794, -1057416?\nAnswer: -1652216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3105 and 74313.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.2, -24, -20.5 in ascending order.\nAnswer: -24, -20.5, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -11\/30603817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/7 - 28180374*b**2\/7 - 56360754*b\/7 - 28180378\/7.\nAnswer: 2*(b - 14090189)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1010010000011?\nAnswer: 1010010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -361 + 350. List the prime factors of n\/(6 - (-152)\/(-24)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 5*v - 3. Suppose -3*z - 12 = -0*z. Suppose -m - m + 12 = 0. Calculate the lowest common multiple of f(z) and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18548*n*q**3 - n*q**2 - 15*n*q - 3*n + 3*q**3 - 406*q**2 + 68*q - 133 wrt n?\nAnswer: 18548*q**3 - q**2 - 15*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -108\/5? (a) -4 (b) 0.5 (c) 17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*h + 12278 = 305*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a\/(a*a**13))\/((a**3*a)\/a**9) assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 23.\nAnswer: 1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m + 0*m + 2*m)*(-8 + 4 - 5)*(-1 + 5 + 2) + (2 + 4 - 3)*(0 + 0 - 3*m) to the form h + i*m and give i.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1446 and 47\/18.\nAnswer: 4338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 2816?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**4\/24 - 17*p**2. Let h(m) = -8*m**2. Determine h(z(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-6)*(-162)\/(-90). What is the nearest to 1\/3 in 1\/3, i, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105652*r**2 + 1 + 105653*r**2 + 685*r**3 - 211305*r**2.\nAnswer: 685*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - -0.3. Let o = r - 0. Suppose -7 = -5*q + 18. What is the closest to 2\/7 in q, 0.4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 11 = -4. Sort -2, -4, f in descending order.\nAnswer: -2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5812831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-5.7.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 12. What is n(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261412237943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1367\/((-16)\/8 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4 - 8. Let p be g\/(12\/(-9))*1. Suppose 0 = p*a - 6 - 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s + 50*s + 19*s + 41*s.\nAnswer: 136*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 84374*m**3 - 5*m**2 - 4*m. Suppose -2*u + 2 = -u. Let i be (u + (-18)\/3)*1. Let r be q(i). Round r to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700) + 2 - (sqrt(700) + 0 + -3))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3 + 1 + t - 7 + 4. Determine d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, a: 6, c: 4}. Give prob of sequence aaa.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11462)\/(-2605)*60\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3 = 2*a, 322*a - 324*a = 5*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680341016.\nAnswer: 2, 1741, 48847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/2550 and -37\/1350?\nAnswer: 22950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930 = -104*p - 526 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 4\/3 (c) -554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 173.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3088933923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113 - -30?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02999927 - -0.03. What is h rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*1.43.\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -7 (c) -0.1 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22253*u**2 + 7*u + 2466.\nAnswer: 44506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 203 + 230*c + 24*c - 60*c.\nAnswer: 194*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b**2 + 4*b + 7. Let o(u) = 13*u**2 + 5*u + 8. Let x(y) = -4*o(y) + 5*s(y). Does 25 divide x(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - o + 8. Let i be -4 + 3 - (-2 + (4 - 3)). Let r be q(i). Solve -3*b = -r*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 13732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5 + 252906*j**4 + 8000615308*j**3 + 343558741244*j**2 - 8000615310*j - 343558994150 = 0. What is j?\nAnswer: -63205, -43, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose -d = z*d - 60. Solve 3*o + d = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37542?\nAnswer: 2, 3, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + (1 - 2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69 or 65?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087685 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35363, 70724, 106093, 141470?\nAnswer: 176855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, j: 2, p: 2, w: 4, r: 2}. Give prob of picking 1 r and 2 j.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 883*j - 3520. Calculate the remainder when 273 is divided by o(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1210, -2415, -3620, -4825, -6030, -7235?\nAnswer: -8440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 5*j**4 - 2*j**4 + (0*j**3 + 3*j**3 - 2*j**3)*(5 - 5 + j) + 2*j**4 - 4*j**4 + j**4 + 34*j**4 - 10*j**4 - 2*j**4.\nAnswer: 23*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6785 - 6781. Suppose 4*i = -i + 20. Differentiate -863*r**i + 885*r**a - 11 + 30 wrt r.\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 29603847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 213733548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, 4\/7, 1\/22, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -150*p**3 - 135*p. Let b(i) = -i**3 - i. Calculate -270*b(c) + 2*r(c).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 200 - 200. Let k be -5 + p - (-11)\/2. Which is the second smallest value? (a) 0.3 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/54 - 19*l**3\/27 - 92*l**2\/9 - 19*l. Factor g(q).\nAnswer: 2*(q - 23)*(q + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - -0.92. Suppose -2*u - 9 = u. Let m = u + 1. Which is the biggest value? (a) 0.4 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeceeeetetce. Give prob of picking 2 c.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1985\/29699 + -3412900741\/3266890. Let q = n + 5217\/5. Let a = 8\/11 + q. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -18156, 3, -2.\nAnswer: -18156, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -15 + 223 - 112 - 133 + o. Give z(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25692 at most -25693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338496 by -86.\nAnswer: -3936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + -2. Suppose -10*a = -6*a + 104. Let v = 30 + a. Put v, j, 1\/2 in descending order.\nAnswer: v, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-60)\/(-9))*3. Let q = z + 29. Suppose -3*g - q = -2*p, 4*g = -p + 2*p - 28. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159 times -81\nAnswer: 12879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.9 + 0.1. Sort -0.5, 0, -3, h in decreasing order.\nAnswer: h, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -70*z**3 - 55*z**2 + 6. Let d(i) = -70*i**3 - 55*i**2 + 5. Let j(f) = -6*d(f) + 5*o(f). What is the third derivative of j(r) wrt r?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/36 and 65\/27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166721, 166720, 166719, 166718, 166717, 166716?\nAnswer: 166715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3*f**3 + 1. Let r(a) be the third derivative of 0*a**3 - 1\/12*a**4 + 0 + 11*a**2 + 0*a. Determine r(x(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t + 0*t)*(-59 + 127 - 26) + 8*t + t + 3*t.\nAnswer: 138*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441 - 3*z**2 + 42*z - 651 - 5*z + 14*z = 0 for z.\nAnswer: 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000118116 rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007225954 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(240))\/sqrt(5))\/(sqrt(360)\/(sqrt(90)\/sqrt(9))).\nAnswer: 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8318173.5 seconds in weeks?\nAnswer: 13.75359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 + q**2 + 11*q**2 + 3*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 31*d = -6030. Let g = 243 - d. What is the greatest common factor of g and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/13 + 172*r**3\/13 - 2298*r**2\/13 - 60200*r\/13 - 245000\/13 = 0. What is r?\nAnswer: -7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 3276*t + 6552. Calculate z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2\/5 (c) -0.4 (d) -712 (e) 154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 - i + 13. Let s be f(-8). Suppose -2*m - 156 = m. Let d = m - s. What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -b + 6, -24 = 199*b - 189*b - 2*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22232 - 22211. Solve -3*b - n = -3*s, 4*s - 3*b = 13 + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.5, -4, 1, -10001\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 699 + 29. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -21*c + 25. Let p(z) = 4*z - 5. Let b(o) = 2*g(o) + 11*p(o). Let x(a) be the second derivative of a**3\/2 - 3*a**2 + 6*a. Calculate 5*b(t) - 4*x(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 45*n - 49. Suppose 2*b + 2*y = -48, 0*b - 3*b = 5*y + 74. What is the tens digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 + 262*o - 2995. What is m(10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 818464526?\nAnswer: 2, 11, 139, 267647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c - 20*c - 21*c - 90*c**2 + 87*c**2 + 21 + 23.\nAnswer: -3*c**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 595876607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from larlrcmlrrwr. What is prob of picking 1 w and 1 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 995.36717 to the nearest 10.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*y + 515 - 511, -3*o - 2*y - 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 6 + 2*c**2 - 6 - 3.\nAnswer: c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11 + (24\/(-11) - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61347225 to the power of 1\/2, to the nearest integer?\nAnswer: 7832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Let v = -6 - d. Let a = -6.01 - v. What is a rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 142*g**2 - 17*g + 2412. Let q be c(142). Let t = 2.16 - -96.84. What is the biggest value in t, 2\/23, -0.5, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1602)\/2240)\/3 + (-78)\/(-130) and 47\/20.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-54)*(-1620)\/4080)\/(3\/(-4)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -5, -4 in descending order.\nAnswer: -4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 + 8.6. Let f = -99 + 112.2. Let d = f - r. Put 1, d, -0.5 in ascending order.\nAnswer: -0.5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a - 245. Let d be f(-13). List the prime factors of 961 - (d\/8 + -4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -268*o - 290 wrt o?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74)\/(-3) - 45\/27. Suppose 3*k = 4*c + l, 0*c + 18 = 2*k - 4*c. Suppose -5*d = -2*x + k - 2, -3*x + 4*d = -8. Sort -7, -3, x, -2 in descending order.\nAnswer: x, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -7*u**5\/6 - 967*u**4\/3 - 42975*u**3\/2 + 251105*u**2\/3 - 127304*u\/3 - 19456 = 0.\nAnswer: -152, -128, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9817 - 9820.3813. What is v rounded to 2 decimal places?\nAnswer: -3.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g - 92. What is y(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.8 and -5.152631815.\nAnswer: 9.647368185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n - 3. Let q be c(3). Suppose 5*k - 3*d = -q*k + 11, -2*k + 6 = -2*d. Suppose 2*a = k + 3. Solve 2 = -o + a*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68442007 to the power of 1\/2, to the nearest integer?\nAnswer: 8273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 1514 - 249. Let x = a - 157. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1863*p + 198. Let u(q) = 38*q + 4. Give -6*s(y) + 297*u(y).\nAnswer: 108*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 8 + 0 - -16 - (0 + 16)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(sqrt(700) + -1)**2 + -4 - (-6*(sqrt(700) + (sqrt(700) - sqrt(700)*-1)) + -5)**2)*5.\nAnswer: 37200*sqrt(7) + 4494520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - 345354*v + 345354*v. Let j(m) = -22*m**2 - 1. Give d(j(h)).\nAnswer: 3388*h**4 + 308*h**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 54, 462, 1574, 3744, 7326, 12674?\n\"Answer: 59*m**3 - 2*m**2 + m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1.75. Let i = 0.25 - l. What is the fourth biggest value in -1, i, 0.3, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 26*b**2 + 4*b + 111. Is w(28) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 (base 5) in base 2?\nAnswer: -1010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 40. Let l(o) = -o**2 + 77*o - 768. Let j be l(65). Factor -29*i + 4*i**2 - 5*i - k*i + 28 + j*i.\nAnswer: 4*(i - 7)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 116, -531, 0 in decreasing order.\nAnswer: 116, 5, 0, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3501026 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**4 + 5 - 2 + 15*h - h**3 + h**3 - 5*h**4 as v + f*h**2 + m*h**4 + l*h**3 + i*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -46 (b) -0.12 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 978065*f**3 - 411*f - 218 wrt f.\nAnswer: 5868390*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 3*v - 270, -y - y - v + 134 = 0. What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 69\/8 (b) 0.2 (c) 1\/3 (d) 371\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**3 - 231*h**3 + 105*h**3 + 96*h**3 - 3 + 3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3608, 3598, 3584, 3566, 3544, 3518, 3488?\n\"Answer: -2*z**2 - 4*z + 3614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:09 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698.708 millennia in months?\nAnswer: 56384496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43186 and 16610?\nAnswer: 215930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + y = 110, -3*y - y - 88 = -4*p. Let w(x) = -x**3 + 8*x - 5. Let o be w(3). Let h = 20 + o. Calculate the least common multiple of h and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24132.41 days in hours?\nAnswer: 579177.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 8. Let b be z(7). What is the third derivative of -31*u**2 + 2*u**6 + 23*u**2 - 4*u**b wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(4 - 3 - 2) + 5 + 4 - 5)*(-2*c + 3*c + c) + (-1 - c + 1)*(3 - 3 + 1).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*f - 23, 2*f - 26 = -2*b - 0*b. Find the common denominator of (-34)\/(22*(-2)\/f*2) and 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.3171, -2565.\nAnswer: -2565, 0, 0.3171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/3? (a) -63 (b) -0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - q**3 + 0*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53\/14 - -9\/7. What is the second biggest value in -5, -48, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206240191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 5*t + 2. Suppose 0 = -4*j + y - 21, -5*y = 2*j + 3*j + 45. Calculate v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(-2)\/j)))**(-3\/22)\/(((j**2*j)\/j)\/j)**10 assuming j is positive.\nAnswer: j**(-211\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1532578419.\nAnswer: 3, 3061, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.8 + -31.8131. What is y rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1393 - -0.6393. Let x = 14 - 25. What is the second smallest value in x, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 3775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1003.48994 + -18.71.\nAnswer: -1022.19994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13866\/5 + -2774. Which is the smallest value? (a) -0.1 (b) 11 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10738.3 to the nearest 10.\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 20 = 5. Suppose r*d - 3*d = 9658. Let z = d + -6829. What is z rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -874 - 5?\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let j be (-21)\/(-6) - 1\/2. Suppose 3 + j = v*k. Solve 4*z - k*f = -18, 5*z - 4*f - 2 = -25 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12 + 4403301.83.\nAnswer: 4403301.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**3 + 2*u**4 - 209817*u**6 - 3*u**3 + 209282*u**6 + 102 + 4*u**2 wrt u?\nAnswer: -64200*u**3 + 48*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21653204 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: Evaluate (-1)\/(-1)*9\/18*16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -15 + (6 - 12) - 21?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/(2*1\/1))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -8, -3 in ascending order.\nAnswer: -8, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 - 3 - (-9 + 16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 35, 44, 37, 8, -49?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -b7?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 + -98. Let v = c - 133. Let a = -124 - v. Solve 1 - 7 = -3*s + 3*p, 17 = -a*s - p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/((-4408)\/(-19)))\/((-11)\/(-4))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-5 + (-7)\/(-7)) - (-7 + 5). Solve -5*a + 6 - 33 = -x, 0 = 2*a + d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:11 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 0)\/(-10 + 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k - 18. Let x be h(-8). Let l be x\/(-28)*-2 + 3\/(-7). Let d(j) be the second derivative of -j**3\/6 + 7*j**2\/2 + j. Calculate d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-2\/61)\/(d**(-1\/18)\/(d\/((((d\/(d*d\/(d*d*d*d*d**6*d)))\/d)\/d)\/d))) assuming d is positive.\nAnswer: d**(-45761\/7686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 38672 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: Let g be (-1 + 19)\/(-3) - (-74 - 13). Calculate the highest common divisor of g and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26934972203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - (12 + 23 + -13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50620619, 101241225, 151861831, 202482437?\nAnswer: 253103043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 55 - (-3)\/6*0. Let s(i) = i**3 + 6*i**2 + 5*i - 1. Let z be 2\/(-1 + (-1)\/(-2)). Let g be s(z). What is the highest common factor of r and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*h - 29, 2*k = -4*h + 32. Solve -51*l + k*c + 11 = -52*l, 0 = 3*l + 2*c + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -64 - -64.1. Let g be (1 + (-2)\/4)\/((-4)\/(-2)). Sort g, 6\/7, s, 2\/3 in decreasing order.\nAnswer: 6\/7, 2\/3, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -35*x**3 - 1847*x**2 + 412*x - 647. What is p(-53)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09472 * -5527.\nAnswer: 523.51744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*v = 223*v. Solve v = -473*l + 463*l + 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*w - 4182 + 16456. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 1 = -1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 168.3?\nAnswer: -168.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3\/((-18)\/(-26)) + (-1)\/3 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 2*j - 3 + (2 + j - 2)*(8 - 1 - 3))*(10 - 25 + 7)*(3 - 3 - 1).\nAnswer: 48*j + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 3*t**2 + 4*t. Let p(s) = 4*s**3 - 5*s**2 + 7*s. Give -4*p(f) + 7*w(f).\nAnswer: -2*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 9*y**2 - 22*y - 112. Let b be u(-8). Suppose b = 57*i - 42*i - 3150. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20 = 0, 3*d + 33 - 15 = 3*p. Calculate the remainder when 317 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l + 2. Let t be m(2). Suppose p = -p - t. Is p < -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-35)\/(o*o\/(o\/((o\/((o\/(o\/o**(2\/71)))\/o*o*o))\/o))))\/(o**(-26)*o*o\/((o\/o**36*o)\/o)) assuming o is positive.\nAnswer: o**(-3264\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1, -5, -0.2, -3, 0.2, 2 in ascending order.\nAnswer: -5, -3, -1, -0.2, -0.1, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -634, -1151, -1668?\n\"Answer: -517*y + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by 1842\nAnswer: 119\/1842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2831*-1737\nAnswer: -4917447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2097597*w**5 + w**4 + 13045824*w**2.\nAnswer: -125855820*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 + 3*d. Let n be r(-4). Is 12\/8 + 2246\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 a when three letters picked without replacement from {i: 3, a: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -288, -1414, -3390, -6228, -9940?\n\"Answer: -2*x**3 - 413*x**2 + 127*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(245) + ((sqrt(55) + sqrt(55) + sqrt(1375))\/sqrt(11))**2)*2.\nAnswer: 14*sqrt(5) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*n - 13, -23*n + 25*n = 3*v - 7. Solve 0 = -v*t - 12*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265917111?\nAnswer: 1265917111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/5))\/u)\/u)**(1\/68) assuming u is positive.\nAnswer: u**(-7\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153532 and 3144?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (3 - 3) - (2 - 3). Let w be (((4 - h) + -4)\/(-3))\/(-1). Solve w*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 62. Let j = 7 + y. Let d = j + 11.8. Sort d, 3, 1\/4.\nAnswer: d, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, -2.6, 1.79, 0.1, 3\/5 in decreasing order.\nAnswer: 3, 1.79, 3\/5, 0.1, -0.4, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5277.\nAnswer: 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 11*k + 50. What is the smallest common multiple of w(5) and 2175?\nAnswer: 6525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*k**4 + 3*a*k**2 + 241*a*k + 36*k**4 wrt k.\nAnswer: -24*a*k + 864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011004201159 to seven dps.\nAnswer: -0.0011004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*d + 1484 - 1484 + (2 - 2 + 1)*(-d + 3*d + 1 + 0) to the form c + x*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0.019, -1\/3.\nAnswer: -1\/3, 0.019, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 - x**3 + 4*x - 8*x - 4 + 0*x**3. Suppose 5*q + 7 = 22. Suppose 2*y - 3*z - 2 = 0, -z + 6 = q*y - 8. What is i(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182271\/2365 - -156\/473. Let s = h - 77. Let q be (1\/(-2))\/((-1)\/2). Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 + 13*t - 17. Let y(k) = 4*k**2 + 12*k - 16. Let n(h) = 4*d(h) - 3*y(h). Find m, given that n(m) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7675*b - 7677*b - 7672*b - 7670*b + 30694*b - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246999?\nAnswer: 3, 281, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-217)\/(-2170)*144\/6*-3.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 647579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 772.55217 to the nearest 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x**2 + 365152624*x + 121717540 = 0. Calculate x.\nAnswer: -30429385, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 1 + 7*s - 19*s + 12*s - 20*s**2 as n + w*s + f*s**2 and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*w**2 + 17*w**2 - 35*w**2)*(-58*w - 2*w - 1 - 6*w).\nAnswer: -264*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - j + 3. Suppose 26 = 3*u - 0*u - w, 22 = u - 3*w. Suppose 35 = u*t - 0. Suppose -2*g - 4*l = -4*g + 8, g - t*l - 10 = 0. Calculate v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = 5*p, -6*x + 1 = p - 2*x. Let q be p\/(-2) + (-102)\/60. Let s = 1\/8 - 0. Sort 1\/4, q, s in decreasing order.\nAnswer: 1\/4, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 2*j. Let p be u(-3). Let w = 19 + p. Suppose 78000 = w*c - 2*c. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 8*x - 5. What is n(6)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 - 4*d**3 + 20*d**3 + (2*d**3 + 7*d**3 - 3*d**3)*(-3 + 6 - 2) to the form j*d**3 + h + y*d**2 + s*d and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34030 + -4?\nAnswer: 34024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/387335 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297*z + 1298*z + 194*z**2 - 3*z**3 - 2*z**3 + 4*z**3.\nAnswer: -z**3 + 194*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 195, 171, 137?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**5\/60 - s**4\/6 + 2*s**2. Let t be j(-3). Factor p**3 + 0*p - 3*p + 5*p**t - 3*p**3.\nAnswer: 3*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2668, -2718, -2768, -2818?\n\"Answer: -50*b - 2618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15450 (base 6) in base 9?\nAnswer: -3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 27 - 4*w - 2 + 5 - w - 5 + (2 + 2 - 2)*(2 - 2 - w))*(3 + 3 - 4)*(8 - 1 - 2) as j + y*w and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szbszzzsqzs. What is prob of picking 1 s, 1 b, and 1 q?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 36406000 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41638 divided by -15?\nAnswer: -41638\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 310208 times 0.36?\nAnswer: 111674.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 3*j + 3*j + j**2. Let z(w) = -540*w - 99. Let p(f) = 11*f + 2. Let i(a) = 198*p(a) + 4*z(a). Determine b(i(r)).\nAnswer: 324*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 divided by -67?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238342*p**5 - 216*p**4 - 123497680*p**2 wrt p?\nAnswer: 14300520*p**2 - 5184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33591 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -11, -1.56, -0.033?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-12))\/((-2)\/(-6)). Let d = 0.05 - 3.05. Let l = d - -5. What is the nearest to 1 in l, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -85, -95, -117, -157, -221, -315?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**3\/6 + 5*p**2\/2 + 2*p + 35. Determine d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785789 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + r + 4*r + 5 to b*r + x and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 + g**2 - 2*g. Calculate the common denominator of f(1) and -11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21 + (-66)\/77?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2659)\/(-35) - 6\/15. Let c = 76 - l. Let d = 0.3 + -2.3. What is the smallest value in c, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1bb19?\nAnswer: -1bb15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14557690417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51972364 to the nearest integer?\nAnswer: 7209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 72*y**2 + 174*y + 123. What is v(-20)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*u + (4 - 2 - 4)*(0 + 0 + 2*u) + 1 - 2*u + 3*u + 2*u.\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 415\/7, 29, -2, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(1*(1 + sqrt(208)) + 0)**2.\nAnswer: -1254 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {n: 9, y: 10}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 + 252. Let c(o) = 186*o + 7 + 124*o - h*o. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*r*s**2 - 502269*r*s + 7*s**2 - 744175 wrt r?\nAnswer: 10*s**2 - 502269*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1501 + -1135. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:41 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -333 + 13*z**2 + 1378 - 328 - 414 - 303.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2032 + -331212132?\nAnswer: -331220230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4660284ug in grams?\nAnswer: 0.0000004660284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2\/(-6) - 0). Suppose -n = 5*i - 118, -3*n = y*i - 26 - 40. Let o = 393 + -389. What is the greatest common factor of o and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5)\/(116\/435)*96\/(-54). Factor -2\/15*b**2 - 6\/5 - d*b.\nAnswer: -2*(b + 1)*(b + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 1718*h = 120771 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9931 * -0.119\nAnswer: -1181.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9*u - 4*u + 19 = 0, -2*u = 4. Find the third derivative of 6*v - 96*v**3 + 3*v**2 - 4*v**6 - v**5 - 86*v**i + 182*v**3 wrt v.\nAnswer: -480*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b**2 + 4. Let h(y) = -1. Give 2*h(v) + o(v).\nAnswer: -v**3 + 4*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13798 divided by 6899.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 2, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-95) - 28\/5 - -3. Let o be (39\/(-6))\/(1 - (-3)\/f). Suppose -4*l = -0*l - 52. What is the greatest common divisor of l and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r + 1 + 0*r)*(r + 4*r - 4*r) + 0*r**2 + 2*r**2 + 5*r**2.\nAnswer: 8*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 > -148348\/1899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 19*l - 952. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - 3 - (38 - ((1 - -36) + -9))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(1\/3)*l))\/(l\/((l**(-6)*l)\/l)*l))\/(l**(2\/3)\/l)**(1\/4))**(-1\/5) assuming l is positive.\nAnswer: l**(103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*y**5 - 78*y**4 + 98*y**3 + 0*y + 0 - 32*y**2.\nAnswer: y**2*(y - 16)*(3*y - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 346005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 12 + 2. Calculate the greatest common divisor of r and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144849.\nAnswer: 3, 53, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8\/7, -505\/7 in descending order.\nAnswer: 8\/7, -0.2, -505\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 22969*u - 22967*u = -62, 0 = c + u + 34 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -206155 divided by 41231?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b = 2. Solve -4*u = -b*y + 10, u + 2*u + 2*y + 18 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 467 + 443 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-3*(-1 + 3). Let w(s) = -4*s - 1 - 5*s + 0*s - s + 11*s. Let m(c) = 2*c - 3. Let b(t) = y*m(t) + 17*w(t). What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, 68, 584 in ascending order.\nAnswer: -3, -1, 5, 68, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.188 and 65.\nAnswer: 64.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {f: 1, z: 2, l: 3, b: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2072\/683?\nAnswer: -2072\/683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(50)*-2)\/sqrt(10))*5 + -5 - -4*((sqrt(405) - (-3 + sqrt(405)*2))**2 - sqrt(405)).\nAnswer: -237*sqrt(5) + 1651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156570.19 days to weeks.\nAnswer: 22367.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 9 - (0 + -2 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -46\/31 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 47, 149, 343, 659, 1127, 1777?\nAnswer: 2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 644?\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 1 i when three letters picked without replacement from {j: 3, o: 1, h: 4, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691232.6 meters to nanometers.\nAnswer: 691232600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**4\/4 - 3*h**3 - 11*h**2\/2 - 12*h + 3. Let x be w(-8). Solve 8 + x = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 983 divided by -3.\nAnswer: -983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-9) assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1887*r**2 + 15*r + 24. What is the tens digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 = q. Suppose 4*h + 27 = 5*r + 131, -3*h + 84 = -4*r. Let w = q - r. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -6. What is the least common multiple of (-5)\/(4*(-2 - (-21)\/12)) and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -284 in 0.2, 2, -5, -36, -4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25110 and -2.\nAnswer: 25108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -322302?\nAnswer: -322311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.026 - -0.226. What is the nearest to -2\/7 in r, -1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 252\/116117?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 - 2*g**5 + 2*g**5 + (2*g**3 + 3*g**3 - 4*g**3)*(0*g - g + 2*g)*(-5*g + 0*g + 4*g).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 578196.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 835 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 3. Let f be o(3). Suppose 4*v - 567 = -3*v. Let h = 117 - v. Calculate the greatest common factor of h and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from rcrricicqc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 + -204. Which is the second smallest value? (a) -3\/2 (b) -1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12818 + 12362. Put -2, 4, 1, u in decreasing order.\nAnswer: 4, 1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 7) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(432) + 5)**2 + sqrt(432) + sqrt(33)\/(sqrt(704)*-1).\nAnswer: 863*sqrt(3)\/8 + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1. Let l(o) = -2*o - 4. Let c(m) = -l(m) - 4*t(m). Let k(g) = -4*g. Determine c(k(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-4 + 4 - 3) + -140 + 74 - 8.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6546.\nAnswer: 6553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52249415\/246 + -212396. Let h be -1 - (-1 - (0 + 0)). Is z bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-7) + 1)*(-322)\/1058\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3819*n + 39073 = -10574 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -49*u + 41. Let n(i) = 25*i - 21. Let x(l) = 5*n(l) + 2*z(l). Let v be x(-3). Let s be -1*30\/8 + 26\/v. Put -1, s, 3 in decreasing order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 19 - 42 + 28 + 489*b. Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(8)\/(3*(sqrt(4) - sqrt(16))))*6)**2.\nAnswer: -96*sqrt(2) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 14*q + 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60669687 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*w + 23442 = 19946 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557 + 543 = -7*o. Is o greater than 20\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -0.02, -94, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1667502*m**5 + 268058*m - 1 wrt m.\nAnswer: 33350040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*s = 236*s + 7832. Let b = 990 + s. Let f = 0.46 + -0.06. Which is greater: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 360183531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w*z**3 + 12726*w - 348*z**4 + 1 wrt z?\nAnswer: -12*w*z**2 - 1392*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0*q**2 + 0*q**5 + 0*q**3 - 17\/56*q**8 + 31*q + 0*q**6 + 0*q**7 + 0 - 4\/3*q**4. Find the third derivative of t(p) wrt p.\nAnswer: -2040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/59691 and 13\/12?\nAnswer: 238764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24e (base 15) in base 14?\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 31. Let h = -8 + 7.7. Let p = 3.9724 + 0.0276. What is the third biggest value in p, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (-6)\/15 + 111\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + sqrt(117) - (sqrt(117) + sqrt(13))*-3)**2 - ((3 + sqrt(832))**2 + -1)).\nAnswer: 12*sqrt(13) + 2088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 7*i + 6. Let w(c) = c**2 - 6*c - 5. Determine 3*j(u) + 4*w(u).\nAnswer: u**2 - 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468 and 83772.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.93 less than 21622?\nAnswer: 21624.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:58 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 5\/7 (c) 0 (d) -0.1 (e) 914\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - a**2 - 12*a + 10145. Does 95 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*d - 4*x, 5*d - 4*x + 7*x - 20 = 0. Let v = -177 + 2299\/13. Let c = -11.2 - -11. What is the nearest to d in 0.1, v, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 510\/7 or 74?\nAnswer: 510\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*c + 5*w, 0 = 4*c + w + w - 28. Let q(f) = f - 2. Let t be q(c). Suppose -t*x = -5*g - 60, 3*g + 0 = -x - 2. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 768*b. Let v(k) = 9*k**2 - 24*k + 6. Let n(q) = 10*q**2 - 28*q + 7. Let r(f) = -6*n(f) + 7*v(f). What is r(u(l))?\nAnswer: 1769472*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-1 + 1 - k)*(-41 + 77 - 45).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u - 2)*(-35439*u + 1 + 35436*u + 1 + 4*u**2).\nAnswer: -8*u**3 + 6*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 4*j + 5. Let h be m(-5). Suppose 3*v + 159 = 4*l - 2*v, -5*l + 2*v + 186 = h. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 19*h + 34.\nAnswer: (h + 2)*(h + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -7\/3, 3\/4, -6\/7, 7\/6210?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 114.858913437 + -114.859. Round r to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215317.\nAnswer: 215317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + 20 - (29 + -6 + (6 - -4))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*j**3*r**3 - 2*j**2*r**3 - j**2*r**2 + 32*j**2 wrt j.\nAnswer: 276*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*x - 11 = 0, -87 = 5*x - 67. Suppose 4*a = -0 - 48. Is 76\/6 + 4\/a*h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130636.3307 to the nearest integer.\nAnswer: -130636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 46, 43, 24, -11, -62, -129?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 - -2. What are the prime factors of (-4 - -1)\/3*j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a decade in months?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 3 - -1)*2\/2. Sort v, 14, 3.\nAnswer: v, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11)*k)**(2\/27)\/(k**13*k*k**23) assuming k is positive.\nAnswer: k**(-1019\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/64 and -57\/88?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.06502 - 1.4650248. Let v = -25 + 25.4. Let b = v + y. Round b to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14561 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:08 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) 1\/2 (c) -0.171 (d) -5\/2 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, i: 3, e: 3, t: 1}. What is prob of picking 1 t, 1 e, and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.11 - -83. Let l = -0.37 + 0.07. What is the biggest value in 0, l, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -2*g**6\/3 - 4*g**5\/5 + 3*g**4 + 4*g**3\/3 - 4*g**2 - 7. Suppose q(m) = 0. What is m?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*l**4\/6 - 1346*l**3 - 17366*l**2\/3 - 1544*l = 0. What is l?\nAnswer: -4, -2\/7, 0, 1158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - sqrt(2160)*-2)\/(sqrt(320) - (sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*1*-3 + sqrt(320)) - sqrt(320))) - sqrt(320)) + -4.\nAnswer: -4 - 13*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 62885324*l\/5 + 62885322\/5.\nAnswer: 2*(l - 31442661)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 5*x - 2, -4*x = 5*t - 46. Suppose -t = -4*s + s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 405, 1458, 3155, 5502, 8505?\n\"Answer: n**3 + 316*n**2 + 98*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1880 or 13\/2455?\nAnswer: 13\/2455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*h**4\/7 - 1014*h**3\/7 - 5722*h**2\/7 + 4176*h\/7 + 360 = 0. Calculate h.\nAnswer: -21\/4, -2\/5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -12*o - 71. Let j be q(-6). Sort -5, -126, j in increasing order.\nAnswer: -126, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 19*s**7\/21 + s**6\/30 + 3*s**5\/20 + 5*s**4\/6 - 7*s**3\/3 + 7*s**2\/2 + 6105*s. Find the third derivative of y(z) wrt z.\nAnswer: 2280*z**2 + 24*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -17*x**2 + 13*x - 106*x**3 + 4*x**2 + 107*x**3. Suppose 3*w + 0 = 3. Calculate the least common multiple of w and t(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4277 and 15770615.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.1, -4, 2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20695405 and 2020?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times 8594?\nAnswer: 610174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 - 141. Put -4, l, 9 in ascending order.\nAnswer: -4, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4145484 and 2499.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -1143.\nAnswer: 16\/1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g**(3\/4)\/g)*(g\/(g**(-2\/3)*g*g))**(-10\/9) assuming g is positive.\nAnswer: g**(-689\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -1, 0.3, -21, -1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13508 and 13508.\nAnswer: 13508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 924\/336 - ((-10)\/8 + 1). Let z = 6 + -1. Suppose 0 = -2*n - 5*b - z + 34, 0 = 4*n + m*b - 23. Solve -1 = n*f + 3*i + 12, -5*f + i + 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -4*m + 15, -m + 3*t = -15. Suppose i + m - 28 = 0. Let f = i + -6. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22575, 40682, 58789, 76896?\n\"Answer: 18107*k + 4468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 126, 182, 234, 282, 326, 366?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 29*z**2 - 1 + (-4*z + 2*z + 0*z + (0*z + 0*z - z)*(5 + 0 - 3) + 2*z - 4*z - z)*(-2 + 9 + 5)*(-z + 0*z + 3*z).\nAnswer: -197*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 81169*y + 11 + 154833*y - 21. Let w be j(5). Round w to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3939093*l**3 + l**2 - 1. Let m be w(1). Let j(d) = 4392*d**2 - 12*d + 13. Let y be j(10). Let u = y - m. Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 66*h**2 - 192*h + 2016.\nAnswer: -3*(h - 4)*(h + 12)*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(225) - (sqrt(1573) + 2*sqrt(1573))**2) + 0 + (sqrt(637) - (sqrt(637) + ((sqrt(637) + sqrt(637)*2 + -1)**2 - sqrt(637)))).\nAnswer: -19891 + 246*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9728 and 24320.\nAnswer: 48640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -1, -2 in decreasing order.\nAnswer: 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 340*j**2 - 212168*j + 4992.\nAnswer: 4*(j - 624)*(85*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/60 and -151\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3135*b - 3135*b + 156 - 5*b**2.\nAnswer: -5*b**2 + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = i - 14. Let b(q) = 140*q**2 + 210*q. Let j(t) = -20*t**2 - 30*t. Let u(o) = i*b(o) + 15*j(o). What is the second derivative of u(l) wrt l?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaabb. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 8 = 7*y. Find the third derivative of -8*s**2 + 8*s**2 + 15*s**3 + 6*s**y wrt s.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s + 65 = -21*s. Which is greater: 37\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10859 + 40331. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -511737 divided by 281\nAnswer: -511737\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihh. What is prob of sequence ihh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 2. Let t be z(7). Let u(j) = -j**2 - 5*j + 6. Let h be u(t). Suppose 3*q = h*q - 6. Solve -f - q*f = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -175, -181, -197, -229?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*p - 43 = 0, 19*p - 148 = -4*o - 567 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64\/17 - 559\/153. Which is the closest to m? (a) 3\/5 (b) 0.8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42792910, 42792912, 42792914, 42792916, 42792918?\nAnswer: 42792920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose 12*x - 14*x = -4. Suppose -x*d = -t*d + 26. Solve 0 = y + 1 + 1, -4*s + d = -3*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 3552.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 13938?\nAnswer: 13938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 11*m + 17. Give b(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100110111110001 (base 2) to base 7.\nAnswer: -1363561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i - 12. Let d(g) = -3*g. Let s be d(3). Let b be m(s). Let t = b - -459\/7. Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 8 = 5*y, 4*o + 2359*y - 40 = 2362*y for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Suppose 0 = 2*l + 5*y - 84, a*l + y + 126 = 3*l. What is the greatest common divisor of l and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 193*m - 578. Determine x(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, u: 2}. Give prob of sequence uukk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(1 + -1 + -4). Suppose 0 = -n*q + 136 - 8. Calculate the common denominator of 13\/6 and (-8)\/(q\/(-6))*(-6)\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.9 - 81968.\nAnswer: -81964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(14\/(-245)*-7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 96 = 0, -3*s = 174555*h - 174552*h - 78 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -85. Suppose x + b - 6 = 0, 2*x = -2*x + 4*b. Let k be (0\/(-5 + x))\/(-1). Solve k = 5*h + q - s - 0, 3*q = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v - 1 + 8*v**4 + 8*v - 5*v**4 - 2*v in the form n + c*v + r*v**2 + q*v**4 + h*v**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.28692 decades in millennia?\nAnswer: 0.6428692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q + 67. Let s be r(17). Let z(b) = b**3 + 7*b**2 + 8. Let m be z(-7). Calculate the highest common factor of m and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 5*t + 4. Let p be m(5). Suppose -p*d + 88 = -2*d. Suppose -h = -3*x + 8*x - d, 66 = 4*h - 2*x. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/5 - 4*f**2. Let g(a) = -a**2. Determine g(x(o)).\nAnswer: -144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393973.\nAnswer: 7, 19, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*-1*sqrt(5) + 2))**2 - (-1 + sqrt(320)*1)*5.\nAnswer: 280*sqrt(5) + 2069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + 16\/7. Suppose -6*w - 12 = -v*w. Let u(t) be the first derivative of t**2\/2 - 3*t - 4. Give u(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from zvrz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5040)\/1620*(-24)\/28. Factor m*z**2 + 7\/6*z**3 + 0 + 2\/3*z.\nAnswer: z*(z + 2)*(7*z + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -159, -339, -537, -753, -987, -1239?\n\"Answer: -9*s**2 - 153*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 21264605.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 46*d - 45*d = 20, 3*o = -4*d + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feeqmmjjxmef. Give prob of sequence me.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*y*z**2 - 62*y*z - 8*y - 19*z**3 + z + 1 wrt z.\nAnswer: -134*y - 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 4 - (10 + -122). Suppose -v - d = -5*q, -4*q + 4*v + 104 = q. Let b be (-164)\/(-52) + -2 + q\/13. Solve 5*r = -2*h - 2*h - 5, -5*h = -b*r - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -560, -835, -1110, -1385?\nAnswer: -1660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*u + 328019, -24*u + 262413 = -20*u + 3*a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 2. Let x be 3\/(-3) + 1 - 2. Let q be h(x). Solve q*p = w + 4, 0*w - p = 5*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 23 = -0. What is the nearest to z in 4, -5, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 + -3. Let z be (-10)\/55 + 40\/(-22). Sort y, 4, z in increasing order.\nAnswer: z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 4}. Give prob of sequence ttt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from akbggaagaaaakba. What is prob of picking 2 k, 1 g, and 1 a?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -735*l - 21965 + 3590 = 0 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 15133.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102 + 15\/2*t**3 + 315\/2*t + 63*t**2.\nAnswer: 3*(t + 1)*(t + 4)*(5*t + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 716 + -460. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*d - 1332*d + 667*d.\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242*z - 29 - 240*z - 4 to t + s*z and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -14460.1?\nAnswer: -173521.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*b + 797 - 797 + b**2)*(4*b**2 + b**2 - 2*b**2).\nAnswer: 3*b**4 + 138*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -120. Let l(v) = 44*v - 89*v + b*v - 18. Let s be l(-6). Solve s = 4*t - 16 - 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -238*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 7:48 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 15. Let a be (3\/(-24))\/((-2)\/l). Let f be -3 - (37\/(-13) - 0). Sort a, f, 3 in ascending order.\nAnswer: f, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/48053 and 10.\nAnswer: 48053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*b**2*q - 820*b*q**2 + 56*q**2 - 3*q - 269 with respect to b.\nAnswer: 50*b*q - 820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = 3*t - 2, 3*f = -3*t + 6. Suppose -2*g + 3 = -g - t*j, 5*g + 3*j = -8. What is the smallest value in 0.3, -7\/2, g?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62.44 + -1.44. Let u = 3.7856 - 64.7781. Let c = r + u. What is c rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/30 - 2*a**2. Let j(h) be the second derivative of -1\/12*h**4 - 13*h + 0*h**2 + 0 + 0*h**3. Determine o(j(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4450*y - 4454*y - 44 = 4*d, 2*d + 13 = 3*y - 4 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -103, -172, -293, -466?\nAnswer: -691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 3. Let p(j) = -2*j + 7. Let k(r) = 13*h(r) - 6*p(r). Calculate k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 243, 935, 2087, 3699?\n\"Answer: 230*p**2 + 2*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q + 21 = -22*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60501, -121055, -181661, -242319?\nAnswer: -303029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*r - 14, 0 = -a + 4*a + r - 14. Suppose a*c - 2*f = 402, -4*c + 278 = 2*f - 120. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(91)\/(sqrt(7)*-3 + sqrt(7))) + sqrt(78)\/sqrt(6) + -5 + (4*(sqrt(91)\/sqrt(7) - sqrt(13)) - 2*sqrt(130)\/sqrt(10)) + 5.\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 51*p + 154. Let k be d(-53). What is the greatest common divisor of k and 3072?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = 2. Let i(o) = -3*o**3 + 8*o**2 - 9 + 11*o + 2*o**3 - o**2. Is i(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + (-90)\/(-27). Solve w*t + 4 - 12 = -2*u, -1 = -u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z**5 + 181566*z**4 - 549109944*z**3 - 1978713552*z**2 - 1319723568*z + 879621984 = 0. What is z?\nAnswer: -2, 2\/5, 6054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10100, -11820, -13540, -15260, -16980?\nAnswer: -18700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**45*r*r)\/(r*r**(-7)))\/((r**(1\/4)*r)\/r**(-15\/8)))**(-9\/7) assuming r is positive.\nAnswer: r**(-513\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446717 is divided by 91?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-10)\/(-62))\/(910\/364)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 (base 11) in base 7?\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/23859 and 58\/21?\nAnswer: 167013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 25. Suppose 61*z - 60*z = 40. Suppose -2*t + 2*q = -3*q - z, 4*q = 0. List the prime factors of h(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -11\/2*n**4 - 1\/8*n**6 - 4*n**3 + 11*n**2 + 0*n + 5\/14*n**7 + 0 - 33\/10*n**5. Factor t(x).\nAnswer: 3*(x - 2)*(x + 1)*(5*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1898 and 19211868.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11552.6 and -8.\nAnswer: 92420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k. Let a(b) = -b**2 + 6*b + 3. Let x be a(7). Let o be (-2)\/(x + (4 - 2)). What is d(o)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4340 + 4435. What is the nearest to -1 in 1\/7, s, 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14910588 and 2711016.\nAnswer: 29821176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 5*q + 480. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 1187339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0 + 6 - 2 + 2*z + 7. Let t be g(-3). What is the closest to 1\/3 in -5, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.732 + 19.732. What is the closest to 1\/3 in z, 2\/15, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9) - 28\/(-6). Suppose 3*r + 21 = -3*k, -d*k - 13 = -r - 0. Is r\/9 - 260\/(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Suppose t + 5*j + 10 = v*t, -5*t + 22 = -3*j. Suppose -4*w - 10 = -3*z - 2*z, 0 = -t*z - 2*w + 40. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123466 + 2?\nAnswer: -123464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 21 (b) -71\/5 (c) -2 (d) 31 (e) 1\/6 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -12\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, y: 11}. Give prob of sequence gygy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 0.2, -5\/12, 8133, -0.4, -4, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1645*g. Let q(a) = 329*a. Calculate n(q(d)).\nAnswer: 541205*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 - 4*o**2 + 21*o. Let z(x) = -x**3 - x**2 + 5*x. Suppose 912 = -2*i - 28*i - 122*i. Give i*f(l) + 26*z(l).\nAnswer: -2*l**3 - 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/15 + 224*w**3\/15 - 788*w**2\/5 - 34272*w\/5 - 185814\/5 = 0.\nAnswer: -9, 37, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 235172 (base 8) to base 2\nAnswer: 10011101001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*n + 16*n + 4*n.\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-5)\/2)*-6. Suppose 0 = s*l - 2*l - 1. Suppose 2*r - 6 = 4*w, -7*w = -4*r - 9*w + 22. Which is bigger: l or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 p, and 1 c when four letters picked without replacement from pjcnnnnjz?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 2223*s**5\/20 + 1134*s**2 - 10*s. What is the derivative of f(d) wrt d?\nAnswer: 6669*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 34*q - 428 = 0. Let a = 187 - q. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, m: 3}. What is prob of sequence mi?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 0*k**3 - 4*k**3)*(-1653 + 3212 - 1626).\nAnswer: 536*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:50 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 34955?\nAnswer: 244685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25581292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684414.\nAnswer: 2, 3, 47, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = u - 5*u. Suppose 5*c + 14 = 5*x - 1, -5*x + u = -c. Does x = 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 31, -15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a decade in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 288095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 943446 divided by -49.\nAnswer: -19254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-40)\/(-3)) - 28\/(-168). What is the closest to 2\/3 in t, 32, 4, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4999*v**2 - 3984?\nAnswer: -9998*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -135\/4. What is the fourth biggest value in l, 19, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3*r - 7)*(-2 + 3 - 2)*(2*r + 0 + 0) + (-2 + 0 + 4)*(0*r**2 + 0*r**2 + 2*r**2) - 2 + 2*r**2 + 2 - r**2 - 3*r**2 + 5*r**2 + 2*r - 2*r - r**2.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11150 divided by -6?\nAnswer: -5575\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-6*u**3 - 41*u**3 + 8*u**3)*(-21*u + 11*u + 12*u - 51).\nAnswer: -156*u**4 + 3978*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 83*u**2 + 2737*u - 64. Let s be q(-33). Let l = 0 + 20. Solve 3*a - l = -s*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475 divided by -6\nAnswer: 475\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15326 divided by 7663?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14*((-35)\/(-6))\/(136 + 19)?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 141352346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**10*((g**24*g)\/g)\/g*(g*g*g**(-1\/15)*g)**(-3\/11) assuming g is positive.\nAnswer: g**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-8)*40\/(-180)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69449*j**2 - 28875*j**2 + 77366*j**2 + 26889*j**2 - 9870*j**2.\nAnswer: 134959*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -2. Let n = 3 - c. What is the fourth smallest value in 1\/7, -1, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 9*v + 22*v. Solve 1 + 11 = -5*g - v*q, -g + q - 1 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/59085 and -27\/997880.\nAnswer: 8980920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1 + 5 - b + 6 - 3. Let d be t(8). Let j(u) = 12*u + 1. Calculate j(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130955 (base 10) in base 12?\nAnswer: -6394b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 100.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80.715 and 2.2.\nAnswer: -177.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:58 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -4*g. Suppose -128*n - 1 = -1. What is v in -1\/4*v**g - 1\/2*v + n + 3\/4*v**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 36 + 14)*(-57*o - 9 + 118*o - 59*o).\nAnswer: -58*o + 261","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*j - 4, 4 = 2083*j - 2084*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*q + 59, -q + 3 = 2*x + 4*q. What is the nearest to x in 3, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 25 - 315 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*n + 51, 0 = -2*n + 49*c - 59*c - 96 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:01 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.891 + 23.291. What is the nearest to 0 in 2\/79, 8, h, 1?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i + 3*i - 7*i - 17*i + i.\nAnswer: -29*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81634*p*x**3 + 46*p*x**2 - 2631*p*x - 6*x**2 wrt x.\nAnswer: -489804*p","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 2112.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.20463 - 19.76837. Let h = c - -20. Round h to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365957421*d**4 + 6307*d**2 - 15*d + 74 wrt d.\nAnswer: 8782978104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 577, 1, -4, 5 in decreasing order.\nAnswer: 577, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14437531*l**2*m**2 - 5*l**2*m - 2*l*m**2 - 608*l*m - 2*l - 2*m**2 + 2*m + 4804 wrt l.\nAnswer: -28875062*m**2 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 26 (b) 0.1 (c) -3.7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90682 + -45332. Suppose -a = 2*w - 12*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 7*n**2 + 7*n + 8. Let d be j(-6). Suppose 4*u - 5*k = 131, 2*u - 7*k + 2*k = 63. Let i be 3\/(-12) - u\/(-8). Put d, i, 1 in descending order.\nAnswer: i, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = t - 11, -2*t - 3*t = 0. What is the lowest common multiple of -3 - ((-2 - -3)*-4 - 3) and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (132\/63 - 3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/346379?\nAnswer: -3\/346379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**2*f**(-5)\/f*(f\/f**0)**(-3\/8))**(-48))**(-1\/16) assuming f is positive.\nAnswer: f**(-57\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.32, -0.2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 45 = 40, -c + 14*p = -235 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**3 + 230*s**2 + 225*s = 0.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5749, -5766, -5783, -5800?\nAnswer: -5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11166566 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 59 - 57 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -22 + 46 - 25*y - 19 + 0*y. Let k be m(2). Let b = 47 + k. Solve c + b - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (2*sqrt(2))**2 + -1 - 1*(-1*sqrt(2) - sqrt(2)).\nAnswer: 3*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4334651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -13*z + 24. Suppose 0 = 2*k - 6*k - t - 9, -k + 9 = -z*t. Let y be (2\/(-2) - k) + -55. What is y rounded to 0 dps?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3516 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 = 7. Suppose -2*g = -m*b + 6, -5*b - 3*g = -2*b - 12. What is the remainder when b is divided by (-10)\/(-6) + (-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j**3 + 1939*j**2 - 16*j + 8. Let v(k) = -2*k**3 + 647*k**2 - 6*k + 3. Determine -8*v(z) + 3*w(z).\nAnswer: z**3 + 641*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 188*d. Let o(i) = -28*i**2 + 2*i - 21. Calculate h(o(x)).\nAnswer: -5264*x**2 + 376*x - 3948","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571058 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: Expand (-2*g**2 - 4*g**2 - 2*g**2)*(-4*g + 4*g - 2*g)*(-g + 3*g**2 + g).\nAnswer: 48*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 820577*u.\nAnswer: -820577*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 take away -0.6?\nAnswer: -410.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 321244 and 5215?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 1, t: 7, g: 2, x: 2}. Give prob of sequence gq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/20 - (6474\/(-26780))\/(48\/16)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1847 - -1842. Which is the third smallest value? (a) 449\/3 (b) 1\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 2\/((-4)\/(-42)). Solve k = -b - 3*h, b - 4*h + 8 - 25 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 + 3 = 0. Let i(z) = 3*z**2 - z + 1. Let q be i(k). Suppose 2*m - 48 = 3*h - 0*h, -3*m + 75 = -q*h. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 2. Let k = 7 + -3. Suppose 3*x = -5*p + 5*x + 8, -3*p - k*x = 16. Solve -2*d - f*g = 2*g + 8, -d + 2*g + 12 = p for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2722421\/104 + (-2)\/16. Suppose -2*i - 3*d = -13106, 9*i - f = 5*i + 3*d. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*r + r = 21, 3*r = 6. Suppose -5*d = -3*u, 2*u + k = 5*u. Suppose 4*f - 55 = -d. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((0\/(-3))\/(-3))\/(-1). Suppose -3*y + y + 10 = 0. Let p = -102 + 113. Solve 3*l - 4 - p = a, 5*g + y*l = 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178093, 178125, 178157, 178189?\nAnswer: 178221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 10078 (b) -3 (c) -2 (d) 4 (e) -0.09 (f) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(-2*sqrt(9) + sqrt(9)) - (sqrt(4) - sqrt(32)\/sqrt(8)*2))\/(((sqrt(32)\/sqrt(2))\/sqrt(2))\/(1*sqrt(16)\/sqrt(4))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 12 (c) -0.6 (d) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819666449.\nAnswer: 3, 202185161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9194 = -197*t + 9521 for t.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 52 - 17. Let o(c) = -21*c + 21. Let b(j) = -14*j + 14. Let s(q) = z*b(q) - 5*o(q). What is the first derivative of s(i) wrt i?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v + 6. Calculate l(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40313 (base 6) to base 2\nAnswer: 1010010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 - 212381308 + 212381308 - 13*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 226233\nAnswer: -26\/226233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 + -0.42\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38.9 + -37. Let q = h - 1.1. Let m = q + -0.4. Which is the second smallest value? (a) m (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15276 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -59*t**2 - 70*t - 1. Let k be d(-1). Solve -4*i + 9*i + k = 4*r, 0 = -5*r + 5*i + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k - 14. Sort -4, k, 0, 3.\nAnswer: -4, k, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7378736669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332 is divided by 114.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4699\/7657 - -14\/403. Put -0.3, c, -2\/5 in descending order.\nAnswer: -0.3, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 7*q**2 + q + 10. Give h(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(128) + 3)**2 - (-1*3*sqrt(128) + -1)**2.\nAnswer: -288*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -87. Suppose -2*q + 6 = -0, 2*a + 3*q - 17 = 0. List the prime factors of v*(14\/a)\/(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -494707?\nAnswer: -3\/494707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**19)\/j**(10\/3) assuming j is positive.\nAnswer: j**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 976 + -1674. Let r = 1355 - m. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -2 - o**4 + 0 - 3*o**2 - o - 3 + 2*o**2. Give h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 2022?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e5 - 4?\nAnswer: 4e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 12 + (0 - 3). Suppose -o*f + 128 = 2*u, -4*f - f - 3*u = -320. Let k = 4 - -4. Calculate the greatest common divisor of k and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + v - v)*(-3*v**3 - 3*v**3 + 2*v**3) + 2*v**2 - 4*v**2 + v**4 + 12*v**2.\nAnswer: -7*v**4 + 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/8)*n**(-2\/5)*(n\/n**(-2))**(-3\/44) assuming n is positive.\nAnswer: n**(-431\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -31. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -1 - 2. Put 0, 5, a, -2 in descending order.\nAnswer: 5, a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/7)\/g**(-2\/3))**(-4\/11) assuming g is positive.\nAnswer: g**(-8\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570 and 2506499.\nAnswer: 75194970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 1:40 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 + (3 - -13 - (14 - 6)) - -21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 18*l + 5. Calculate g(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*h = -60 - 34, 4*j - 3*h = -97. Let c(q) = -q**2 - 21*q - 5. Let g be c(j). Let v = g + 60. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**30)**(-15) assuming t is positive.\nAnswer: t**(-1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -1. Let z(x) = -9*x - 3. Let i(n) = 13*n + 5. Let t(c) = -5*i(c) - 8*z(c). Let d be t(g). What is d rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0*y**2 + 0*y**2 + (8*y + 14*y + 8*y)*(3*y**2 - 2*y + 2*y))*(-y + 0*y - 4 + 3).\nAnswer: -88*y**4 - 88*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234 + -237 + (21 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-15)\/(-1)))\/((-12)\/(-20)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + 2 + sqrt(162)*2 + -4) + -2 + 2)**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + -640. Let a = x - -2042. What are the prime factors of a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-10)*(-40)\/56.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*u - 24 = -513*u - w, 7 = -2*u + 3*w. Is -18\/29 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18000751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1043979 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10579594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 243809.01 months?\nAnswer: 203.174175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/25*-10)\/6. What is the closest to 1 in -2\/3, 243, 2\/23, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1110 and 2955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -261?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4872636 and 2707020.\nAnswer: 24363180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, -1 in ascending order.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - v = -10, 70*v - 75*v + 5 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*w + 0*w = -4, -2*h - 4*w = 24. Let i be h + 2 - (-8 - 1). Suppose 3*q = 20 + i. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4 - (-7)\/2. Suppose 0 = 2*h + k - b*k, 5*k = 10. Suppose h*l + c + 2*c - 18 = 0, -3*l + 26 = c. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.7193l in millilitres?\nAnswer: 13719.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 55*m + 10. Let l be c(-1). Is -50 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 2052*g - 432 - 538*g + 432.\nAnswer: -7*g**3 + 1514*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -175?\nAnswer: 6\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/5, 3, -102\/23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201*z - 2204*z + 59 = -2*g, -4*z - 159 = 5*g for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/(sqrt(6) + sqrt(216)))\/(sqrt(63)\/sqrt(567)*-2).\nAnswer: -9*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 8 = -4*z. Suppose z*k + 288 = 23*k. Suppose -2*w - w = -k. What is the remainder when 93 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607e8 (base 15) in base 4?\nAnswer: 1022212013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -258, -199, 166, 837, 1814, 3097, 4686?\n\"Answer: 153*w**2 - 400*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*d + 381 + 101 = 0, 0 = 3*a + 2*d - 731. Let u = a + -146. Let q = -51 + 85. Calculate the remainder when u is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**3 - l**2 - l - 1. Let b be c(-1). Let n be 0 + 3*(-4)\/b. Sort n, 2, 3 in decreasing order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -305 + 301. Let l(h) = -13*h - 47. Let x be l(u). Solve -4*n = -4*c, n = -0*n - x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -133*f + 12*f - 361 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.19 and 181.858.\nAnswer: 182.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/24 - d**5\/2 - 55*d**4\/24 - 5*d**3 + 19*d**2 - 2*d. What is a in x(a) = 0?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.1, 1\/3, -20, -1\/3, -0.006, 0.047?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from kzukkuzuuukuukk?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.002? (a) -2 (b) -4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 16*d + 15. Give w(-24).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 - -8.1. Which is the third biggest value? (a) 4 (b) -5 (c) -0.2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 93. Which is the nearest to p? (a) 3 (b) 0.5 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3120 - 3080) + (-58 - 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15953596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 3615 and -735 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517934967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6487969 or 6487941?\nAnswer: 6487969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + -1c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2984176 to the nearest integer?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539889*y**3 - y + 323354 wrt y?\nAnswer: 3239334*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - ((1 - 0) + -1). Let h = 3 - r. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-726)\/7128*18.\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -314 by 5.\nAnswer: -314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*j - 1196 + 773 = 4155. Let f(s) be the first derivative of -32\/3*s**3 + j + 6*s + 0*s**2. What is the first derivative of f(b) wrt b?\nAnswer: -64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y + 1. Let l(d) = -d - 8. Let o be l(-9). Let b(z) = z**2 - 2*z - 2. Calculate o*b(s) + 2*n(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 650891 to the power of 1\/2, to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1. Let c = -2 + 1.8. Let q = c + 0.2. What is the smallest value in -2, h, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/5)*t)**(-4\/15)\/(t\/((t*t\/t**(1\/5))\/t))**37 assuming t is positive.\nAnswer: t**(-201\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/2 - 6846657*y - 46876712075649\/2 = 0.\nAnswer: -6846657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3100 and 1054?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 - -142. Let t(j) = 69*j - 301. What is the units digit of t(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 11*y**2 + 3*y - 1. Calculate the remainder when 80 is divided by h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 843202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5519*n**2 - 40*n + 2077. Let g(s) = 33113*s**2 + 230*s - 12462. Let z(h) = 23*b(h) + 4*g(h). Differentiate z(a) with respect to a.\nAnswer: 11030*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**6*k**3 + 191*g**3 + 1523*g**2*k**3 + g**2*k - 2*g*k**3 wrt g.\nAnswer: -1560*g**3*k**3 + 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:57 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3740 and 1706980.\nAnswer: 29018660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 730.6 plus 0?\nAnswer: 730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0339 + 117402.\nAnswer: 117401.9661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.1226429 rounded to three decimal places?\nAnswer: 94.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 33. Let v be z(8). What is the hundreds digit of -2 - -114 - (3 - (v + 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*i - 4 - 21, -3*i + 3*b = -42. Solve 5*q + 29 = 4*x, -36 = 4*q - 5*x - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of 127*i**6\/30 + 63*i**2\/2 + 9*i. What is the derivative of k(m) wrt m?\nAnswer: 508*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a micrometer in nanometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-nine fifths of a decade?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h + 19. Let c = -8 - h. Let z(g) = -8*g - 27. Calculate the remainder when z(-6) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 25637275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + r - 11*r + 4*r. Determine h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = i + 3*j, -11*i - 4*j - 80 = -173 + 86 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -416 - -1218. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**4 - 26*r**3 + 52*r**2 - 96*r - 44. Let q(k) = -2*k**3 + k**2 - 5*k - 2. Let f(u) = d(u) - 22*q(u). Find m, given that f(m) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 3676024?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -20205 and -20206 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4366 is divided by 141?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*h = 14, -2 = 5*f - h - h. What is the biggest value in 2\/9, f, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -6*v + 2976. Suppose 0 = 14*k - v - 188. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 1. Let b(u) = 11*u - 3. Let f(o) = -3*b(o) - 8*h(o). Let i(g) = -3*g**2 - 6*g + 6. Let k(q) = -6*f(q) + i(q). Let r(c) = c. Give k(r(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9888)\/(-4532)*(-1144)\/26?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 divided by -86?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 168*l**2 + 1562*l - 6203. Calculate w(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 7*h - 6. Let t be (-1 - 2) + (-54)\/3. Calculate the lowest common multiple of (-3)\/(((-2)\/(-8))\/(7\/t)) and c(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7571 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -5, -4, 119, 5, 70 in ascending order.\nAnswer: -172, -5, -4, 5, 70, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122 + -123.02. Let l = x - -0.02. Which is the second biggest value? (a) 22 (b) l (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -106 - 34. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - k + 18776 - 4706, k = -3*h + 8440. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -84 - 373666?\nAnswer: -373761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + v + v)*(0*v**3 + 5*v**3 - 3*v**3) - 6*v**4 - 11*v**4 + 5*v**4 to s*v**4 + q*v**2 + m*v + j*v**3 + o and give s.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 655*f.\nAnswer: -655*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474540.444253 minus -4?\nAnswer: 2474544.444253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -14383.4 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9156774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*i - 39 + 544, 0 = -4*u - i + 404. What are the prime factors of u?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5641996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + (-72)\/42. Let s(x) = -x**2 - 13*x + 10. Let a = 55 + -69. Let p be s(a). Sort -1, f, p in ascending order.\nAnswer: p, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 4, -4, -29 in ascending order.\nAnswer: -29, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1 (b) 6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 825 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/7 + 29*b**4 - 3788*b**3\/7 + 12036*b**2\/7 - 1792*b + 4096\/7 = 0. Calculate b.\nAnswer: 2\/3, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113678 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1691 + 1176. Let t = 4127\/8 + x. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-539)\/385*(-1)\/(-7)*10\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 3, -1, -0.122605?\nAnswer: -0.122605","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -121, -295, -539, -853, -1237?\n\"Answer: -35*z**2 + z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvg when three letters picked without replacement from {a: 1, j: 1, v: 4, g: 4, r: 3}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619 + 619 + 4*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**6\/40 - 13*g**2\/2 + 3. Let a(l) be the second derivative of x(l). Find s such that a(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1594.61 + 1607. What is l rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 10*s = 120330. Let b = -3788 - s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 162*k**2 + 3945*k + 4104 = 0.\nAnswer: -72, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 630 - 630 - 333*i**3 - 23*i**3 - 7*i + 7*i + (-3 + 2*i + 3)*(0*i**2 - i**2 + 0*i**2) - i**3 - i**3 + 3*i**3.\nAnswer: -357*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -22*d + 218. Let h be i(10). Put 20, -3, h in decreasing order.\nAnswer: 20, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 13*b + 28. Determine r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13231022101 (base 4) to base 14.\nAnswer: -3a8209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-2)\/(-12))\/(3\/(-384)). Solve -63*i + 1 = -m*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2550 + 2242. Which is smaller: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84\/18 + (-4)\/6. Suppose -o*b - 4*d = -36, 0*d - 5*d = -5*b + 35. Calculate the smallest common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/123 + 13\/41. Let y be (3 + -1)\/(22*3\/6). Put -2\/5, 5\/3, y, a in ascending order.\nAnswer: -2\/5, y, a, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -11. Suppose 2*i + 7 - n = 0. Let q(o) = 28*o + 3. Let p be q(5). What is the highest common divisor of p and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 28.1734\nAnswer: -873.3754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059985856 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10488 + 10488. Which is the nearest to -2\/5? (a) -1 (b) -4 (c) m (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15801563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 3*a + 4. Let i be x(-3). Suppose 0*s = i*s - 88. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 1, u: 6, l: 3}. What is prob of sequence ylc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 595*t**3 + 0*t - t - 594*t**3. Calculate s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/29))\/w*((w*w**(-17\/3))\/w)\/w*w*(w**(1\/2)*w*w)**(-10) assuming w is positive.\nAnswer: w**(-2671\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3 - 11. Let h(u) be the third derivative of u**4\/24 - u**2. Calculate h(r(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4*46*((-32409)\/468)\/(-277)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/516 and -119\/13038.\nAnswer: 1121268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(3*(-2)\/(-710))\/(12801\/(-42670)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oahoaavvaovohahoavo. Give prob of picking 1 a and 1 o.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q*q**(-3\/5))*q)\/q**(-4)*q**(3\/2)\/(q*q*q**(-4)\/q) assuming q is positive.\nAnswer: q**(121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78 - 53. Suppose -c = -4*l - 3*z, -4*l + 6*z = 4*z - 30. Suppose -o + 2*t - 8 = -4*o, 2*o + t = l. Solve 10 + 11 = 4*v + g, 2*g = v + o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/152? (a) -0.1 (b) 0.1 (c) 5\/6 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -37*n - 12. Let j(x) = x**3 + 5*x**2 + 4*x + 16. Suppose 2*o + o = -2*d - 7, 2*o = -5*d - 23. Let q be j(d). What are the prime factors of v(q)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/7 - 60*b\/7.\nAnswer: -3*b*(b + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -3 - (-2)\/1) + 2. Put k, -2, -30 in decreasing order.\nAnswer: k, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/19)\/((b**(6\/5)*b)\/b))\/(b*b**(3\/5)*b*b**3) assuming b is positive.\nAnswer: b**(-641\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -4, 253.\nAnswer: -4, 2, 5, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -163360 divided by 10\nAnswer: -16336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -174*d**3 - d**2 - 3*d - 3. What are the prime factors of i(-1)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (3 - (-1 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8712.263*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-21)\/6)*-6. Let i be (-33)\/j + (-4)\/(-6). Is (i - -1)*(-28)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:28 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.154003 * -0.2\nAnswer: 0.0308006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (5 - (-3 + 14))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*q - 30, -2*h + 5*q + 35 = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 286*o**3 + o**2 + 3*o - 15. Is p(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*f**5\/11 - 40*f**4\/11 + 4*f**3 + 58*f**2\/11 - 51*f\/11 - 18\/11 = 0. What is f?\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.235, -1021, -47, 0.5, -5 in descending order.\nAnswer: 0.5, 0.235, -5, -47, -1021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -1) + -15 - (44 + -40)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931*o = -5*b - 928*o - 34, 0 = -3*b + 5*o - 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -35220200 to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -17*d**3 - 3*d**2 + 3. Let n(b) = -290*b**3 - 50*b**2 + 50. What is -50*a(y) + 3*n(y)?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-8) - -11)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*v - 44 - 71, 0 = 5*w - 5*v + 155. Let n be 10\/4*147*(-16)\/w. Calculate the greatest common divisor of 112 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 199380136*a + 2484527414461156.\nAnswer: 4*(a - 24922517)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - j + 2)*((-2*j**2 - j**2 + j**2)*(-6*j - 13 + 13) - j**3 - 6*j**3 + 4*j**3).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7722829 to the power of 1\/2, to the nearest integer?\nAnswer: 2779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 + -142. Suppose -5*b + d*a = -14110, 1660 + 1182 = b + 3*a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f, -t + 6*t - 9888 = -3*f. Suppose 2*v = 5*v - t. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.19566 decades to months.\nAnswer: 8663.4792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 6*s - 7. Let g(a) = -10 - 2 + 6 - 6*a. Let y(m) = -4*g(m) + 3*n(m). Factor y(q).\nAnswer: 3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 0.1 (c) -2 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**5\/7 + 32870*z**4\/7 + 591158*z**3\/7 + 2397098*z**2\/7 + 3546176*z\/7 + 1707368\/7 = 0.\nAnswer: -16417, -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.06, -2\/17, -0.5, -3\/13, 34\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46173.6537 rounded to the nearest ten?\nAnswer: 46170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 12*q - 1276. Let m = q - 80. What is the tens digit of 3570\/m + (-3)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 - 3*w**2 + 3*w + 1. Let s(i) = i**3 + 1. Let u(f) = -q(f) - 2*s(f). Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) -7982\/7 (b) 1 (c) 0.5 (d) 6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 + 34*u - 9. Let s(t) = 3*t. What is g(s(p))?\nAnswer: 18*p**2 + 102*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:59 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -2, -1781 in increasing order.\nAnswer: -1781, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(432)*-3 + sqrt(432)*2 + 1)**2 - (4 + 2*sqrt(432) + (1 + sqrt(432) - sqrt(432))*5)**2.\nAnswer: -240*sqrt(3) + 25840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 265*o**2 + 9177*o - 1587. What is t(-224)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24697949 is divided by 949921.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 10*r - 6*r + 3 - 3.\nAnswer: -2*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 19. Let h be -3 + 4*k\/(-16)*443. Suppose 2*x = -6*x + h. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -106 - 4\/4. Suppose u + 8*q + 62 = 3*q, 4*q = 3*u + 205. Let s = f + u. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t + 1, -3*q - 5*t + 4 = 0. Suppose -2*y = -5 + q. Let c(u) = 294*u**3 - u**2 - u + 1. Is c(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -353151021?\nAnswer: -353151024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 56817 + 80420 + 35419. What are the prime factors of v?\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-56) + -4)*-180 - 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -52*z**2 + 1798*z - 1027. Give a(34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432647 or -432649?\nAnswer: -432649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n. Suppose -3*b - 2*g + 0 - 16 = n, 2*b + 4*g + 8 = 0. Let y = b - -5. Put y, 0.1, 0.5 in decreasing order.\nAnswer: 0.5, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/((-12 - 9)\/(-35910)) and 3420.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-20))\/(-10 + 1843\/190) + (-518)\/7?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*m + 518 = 587 - 1104. Let u(x) be the third derivative of 0*x**4 + 0*x - 1\/660*x**6 + 0*x**5 + 0*x**3 + m*x**2 + 0 - 1\/1155*x**7. Factor u(a).\nAnswer: -2*a**3*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-6 + -2) - -4) + 13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3 + b**3 - 343017*b**6 + 345230*b**6 - 1426*b**2 - 2*b**3 wrt b.\nAnswer: 265560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-3))\/((-28)\/(-61824))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4354 + 518?\nAnswer: 486c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*v - 31, 0*z - 29 = -z + 3*v. Suppose -5*f - 738 = -z*f. What is the remainder when f is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -1\/20 (c) 2254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*h**4 + 125*h**3 - 30*h**2 - 80*h.\nAnswer: -5*h*(h - 8)*(h - 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 2. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - (-250)\/70)*-7. Solve 137 = -j*c + 41 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57546 is divided by 55217.\nAnswer: 2329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 23. Suppose -63 = -5*k + s, 8*s + 55 = 5*k + 3*s. Let o be q(k). Solve 2*h - 3*r = 13, -r - o*r = 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in years?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*r - 1894 = -6379 - 16809 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4. Let z be a(-6). Sort -2, z, -5.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 8. Suppose -36 = 4*m + 2*m. Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) 0.15707 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f - 18. Let y be k(-8). Let v = 125 + y. Let b(a) = 2*a + 4*a**2 + 28 - 32*a**v + 31*a**3 - 32. What is b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:10 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3050 + 214?\nAnswer: -2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2068919.12 - 0.09.\nAnswer: 2068919.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123151 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30886?\nAnswer: 2, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/3 + 18*z**3 + 592*z**2\/3 - 450*z + 703\/3 = 0. Calculate z.\nAnswer: -37, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - 4*t - t + (-1 + 0 + 3)*(-t - 2*t + 5*t) - 1 + t + 1 + 1 - 2 - 18*t - 299*t.\nAnswer: -316*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 1721 = 10469. Calculate the highest common factor of 36 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:05 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 20*f**2 - 2*f - 21. Does 42 divide n(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303249, -1213068, -2729445, -4852386, -7581897, -10917984, -14860653, -19409910?\nAnswer: -24565761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 699999 = 5*m, 3*v + 420003 = 3*m - 0*v. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(11) - (sqrt(11) + -2)))**2 + 4 + sqrt(55)\/sqrt(5).\nAnswer: sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*b**5 - 133*b**3 + 54*b**2 + 7151387*b.\nAnswer: -620*b**3 - 798*b + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 372228\/(-9)*((-273)\/(-26) + -12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 10, -3, -258 in decreasing order.\nAnswer: 11, 10, -3, -4, -258","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 + 8 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 12:47 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8288467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 11. Let u be o(7). Suppose 0*m = -2*m - u. Let v be (0 + 1)*m\/(-1). Solve -16 = -t + 4*d, v*t + 2*d + 8 = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 287760.6um?\nAnswer: 0.0002877606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 134 + 21 + 14.\nAnswer: -q + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 0, -40, -5, -0.1, 0.21 in descending order.\nAnswer: 0.21, 0, -0.1, -5, -40, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25551)\/835*(-75)\/255?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*c - 11*c - 33. Solve 33 - 21 = c*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*75\/175?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**18)\/d*d**6\/d assuming d is positive.\nAnswer: d**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*c + 27, -5*d + 3*c = 52 + 39. Let s = d + 39. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:34 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - 4*i**2 - 6*i + 8. Let t(p) = p**3 - 3*p**2 - 4*p + 5. Let f(a) = -8*t(a) + 5*z(a). Solve f(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*q + 643*q = 3150 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -43. What is the remainder when x - (-2)\/2*2 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785 - 4432 - 1931 + 50*i**2 - 2*i**3.\nAnswer: -2*i**3 + 50*i**2 - 5578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43 - 131?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 423282 divided by 7426?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:51 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -139*a**4 - 3 - 189*a**4 - 103*a**2 + 2 + 41*a**4 wrt a?\nAnswer: -6888*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*v + w - 9, 0 = 4*v + 3*w - 39. Suppose 5*p - 20 = 0, 31 = -3*q + p + 570. Suppose k + 136 = q. What is the remainder when k is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -2 - -3 - -5) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-35)\/(-20)*(-6 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - u = -5, 3*t = -0*u - 2*u - 3. Is 0.066 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.876901 millennia in years?\nAnswer: 5876.901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 32. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1384792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 9. Suppose 14 = 3*j - 2*r, 5*r = 3*j - 0*j - 8. Let k be o(j). Let s = 0 + 4. Solve k*y = 3*b - 9, s*b + 6 - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42333120 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 2*r**2 + 2*r - 2. Let z(p) be the second derivative of 13*p**5\/4 - 15*p**4\/4 + 15*p**3\/2 - 45*p**2\/2 + 24*p. Determine 45*g(x) - 2*z(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 3*n**2 - 4*n - 9. What is w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 76\/5*y**5 + 0*y + 1\/3*y**3 + 30 + 0*y**4 + 67\/2*y**2. Find the second derivative of k(m) wrt m.\nAnswer: 912*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p - 2*p)*((-7 - 4*p + 7)*(0 + 1 + 1) + 0 + 0 - p)*(-1 - 1 + 4).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 331, 323, 313, 301, 287, 271, 253?\n\"Answer: -d**2 - 5*d + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -17826, -142 in ascending order.\nAnswer: -17826, -142, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 88 in 4\/5, -0.3, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 9. Let a = -26 - -8. What is the tens digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Simplify ((m*m*m**(-20)*m)\/m)\/(m*m*m\/(m*m*m\/(m*m**(1\/26)\/m)*m))*(m\/m**(2\/35))\/(m\/(((m\/m**(4\/5))\/m)\/m)) assuming m is positive.\nAnswer: m**(-3439\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 49. Suppose 22 = 4*i - 3*m, 3*i = 2*i - 5*m + 17. Suppose -2*a + i = g. Solve 3*r = -2*b + 4 - 6, -3*b - a*r - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 4*h - 4*h - 153)*(-11*h - 25*h**2 + 33*h**2 + 14*h).\nAnswer: -16*h**3 - 1230*h**2 - 459*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 + 6*u. Let y(v) = -v. What is -s(j) - 6*y(j)?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*d - 12, -5*l + 13 = -3*d + 5. Suppose -6 = -u + j, 2*u + j - l*j = 8. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*w + 251. Is w*12 + 3 + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 94*a**2 - 1032*a - 12. Let s be v(11). Let l(n) = -n**2 + 9*n + 3. What is l(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 1. Let v be -78 + 80 + (0 - (0 - -1)). Let t(w) = -w**2 - 2*w. Calculate v*t(p) + 2*d(p).\nAnswer: -p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/292 - -137\/876. What is the closest to r in -0.9, -2\/3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*f - 2*o - 1215, 3*o + 609 = 2*f. Suppose -3*y + 7*y = f. Suppose -22 = z - y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - 0.44. Let u = -6.7 + 7. Let a be 8\/4 - (2 - (-3)\/(-9)). Sort t, u, a in decreasing order.\nAnswer: a, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - c**2 + 1)*(27 - 17 + 20) - c**2 + c**2 - 2*c**2)*(4 - c - 4 + (9 + 2 + 0)*(0*c - 3*c + c)).\nAnswer: 736*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2596387505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 34.39 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 70.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k**2 + 4*k + 1. Suppose c - 6*c + 20 = 0. Suppose -7 = -c*l + 9. What is d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*h - 3*f + 75, -5*f + 67 = 4*h. Is (-36336)\/(-27) + ((-14)\/h - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -15, -21, -27, -33?\n\"Answer: -6*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w**(2\/35))\/w*w*w*w*w**(2\/7)*w*w**12\/(w*w\/(w\/w**(1\/4))) assuming w is positive.\nAnswer: w**(2253\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*r**2*w - 2296*r**2 - r + 1716*w - 1 with respect to w.\nAnswer: 13*r**2 + 1716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 3:44 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -38, -54, -78?\n\"Answer: -4*n**2 + 4*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169442317 at most 1169442317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970 is divided by 506?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -62.1*-2\nAnswer: 124.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(2*j - 3*j + 3*j) - 2*j + 5*j + 0*j + (-1 + 1 + 5)*(j - 4*j + j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(3\/5)\/i))**(2\/17)\/(i**(-20\/3)\/(i\/((i*i\/(i\/i**(18\/7)))\/i)*i)) assuming i is positive.\nAnswer: i**(11174\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-566*m - 319*m + 112*m)*(2*m**2 + 2*m - 7 + 7)*(-3 + 0 + 5) to the form n*m + d*m**2 + a*m**3 + o and give a.\nAnswer: -3092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 65*a**2 + 92*a - 57. Determine f(1).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -278082282*w**2 + 1476817566*w?\nAnswer: -556164564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t - 15. Determine s(12).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + -0.08. Let x = 0.2 - z. Let g be 0\/(-3) + 5*-1. Sort x, 5, g in ascending order.\nAnswer: g, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (4 - 11))\/2. Which is the smallest value? (a) -2\/7 (b) f (c) -378\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8795 divided by 1759.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/(1\/15). Suppose 0 = c - 2*t - i, t + 2*t = -3. Let a(d) = -d**2 + 2*d + 11. Calculate the lowest common multiple of c and a(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b = -23*b + 54. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3 + 9*k**2 + 27*k - 9. Factor d(x).\nAnswer: 3*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 262379712*t**2 + 56112*t + 3 = 0.\nAnswer: -1\/9352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 15, -0.1293?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**2 + 14*b + 3. Let l(c) = 5*c**2 + 7*c + 2. Let j(i) = -7*l(i) + 3*y(i). Give j(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 476, 960, 1444, 1928, 2412, 2896?\nAnswer: 3380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -7512.56309 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66635701?\nAnswer: 11, 41, 71, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(832)*1*5)**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40386.\nAnswer: 2, 3, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*r + 5*m, -186*r + 185*r - 4 = -m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(17) - sqrt(85)\/(sqrt(5)*-3 + sqrt(5) + sqrt(5)))*-6.\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkuuksskkkkkkskusyk. Give prob of sequence sksk.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/22 and 1\/6 - 2\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*-6)\/((-6)\/4). Let g be (-50)\/15*(-12)\/k. Suppose -r = -n - 1, -4*r - 5*n - 1 + g = 0. Put 2, r, 11 in ascending order.\nAnswer: r, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16*2\/(-8)*-9*33\/36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10271258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 3*q**2 + 9 - 10 + 2*q + 3 + 64*q**3 - 2*q to u*q**3 + t + o*q + b*q**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -45*d + 20*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -0*j + 4*j - 3*g, -g = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121233 + 1112?\nAnswer: 1123011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 - -172. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -21*u**3 - 6*u. Let v(r) = 4*r**3 + r. Suppose -52 = 4*m + 2*b, -3*m + 4*m + 23 = -3*b. What is m*v(z) - 2*s(z)?\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - (-1 - 0)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f**2*r**2 + 155*f**2*w**2 - 6*f*p*r**2 + 4*f*p*r*w + f*r - 2*p*r*w**3 + 55*r**2*w**3 wrt r.\nAnswer: -10*f**2 - 12*f*p + 110*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*sqrt(891)*-4 + 0)*6)**2.\nAnswer: -25920*sqrt(11) + 12830544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860593492 to the nearest integer?\nAnswer: 29336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 90*x**2 - 10*x - 51. What is the units digit of g(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043798 to 5 decimal places.\nAnswer: -0.00438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477382 is divided by 1669.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4087962 to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -10*b**2 - 48*b + 2616. What is i(-20)?\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/(-2310))\/((-1)\/((-8)\/(-10))*36\/(-10))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6 - 4) + 0 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 0*v + 0 - 1\/2*v**3 - 5*v**2 + 1\/24*v**4. Let q be 14\/6 + 2\/3. Give s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + -5 + 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*s**2*t**2 - 169*s**2*t + 39*s**2 + 99*s*t**2 - 1274*s + 2*t**2 + 2*t + 1 wrt s?\nAnswer: -152*t**2 - 338*t + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 2*s**3 + 164*s**4 + 5*s**3 + 3*s**2 - 163*s**4 in the form x*s**2 + z*s + o*s**4 + u*s**3 + i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by 685.\nAnswer: -32\/685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z. Let g(m) = -m**2 - 1420*m. Give g(w(c)).\nAnswer: -c**2 + 1420*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 1. Let b be u(-1). Let y(m) = -4 + 0 + 4 - b*m. Let q(v) = v**2 - 5*v**2 + 2*v**2. Determine q(y(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/29, -0.06, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 149094 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**3 + 183*y**2 - 424*y?\nAnswer: 6*y + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 135*s - 179. What is y(66)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/211 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.03543 rounded to 0 decimal places?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 - 100. Let n be o\/((-1278)\/(-428) + -3). Suppose x - n + 7 = 4*r, x = -4*r + 231. What are the prime factors of x?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 21*o = -16*o + 18, -2*o - 12 = -2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11406\/33*20\/(-14400). Let a = n + -1\/165. Calculate the common denominator of -41\/8 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72573*t*u**3 + 5*u**3 - 12*u**2 - 61*u wrt t?\nAnswer: -72573*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.714 or 145?\nAnswer: -1.714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 74.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = -x - 3*c, 57 = 4*x - c. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 2232, 52 in ascending order.\nAnswer: -6, -3, 52, 2232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -14*w + 40 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**4 - g**3 + 15*g**4 + g + 9*g**2 - 114*g**2 - g**3 - 23*g**4 as q*g + z*g**4 + w*g**2 + c + p*g**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 30 = q. Let f = 4 - q. Calculate the remainder when 4 is divided by f + (11 - 1)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8815\/(-1271) - (-6)\/(-93)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i**2 + 3*i - 2. Let p be u(0). Let g be p\/(10\/25) - -35. Solve g = -3*m + 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1074\/18 + 1\/3 + -1. Let o = k - 61. Let x be (-2)\/(-7) - ((-12)\/7 - o). Sort 4, -22, x, 2 in decreasing order.\nAnswer: 4, 2, x, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 h when three letters picked without replacement from ehehe.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -k - 52, -k = 2*h - 0*h + 48. Let u = -46 - k. Let v(d) be the first derivative of d**2\/2 - d - 2. What is v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/3 - 1966*h**2\/3 - 18424*h + 19080 = 0. What is h?\nAnswer: -954, -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 6*g**2 - 1. Let s be k(-6). Let p be (-232)\/20 - (6\/10)\/s. Which is smaller: -10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, a: 1, g: 4, f: 2, v: 1}. What is prob of sequence ff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 7:38 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 59994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96709 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118 + 182. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(11\/(143\/(-2)))\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 23*y**3 + 5*y**2 - 8*y + 7. Determine i(2).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j - 2. Let i(x) = -7*x - 4*x - 9*x + 19*x. Let o be -3*(4 - 48\/9). Let v be (-2)\/o + 22*4\/16. Determine v*i(f) - u(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1950398503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -80?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.055, 0.059658, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -12, -2*h - h - 4*g = -180. Is (-1097)\/(-7) - (-16)\/h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(99)*-1)*5*-1 + -3*((1 + sqrt(99))*-2 - (-2 + -2*sqrt(99))) + -2)**2.\nAnswer: 690*sqrt(11) + 3004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -676*n**5\/5 - 643*n**3\/3 - 270. Find the third derivative of l(z) wrt z.\nAnswer: -16224*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -19, -12 in descending order.\nAnswer: -4, -12, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179\/1794 - -1\/78. What is the second biggest value in 3, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let p be 0\/(2*j)*1. Suppose p = 5*q - 0*q - 60. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*v + 6, 2*y - 3 = -v + 1. Suppose -2 = -w - g, -g - 2*g - 4 = -y*w. Suppose -1\/3*q**w + 0*q + 1\/3 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43039 and 69287.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u + 2*u. Suppose -3*b = 3, 0*g + 6 = 2*g - u*b. Solve -3*t + g = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 5*l**2 - 2*l - 1. Let f be j(-4). Suppose -f*i + 35 = -16*i. Solve 9 = 3*n, 3*w - i*n + 40 = 8*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5669, 5685, 5701, 5717?\nAnswer: 5733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/39858 and 41\/45552.\nAnswer: 318864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = -5*f, -q - 3 = -0*f - 3*f. Suppose 2*z + 0*o + 19 = -3*o, -q*z = o + 18. Let p be (z\/6)\/((-6)\/(-12)). Is p less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*(0 + 3 - (-76)\/(-28)). Suppose -u - 5 = d*m - 4*m, -20 = -2*m - 4*u. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19479, -17666, -15853, -14040?\n\"Answer: 1813*p - 21292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010110000110 + 100?\nAnswer: 11101010110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:22 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 98. Let x be c(-10). Let s(z) = z**2 + 15*z - 44. What is the hundreds digit of s(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -104036, -208357, -312678, -416999, -521320, -625641?\n\"Answer: -104321*w + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, p: 9}. Give prob of picking 2 w.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 2:53 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 21375 = -152*u - 633*u for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {b: 5, o: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 394\nAnswer: -78.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2\/2 + 1. Let x(k) be the first derivative of 2*k**3\/3 - 4. Determine x(q(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.49177 years in decades?\nAnswer: 8.849177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 956584 is divided by 31886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -592876*i**2*j**2*x + 6*i**2*j*x - 2*i**2 + 1909*j*x - j wrt j?\nAnswer: -1185752*i**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 1. Let c be r(-6). Solve -3*g - 9 = -4*d, -c*d - 5*g = -2*d - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27478654?\nAnswer: 2, 7, 1962761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/1488 - -5765\/1488. Find the common denominator of r and 149\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 12*y**2 + 27*y - 12. Let r be q(-14). Suppose -5*t + 68373 = -3*x, -5*x - 68375 = -3*t - r*t. Is t\/8 + -2 + (-7)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Let w be 307634 - (u - -3 - 0). Let b = 7007632 - w. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h - 38\/7*h**4 - 1\/7*h**5 + 0 - 73\/7*h**3 - 36\/7*h**2.\nAnswer: -h**2*(h + 1)**2*(h + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 28 (c) -2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 8*v + 6. Let j(g) = g**2 - 4*g - 3. Let d(s) = -11*j(s) - 6*y(s). What is d(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 2172378.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -156466*s**3 - 362*s**2 + 210604573*s wrt s.\nAnswer: -938796*s - 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/14 + 85\/105*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 4*z**2 + 5*z - 1. Give v(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 3 = 0. Suppose -6*r + r = 0. Suppose -5*f = 2 - 32. Solve a*t - 9 = r, 15 = -3*z + f*t - t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 18, 23, 28?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 26*l - 6 = 27*l, 0 = -3*p - 4*l - 10. Let h(m) be the first derivative of -2*m**3 - 8 - 63\/32*m**4 - 27\/40*m**5 + 0*m - 3\/4*m**p. Factor h(u).\nAnswer: -3*u*(u + 1)*(3*u + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06 and -0.0421.\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Suppose -2*w = 5*v - 6*v, -a*w = 2*v - 18. Let y be ((-2)\/2 - -2) + v. Sort -3, 4, y in increasing order.\nAnswer: -3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**3 + 1072*r**2 + 284621*r - 573538 = 0 for r.\nAnswer: -577, -497, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3c3469 (base 16) to base 7\nAnswer: -45352066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u = 0. Suppose 18 = -u*g + g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668*b + 4 = 670*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 25*g - y + 8 = 0, -4*g = 3*y + 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0 = -2. Suppose -3*b = -w*a + b + 20, -4*b - 12 = 0. Calculate the smallest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5 - 1206*o**4 + 3654*o**3 + 10854*o**2 - 32724*o = 0. What is o?\nAnswer: -606, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -25\/2*b**2 - 31*b - 14. What is the first derivative of r(m) wrt m?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - 8\/((-104)\/368459).\nAnswer: 5, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l + 4*l - 2*l)*(2*l**2 - l**2 + l**2) + (30 - 22*l - 30)*(-l**2 + 2*l**2 + 9*l**2) to the form g*l**3 + y + k*l + b*l**2 and give g.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 37*b - 34*b - 138, 180 = 4*z + 5*b. Suppose -54*t = -z*t - 19076. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/5, 58, 493, 3.1, 4\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -0.04?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**2 + 2*u**2 + 13*u**2 + 7*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**11)))**(-14) assuming j is positive.\nAnswer: j**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (26\/117*(-9)\/6)\/2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 1.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7021691133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7670 + 19814. Suppose 10*y + d = 22*y. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4530*g - 5*w = -4531*g - 60, 5*g - w = -36 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 55888311, 111776622, 167664933, 223553244, 279441555, 335329866?\n\"Answer: 55888311*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**4 - 10*l**3 - 2*l**2 + 33*l - 18. Let u(h) = h**3 - h**2. Let r(a) = -c(a) + 3*u(a). Factor r(q).\nAnswer: (q - 1)*(q + 3)**2*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1804.91 + -1811.91066. Let g = -7 - k. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/41 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001543 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2\/15, 324, 10.85 in increasing order.\nAnswer: 2\/15, 1\/5, 10.85, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -2 (b) -10\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuujugyyuuguyymjy. What is prob of sequence jug?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -872 - -1366. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210751*j**6 + j**5 + 3066*j**2 - 442*j wrt j.\nAnswer: -25290120*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {s: 1, e: 1, u: 1, f: 1, k: 1, d: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(3\/(-6))*18\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54061770 (base 8) to base 14.\nAnswer: -176cb32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 47. Let q be 2 + 25 + (-4 + n - -4). Is (160\/q - 6) + 1122\/7 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) -1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2) + -1)\/(2 - 16 - -12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(0\/(-3) + -1). Suppose 4 - 39 = -c*i. Find the second derivative of -3 + i*o**2 + 4 + 2*o - 1 wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o**1\/o)\/o)))\/(o\/o**8))**(-22)\/((o*o**6*o)\/o*o*o\/(o**7\/o)*o**(1\/6)\/o*o**7) assuming o is positive.\nAnswer: o**(-847\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*l - 38 = 0, -2*f - 3*l + 29 = -0*l. Let q = -11 - -13. Is 3 a factor of 84\/f*q\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s + 81. Let z be (81\/(-18))\/((-24)\/1296). Calculate the greatest common factor of s and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 6:57 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2222220 - -31?\nAnswer: -2222123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 161\/45 - 25\/9. Which is the nearest to 0.1? (a) -3\/4 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 4 (c) -7\/18094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 230 + 166. Let q be (-6)\/8 + 75\/t. What is the second biggest value in -0.2, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*u**3 + u - 75?\nAnswer: 282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104866 divided by -2?\nAnswer: -52433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 22*z - 130, -3*z - 35 - 4 = -3*m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**4 - p**2 + p. Let x(v) = -55*v**4 + 3*v**2 - 5*v - 1. Let i(c) = -x(c) - 3*z(c). What is the second derivative of i(t) wrt t?\nAnswer: 624*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1030558.5 minutes?\nAnswer: 715.665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 35*p**2 - 287*p + 261. Calculate b(-42).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -188, -281, -374, -467, -560?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/138 and -2 + (-6549)\/1242 - (1 + -8).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65a0 (base 14) in base 3?\nAnswer: 220010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 2*p**2 - 6*p + 4. Calculate x(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**5*t)**41\/(t\/((t\/(t*(t*t**(-1\/4))\/t))\/t))**10)**(4\/13) assuming t is positive.\nAnswer: t**(914\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j**3 + 0*j**4 + 0 - 4*j**2 - 1\/30*j**6 + 0*j - 1\/60*j**5. What is the third derivative of t(n) wrt n?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - g = -3, -5*c + 0 = -3*g + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/3 + o**2\/2 - 26*o + 10. Let h be r(-6). Solve -5*p = -5*j - 14 + 44, 2*j = -h*p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10) + (7 - 7 - (3 + -4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-30)*15)\/(3\/6). Let f(i) = -12*i + 15. Let s be f(k). Let p = s - -63. Calculate the highest common factor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3235 = -4*j + 9267. Let g be (-2)\/(-9) - j\/(-18). Calculate the highest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16006 at least 15981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 68.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1035 = 8*g - 263739, -3*g - 5*h + 98493 = 0. Is g a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z - 5*w, -4*z + 2*w = -6*z + 12. Put 5, -4, z in decreasing order.\nAnswer: z, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 2:43 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48 (b) -0.041 (c) 5 (d) 2 (e) 0.3 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 7*m - 9. Let w be g(6). Let y be (-12)\/2 - 291905\/(-739). Let f = y + w. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 - 4 = -3*a. Let o = 33 + a. Solve 0*r + r + o = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1, 89, -1, 2 in ascending order.\nAnswer: -3, -1, 0, 1, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -60, -130, -228?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12*c. Let p(m) = 283*m - 31. Let t(h) = -4*h - 6. Let f(o) = -p(o) + 5*t(o). Calculate f(v(k)).\nAnswer: -3636*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 7*l - 9. Let j be z(6). Let r(h) = -17*h**3 - h**2 + h - 1. Let y be r(1). Let c = 22 + y. Sort j, -5, c.\nAnswer: -5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 575 divided by 4351\nAnswer: 575\/4351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 - 137*g + 1100. What are the prime factors of f(77)?\nAnswer: 2, 11, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16273 - 10474. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 54*o**2 + 3*o + 13. Let m(s) = s**3 - 2*s**2 - s - 2. Calculate j(l) + 3*m(l).\nAnswer: 2*l**3 + 48*l**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*a + 2*a + 9, g - 5 = 3*a. Let u(r) = 21*r**2 - 1. What is u(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1190 and 3910.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612250 is divided by 618?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r. What is the remainder when h(5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*g, 0 = 6*t + 7*t - 4*g + 360 - 311 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7860 is divided by 232.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-36)*4)\/((-6)\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 + 11*k - 339. Let q be u(17). What is the smallest value in q, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -5*c**2 - 7*c + 1. Let y(q) = 1 + q + 1 - 4*q - 4. Let f be (-38)\/6 + 8\/(-12). Determine f*y(r) + 2*n(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3027.9996253 + -3028. Round u to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/7*-1*-7 + 1657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/20 + (-2)\/(-8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 241 in 2, 3\/11, -1\/220, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 65692217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 62741129.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -624, 3, -1\/10, -0.4, 1 in ascending order.\nAnswer: -624, -0.4, -1\/10, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/22 - (-288)\/(-11). Let a be r\/(-10) + 4\/10. Let n(t) = 3*t - 4. Let i be n(3). Solve u - a*u = h - 7, 3*u = -i*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-10 - (-1 - -1)) + 1). Suppose -11 + o = -2*j. What is the second derivative of 19*u + 5*u**j + 6*u**2 + 11*u**2 wrt u?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7\/(r*r\/(r\/((r\/(r**24*r*r*r*r))\/r*r))*r*r)*(r**(-7\/5)\/r)\/r**(1\/4))**(-1\/38) assuming r is positive.\nAnswer: r**(-567\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -3 (b) -435 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 3*n + 38 = 5*x, -3597*x + 0*n - 2*n = -3609*x + 60 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 16. Let c(w) = 24*w - 96. Let y(a) = 2*c(a) - 12*l(a). Let h(k) = 18*k. Determine 5*h(n) - 3*y(n).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11391, -11348, -11279, -11184?\n\"Answer: 13*q**2 + 4*q - 11408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0, 1, 335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3088178*y**2 + 345*y + 470 wrt y.\nAnswer: 6176356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -1\/4*q**3 - 1\/24*q**4 - 44*q - 3 + 0*q**2. Let f(g) be the first derivative of s(g). Let f(o) = 0. Calculate o.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40.8 - 41. Put 2, x, -4 in ascending order.\nAnswer: -4, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19654.9 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7840 and 1521380?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228151509 and 1887?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -7, -15, -35, -73, -135?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 13\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2)\/(-8 + 7). Let n(y) = 2*y. Let i be n(1). List the prime factors of z*(-1)\/i - -73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 12 + 8. Suppose 81 = -c*x - n + 2*n, 5*n + 120 = -5*x. Suppose l = 19*l - 16*l + 42. Is x at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - n**2. Let l be v(-2). Suppose -l*b - 12 + 52 = 0. Suppose 3*m = b + 59. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -12010?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -73. Let g(b) be the first derivative of 5\/2*b**t + 3 + 1\/4*b**4 - 2*b**3 + 0*b. Determine g(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222509597690 - -49.\nAnswer: 222509597739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3851574 by 6.\nAnswer: -641929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 50 (b) -2\/3 (c) -2\/5 (d) 1\/173 (e) 10.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*l**4*s - 12*l**4 + 3*l**3*s + 3*l**3 - 19*l**2*s + 3353*l*s wrt l?\nAnswer: -528*l*s - 288*l + 18*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77.04 + -77.0399992014. Round q to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/108*(-6)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 13. What is the greatest common factor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 10 + 8 - 2 - 23 as b*s + t and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 18.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -4. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 11867, 0.\nAnswer: 0, 4, 11867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0286 and -94146.\nAnswer: -2692.5756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102 + -97. Suppose 0 = -q + 6*q. Solve t + h + 1 = -q*t, -2*t = -d*h - 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3821.\nAnswer: 3\/3821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = -v, -8 = 3*v + 4*z - 2*z. Solve v*p + 6 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -1\/4*o**4 + o**3 + 0 - 2*o + 0*o**2. Find s such that x(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131550 a multiple of 958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 12. Let t be g(7). Let o(j) = 17*j - 1. Let v(l) = 4*l. Determine t*o(u) - 9*v(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let c = 5 - 0.1. Let t = 5 - c. Which is bigger: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 5 = 0. Suppose -x = -6*x + 25, 0 = 2*n - i*x + 23. Let f be (6 + n)\/(16 - (3 - 6)). Is f < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1937780.5469 - -1937909. Let b = -0.0469 - h. Round b to zero decimal places.\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/20 + (-13)\/(-4). Suppose -2*u + 32 = -2*k + 30, -3*k = 2*u - 7. Solve 2 = l*w - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00317449 rounded to five dps?\nAnswer: -0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzzyzzzzzzzzzzzzzzz?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 5\/481 (b) 1 (c) -35 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -0.3, 0.08, -2390?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtyy when four letters picked without replacement from {t: 3, m: 1, y: 2, j: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 19 + 655*l + 49 - 13 in the form b*l + g and give b.\nAnswer: 655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507275 (base 8) to base 9.\nAnswer: 274826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(-9 - -11). Suppose -v = 7*a - 29. Let q(d) = 2*d**2 + 8*d + 2. Let x be q(-6). Solve -5*j - x = -l - 10, -a = 5*l - 4*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 2. Let q(w) = -w**2 + 11*w + 34. Let i be q(14). Is 11 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + -339715?\nAnswer: -339750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/27 + (-11)\/(-3). Suppose -i = 2*i - 2*f - 34, 0 = -2*i - u*f + 40. Suppose -2*y = -4*y + 6. Solve -5*v - c = 1 + 7, -4*c = -y*v - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-795)\/53)\/((-3)\/6*2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -347*m**2 + 11 - 11 + 0 in the form c*m + r*m**2 + j and give r.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054381998 is divided by 6625?\nAnswer: 6623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-27) + (-2)\/(-9). Let r be (48\/(-20))\/(6\/(-15)). Solve k = 2*d - r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01547 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 39*g = 38*g + 2, -j + 23 = 4*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + g + 14 - 3 to the form v + d*g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4569638 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - w - 3, 0 = 2*n - n + 2*w + 1. Let i = 0.1401 + -14.0501. Let o = 13.9 + i. What is the second biggest value in o, -4, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*r - 23 = 0, 5*t + 5*r = 63 - 33 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/7 - 8*s**3\/7 + 9*s**2\/7 + 18*s\/7 = 0.\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 27 = 2*w, -w + 6 = -2*d. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 - 6*l**4 - 3*l - l + 5*l**4 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 463 - 461. Let v(m) = -m**f - 17*m**2 + 24*m**2. Let k(o) be the third derivative of -o**5\/60 + o**2. What is k(v(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/336 and -137\/2286480.\nAnswer: 2286480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.2 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 5796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 + 1096*t**2 - 40042*t + 173060 = 0. What is t?\nAnswer: 5, 34, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1425339?\nAnswer: 4276017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 46*g**3\/3 + 17*g**2\/2 + 49*g - 161. Does 24 divide w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 2747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - 2*sqrt(539) - sqrt(539))*-4)**2*-1.\nAnswer: -34496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -7) + 65 + -14\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305962325?\nAnswer: 5, 29, 503, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151382059\/484 - 312773. Calculate the common denominator of 37\/1760 and q.\nAnswer: 19360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + y + 265. Find the common denominator of -54\/25 and -6 - (-3 + 0) - y\/(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:55 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101001 + 1011?\nAnswer: 110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 88 = -2*k, k + 7*s = 2*s + 58. Suppose 0 = -3*t - 1126 + 991. Let h = k + t. Let v(w) = -w - 11. Let j(o) = o + 6. Determine h*j(z) - 4*v(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*j + 2, -4*o + 15 = 3*j - 27. Let l be o\/18 + (-694)\/6. Let g = l - -172. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4837 + 4836.5. Put 5, l, 126 in increasing order.\nAnswer: l, 5, 126","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 135 = 22*c. Let a(p) = -p**2 + 35*p - 80. What is the units digit of a(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**3 + 7*q**2 + 3*q + 2. Let u(m) = -3*m**3 - 6*m**2 - 3*m - 1. Let z(y) = -2*c(y) - 3*u(y). Give z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/17 + (-50076)\/(-51). Suppose -5*g + 3*y = -0*y - 4826, g = -5*y + m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2713, 167, -2379?\n\"Answer: -2546*c + 5259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25685 rounded to the nearest 100?\nAnswer: 25700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27468, -27465, -27460, -27453, -27444, -27433, -27420?\n\"Answer: g**2 - 27469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41850668 a multiple of 578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -20. Let l = 20968 + -20849. Calculate the remainder when l is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 127164646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 43. Calculate the common denominator of 103\/12 and (4\/(-6))\/(-4 - 102\/o).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -42*t**2 + t. Let g(a) = -377*a**2 + 9*a - 892. What is -g(b) + 9*r(b)?\nAnswer: -b**2 + 892","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -883*x**5\/5 + 1774*x**4\/5 + 3516*x**3\/5 - 1798*x**2\/5 - 2633*x\/5 + 24\/5 = 0. What is x?\nAnswer: -1, 8\/883, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 888906547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/14 - 0 - (-3290)\/(-3185). Which is the smallest value? (a) -1\/4 (b) -0.4 (c) 0.3 (d) m (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 29 + (-6 - (4 - (4 - -11)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d - 14*d + 40*d - 13*d - 5*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 245950, 245965, 245990, 246025?\n\"Answer: 5*c**2 + 245945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 6 - (15 + -6 + 6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 12 = -2. Let a be 1\/x - 275\/10. Let u = a + 63. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28538037 to the nearest integer?\nAnswer: 5342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -y - 4, -g + 2*g = -y. Let u(b) = -95*b**3 + 0 + 0*b + 104*b**3 + 1 + b. Give u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8\/19, 2\/227 in decreasing order.\nAnswer: 0.3, 2\/227, -8\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-990)\/462.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5482? (a) -1\/2 (b) -5\/4 (c) 2 (d) 0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 26. Let d be h(-6). Suppose -d = 8*m - 58. What is the greatest common divisor of 24 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -239393\/557 or -429?\nAnswer: -239393\/557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -10, -8, -5 in increasing order.\nAnswer: -10, -8, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159401 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/1453 + -149699\/29060. Let r = -771675677\/18 + 42859358. Let u = 11510 + r. What is the common denominator of u and w?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737.7753 minutes in microseconds?\nAnswer: 44266518000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 2*p + 15 = -18, 3*o = -2*p + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21661 - -21685. Let c(v) be the third derivative of 0*v + 0*v**3 + 0 + 1\/300*v**5 - k*v**2 + 1\/40*v**4. Find l, given that c(l) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/32 and (-2 - -19)*(-20)\/((-16280)\/(-33)).\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865287.\nAnswer: 3, 79, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 976668156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let y be r(2). Let c(l) = 0*l**3 - l**y + 2*l**3 - 6*l**2 + 6 + 6*l. What is the units digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/3 - (-2)\/(-3). Solve 4*m + 13 = -w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -42, -54, -62?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 173*i - 18*i - 152*i + 3.\nAnswer: -343*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d + 4*l = 20, 0 = -d - l + 10. Calculate the least common multiple of 172 and d.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*18\/1485*11.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 = 3*g, 3*c + 96 = 5*g + 131. Solve q - c = w + 3*q, 2*w = 4*q - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:49 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 2030.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5689 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*s + 6*s + 90 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 4 - 3 - 1 as t*b + q and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.79 to zero dps.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 64\/(-36) - 32\/((-8064)\/(-4732)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llltllltlllltllllt. Give prob of picking 1 t and 1 l.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*o - 171*o - 46 + 72*o)*(2 - o - 2).\nAnswer: 2*o**2 + 46*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 9*l - 214 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/18 - 1695\/(-18). Factor -3*b**3 - f*b**5 - 90*b**5 + 185*b**5 - 2*b**2.\nAnswer: b**2*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110001100 (base 2) in base 12?\nAnswer: 9a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 45.8. Let n = 7 - g. Let r = n - -0.4. Put -3\/7, r, 0.4 in decreasing order.\nAnswer: 0.4, r, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -285566 (base 11) to base 12\nAnswer: -196516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 + 1203.117572699?\nAnswer: 1194.817572699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/24)\/5)\/((-340)\/(-2244))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:41 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -535.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + x**2 + x - 9. Let c(n) = n**2 + n + 2. Let q(w) = -6*c(w) - g(w). Suppose -2*v + 17 = 1. Determine q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 58888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**3 - 2*a**2 + 5. Let i(v) = 3*v**3 - 2*v**2 + 4. Let h(q) = -5*i(q) + 4*r(q). Find n such that h(n) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4523.5 rounded to the nearest ten?\nAnswer: -4520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*h**2 - 1148*h + 1148*h)*(6 - 5 + 21*h + 0) - 14*h**3 + 6*h**3 - 9*h**3 - 2*h**2 as f*h + i*h**3 + w + b*h**2 and give i.\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n**2 + 4*n - 3. Let w be (-62)\/(-22) + 2\/11. Suppose 2*a - w*a + 5 = 0. Let b(h) = 2*h - 6. Let s be b(a). Determine d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 7*v**2 - 13*v - 1. Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -752, -1484, -2216?\nAnswer: -2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*c + 1595 - 1595)*((2*c + 1 - 1)*(-c + 2*c - 3*c) + (2*c - 3*c - c)*(-c + 8*c - 3*c) + 4 - 4 + c**2) as k*c + j + s*c**2 + z*c**3 and give z.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 7*l**2 + 9*l - 3. Let j be w(8). Let f(q) = -q**2 - 6*q. Let a be f(-5). Calculate the highest common factor of a and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 3)\/((-1)\/2). Suppose 5*x = -k*q - 1, 2*x - 3*x + 31 = 3*q. What is the greatest common factor of 108 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f**(1\/2)*(f\/((f**0\/f)\/f)*f)**(-25))\/(f**(-2\/7)*f**(-5\/4)\/f*f**3*f**(1\/4)) assuming f is positive.\nAnswer: f**(-1375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 3:19 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 p when two letters picked without replacement from npkn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1650*g**2. Let a(p) = -2*p. Determine a(s(c)).\nAnswer: 3300*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 193 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 0 + 2*t**4 + 2\/3*t**5 - 2*t**3 - 14\/3*t**2 + 4*t = 0?\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11506 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 1\/6, -5, -61?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -15, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 2*z + 1. Suppose -2*k = -2*x + 3*x - 99, -x + 49 = k. Let f = k - 54. Give o(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-245)\/98)\/(33\/66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 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: Does -621334 = -18018691\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*v = -52*v - 315. Suppose 3*q - v - 396 = 0. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1895ff (base 16) to base 5.\nAnswer: 403030023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 564?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -9 - 6) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -25.8 (b) 0.9 (c) 4 (d) -0.322 (e) 3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(275) + 0 + sqrt(275)) - sqrt(275)) + sqrt(275) + sqrt(275) + -1 + 1)*4*-5)**2.\nAnswer: 13310000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(153) + (sqrt(17) + -3)*6.\nAnswer: -18 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28\/267 - -61\/267. What is the closest to -5 in -2\/7, 0.04, 0, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.3 - -9.7. Let n = 17 - w. What is the nearest to -1\/3 in n, 0.2, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -174 - -1220\/7. Let w be ((-2)\/8)\/((-15)\/(-24)). Which is the second biggest value? (a) j (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 12*d + 13. What is l(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215*x**2 + 500*x?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -910104 - -1654775. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 25, -1, 37, -3, -5.\nAnswer: -19, -5, -3, -1, 25, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -16. Let o(y) = 5*y + 102. Let l be 5*8\/100 - 102\/5. What is the lowest common multiple of o(l) and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1760 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*l + 5. Solve l = a, -3*i + 7*a - 12 = 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 60*n - 86 - 33 - 4. Let h be v(8). Calculate the greatest common factor of h and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579253 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106290580 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 869, 3114, 7517, 14798, 25677, 40874, 61109?\n\"Answer: 120*o**3 - o**2 - 30*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 76610540.\nAnswer: 459663240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u - 4*u)*(6*u**2 + 0*u**2 - 2*u**2) + u**2 - u**2 - 5*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*150207122.\nAnswer: -600828488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -313\nAnswer: -200\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/71, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 72 = -x. Let h be 3\/x*14 - -3. What is the closest to 2\/7 in 3, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183415.396 + -183112. Let w = -0.396 + p. Let i = -303.127 + w. What is i rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29293001 is divided by 181944.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -245*v**3 - v**2 - 4*v + 5. Let j be h(-2). Let r = 23 - 19. What is the first derivative of -j*u**3 - 16*u**r + 1969*u**3 + 32 wrt u?\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39015 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 10*l - 166. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.3540869 rounded to zero decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j - j - 2*j + (6*j - 4*j - 5*j)*(-1 - 3 + 3) + (-1 + 1 - 2)*(-j - 2*j + 2*j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Let u = 0 + 4. Solve -u*a - 5*w + b = -w, 4*w = -5*a + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*q, -5*q - 8 = 2*f - 47. Suppose 3*r - r - f = 4*a, -4*a = 4*r. Suppose -103 = -3*u + 5*s, -r*u - s = u - 73. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.074 + -0.074. Which is the nearest to -2\/5? (a) 0.2 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.69 - 0.31. Let f = -149 - -152. What is the second biggest value in c, -9, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 11*b - 4. Let i(t) = t - 2. Let d be i(-6). Let x be r(d). Calculate the highest common factor of 24 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3776125 - 0.39?\nAnswer: 3.9876125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60\/10*2\/6. Solve -5*y = 2*h + 12, -4*y + 0*h + u*h = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 6*h**2 - 2*h - 5. Let p be i(-6). Suppose -p = -m + 2*f + 4, 0 = m + 2*f + 5. Solve -5*w + 10 = -5*n, 2*w = m*n + 3*w + 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 + (2 + -5 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 5*x + 227 = 142, 5*u - x = 4*x - 100 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817 a factor of 28103486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-4)\/(-3)*(20 - 17). Suppose h = 4*j - 0. Is j\/26 - 12015\/(-65) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3*o**(-7)*(o*o\/(o\/(o*o**(-6\/7)))*o)\/o**(-4\/5))\/(o**(-8\/7)*o\/o**9*o)**27 assuming o is positive.\nAnswer: o**(1094\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(2)))**2 + 1 + sqrt(8) + (1*sqrt(40))\/sqrt(5).\nAnswer: 28 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) + (-2)\/4. Let n be 0\/(0 + (t - 0)). Let f be 885\/(-118) - (-21)\/6. Sort n, -5, f in decreasing order.\nAnswer: n, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dppd when four letters picked without replacement from {p: 2, t: 4, a: 3, d: 2, u: 2}?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 385412123 rounded to the nearest 100000?\nAnswer: 385400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1721 + -1322.7. Round q to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 2.15. Let w = -1.1 + 0.4. What is the third smallest value in -4, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1.6. Let u = s + -0.3. Let f = 0.7 + -0.3. Sort u, f, 2 in descending order.\nAnswer: 2, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 2206*c**2 + 1225385*c + 9662408.\nAnswer: (c + 8)*(c + 1099)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 1927*d**4\/4 - 2*d**3\/3 - 369*d - 2161. Find the third derivative of c(a) wrt a.\nAnswer: 11562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) -3 (b) 28 (c) -1\/3 (d) 6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5 + 19*q**4 - 58*q**3 + 71*q**2 - 30*q = 0.\nAnswer: 0, 1, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 191573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2, -3*y = -2*q - 0*q + 3. Suppose 4*m + 4 = q, 0*x - x = m - 1. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 3 = -2*j + 2*f, -5*j = -j - 1062*f + 1072*f - 4 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:15 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + (-1 + 4 - 1). Let x = 149 - t. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t + 1. Let n(w) = -13*w**2 + 4*w + 4. Let m(f) = -n(f) + 3*o(f). Is m(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 12, 16, 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h**2 + 34 + h**3 - 10*h - 30*h - 29*h - 8*h**2 + 82*h. Let j be m(15). Suppose -2*z - 4 + 12 = 0. Solve z*b + 3*s = -10, 7 = j*s - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 3, -5, 0 in descending order.\nAnswer: 3, 4\/5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 480 and 615?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + d)*(82*d - 20 + 22 - 215*d).\nAnswer: 133*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 659283*n - 5933311. Calculate d(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 3, j: 13}. Give prob of sequence jooo.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, i: 5}. Give prob of picking 2 i and 2 h.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410892 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, b: 2, v: 2, e: 7}. What is prob of picking 3 s?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10002 - 12?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 - 10*g - 28. Let z be m(10). Suppose -32*p + 10*p = -z. Calculate the remainder when p is divided by 27\/(-3)*10\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = 4*w. Let l = 32 + -28. Suppose 112 = 4*z + l*g, -2*z - 2*z - 3*g = -112. What is the highest common divisor of z and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/8 + 21285*z\/8 - 10641\/4.\nAnswer: -3*(z - 7094)*(z - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 162. Let n = d - -39. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 66802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89412457?\nAnswer: 521, 171617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2\/13, -4\/3, 2 in descending order.\nAnswer: 12, 2, -2\/13, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**3\/3 - 171*i. Let h(j) be the second derivative of j**4\/3 + j. Calculate h(l(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299400, 299392, 299380, 299364, 299344, 299320?\nAnswer: 299292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, 10293, -3, 3, -1.\nAnswer: -3, -1, 3, 4, 28, 10293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -307, -1, 0.5, -11\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**5)*s*s**(-9))**(-1\/26) assuming s is positive.\nAnswer: sqrt(s)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5 = -5*m, -2*m + c = 4*c - 2. Let i be ((-3)\/(-12))\/((-2)\/4). What is the nearest to i in 3, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 8798.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uucucccuuccccccccccc. Give prob of picking 3 c.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*b - 6*b - 8 = 0, b = -t + 7. Suppose -o + 3 = -2*o - 5*k, -o = t*k + 2. What is the tens digit of o + 59 - 9\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 - 10*m**3 - 5*m**3 - 8*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -2*28\/(-24). Let q = 50\/29 + -121\/87. Which is the closest to q? (a) 0 (b) m (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16380 and 12558.\nAnswer: 376740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:47 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = b + 2. Let y be (0 - 0)\/b - 2. Let m be y + (1\/1)\/(-1). What is the biggest value in 0.3, m, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/84*(104\/(-1300))\/((-3)\/(-10)).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41529 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t - 4. Let h(o) = o**2 + o - 1. Let g(f) = f**2 + 5*f - 3. Let z = -27 - -30. Determine t*g(q) + z*h(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/11640 and 11\/535440.\nAnswer: 535440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 31 = 19. Suppose a*r - 4*r = -3*l + 29, -5*r - 3*l = -109. Is 18 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -22.3. Let f = j + -3.9. Let m = 5 + f. Which is the biggest value? (a) m (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -256327 (base 13) to base 10.\nAnswer: -899113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-3)\/(-12) + (-82)\/8). What is the tens digit of (h\/15 - 1)*(-37 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*p + 22*p - 4*o - 480, -4*o = 3*p - 332. Calculate the remainder when p is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Let y = -0.06 + 3.06. Let n = y + -3.5. Which is the third biggest value? (a) n (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:04 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 12. Let j = -7.02 - c. Round j to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15100 + 220396 = 3948*b for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-3)\/o))\/(o\/((o\/(o\/(o**1*o)))\/o))*o*o**(1\/7)*o*o*o**1*((((o*o**(-4)*o*o)\/o)\/o)\/(o\/o**(-6)*o))**(3\/10) assuming o is positive.\nAnswer: o**(409\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*-1*sqrt(28))\/(sqrt(48)\/(1*sqrt(12)) + sqrt(4)) + 0.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(5 - 5 - 2*c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 6, w - 5*t - 15 = 6*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*b**3 - 845689*b + 845689*b + 119*b**3 - 290*b**3.\nAnswer: -54*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -10 + -1 - (4 + (-10 - 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.69 - 10.91. Let p = -11 - r. Let z = p - 0.2. Put -5, 0.3, z in decreasing order.\nAnswer: z, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/6*(-4)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -42.22. Let y = m + -0.42. Let f = 3 + -7. Which is the third biggest value? (a) y (b) f (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 5*i**4\/2 + i**3\/3 - i**2\/2 - i + 1. Let r = -20725 - -20767. What is the remainder when z(2) is divided by r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85668 >= 5225732\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54101?\nAnswer: 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000395323957 to 7 decimal places.\nAnswer: 0.0003953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.033.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - d. Let h = -3 - 3. Let g be (-2)\/6 - (-4)\/h. Let m be f(g). Solve m = 2*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1)**(-13)*(l**1)**(-28) assuming l is positive.\nAnswer: l**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11307 is divided by 3763?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8\/3. Let w = -6\/109 - -1022\/2725. Let b = w + 9\/50. Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 236863?\nAnswer: 2368630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 24528*i - 124 = -24532*i, 6*a = -5*i + 154 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62245.23 micrograms in grams?\nAnswer: 0.06224523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 319\/516 - 3\/86. Let s = 11\/12 + c. Do s and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -14. Sort 1, -2, i in descending order.\nAnswer: 1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:21 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 - 71*v**2 - 120*v - 50. Calculate the remainder when d(-22) is divided by 93.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-349779)\/(-2))\/((-180)\/4). Let p = l + 3887. Find the common denominator of 49\/11 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**6\/120 - l**5\/12 + 7*l**4\/24 + 2*l**3 + 37*l**2. Let z be u(-6). Let o(v) = -z*v + 1 - 8 + 2 + 6. Calculate o(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 + 3463)\/(4 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1428*s + 1421*s + 77. Let c(r) = 2*r**2 - 5*r**2 - 5*r + 11*r + 17. Let a(g) = g**2 - 2*g - 6. Let u = 5 - 1. What is s*a(q) + u*c(q)?\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5222243315?\nAnswer: -5222243311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 0\/2 - (-7 - (-456)\/116).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 32*q**2 - 122*q - 4377. Calculate v(-10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -1.6. Let x = 78973\/5 - 15871. Let v = x + 76. What is the nearest to 0 in j, v, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 8*h**2 - 11*h - 7*h**2)*(4 + 1 - 7)*(-2 - 1 + 1).\nAnswer: 8*h**2 - 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y + 3. Let f(l) = l + 1. Let g(t) = 8*f(t) - 3*o(t). Let c(n) = -5*n - 6. Calculate -c(x) + 4*g(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:18 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10*z - 57*z + 70200. Is z <= 1078?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.4087 hours in seconds?\nAnswer: 3057871.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((2 - -3) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 - 3100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -408 + 243. Let f = l + 233. What is the remainder when f is divided by (-6)\/(-15) + (-96)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v\/(v*v**(4\/23)))*v)*(v\/v**(6\/7)*v)\/v*v assuming v is positive.\nAnswer: v**(-5\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*x**2 + 34*x**3 - 32*x**3 + 4*x**2 to the form w*x + z*x**2 + u + b*x**3 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 14.86. Let g = 0.86 + f. Which is the nearest to 2\/5? (a) g (b) 2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.702 * 0.42\nAnswer: 0.29484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:22 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a factor of 104038528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + (2 + 9)*(-27 - -28). Let u(v) be the second derivative of 0 + 3\/20*v**5 + 21\/2*v**p + 2*v - 7\/4*v**4 - 1\/2*v**3. Suppose u(a) = 0. Calculate a.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 6, 2.96?\nAnswer: 2.96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4486744214 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/5 + v**4\/6 - v**3\/3 + v**2\/2 - 4*v. Let f be y(1). Suppose -b = -0*b - f. Sort -3, b, 3 in ascending order.\nAnswer: -3, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 18.2. Let z = -3.7 - 3.3. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478227208 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -254.01 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -1\/3, 0.1, -7\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -29.846*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 109.\nAnswer: -75\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 352 = 4*t, 4 + 8 = -4*d. Calculate the remainder when 816 is divided by t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 12 + 2. Suppose -6*h + 128 = 398. Let g = -42 - h. Solve -g = 5*r + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 4*h**2 + h**2)*(-3*h + 2*h + 0*h + (-1 + 3 + 0)*(-3*h + 2*h + 3*h) - 3*h + h + 3*h - 2*h + 6*h - h - h + h - h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002421025 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 521 - -6?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5*t + 3*t + 32, -3*t = -3*l + 132. Suppose -4*d - 2*u = d - 85, d + 5*u = l. Let x = 0 - -6. Calculate the greatest common factor of d and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and -3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.2, 2\/7, -15, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 23*u. Let x(l) = 2*l**2. Give x(v(k)).\nAnswer: 2*k**4 - 92*k**3 + 1058*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 427738.76799 and 0.5.\nAnswer: 427739.26799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 9*x + 7. What is the remainder when 39 is divided by l(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41746755, 83493512, 125240269?\nAnswer: 166987026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1947*c**4 - c**3 + 1437*c**2 - 75*c + 284?\nAnswer: -23364*c**2 - 6*c + 2874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -520*z + 32 = -528*z. Let b(o) = -153*o + 44. Is b(z) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/30 + (-34)\/70. Let k = -5.4 + 11. Let b = k - 6. What is the biggest value in 2, b, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (290495\/10)\/((-2)\/72). Let y be (-4)\/(-14) + v\/(-63). Suppose z + z = y. What is z rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -2 + 5 + 48 + 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525 + -524.9. Let o = -263\/4 - -65. Sort 10, o, t, 0.3 in increasing order.\nAnswer: o, t, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.749 - -5.765195. Round i to four decimal places.\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1289*o**6\/30 - 1525*o**4\/12 + 65*o. Find the third derivative of h(r) wrt r.\nAnswer: 30936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 12*f = 32, 3*b - 2*f + 241 - 227 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.1 + 3.4. Let u = v + 0.7. Let j = 6 + u. Sort 0, j, 5.\nAnswer: j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + 0*t + 30*t)*(-4*t**2 + 0*t**2 + 2*t**2)*(-6*t - 88 + 88) in the form u*t**2 + o*t**4 + n*t**3 + s + c*t and give o.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*b**2 - 54*b**2 + 2*b**3 - 5 + 110*b**2 as f + o*b**3 + j*b + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -101. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 5*x**2 + 0*x**2)*(-x - 3*x + 5*x + (-x - x - x)*(1 + 0 - 3)).\nAnswer: -35*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -7, -1, -12 in decreasing order.\nAnswer: 5, -1, -2, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-2*t + 2*t + 3*t)*(-51 - 109*t + 51 - 5*t + 3 - 3 + (1 - 1 + t)*(-5 + 4 + 0))*(t - 4 + 4).\nAnswer: -690*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(-3*a**3 + 0 + 0 - 2).\nAnswer: -3*a**4 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 60048.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i + 7. Let j be g(3). Let o = -18 - j. Let q = 8 - o. Solve w - 6*h + 2*h + 9 = q, -13 = 3*w - 5*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192412531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.95 + 6.94999643. Round x to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(51) - 1*sqrt(51)))\/(6*sqrt(27)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -17. Let p be (-12)\/n*2*-1. Factor 0*t + p*t**2 + 0 - 3\/4*t**5 - 9\/4*t**4 + 0*t**3.\nAnswer: -3*t**2*(t - 1)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5135 or 5137?\nAnswer: 5135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 49. Let r = 19.9 + a. Let l = -11\/15 - -107\/105. What is the nearest to r in -2\/5, l, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -12777.\nAnswer: -1\/4259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1659, 1669, 1713, 1791, 1903, 2049, 2229?\n\"Answer: 17*l**2 - 41*l + 1683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.3, 13, -2 in decreasing order.\nAnswer: 13, 1\/3, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/5 + 6712*m**3\/5 - 376158*m**2\/5 + 235288*m\/5 + 1477952 = 0.\nAnswer: -4, 5, 56, 3299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-7.2607573.\nAnswer: 3.63037865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/11 + 63\/55. Let h be ((-3564)\/45)\/(-12) + (1 - 7). Determine g so that u*g**2 + 0 - h*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471580467 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 58*x**3 + 4*x**2 - 3. Is l(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 13*j - 12. Let v(w) = w**3 + 12*w**2 + 8*w + 14. Let n be v(-11). What is the remainder when (-1)\/(-1) + n\/1 is divided by s(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-10)\/1)\/((7 - (-4962)\/(-708)) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2420 + -10?\nAnswer: 2410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -234 - -4915\/21. Let y(t) be the first derivative of -1\/7*t**2 - 4\/21*t**3 - 3 + 1\/7*t**4 + 2\/35*t**5 - r*t**6 + 2\/7*t. Suppose y(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = k - 39. Suppose n = -4*n + 115. Suppose 0 = -3*l - 12, -i + n = -0*i - 2*l. Calculate the highest common divisor of i and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1183 - -2029. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/2 + 51*g\/2 - 53 = 0. What is g?\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 6. Let r be o(-6). Suppose -2*h - 67 = -75. Suppose -2*z = -h*k + 7*k - 16, k = -3*z + 10. Solve k*g - 5*u + 16 = r, -u + 8 = u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 24 = -23*l. Suppose 2*i - i - l = 0. Is i < 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/21)\/((-480)\/35 + 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/25 (b) -1\/19 (c) 1\/2 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 426 + 74183?\nAnswer: 74609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.7 - 213.5. Let k = 35.4 - 175.4. Let v = r - k. What is v rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 6*x. Suppose -4*b = 5*f - 883, 865 = 4*b - 3*f + x*f. Let l = 648 + b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - 1.5. Let y = -0.1 + 1.1. Put y, -2\/11, p in decreasing order.\nAnswer: y, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5166 and -0.5.\nAnswer: -5166.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -19. Solve -3*h - 21 = -g*f, -4*h = -3*h - 2*f + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 170.7. What is the third smallest value in d, 4, 0.4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -120, 3, 2, 0.1, -244, -0.04?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 206 and 30797.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31, -38, -45, -52, -59?\n\"Answer: -7*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424690297?\nAnswer: 29, 31, 433, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbwhffwwwfwwfwwwwf. What is prob of picking 1 h and 2 w?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5203781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**2 + 27*b + 5. Let q(k) = 3*k**2 + 3*k + 5. Let r be q(-2). Is u(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w + 0*w + 19*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 9:12 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = v + 12, 3*s - 7*s + 16 = -4*v. Let y be -1*(2 - (s + -2)). Put y, -1, 3 in increasing order.\nAnswer: -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 3*g + 11, 16 = 2*q - q - 4*g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.982 + -6.98195811. What is x rounded to 6 decimal places?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -62446165.\nAnswer: -62446165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3525 and 1200?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1, 0, 28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -40?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:41 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + ((sqrt(5) + -1 + sqrt(5) + 1)**2 - sqrt(405)*-2)).\nAnswer: 90 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Suppose 0 = b + m*b + 3. Is (-1 + 31 - b)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40404 (base 5) to base 6.\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 32 = 13*z. Suppose 2*n + 10 = 3*u, -4*u = 5*n - 14 - 7. What is the third derivative of 2*s**6 + 3*s**u - 3*s**4 + 5*s**6 + z*s**2 wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941276 is divided by 669?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -52, -165, -342, -583, -888?\n\"Answer: -32*q**2 - 17*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -4 (b) -219 (c) -1\/3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3003310140 (base 5) to base 16\nAnswer: -5a4687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s**2. Let j be i(5). Suppose j = -5*h - 2*h + 28. Let f(r) = h*r**3 - 5*r - 3*r**3 - r**2 + 7 - 7*r**2 + 2*r**2. What is f(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1835 - 1088. Calculate the remainder when (22\/4)\/(-11) - p\/(-2) is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((4 - (-6 + 9)) + -40 + 27) - -59.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*113*(-66)\/(-495). Which is greater: c or 44?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 6258, 197 in ascending order.\nAnswer: 0.7, 197, 6258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 0, -5, 53 in decreasing order.\nAnswer: 53, 0, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1148 + 662. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22256 and 1040.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*c = 465*c - 1280 - 348. Solve -17*j + 14*j + v = 12, -j = -c*v + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135\/28 - -559\/35. Let k be 2\/(-3) - (-332)\/30. Let l = q - k. What is the nearest to -2 in l, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 4*n - 5*n.\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 6, g: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:52 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 - 4*l. Let m(s) be the third derivative of 11\/60*s**5 + 0*s**3 - 4*s**2 + 0*s + 3\/8*s**4 + 0. Give 4*m(c) + 9*x(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 8*b + 3*r = 2109, 0 = -5*b - r + 3527. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 4 (c) 17 (d) -1\/7 (e) -0.62 (f) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05799 and 13.\nAnswer: 12.94201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 - 2*c - 1. Let j be 1 - (0 - (4 + -1)). Let z be (-4544)\/(-355) + (-8)\/10. Suppose -j*o = -10*o - z. Determine g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5\/13 - 383622*j**4\/13 - 24501884460*j**3\/13 - 519446144763088*j**2\/13 + 105387048370144704*j\/13 - 311485468225612032\/13 = 0.\nAnswer: -64004, 3, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -4)*-6.\nAnswer: -18*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a + 47. Let x(j) = 3*j - 23. Let m(c) = -5*x(c) - 2*y(c). Let p be m(9). Which is bigger: p or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121055245\/1956 + -185668\/3. What is the common denominator of h and -41\/22?\nAnswer: 7172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 42\/(-52))*20\/25*127. Which is smaller: -21 or z?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 - 14*q**2 - 18*q + 37. Give r(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 20 = 3*d, 32496*d = 32494*d + 2*n - 28 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (sqrt(684) + sqrt(684) + 0 + sqrt(684))*-3)*6 + 1)**2.\nAnswer: -106920*sqrt(19) + 17953921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 78, 236, 484, 822?\n\"Answer: 45*g**2 + 23*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-3 + 1) - 1 - -1. Suppose -l + 12 = 2*k, -2*k + 0*k - 12 = -5*l. Which is the nearest to 1? (a) u (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 12. Suppose -t*x - 110 = -362. Let s(o) = -5*o**2 - 51*o - 32. What is the remainder when x is divided by s(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 16 = -2*r, -4*s + 21 = -4*r - 35. Let m = r + 14. Suppose -m*z + 60 = -2*z. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223.7 + 223.3994. Round w to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 + 3*c**3 + 42290467*c**2 + 315457*c - 13 wrt c.\nAnswer: -20*c**3 + 18*c + 84580934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -32. Let a(g) = g**3 + 23*g**2 + 39*g + 9. Is a(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*j = 1 + 17, 0 = -4*j - 12. What is the highest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*n - 2*n = -4, 4*n - 8 = -2*d. Suppose o - 3153 + 34 = d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10980734.\nAnswer: 2, 29, 83, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.12.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 - 80 + 59)*(-2 + 2 - 2*b**2) + (-4*b + 4 - 4)*(0*b - b - 4*b)*(-3 - 3 + 4) in the form x*b + f + z*b**2 and give z.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -89, -125, -163?\n\"Answer: -l**2 - 31*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*h - m, 4*h - 3 = -3*m + 6*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -o + 6 - 0, 17 = 3*o - 5*w. Suppose -575 = -5*t + 4*g, o*g - 460 = -15*t + 11*t. What is the smallest common multiple of t and 30?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5*-2*3 + 0. Suppose 5*f = 3*x - 10, 0 = -4*f - 3*x + x - n. Let r = -1008\/5 - -11083\/55. What is the third smallest value in r, -3, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381062?\nAnswer: 2, 3, 37, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -34430?\nAnswer: -34432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -153 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 432 + -430. Differentiate 2 + 3*g - c*g**2 - 245 + 40 - 7*g wrt g.\nAnswer: -4*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*v - 4*w, -8 = -4*v + 5*w + 36. Let k(y) = -2*y. Let u = -1 + 12. Let r(i) = 5*i. Give u*k(n) + v*r(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -46 (b) 0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 29034 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, -147, -986, -2161?\nAnswer: -3672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11065210 divided by -34.\nAnswer: -5532605\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*v**3 - 75*v**2 wrt v.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -10. Which is smaller: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 17. Suppose -4*z - 8 = -r*z. Find the second derivative of 3*b**z + 6*b - b + b wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/23)\/(i**(-6)*i) assuming i is positive.\nAnswer: i**(117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*f + 5 = 0, 88*d = 105*d - 4*f + 85 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*m = 90*m - 30. Is (-56)\/12 + 5 - (-3808)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 4*f - 3. Let t be u(5). Let g be (-63)\/(-5) + 12\/(-20). Suppose -n = -3*n - 3*q + g, 0 = t*q. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 9 - 16. Let x be 10\/(b + 1 + -4). Solve 0*f + 4*z = -x*f - 5, f + z = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3428 (base 11) to base 10\nAnswer: -4507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*o + 10*o**2 + 42*o**5 + 7*o**2 - 30*o wrt o?\nAnswer: 2520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 19 = 4*b, 21*b - 155 = 50*w + 16*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.9 + 0.9. Let k = s + 37.057. Round k to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1031, 5, 2159?\nAnswer: 2159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -4, 2 in ascending order.\nAnswer: -31, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -72?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9*u + 7*u = 29564, 4*d + 5*u = 59101. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -323*q + 4*q**2 - 10*q**2 + 327*q - 4. Give p(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l + 1. Let d(s) = 262*s + 52. Let a(t) = -14*c(t) - d(t). Differentiate a(k) with respect to k.\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -6*b**5\/35 - 51*b**4\/28 + 16*b**3\/7 + 450*b**2\/7 + 432*b\/7 - 498. Solve y(d) = 0.\nAnswer: -6, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24139.65 and -48680514.\nAnswer: -48704653.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -35 (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -704 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of -d**4\/6 - 2*d. Let s(x) = -1. Let w(p) = -3 - p - 3 + 1. Let f(y) = -5*s(y) + w(y). Determine c(f(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let t be d(-3). Let o(r) be the second derivative of -3\/2*r**2 + r + 0 - 1\/3*r**3 + 5\/12*r**4 - 1\/20*r**5. Give o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/(-36) + (-32581)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1230 and 46\/369.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2, 9, 43, -20 in increasing order.\nAnswer: -20, -4, -2, -1, 9, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 - 12*w. Give k(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52800 by 5.\nAnswer: 10560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - 335\/(-25) - 8\/20. Suppose 0 = -3*w + 6*w - 24. Let o = w - f. Solve o = -c - 1 - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6)\/(((z*(z*z**(6\/17)\/z*z*z)\/z)\/z)\/z*z*z))\/((z*z**16\/z)\/(z*(z*z**(-4\/15)*z)\/z)) assuming z is positive.\nAnswer: z**(-2797\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(21\/70)*(-1)\/2. Factor l*v**2 - 1251 + 1251.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (8 - -2) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3302*n**2 - 197*n - 190*n + 6543*n**2 + 387*n.\nAnswer: 9845*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124 - 16. What is the smallest common multiple of 12 and s?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 219*h**2 + 117*h - 863. Calculate the remainder when 122 is divided by f(109).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9044 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -400?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 4. Let o be (m - 0)\/(0 + 1). Let p(d) = d - 4. Let w be p(4). Is o at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8844614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -92722 + 264?\nAnswer: -9247a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:47 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 3, x: 3}. Give prob of sequence yz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1540 - 12351\/8. Let n = -189\/25 + -263\/200. Calculate the common denominator of p and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/33)\/m*m*m*m**(2\/19))**37)**(3\/7) assuming m is positive.\nAnswer: m**(7178\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/14*(60\/(-24) - -6). Which is the third smallest value? (a) 0.5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, p: 4, b: 1, l: 7}. What is prob of picking 4 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -141 - -144. Solve -2*n + 3 = -u*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2425096711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117 plus 192117.1372592?\nAnswer: 192117.0202592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 23*a**4\/12 + 547*a. Let f(h) = 22*h. Give c(f(i)).\nAnswer: 11132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -313*h**3*m**3 + h**3 - 2*h**2*m**2*v**2 - 2640*h*m**3*v**3 - 12*h*m**2*v - 8779*h*m*v - 3*m**2*v**3 wrt m.\nAnswer: -1878*h**3 - 15840*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 542 = 5*v - 537, 2*q - 3 = 7*q + 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a - 19 = 21*a + p, 5 = -2*a - 3*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 373949283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - f. Let k(n) be the second derivative of 7*n**5\/20 - 71*n**4\/12 + 76*n**3\/3 + 25*n**2 + 3*n. Let o(g) = -5*k(g) + 15*s(g). Factor o(h).\nAnswer: -5*(h - 5)**2*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 107, 126, 145?\n\"Answer: 19*u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2466? (a) -2 (b) -1\/10 (c) -2\/9 (d) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (24 - 3 - -4) + (-15 + -17 - -42)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68? (a) 2\/35 (b) -11\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0. Let q = 213 - 318. Let z = -101 - q. What is the closest to 0.8 in 4\/3, l, z?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4111 - 4109. Solve -3*y - 3 = b*g - 6*y, -3 = -5*g - 3*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - (0 - -2))\/1. Suppose -t*g + 2*g = -390. Suppose 4*n + g = 6*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1610295486?\nAnswer: 2, 3, 19, 14125399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34069992 and 13756?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**6\/180 + 11*z**5\/120 - 7*z**4\/12 - 3*z. Let p(t) be the third derivative of r(t). Is p(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -169 - -bcb0?\nAnswer: bb45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a6b (base 12) in base 11?\nAnswer: -5048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*c + 24, f - 3691*c + 3689*c + 19 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 345, -2, 1881, -4, 2, 1 in descending order.\nAnswer: 1881, 345, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 38*j**2 + 216*j + 524. Give g(-32).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.8. Let a = -6383 - -6378. What is the smallest value in 7, a, t, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*t + 104*t + 120 = 0. Suppose -z = 5*x - 3017 - 722, 0 = z - 4. List the prime factors of t*(2 + x\/12).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, -16, 108 in increasing order.\nAnswer: -16, -2, -1, 1, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 10:37 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -312\/11 + 3997\/132. Let p = b - 5\/3. Suppose 5*q - 7 = -2. Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 14 = -4. Let b(m) = 18*m**2 + 2*m - 1. Let r be b(v). Is (-2 - -5)\/3*r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - l + 26000. Round l to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*b = 3, 4*o + 2*b - 8 - 10 = 0. Solve -o*k + 5*k - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73909536 - -1.44773.\nAnswer: -73909534.55227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 20*j - 17. Let t(v) = -1 + 8*v - 5 + 3*v - 4*v. Let g be 4\/(-10) + 32\/5. Let r(c) = g*k(c) - 17*t(c). Let l(q) = q**2. Give l(r(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 4. Suppose -j*r - 18 = -2. Let i(l) = 2*l**2 + 5*l + 1. What is the units digit of i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/18)\/((-183)\/(-122))*-120\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11909 divided by 4.\nAnswer: -11909\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3120 and 77090.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -b. Suppose -7*n + 15 = -b*n. Let h = 289 - 291. Sort 5, h, -3, n in decreasing order.\nAnswer: 5, h, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*m + 15*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256, 1026, 2308, 4102, 6408, 9226?\n\"Answer: 256*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*v - 75 - 5 = 0, -5*v = -u + 40. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 3*h**2\/2 - h - 1. Let k = 22 - 44. Let q = 24 + k. Give d(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 5*p**2\/2 + 8*p + 7. Let t be j(6). Let w(b) = -b**2 - 33*b - b**t - 4 + 28*b + b**2. Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:32 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 2 + 8*d**2 - d**2)*(-4 - 4 + 0)*(0 + 0 + 3) + 277 - 277 + 4*d**2 to t*d + q*d**2 + o and give q.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93568, 0, -2.\nAnswer: -93568, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 0*j)*(6 + 0 - 2) + 3*j - 2*j + 0*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098857?\nAnswer: 31, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207 = 3*v + 12*u, 14*v + 108*u - 113*u - 105 = 9*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3178717853?\nAnswer: 43, 2411, 30661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1722060201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114512 and 45152?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -61?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22222 + -101001112?\nAnswer: -101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 3046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.1, -4, -1\/2, -0.4, 0.33, -1.215?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-12\/11)*s)\/(s\/(s\/(s*s**(-28)))))\/(s*s**(-1\/19)*s)**(-7) assuming s is positive.\nAnswer: s**(8682\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6274*u = 6269*u - l + 15, -7*u - 5*l = -39 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3951 + 16805. What are the prime factors of q?\nAnswer: 2, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**4*h**2 + 61*d**3*h**2 - 10*d*h**2 + 8*d*h wrt d.\nAnswer: -12*d**2*h**2 + 366*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1.52, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11832 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*c - 21*c + 288. Solve -2*b = -5*u - 1, -3*u + 0*u - 9 = -c*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 e when three letters picked without replacement from hyjefjz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**3\/5 + 2964*y**2 + 59319*y\/5 + 44496\/5 = 0. What is y?\nAnswer: -3, -1, 4944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -184, -203, -216, -217, -200, -159?\n\"Answer: w**3 - 3*w**2 - 17*w - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6817546 is divided by 519.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19777722 rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(200)*-1) + -5.\nAnswer: -5 - sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*r - 24, 2*r = 4*f + 4*r - 72. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/2 - -33\/8. Let m = -2.2 - -1.7. Which is the third smallest value? (a) 1\/3 (b) h (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -18. List the prime factors of r\/(-32) + (1886\/16 - 2).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5010, 5007, 5002, 4995, 4986, 4975, 4962?\nAnswer: 4947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -188. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 25. Let n(p) = 9*p**2 - 190*p - 14. Let q(w) = -3*w**2 + 54*w + 4. Let u(r) = 2*n(r) + 7*q(r). Give u(s(l)).\nAnswer: -3*l**4 + 152*l**2 - 1925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 2*h**2 - 3*h + 9. Let s be l(-4). Suppose 0 = -3*o - 2*c + 147 + s, 2*c = 5*o - 344. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f = 120*f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/180396 and -73\/60132?\nAnswer: 180396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 59 - (8550 + -8416)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j**3 + 24*j**3 + 23*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014980337 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56364039.\nAnswer: 3, 2087557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*r - 236740 = -236690, 3*h = -12*r - 153 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*((-122112)\/720 + 171)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from oooycyscoonzyczccosc?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1435 - -1432. Let n(b) be the third derivative of 3*b**5\/20 + 3*b**4\/8 + 2*b**3\/3 + b**2. What is the units digit of n(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*-58*14\/(-203)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-1)*4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13110333122 + 11?\nAnswer: 13110333133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -4. Let p(j) = -j. Let t(d) = -7*d + 2. Let k(b) = i*p(b) - t(b). Let z(v) = -v**2 - 6*v + 3. Let o be z(-6). Give k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*(sqrt(156)*-3 + sqrt(156)))\/sqrt(12) - (-3 + sqrt(13)*-2 - (3*sqrt(78)\/sqrt(6) + sqrt(13))))**2.\nAnswer: -12785 - 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-4 + 2) - (2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 505448.2 weeks?\nAnswer: 5094917856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/5 + p**2 - 3*p. Differentiate m(b) with respect to b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13849238 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 213105619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1130, -1132, -1134, -1136?\n\"Answer: -2*b - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 20*x**2 + 8*x - 4. Let j(a) = -6*a**3 - 109*a**2 + 42*a - 21. Determine -2*j(u) + 11*p(u).\nAnswer: u**3 - 2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and (0 - (3 - 19)) + 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -9\nAnswer: -71\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**2 - 3*w + 1811. Let l be (-2)\/5 - 44\/(-10). Calculate i(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3441, 14185, 32089, 57153?\n\"Answer: 3580*c**2 + 4*c - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s + 14*s - 8*s - 5*s + 17*s + 95. What is x(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j - 2. Let c(n) = -n - 6. Let o be c(-3). Let p be (-1 - o)\/1 + -42. Let w = p + 42. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*r + 31, -2*r = 3*l - 13 - 11 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*((-1)\/1)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/115*2 - 6222\/(-138). Let j(f) = 4*f - 5. Let l(q) = 2*q + 1. Let b be l(2). Let t be j(b). Calculate the greatest common divisor of g and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((356\/(-267))\/((-6)\/(-9)))\/(((-672)\/(-102))\/(-7)).\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 11*i - 9. Let j = 1 - -8. Let z be w(j). Solve 0 = 4*g - 5*r - 0*r - 11, 0 = 3*r + z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 4*b**4 + 3*b + 0*b**4 + 2*b**3 + 7*b**4 - 19*b**4 - 5 + 6*b**4 to the form w*b + j + y*b**3 + s*b**4 + n*b**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itiittiiti. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850733287 a multiple of 1626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -m + 3*c, 2*m - 4*c = -2*c - 2. Suppose 6*g = g - m*g. Suppose -h = -g*h - 571. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -4, 0.3, -1\/3, -0.3 in descending order.\nAnswer: 0.7, 0.3, -0.3, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*j + 236 - 146 - 88 + 29*j**2 as g*j + o + p*j**2 and give p.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 - 6*v + 4. What is b(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/4 - ((-476)\/77 - -2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 3*a**2 - 6*a + 4. Let k be m(4). Let j(r) = r**2 + 3*r - 9. Let o be j(k). What is the common denominator of ((-188)\/20)\/((-6)\/o) and -37\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53752.\nAnswer: 2, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72103518 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -570 - -577. Suppose -7606 = -o*g + 13653. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-208)\/(-34) - (10 - 34)\/(-4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6869 plus -5?\nAnswer: -6874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1140911.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -14 in decreasing order.\nAnswer: 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.3 (c) 0 (d) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 40067.29 times -4\nAnswer: -160269.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10526.1 and -0.542.\nAnswer: 5705.1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1513, 3028, 4543, 6058, 7573, 9088?\nAnswer: 10603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) 206 (c) 3 (d) -0.04 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.431 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.4 - 4. Let o be (-7450)\/(-56) - ((-5)\/(-1))\/(-20). Let y = -133 + o. Which is the nearest to 0? (a) y (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/47, 29645\/6, 2, -0.3 in descending order.\nAnswer: 29645\/6, 2, 1, 2\/47, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2 - 2) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.8 - 13.8. Let z = -11.1 - i. What is the second smallest value in z, 4\/3, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -10. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1875 and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4007 from -61416768.\nAnswer: -61420775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308039338.\nAnswer: 2, 157, 981017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.126328 and 0.699.\nAnswer: -0.088303272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5506283 is divided by 6125?\nAnswer: 6033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, -5 in decreasing order.\nAnswer: -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnn when three letters picked without replacement from {c: 2, n: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021234.\nAnswer: 2, 510617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3 - 5. Let z = 0 + c. Solve -3 = z*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1)\/(2 - -5 - (-442)\/(-65)). Let n(j) = -14*j - 1. Let x(s) = -s. Calculate c*x(h) - n(h).\nAnswer: 9*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 plus -656801040318?\nAnswer: -656801040301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**4 + 4*k**4 + k**4 + k - 7*k**4 wrt k.\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -2031672101?\nAnswer: -2031672050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1692 - 4*f + 84*f**2 - 356 - 628 + 2*f - 452 wrt f?\nAnswer: 168*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 31056 = -606. Calculate the smallest common multiple of 12 and p.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (4 - -19) - 11 - -23\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 1)*-3*36\/54\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(225))\/((sqrt(55)*-2)\/sqrt(11) - sqrt(35)\/(sqrt(28) + sqrt(7))).\nAnswer: -90*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 20. Let t(h) = -1 + 4*h + 3*h**n - h**2 - 8*h**2 + 5*h**2. What is t(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7063 + -5000. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, -2, 410.19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -98*w**3\/3 + 15*w**2 + 2*w + 1. List the prime factors of t(-2).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**3 + t**2 - 1. Determine u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-19 - -15)\/(0 - -4). Let y be (1 - 0)*(c + 2). Solve 5*t = -19 - y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 30\/(-50))*5\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/61)\/l*l)\/(((l**(-1\/9)\/l)\/l*l)\/l))**(1\/4) assuming l is positive.\nAnswer: l**(1141\/2196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 105. Let v = 38 + i. Let t = v + 21. Put -0.3, t, -0.1 in descending order.\nAnswer: t, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.23 - 0.23. Let u = 3 + 3. Let n be u\/(2\/1) - 8. Which is the smallest value? (a) n (b) j (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = 16*s - 18*s. Suppose 11*a - s = 5*a. Suppose 0 = a*r - 342 + 54. Calculate the greatest common factor of r and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30854495 and 300881.\nAnswer: 5677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 39. Sort 2, k, 2\/19, 1\/4 in ascending order.\nAnswer: 2\/19, 1\/4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 19864429.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*70\/(-195) + 23\/299. Which is bigger: z or -1\/9242?\nAnswer: -1\/9242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -16 - 79\/(-9))*6\/14. Let o(h) = -h + 2. Let y be o(6). Which is the third smallest value? (a) -3\/7 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61746959?\nAnswer: 61746959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b + 23. Let s = -63 + 77. What is the remainder when r(s) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 263383.\nAnswer: 3\/263383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*f + 186 + 146, a + 98 = 4*f. Let t = a + 53. Is 7 a factor of 2079\/15 + (-10)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160550959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115643 is divided by 3490.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*a + d = -523*a - 378, 4*a + 42 = -2*d - 12 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p + 9. Let i be m(3). Let l = -18 - i. What is the remainder when 10 is divided by 3 + l*(3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946.2038 less than -102?\nAnswer: -1048.2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*u + 24, 3*l = -3*u - 4 - 26. Let w be (u\/12)\/(16\/(-12)). Which is greater: 3\/16 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-125)\/20)*(3 - (-44)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:35 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 15\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 867 + -859. Let o(i) = 2*i**3 + 2*i + 6. Let a(r) = 3*r**3 + 3*r + 6. Let v(h) = -3*a(h) + 4*o(h). What is the smallest common multiple of v(0) and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 0*i**3 - 2*i**2 - 31*i + i**3 + 2 + 7*i**2. Calculate the remainder when f(-7) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*b**5 - 1243374*b**2 + 3246*b + 3987?\nAnswer: -960*b**3 - 2486748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1416 and 26904.\nAnswer: 26904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244609 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 5*i)*(-2 - 2*i + 2)*(-1380 + 249 + 511)*((-4*i + i + i)*(-2 + 1 - 1) - 6*i + 2*i - 4*i).\nAnswer: -9920*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3\/7, 26.\nAnswer: 3\/7, 2, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -537 - 4*x + 139 + 139 + 127 + 139. Let g(l) = 9*l - 15. What is -6*g(f) - 13*s(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + a**2 - 2*a + 1. Let i be x(1). Let q be i - (-4 - (-3 - -1)). Find the third derivative of -2*c**6 + c**6 + 2*c**2 + q*c**6 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 4. Let l = 33 + -33.2. Which is the closest to 1\/4? (a) j (b) -2\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) -0.06 (b) -12\/13 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.004 and 2243.\nAnswer: -8.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -99345 > -99346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 + 83794130889*h - 68*h**2 - 83794130889*h.\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.9885 + 9. Round r to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1.682433 months?\nAnswer: 0.0014020275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - b - 2 = -0, -5*u + b = -10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14 - 5 - 83*f - 7. Let w be k(-1). Suppose -4*g + 0*z = 3*z - 81, 0 = -4*g + z + w. Is 21 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9943 or -9944?\nAnswer: -9943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*o - 3*j, -5*j + 16 = -4*o - 0. What is the remainder when 93 is divided by (-20)\/12 - o*616\/(-24)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241831 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1575 and 280.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7*g**(-3\/11)\/g)**(-41))**(23\/5) assuming g is positive.\nAnswer: g**(-59409\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7215 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -101?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -2\/139?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31853553.\nAnswer: 3, 311, 34141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**4 - 2 + q**2 + q**3 + 2. Let d(c) = c**4 + 11*c**3 + 3*c**2 - 8*c - 4. Let m(f) = -d(f) + 3*j(f). Let m(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155502\/(-1113) - -140) + 2\/((-28)\/438).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 8. Let y be f(6). Let v be (2 - 1)*(1 + 0). Let h(a) = a**3 + a**2. Let l(z) = 5*z**2 - 2*z - 1. Let d(s) = v*l(s) - 2*h(s). Give d(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -x, 5*s + 4*x = -x + 85. Let u = -12 + s. Suppose 0 = -4*h - u*q + 3*q + 49, 5*h + 4*q - 56 = 0. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71044?\nAnswer: 2, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13973 is divided by 3463.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1020, -1014, -1006, -996?\n\"Answer: g**2 + 3*g - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 + 3*l + 3. Let o(r) = -r**3 - 3*r**2 + r + 3. Let n be o(-2). Let u(q) = -10*q**2 + 8*q + 8. Calculate n*u(a) + 8*x(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 5*z - 7*z - 21.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -2\/3 (c) -11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 + 2. Let z be c(-9). Suppose -153 = -z*p - p. Suppose -4*o - p = -155. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253035 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 + 189. Suppose -z*t = -3*t + 4*t. Solve t*a - 5*a + 15 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-18) + 599\/(-18) and (-2 - 270\/(-88))\/((-2)\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -962, -961, -960?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 - 8791740486.76?\nAnswer: -8791740202.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.7 and -14.36.\nAnswer: -53.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3869, 3894, 3951, 4058, 4233?\n\"Answer: 3*c**3 - 2*c**2 + 10*c + 3858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzqellblxbllbqblxbxe. What is prob of sequence zxbb?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303e86 (base 15) to base 2.\nAnswer: -1000101111011101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 930*y**5 + 4*y**2 - 67.\nAnswer: 55800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**5 + 440*c**4 - 9080*c**3 - 821030*c**2 - 11033085*c - 18861570 = 0.\nAnswer: -91, -21, -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (0 - (-1 - 4)). Solve 12 = -5*k - i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 6\/(-3) + -2. Let a(m) be the third derivative of m**5\/30 - m**3 - 8*m**2. Does 14 divide a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**8\/13440 + k**7\/3360 + k**6\/2880 + k**3\/3 - 7*k**2. Let v(l) be the first derivative of p(l). What is a in v(a) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 6*r. Let s(u) = -u**3 + 4*u**2 - u. Let w be s(4). List the prime factors of a(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 99?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*s - 135 + 1565. What is the smallest common multiple of 132 and s?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3038 and 16430?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8646*q - 307. Is z(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -61*v + 67*v. What is the second smallest value in v, 0.2, -3\/20, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 4*u - 2*u = 0. Suppose z + 4*z = 10. Solve -f + z = -u*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -14*j - 14. Suppose 7*l + 13 + 8 = 0. Let m be r(l). Suppose -5*v + 448 = -3*v. What is the highest common factor of m and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s - 7. Suppose -2*p + 3 = 7. Let f(o) = o**2 + 2*o + 3. Let u be f(p). Suppose -2*j + u*j = -5. Give r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0433 greater than or equal to -672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:06 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p - 279. Let f be d(-7). What is f rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8*a**4 + 99*a**3 - 97*a**3 + 11*a**4 + a**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*78\/(-52)*(8\/18)\/(-4)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1845*a**2 - 8*a + 11. List the prime factors of d(-2).\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/29537955?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-75))\/(4 + 42\/(-10)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3873*u = -3852*u + 7808*u - 4980 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**4\/4 + 5*t**3\/3 - 2*t**2 + 7*t. Suppose 4*b + 19 + 1 = 0. Is 12 a factor of o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11662093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/104*(-8 + (-280)\/(-30))*18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*(-4)\/(-17). Let f be 5*(66\/957 + ((-248)\/(-116))\/(-2)). Which is the second biggest value? (a) 1\/6 (b) f (c) u (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 1323\/4*u**2 - 40*u - 41\/8*u**4 - 399\/4*u**3 - 3\/40*u**5 + 0. Factor t(j).\nAnswer: -3*(j - 1)*(j + 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 29*z + 24 = 0. Calculate the lowest common multiple of 52 and z.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m - 13 - 4 = -81. Suppose 9 = -4*j + 1. Put j, m, 1, 53 in descending order.\nAnswer: 53, m, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115.876195 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, n: 16, e: 1}. What is prob of sequence kke?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 1412 and 982 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -298 - -297.6. What is the smallest value in 0.7, s, 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -127*r - 768. Determine f(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -179963, -359853, -539733, -719603, -899463?\n\"Answer: 5*d**2 - 179905*d - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2295*i**2 + 4*i - 20. Let w(r) = 6882*r**2 + 11*r - 55. Give -11*d(q) + 4*w(q).\nAnswer: 2283*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y - y + 5*y)*(-3 - 1 + 6)*(2*y - 20*y - 20*y) to q + v*y**2 + f*y and give v.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 138*b + 1418. Let t be z(-10). What is the greatest common divisor of t and 10336?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*d + 1200016, i + 2*d - 231425 = 8567. Round i to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 325084444, 325084445, 325084446, 325084447, 325084448?\n\"Answer: x + 325084443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 - 23*y**3 + 37*y**2 - 17*y = 0. Calculate y.\nAnswer: 0, 1, 17\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*r + 12 = 0, -2*u + 3*u + 3*r = -10. Suppose -3*m + 3*f + 106 - 34 = 0, u*f = m - 28. Suppose 4*k - 52 = -m. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 7527520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4 = -0*t, -4*n - t + 2 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405573.685 rounded to the nearest 100?\nAnswer: 405600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10525, -21052, -31577, -42100?\n\"Answer: n**2 - 10530*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2000212 (base 3) to base 7.\nAnswer: -4214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = -37*t - 24. What is the second smallest value in 0.3, 4, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.034.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -84060 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 4. Let f = -3 - 6. What is the units digit of ((-6)\/m)\/(f\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/(((-8)\/6)\/(92\/(-690)*-5))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/23)*x**(2\/17))\/(x**(1\/6)*x\/x**(-5)) assuming x is positive.\nAnswer: x**(-14293\/2346)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 7) to base 2.\nAnswer: 1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 - 2*y - 1 + 2*y. Suppose 4*s + 2 = 3*i, 3*i - 8 = -411*s + 409*s. What is v(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34096*h**4*l - 4*h*l - 113*h + 28*l - 2 wrt h.\nAnswer: 409152*h**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 572 = -0*b. Let i be (-2)\/(-5) + b\/(-65). Let f(a) = -a**3 - 5*a**2 - 2*a + 2. What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*8\/(-2)*40\/(-5). Let g = r - -136. Solve i = 9*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {g: 1, f: 1, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:37 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*h**4 + 135 - 178*h**4 + h**2 - 134 - 103*h**4 to the form w*h**2 + i + z*h + a*h**3 + t*h**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5278977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1458\/5, 3\/2?\nAnswer: 1458\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o + q - 12769 = 0, -q = -5*o + 15968. Factor -315*i + 42*i**2 - 449 + 134*i - 407*i + o - i**3.\nAnswer: -(i - 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177144 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2196 - 2188. Solve 30*i = v*i - 66 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (1 + 4 + -5 + 18) - -44) + 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (174\/10)\/(-68 + (-62744)\/(-920)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 44 = y, -71 = 4*h + 5*y + 29. What is the units digit of (462\/15)\/((-8)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -68.2756 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times -24433433?\nAnswer: 46423522.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1182 + 1182.1. What is the third smallest value in 1\/4, 0, k, 0.036?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -45, -70, -95, -120, -145?\n\"Answer: -25*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-2)\/4 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 165, 323, 461, 567, 629?\n\"Answer: -2*b**3 + 2*b**2 + 166*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-6)*l**(-11))**(-4\/13))**(-43) assuming l is positive.\nAnswer: l**(-2580\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1*-1 - -3. Suppose t - d = 22. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h - 5 = -4*o, -5 = -5*h + 5*o. Suppose 4*i - 8*i + 4 = 0. Suppose -5*t = -y + 19, -4*y + 4*t + 32 = y. What is the nearest to i in -1\/3, y, h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.62.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, -208, -1060, -2808, -5752, -10192?\nAnswer: -16428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 82806349 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49650 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405874 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 3 = -8*r. What is the third smallest value in 5, 0.3, r, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 20. Let a = 187 - 193. Let m be l(a). Solve -3*d + 10 = -m*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 2*v + 3*a - 10, -a = -4*v - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4\/2 + 59*j**3 = 0. What is j?\nAnswer: 0, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d + 5*d + 18*d + 6*d - 12*d.\nAnswer: -41*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*v**4 - 552*v**3 + 372*v**2 + 152*v.\nAnswer: 4*v*(v - 19)*(v - 1)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*m - 5 + 23 = 0, 5*w - 26 = -2*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1757 + 723335?\nAnswer: 725314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10317543 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = 3*g + 249. Let p = g + 171. Put p, -6, 3 in ascending order.\nAnswer: -6, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -3 + 0*h**2 + 1\/16*h**4 + 1\/6*h**3 - 1\/20*h**5 + 0*h. Determine g so that a(g) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 3, 11748, -80 in descending order.\nAnswer: 11748, 3, -57, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 117*t - 2944. Calculate p(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.111, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*m = -2 - 2, 2*k - 3*m - 13 = 0. Suppose 4 + k = 3*r + 3*j, r - 5*j - 12 = 0. Calculate the remainder when 20 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54613128 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*g + 82*g - 19 - 21 - 24 with respect to g.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in 2\/93, 0.1, 1, -4.4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4.5 (b) 1518 (c) 2\/7 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 365, 5, 41 in increasing order.\nAnswer: 5, 41, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 5)*(-3 + 2 + 10)*(-2*p + p - p).\nAnswer: 72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.93 - -18.9. Which is the second smallest value? (a) 0.3 (b) g (c) 3\/2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32\/77 - -3\/11. Let t = 9.092 + 0.108. Let u = -4.2 + t. Which is the second biggest value? (a) 3 (b) u (c) -1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((36\/(-18))\/(-4))\/(-1). Let c = 0.3 + -0.6. Sort -0.06, q, c in ascending order.\nAnswer: q, c, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v**2 + 130975*v - 5095535 wrt v.\nAnswer: 6*v + 130975","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 20 = 4*n. Let w(u) = -7*u - 3. Suppose -3*v + 1 - 19 = -z, 15 = -5*v. Let k(f) = 3*f + 1. What is n*w(p) + z*k(p)?\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 10:48 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - x)*(3*x - 18 - 22 + 40).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52077.\nAnswer: 3, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 11*l**2 - 11*l + 15. Let y be v(-10). Let q = -2035 - -2085. What is the greatest common factor of y and q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u + 343. Let f(b) = -b**2 - 8570. What is d(f(a))?\nAnswer: -a**2 - 8227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/120 - 3*s**5\/20 + 4*s**3\/3 - s**2 - 4*s. Let o = 3 + 6. Let q be j(o). Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13038 + 13039. Suppose 5*y - 10 = -0*y. Let d be 2 + 6*y\/(-9). Do d and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**4 - 50*t**3 + 545*t**2 - 850*t = 0.\nAnswer: -17, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -8\/7 (c) -4 (d) 0.3 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 16 - 16 - 7 + 2*q**2 + 47*q + 11*q to the form c*q + p*q**2 + h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 times 532?\nAnswer: 27.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 26 - 2. Let z(l) = -l**3 - 8*l**2 - 3*l - 7. Let v(o) = 2*o**3 + 17*o**2 + 6*o + 13. Let q(b) = 2*v(b) + 5*z(b). What is the units digit of q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.092966 - 2.189026. Let t = a - 28.9. Round t to four decimal places.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44442663625 + 5?\nAnswer: 44442663633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3 - 2. Let h(n) = 1 - 2*n**2 + 4*n**2 - 4*n**2. Calculate h(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 + 1164 = 18*u. Calculate the greatest common factor of 2058 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13))**2 + -1 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181990385*f**2*q**6 + 141*f**2*q**2 + 40*f**2*q - 5*f**2 - 15*f*q - q**2 + 7*q wrt q.\nAnswer: -21838846200*f**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-36)*3\/(36\/(-168))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670950.\nAnswer: 2, 5, 53419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -321824132688+759\nAnswer: -321824131929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*q = 17, -i + 14*q - 10*q + 11 = 0. What is the highest common divisor of 115 and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 53e?\nAnswer: -53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**7\/56 + 3*u**6\/20 - 3*u**5\/4 - 75*u**4\/8 - 125*u**3\/8 + 264*u. Find k, given that m(k) = 0.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 42 = -3*s. Suppose 4*j - s = -2. Solve -j*n + 4 = -2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 1\/9, 0?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3. Let j be d(3). Suppose -2*w = -j*w + 12. Suppose -5*s = -w*o + 15, 5*s + o - 6*o = -25. Solve -2*l - 4 = -s*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -65 + 55. Let u = -0.004 - -45.004. Let i = 4.02 + -0.02. Which is the third smallest value? (a) u (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 32*g - 78.\nAnswer: -2*(g - 13)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52610, -53282, -53966, -54668, -55394, -56150, -56942, -57776?\n\"Answer: -d**3 - 665*d - 51944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 493554 (base 11) to base 12.\nAnswer: 317906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b - 6*b + 2*b**3 - 16*b**2 + 9 + 4*b - b**3. Let u be i(16). Suppose -8 - u = -y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khkh when four letters picked without replacement from {l: 2, h: 8, k: 4}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/96 + 6\/(-16)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13447684 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of u**5\/60 + u**4\/6 + u**2. Let f be r(-4). Let o(k) = f - 1 + 0. Let m(b) = -b + 3. What is -m(c) - 2*o(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7552833.\nAnswer: 3, 2517611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 4*j - 52. Let k(a) = -2*a**2 - 6*a + 52. What is -4*k(c) - 6*o(c)?\nAnswer: 2*c**2 + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*g**3 + 708*g**2 wrt g?\nAnswer: -1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*g + 36 = 89*g. Put g, 4, 2 in increasing order.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -860, -815, -770?\nAnswer: -725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 9. Let v be z(8). Let t(d) = d + 1. Let q(k) = -5*k + 1. Let w(n) = v*q(n) - 6*t(n). Suppose 4*r = -0*r. Determine w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q. Let y(k) = -1934855*k**2. Give v(y(f)).\nAnswer: -1934855*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2819*t - 897*t - 58480 - 133800 = -1186*t for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5301?\nAnswer: 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - w + 2*w)*(-107 + 65 + 57) + (0 - 1 + 3)*(-w + 2*w + 0*w) + 116*w - 107 + 107 to l*w + g and give l.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 + o**2 + o - 10. Let m(z) = -6*z**3 - z**2 - z + 11. Calculate -6*m(y) - 7*w(y).\nAnswer: y**3 - y**2 - y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) -3 (b) 2\/3 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let w be o(6). Is (-15 + 1)*(-123)\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -5.758.\nAnswer: 6.3338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -387 + 384. Which is the nearest to -1? (a) n (b) -1\/2 (c) 0.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - -0.3. Suppose 3 = 2*w + 5. Let p be -3*(-2)\/(-30)*w. Put 1\/6, p, t in ascending order.\nAnswer: 1\/6, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.226 + -0.226. What is the second biggest value in 1\/5, -5, -0.1, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -268.999999199 + 269. Round l to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150.17 - 150.44863. Round c to 3 decimal places.\nAnswer: -0.279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -174, -636, -1522, -2970, -5118?\n\"Answer: -23*j**3 - 5*j**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, 5, -3, 39, 7 in increasing order.\nAnswer: -17, -3, 2, 5, 7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145723?\nAnswer: 1145723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95.2 + 95. What is the third biggest value in -5, j, 2, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - -11) + -6 - 6. Let s be -2*3*2\/(-4). Solve 2*r = r - s*m - 17, -j*r = 2*m + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 - 2*v - 2. Let d(m) = -m**2 + 8*m - 8. Let q be d(1). Let k be s(q). Put k, -5, 2 in decreasing order.\nAnswer: k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-24) + 8\/72. Do g and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 + r + 2. Suppose 5*n + 7 = -g + 1, -5*n = -3*g + 22. Give l(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21460932 divided by 46\nAnswer: 466542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmcr when four letters picked without replacement from cmanrrrmrlcmrccrln.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 6*u**2 - 6*u + 11. Let j be b(-7). Suppose 0 = -5*x + 3*x + 5*g, -12 = -4*x + j*g. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 2, m: 1}. Give prob of sequence pm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21433?\nAnswer: 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.03887539 to 3 dps.\nAnswer: -15.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*12\/(672\/4)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13232245 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6254 and 1888.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7388428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2364*y + 7102. Calculate o(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0 - 4 = -q, -4*j = 3*q - 12. Let l be 0 + 14\/2 + (14 - 14). What is the fourth biggest value in -1\/2, l, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, a: 2}. Give prob of sequence aqq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Let i(u) = u**3 + u**2 - 6*u - 5. Let o be i(-2). Solve 3*b + g = -o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (0 + 2\/3). Let z(o) be the third derivative of -o**6\/120 + o**4\/24 - 3*o**2. Let n be z(1). Which is the nearest to 2? (a) d (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 10\/7, 452\/9, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 4236?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, -1, -36\/217, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2468, -9912, -22314, -39668, -61968, -89208?\nAnswer: -121382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 9*z**2 - 9*z + 8. Give o(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 22*o + 66. Let b be d(-3). What is the remainder when 32 is divided by b\/(-3) - 105\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6)*z)\/(z*z\/z**(2\/11)))**25\/((((z\/z**(-5))\/z*z*z)\/z)\/z**(-1)*(z**(-1))**(1\/8)) assuming z is positive.\nAnswer: z**(-15605\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -110287, 5, 2 in decreasing order.\nAnswer: 5, 2, -1, -110287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2636, -5271, -7906, -10541?\n\"Answer: -2635*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132958 (base 10) in base 7?\nAnswer: 12426041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 14*m**2 + 2*m + 32. Let h be b(-14). Let j be (-2 - -4) + 2\/1. Let t be ((-6)\/j)\/(-1)*2. Solve -t*l + 6 = 5*z - 9, -h*l - 2*z + 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-4\/7))\/(t*(t*t**(-2))\/t))**(-44) assuming t is positive.\nAnswer: t**(-792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 139*c**3 - 1 + 0.\nAnswer: -139*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17783 > 17783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99\/2 - -49. What is the nearest to 0.1 in -5\/4, o, -4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2. Let v be z(1). Let q = 192 - 182. Suppose -4*u + 35 = -5*f, -f + q + 12 = 5*u. What is the third biggest value in -3, u, v, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**5\/20 - a**4\/4 - 5*a**3\/6 + 5*a**2\/2 - 4*a. Suppose -5*q + 2*g = -2*g - 36, 2*q = -g + 4. Calculate p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/9)\/(4\/12). Calculate the highest common divisor of p and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 24*s**2 - 40*s + 4. Let f be z(6). Let n = 897 - f. List the prime factors of n.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -1)\/(-4)*-3 + 0. Which is the closest to 0? (a) 0 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 1, r: 1, e: 1, w: 1, s: 1}. Give prob of sequence wre.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = s, -s = -i + 3. Let h be (i\/12)\/(1\/6). What are the prime factors of 23\/h + 2\/(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 13*r**2 + 18*r - 15. Calculate p(-11).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 4*v - 7. Let k be d(5). Let o = -26 + k. What is the least common multiple of o and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*p**2*z**3 + 2*p*z**3 + 18*p*z + 210*z**3 + 6*z wrt p?\nAnswer: 6*p*z**3 + 2*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-30))\/((-1827)\/696).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*h**3\/7 + 60*h**2\/7 - 6*h\/7 - 36\/7 = 0. Calculate h.\nAnswer: -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7864028 and 56.\nAnswer: 440385568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 171307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 + (-7546)\/147)\/(-20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1225830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -38, -2 in descending order.\nAnswer: -2, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-128)\/(-40)*(-5)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.58 - -12.4551. Round d to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 - 0.8. Let c = -1 - 0. Let b = -1.5 - c. What is the third biggest value in b, -1\/4, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31514 - 31520. Let r(l) = 8*l + 81. What is r(a)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21021 (base 4) to base 10.\nAnswer: -585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7581714169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22342 (base 9) in base 5?\nAnswer: 433421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -0*m. Suppose 400 = 4*h + m*d, -5*d = -h - 3*h + 372. Let u = h - 51. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o + 8*o - 9*o.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-164840)\/(-120) - (15\/9 + 0))*1 is divided by 92?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h + 60 = -33. Solve 5*s + h*n - 34 = -9, -4*n = s - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5 - 15*k**4 - 47*k**3 - 33*k**2 = 0. What is k?\nAnswer: -11, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-50)*(o\/(o**(1\/5)*o))\/((o\/(o\/(o\/(o*(o*o*o**(1\/4))\/o))))\/o) assuming o is positive.\nAnswer: o**(41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2)\/(135 + (-18928)\/140 - (-278)\/40)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k - 0*k. Suppose k = 5*j - 63 + 23. Find the third derivative of 19*v**4 - 2*v**2 - 22*v**2 + 6*v**2 + j*v**2 wrt v.\nAnswer: 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3, -10.7, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:46 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u. Let r(j) = 292*j**2 + j. Calculate l(r(y)).\nAnswer: -876*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7016 + -4?\nAnswer: 7012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 5484190.\nAnswer: 5484190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + t**3 - 2*t**3 + (3*t - 3*t + 2*t**2)*(2*t + 1 - 1) + 2*t**3 - 3*t + 3*t + 2*t**3 - 4*t**3 + 4*t**3 - 4 - 3973*t**3 - 7 + 3997*t**3.\nAnswer: 30*t**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (1 + -2 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*c**2 + 416*c**2 + 395*c**2 - 324 + 322*c = 0 for c.\nAnswer: -162, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4790 is divided by 160.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 426777.1 millennia to centuries.\nAnswer: 4267771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*p = 100, 73 = -3*h + 6*h - 5*p. Let f(z) = z - 18. Let l be f(9). What is the units digit of (-268)\/l + h\/72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 0, 5\/16, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*5\/((-20)\/(-2)). Differentiate -10 + 18 - 7 - 9*g**j wrt g.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -214*n + 4. Let o be c(-4). Suppose o = 5*v - 5*j, -187 = -v - 3*j - j. Suppose 6*z = z + v. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4820090 less than 0.13111?\nAnswer: 4820090.13111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2)*6)\/(sqrt(2) - (sqrt(2) - -1*sqrt(2)*-2)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-920)\/(-22) + (-476)\/(-77) + -6. Calculate the highest common factor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/8 - 3\/2. Let p = t + 7. Let w(r) = 1 - 3*r + 0 + 6*r - p. Let a(c) = 4*c - 5. What is -5*a(i) + 6*w(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1985495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147361.5879 + -2494.0184. Let x = c + 149780.6. Let j = -75 - x. Round j to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331212 (base 4) to base 3\nAnswer: -12102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 214965400 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -t + 2*c, -c - 6 = 4*t + 13. Let q(h) = h**3 + 4*h**2 + 4*h + 3. Let f be q(-3). Let b be t\/(-9)*(f + 6). Solve 0*u - 20 = -b*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 4*o + 1. Let y be x(5). Suppose 10 = 2*j + 4*d, 30 - 6 = 3*j - 3*d. What is the smallest common multiple of j and -1*(-3)\/(y\/8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 13*i + 692. Let p = -115 - i. Calculate the remainder when p is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 85\/372 - -2\/93. What is the closest to q in 0.1, 0, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 0*f**2 + 47\/3*f**3 + 0*f + 62. Let v(u) = -4*u**2. What is v(b(d))?\nAnswer: -8836*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 462619953 by -75333.\nAnswer: -6141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 19040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 5, -3, -1015 in descending order.\nAnswer: 5, 3\/4, -3, -1015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 18*z - 2. Let s be y(18). Let b(i) be the third derivative of -7*i**4\/24 + i**3\/3 - i**2. What is the least common multiple of b(s) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 23*z - 3. What is q(-23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*31.055.\nAnswer: 93.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 186070 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1454762 by 4.\nAnswer: 727381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 25676*n + 2302740.\nAnswer: (n - 25586)*(n - 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011675 to 7 dps.\nAnswer: -0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 3. Let j be (-27 - -2)*(0 + p). Does 11 divide -2 - j - (-1 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57657 is divided by 254.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -1804*v + 1801*v + 4*m, -29*v = -m + 70 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (0 - 1) - (2 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22331022 - 2300?\nAnswer: -22333322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125147 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12597 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -22.8722?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 f, and 1 a when four letters picked without replacement from hffdfffhfaddfhhfzzh.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 0 + 1032566*v**3.\nAnswer: 1032566*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -93031*0.5\nAnswer: -46515.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/3 - 160\/21. Let g be (-2368)\/(-192) + 9 + -20. Which is the second smallest value? (a) -0.1 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -42. Suppose 7*a + 3*i - 91 = 2*a, x*a - 49 = 3*i. What is the highest common divisor of a and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104849 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**2 + 106*w + 13. Let p be f(9). Let m = 6 + -10. Which is the second biggest value? (a) m (b) 1\/6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*2)\/sqrt(3).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -246\/5? (a) -0.09 (b) 0.3 (c) -3\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-10))\/(10*1\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 + 22875*t**2 + 183819*t - 4785891 = 0 for t.\nAnswer: -19, 11, 7633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3517 = -15*j + 11918. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 - 4*u**2 + 4*u + 4. Let k be d(-2). Suppose -4*h - 3 - 3 = 5*v, h = -k. Let s(i) = v - 2*i**2 + i**2 + 2*i - 3 + 8*i**2. What is s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 46 - 54. Solve -a - t = 2*t + m, 4*a + 2*t = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2078.99 + -2088. Let m = 12.9 + u. Round m to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25957 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -212102011 (base 3) to base 7\nAnswer: -100522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(1 + sqrt(242) + sqrt(242)))**2 + 3 + (sqrt(242)*2 + sqrt(242))*1.\nAnswer: -55*sqrt(2) + 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) -29 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r - 1074*r - 6798*r.\nAnswer: -7814*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**2\/9 + 2728*i\/9 + 465124\/9 = 0.\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**2 + 2649145*f - 5298294 = 0.\nAnswer: -2649147, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2916999 kilometers to micrometers.\nAnswer: 291699900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.42412 to 2 dps.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -239937 in decreasing order.\nAnswer: 1, -4, -239937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -718.4 + 38.7. Let c = b + 709. What is c rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758 (base 10) in base 7?\nAnswer: -5061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11.96. Let g = t + 0.54. Which is the second smallest value? (a) 0.1 (b) -3\/8 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**5\/5 + 68*i**4 + 1032*i**3\/5 + 1036*i**2\/5 + 346*i\/5.\nAnswer: -2*i*(i - 173)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 241013 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117778492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/795204405?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**1*d)*d\/((d*(d\/(d\/d**(-27)))\/d*d)\/d))\/(d\/d**2*(d\/d**(-41))\/d))**(-16\/7) assuming d is positive.\nAnswer: d**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -0.07. Let v = 3 - 3.01. Is v smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 405959.3 milliseconds to nanoseconds.\nAnswer: 405959300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 222660 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 118*j**2 - 13 + 375*j**2 - 126*j**2 - 119*j**2 in the form t*j**2 + i + n*j and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = v + 1, 21 = 4*v - i - 0. Let x(m) = m**3 - 7*m - 5. Let b be x(-2). What is the greatest common divisor of v and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y. Let w(p) = -3*p. Let x(f) = -v(f) + w(f). Let k be x(3). Let s = k + 31. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2*36\/24. Suppose 3*o - v = -b, -b - 5 = -9*o + 4*o. Solve -5*t - 11 + o = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(0 - 4\/(-4)). Find the third derivative of 5*d**3 - 5*d**a - 2*d**2 - 9*d**5 wrt d.\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.5888 to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (28623\/(-14))\/29*(0 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 260, 329, 402, 479, 560, 645?\n\"Answer: 2*a**2 + 63*a + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 k when three letters picked without replacement from llckpplkjjppjxppp.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2010? (a) 0 (b) 2\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 120?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fie when three letters picked without replacement from gfevi.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**3 + 582*p**2 - 4512*p + 8928 = 0?\nAnswer: 4, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168 - -337\/2. What is the nearest to -2\/5 in -0.5, 2\/51, a, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 546*o + 27*o**5 - 546*o + (-5*o**2 + 4*o**2 + 3*o**2)*(-o**2 + o**2 - o**3) - 4*o**5 + 3*o**5 + 0*o**5.\nAnswer: 24*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from {w: 2, x: 1, h: 3, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-3)*(2 + 3)*-4. What is the third smallest value in -0.4, -1\/4, n, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/((-25)\/5))\/((28\/12)\/(504\/(-216))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from wbwbbwbywwywjy?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1836*q**3 + 2*q**2 + 7*q + 4. Let t be n(-1). What is the highest common divisor of 15 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 7:34 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10796.7 + -10797. Sort d, 0.5, 2\/9, -62.\nAnswer: -62, d, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i**3 + 0 - 7\/2*i**2 - 9*i.\nAnswer: i*(i - 9)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3\/5, -5, -6 in descending order.\nAnswer: 3\/5, 0.2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d**2 - 2*d - 4. Let o(y) = -5*y**2 - 2*y - 4. Let n(k) = -6*o(k) + 7*w(k). Let g be -1 + -8 - (-16 + 18 + -7). What are the prime factors of n(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-2))\/(12\/(-8)). Suppose -o = -5*o - 4. Let s be 3\/(63\/23) - 1. Which is the closest to o? (a) j (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2989, 2991, 2993, 2995, 2997?\n\"Answer: 2*x + 2987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15676 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*r = 350*r + 207. Solve -46*w = -r*w - 24*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5380*o. Let j(y) = 62*y**2 + 6*y. What is r(j(x))?\nAnswer: 333560*x**2 + 32280*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 - 8 = 0. Let p(x) = 2 - x + 2 - o. Let b be p(1). Solve 3*s + b*s = -15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/16)\/(2 - (-27)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (2 - -1)) + 47\/((-940)\/(-100320)) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-52)\/10)*(35\/(-7))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 2. Let p(u) = 51*u + 15. What is -p(j) + 5*r(j)?\nAnswer: -46*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*d + 252*d = -253*d - 117 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52355 is divided by 1687?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 217*a**2 - 356*a - 175. Determine w(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*18\/24*1\/1. Suppose -i + b*i = 2. Let g = -0.3 + 0.2. What is the nearest to g in i, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + sqrt(1700) + -1)**2 - ((-1*sqrt(170) - sqrt(170)) + sqrt(170))\/sqrt(10)) + -1 + 3*sqrt(612).\nAnswer: -21*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q**2 - 155. Let h(p) = -247505*p**2 + 495006*p**2 - 247502*p**2. Calculate h(y(j)).\nAnswer: -81*j**4 - 2790*j**2 - 24025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = -2057 - 1287. Let q = -171 - b. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 249*x + 2. Suppose -8*g = -21 - 3. Suppose 2*m + 15 = 5*l, -g*m = 3*l + m + 17. Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 0.3 (c) -4 (d) -2\/11 (e) -2 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12193 and 4539?\nAnswer: 621843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 5. Let o = -3 + 7. Let v be p(o). Suppose -2*g = v*g - 60. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 26 = 6. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-24)*54\/(-36)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1360\/(-170))\/(7\/(-2))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 781.023 to the nearest integer.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-150) - (18\/(-15) - -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 45*z = -54*z - 33, 3*z + 13 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 10. Let f be r(5). Suppose f = 4*b - 7*b + 12. Let m(s) = 3*s - 3. Calculate the least common multiple of 26 and m(b).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 200022?\nAnswer: -200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -11417?\nAnswer: 11416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230188133*d**3*z + d**2*z + 139096146*z wrt d?\nAnswer: 1381128798*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17653*x**5 - x**2 - 43744 wrt x.\nAnswer: -1059180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4060879 - 28*i - 4060879.\nAnswer: -28*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3400001 (base 6) to base 7.\nAnswer: 1311520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 193*l + 2836. Give y(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 659570*b\/3 - 108758146225\/3.\nAnswer: -(b - 329785)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(968)*-2 - sqrt(968))*4)\/(((-2*sqrt(128))\/sqrt(4))\/(sqrt(288) + sqrt(288)*-1 + sqrt(288))))**2.\nAnswer: 2822688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 27 = -f + 37, 51*f + 4*b + 260 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 1.4. What is the biggest value in 1, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**7\/15 - c**3\/6 + 14*c**2. What is the derivative of s(q) wrt q?\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*l + 2 = -78*l + 4*y, 4*l - 11 = -7*y for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 3*l, 11 = -4*q + 2*l + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -84, -129, -174, -219?\n\"Answer: -45*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010011111 (base 2) to base 16.\nAnswer: -69f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5.54, -7, -2\/207.\nAnswer: -7, -5.54, -2\/5, -2\/207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 93. Let w(y) = -1303*y - 30. Let b be w(q). Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135201 divided by 45067\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.051? (a) -4010 (b) 0 (c) -5 (d) 1 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t. Let k(i) = -140*i**2 - 26*i + 3. What is k(x(v))?\nAnswer: -560*v**2 + 52*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2576 and 28952?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -20*s - 20. Let y(q) = 7*q + 7. Suppose -21 = -4*w + f, 8*w + 3*f - 7 = 6*w. What is w*i(k) + 14*y(k)?\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -85 (c) 1\/2 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(22*(-9)\/(-18))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2584375506 to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2370721171.159952 - 2370743184. Let a = q - -22013. Let l = a + -0.16. What is l rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-18))\/(8\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + k + 10. Let g be h(0). Let l be 28*(g\/4)\/5. List the prime factors of (-2 + l\/3)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 15*w**2 + 4. Let n be f(-15). Calculate the greatest common divisor of 12 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**5 + x**5 - x**5 + (-3*x**4 - 2*x**4 + 3*x**4)*(5*x + x - 5*x).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Let z be (-4)\/16 + -9 + 87\/12 - -6. Sort 0, z, -5, s in descending order.\nAnswer: z, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -177*j - 21. Let q(s) = 9*s + 1. Let a(o) = -42*q(o) - 2*w(o). Let p(i) = -18*i. Give a(p(t)).\nAnswer: 432*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/882 and -89\/114.\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**1\/z)\/z)*z**6)\/(z**(-2)\/z)**(-1\/20)*z**(2\/11)\/(z*z*z**(2\/3))*z\/z**(2\/3)*z*z\/(z*z*z**(-5)*z*z) assuming z is positive.\nAnswer: z**(5741\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -79*w - 103. Let k be i(-9). Calculate the greatest common factor of 32 and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6244 - 6166. Calculate the highest common factor of f and 1248.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 38, 62, 96, 140, 194, 258?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 40*z + 1.\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 36. Let x be 1\/(-18)*30\/z*-2. Let r = 4 + -7. Which is smaller: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -90.69065\nAnswer: -45.345325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -v - 2, 4*p - 90*v - 37 = -85*v. Sort p, -32, -9 in decreasing order.\nAnswer: p, -9, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**7\/5670 - 2*k**6\/405 + k**5\/18 - 161*k**4\/24 + 30*k**2 + 4*k. Let v(m) be the second derivative of t(m). Factor v(y).\nAnswer: 4*(y - 5)*(y - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -79. Suppose y = -i + 2*b - 19, -7*i + 2*i - b = 139. Which is smaller: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w + 26. Suppose -5*r - 5 + 25 = 0. Let q = w - r. Solve i = -4*k + 5 - 2, q = 3*k + 3*i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppaapsiapbpbsa. Give prob of sequence saia.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 1031 - 1136 = 6*f, 5*f + 87 = 3*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 776764 divided by 194191\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 30. What is l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8210 and 830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/9*u**2 + 8\/9*u - 2\/9*u**3 - 16\/9 = 0. Calculate u.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -20232*k - 182564. What is l(-9)?\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4423*d + 4424*d + i - 4, -2*d - 5*i = -2 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((64\/(-20))\/(-2))\/(8358\/26865)?\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 + 10*f**2 + 164*f - 731. Calculate g(4).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3339)\/7632 + (-3108)\/64\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-12)*j)\/(((j\/((j**(-20)*j)\/j))\/j)\/j))**2 assuming j is positive.\nAnswer: j**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18\/221? (a) 2 (b) -1 (c) 5\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*g - 27, -g = 4*a - 1 + 24. Is (-1)\/2*(-8075 - g\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4660.66 rounded to the nearest 10?\nAnswer: -4660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-9))\/((-3)\/(-12)*20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 f, and 1 x when four letters picked without replacement from pxhppcmfchmf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 87 + 102 = 0. What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/60764620 and -53\/19205?\nAnswer: 60764620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -0.5 (c) -0.01 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**2 - 9*w + 1. Let b(y) = -y**2 + y - 1. Let t(c) = 6*b(c) + o(c). Calculate t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*h - 10*h + 502 - 52 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvkdvwvdtdx. What is prob of sequence vtk?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c*((c*c**(1\/3))\/c)\/c)**11\/(c**5\/(c**(-5)*c))*(c*c\/(c**(-1)*c)*c)**(3\/46)*((c*(c*(c*c**(1\/4)*c)\/c)\/c)\/c)**29 assuming c is positive.\nAnswer: c**(14659\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -128\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.4 (c) 0.1 (d) 2 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 4. Suppose -4*z + 26 = -z + 4*t, 5*t = 4*z - 45. Let o be p(z). Let b = -19 + o. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 - 2*i - 3. Let d(w) = -2*w**3 + w**2 - 2*w - 4. Let z(f) = -2*d(f) + 3*t(f). Suppose 2*k = -0 - 2. Determine z(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22 + 2 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/2)\/((-1)\/(-2)). Let f(a) = -a**2 + 4*a + 7. Let v be f(7). Let y be 348\/10 + v\/(-70). What is the greatest common divisor of j and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8430 + 8429.8499976. Let z = 0.15 + x. Round z to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42640*k**4 + 109024*k**2 wrt k.\nAnswer: 1023360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9*q - 2. Suppose 0 = 2*c - c - 5. Suppose c*x = -3*k - 10, -5*x + 6 - 16 = -k. Give y(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**3 + 186*c**2 + 549*c = 0. What is c?\nAnswer: -183, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/(33\/44). Calculate the common denominator of h - 70\/49 - 187\/168 and -131\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148501 is divided by 16494.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578650.\nAnswer: 2, 5, 71, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*k**6)\/(k*k**(-3\/5)*k*k**(2\/5)*k))\/((k**(-2\/5))**(2\/13)*((k**0*k)\/k)**(-4\/7)) assuming k is positive.\nAnswer: k**(1614\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v - 1. Let l be n(9). Let a = l - -13. Suppose 2*f = -3*p + 44, -a = f - 3*p - 7. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -55 + -15 + 21.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2467.9 - -1.415\nAnswer: 2469.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(2057) + -1)**2 + 1 + -1 + sqrt(17) + 5 + 3.\nAnswer: 45*sqrt(17) + 8233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 140922 (c) -0.4 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4850 by 50.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 5. What is the smallest common multiple of 20 and k(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10153130 and 390.\nAnswer: 30459390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9474*u + 75817. What is n(-8)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -298*d**3*g*i**2 - d**3*g - d**3*i + 3873*d**2*i**2 + 37*g*i + 42 wrt i.\nAnswer: -596*d**3*g + 7746*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {w: 1, t: 1, q: 6, b: 8, u: 3}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 178 - 131. Is s at most 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8 (b) 272 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3)\/r)\/r**0)\/(r**5\/r*r\/r**6)*((r*(r**(-2)*r)\/r)**(-8))**(-11) assuming r is positive.\nAnswer: r**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-15 - (10 - 23))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. Find n, given that -n + r - n + 2*n**2 - 2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 450*i - 37 + 450*i + 37.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 670 + -656 + (-162)\/(-2)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -3*c + 3*t, -2*c + 225 = 2*t + 53. Let x = -79 + c. Suppose -s = -3*j + 196, -x*j - 2*s + 209 = -39. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(396)*1 + -1)*-1)**2.\nAnswer: -48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/2 + 7\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(10\/20*2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 68301*f**3 - 2*f - 68314*f**3.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (97 + -104 + -1 + 18 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 257 + 209 = -3*z for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 58\/(-8) + (-2)\/(-8). Let c(o) = o**3 + 4*o**2 + 3*o + 9. Let d be c(-4). Calculate the lowest common multiple of a + 3 - d - -10 and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + 24 - 24 + (3*i**2 - 4*i**2 + 0*i**2)*(-3 + 4 - 3) - 3*i**2 - i**2 + 6*i**2)*(-i - 2*i - 2*i)*(-1 + 0 + 0).\nAnswer: 45*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d**3\/d)**28\/((d**(2\/3)*d*d*d**(5\/2))\/(d*d\/d**(-3\/5)*d*d*d*d**(1\/4))) assuming d is positive.\nAnswer: d**(6761\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(-4 - -14). Let i(t) = -2*t - 6. Let q be i(-4). Suppose -4 = -q*k - 0. Solve -k*l - 6 = -b*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -1\/6*y**3 - y + 0 + 0*y**2. Let x(r) = -r + 5. Let o(n) = 2. Let d(b) = 5*o(b) - 2*x(b). Give z(d(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 90 - 106 = 5*u - 56, 16*v - 19*v - 2*u = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -55. Suppose -u + 3*u - 3*n = -3, 0 = -3*u + n + d. Solve -5*c - 23 = -q - 5, -2*q - c + u = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357534 divided by -3?\nAnswer: -119178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zulzlbzgfgg. What is prob of picking 2 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147047 + -147045. Suppose 4*m = 4, 14 + 3 = 5*c - 3*m. Let q = c + -3. Solve 3*j + q = -n for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2441 is divided by 203.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3799 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 3.4 (c) -175 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.53 - -0.47. Let f = 2 - 1.6. What is the nearest to -1\/4 in x, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95225 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2954 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160514.\nAnswer: 2, 17, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 3*f - f + (-1 - 3 + 2)*(0*f + 0*f + 2*f) - 13 + 13 - 16*f)*(-21 + 20 + 49 + 12).\nAnswer: -1080*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 241, -587 in ascending order.\nAnswer: -587, -4, 3, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -13*z**2 + z + 5. Let m(n) = 11*n**2 - n - 5. Let a(u) = -6*h(u) - 7*m(u). Calculate the remainder when 326 is divided by a(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12.97. Let h = -2.03 + w. Let l = 330 - 330.5. Which is the biggest value? (a) h (b) l (c) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 13*r**2 - 10*r - 1. Let u be (-6)\/4 + 81\/6. List the prime factors of k(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + 10*j)*(3 - 3 + 2*j) - 17*j + 17*j - 6*j**2 + 6*j**2 - 3*j**2 + j**2 + (-2 - 2*j + 2)*(6*j - 3*j - 4*j) + 0*j - j**2 + 0*j.\nAnswer: 19*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-4\/5))**(12\/5))**(-7\/6) assuming h is positive.\nAnswer: h**(-126\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v + 7 = 291 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(2\/11)))**1)**(2\/69)\/((z\/z**(-2))**42\/(z**(2\/7))**(-1\/17)) assuming z is positive.\nAnswer: z**(-11385058\/90321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 h, and 2 v when four letters picked without replacement from hvlwllwvhwwelfh.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**3 - 2*b**2 + b. Suppose 3*x - x = -t, 5*x - 11 = 3*t. Let a be f(x). Suppose -a*n = -m - 15, -n + 6*n - 35 = -3*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*q - 0*z - 144, -3*q - z = -86. Calculate the greatest common factor of q and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12250\/(-28))\/25 - -18. Let i = -5.7 + 6. Sort -7.3, 1, i, v.\nAnswer: -7.3, i, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8328.053 and 50?\nAnswer: 416402.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 103855610*z**3 - 259184138 wrt z?\nAnswer: 311566830*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 546781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 - -5ac5?\nAnswer: 5aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00743401585 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 911*j**5 - 249*j**2 wrt j.\nAnswer: 54660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7957 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k. Let i(s) = s. Let l(u) = u**3 - 8*u**2 - 8*u - 10. Let x be l(9). What is x*t(w) + 5*i(w)?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {g: 1, m: 2, d: 2, b: 1, r: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3756.576 kilograms?\nAnswer: 3756576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5511 + 5509. Sort -0.3, -4, 0.5, i, -0.07 in decreasing order.\nAnswer: 0.5, -0.07, -0.3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 + 9*k. Let q be p(-6). Calculate the highest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 306213212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1 (b) -18 (c) -315 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -47*k**6\/60 + k**5\/20 + 47*k**4\/12 - k**3\/2 - 689*k**2 + 2. What is x in t(x) = 0?\nAnswer: -1, 3\/94, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z + 24. Let u = -12480 + 18210. Is u\/14 + z\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2736)*-2 + -4 - (0 + sqrt(2736))*-4)**2*-3 + (3*sqrt(2736)*4 - (sqrt(2736) + (2 + sqrt(2736))*-3))**2).\nAnswer: -503412 - 2592*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12.35. Let j = f - -0.05. Suppose -3*h = -5*q - h, 0 = -2*q + h. Which is the closest to 0.2? (a) 1\/5 (b) j (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4959 and 1061739.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -180, -243, -290, -321?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -5*y**7\/42 - y**6\/30 - 17*y**5\/5 + 7*y**4\/6 - y**3\/2 + 7*y**2\/2 - 51*y + 35. Find the third derivative of d(v) wrt v.\nAnswer: -300*v**2 - 24*v - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 228 - 207 + 435.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*c + 1499399 = 324534. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 - -146. Let v = z - -34.00000207. Round v to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10375\/12450*8\/190*-1.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 604767202 to the power of 1\/3, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2206 + 2205.9. Sort 5, 6\/11, x, -3\/4 in descending order.\nAnswer: 5, 6\/11, x, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8201 = -f, 85*x - 87*x + 4097 = -f. Calculate the remainder when x is divided by 255.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(288) - sqrt(288))\/(sqrt(726) + 1*sqrt(726) + sqrt(726))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = o + 3*o - 4*l, -5*l + 41 = 3*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32390596*j + 1 - 1 - 16195353*j - 16195402*j.\nAnswer: -159*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(2)*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20376 = -60*d + 84*d. Calculate the highest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 49. Let q be w(11). Let m(n) = 2*n - q*n + 4*n + 13*n + 2*n. Let j(l) = -4*l**2. Give j(m(v)).\nAnswer: -1024*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*l**2 + 223*l**2 - 2 - 402*l**2.\nAnswer: 39*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 7:44 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-21) + -1 + 8676\/42. What is the highest common factor of 138 and s?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -621 at most 0.54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -36*v + 28. Calculate the remainder when 135 is divided by s(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - 295*v - 130. Calculate q(-73).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32099626?\nAnswer: 2, 13, 19, 181, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 854, 1715, 2576, 3437?\n\"Answer: 861*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 183 and 549.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + -42. Let y = s + -20. Suppose 4*c - 22 = 6. What is the lowest common multiple of c and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.74 + 3.74. What is the fourth smallest value in -0.5, 0.4, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -45*j**2 - 1. Let w(q) = -4*q**2. What is w(a(t))?\nAnswer: -8100*t**4 - 360*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55071 greater than 55071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17599782913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(0 + 10\/(-9)). Suppose -4*u + 384*k = 385*k - 3, -3*u - 5*k + 66 = 0. What is the nearest to -2 in z, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let h = -8.74 - -366.74. Let n = -358.3 + h. What is the biggest value in n, w, 0.3, -0.04?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y - 1. Let d be -2 + -4 + 2 + 3. Let n(r) = -10*r - 6. What is d*n(p) + 6*c(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2, -2, 7 in ascending order.\nAnswer: -2, -1\/2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29080 + -28999.132. Let r = 81 - g. Let m = 14.268 + r. Round m to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 - -66. Sort s, -0.4, 0.4 in ascending order.\nAnswer: -0.4, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 65132 = 5*s + 2*p, 0 = 19*s + p - 309445. Is s a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -7157.\nAnswer: 12\/7157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26970 - 1623*k**2 - 1987*k**2 - 206*k**2 + 26970 to the form y*k + g*k**2 + v and give g.\nAnswer: -3816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + 33*j**2 - 13*j + 19. Determine u(-12).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 255. Give a(-37).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 2, 0.7.\nAnswer: -4, 0.2, 0.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 30. Let x = -165 + 237. Suppose x = i + i. What is the greatest common factor of i and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000096650726 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-36) - 22\/63. Suppose 5*g + 5*z - 22 = -2, 5*z = 20. Which is smaller: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -31.\nAnswer: -23\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 i, and 1 o when three letters picked without replacement from poopgigploggiig?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - l - 414, 2*w + l - 204 = 0. List the prime factors of w.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*o + 4. Let q be 15\/10 + (-2)\/o. Suppose -q*u + 0*u = -220. Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51301 rounded to 2 dps?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/264391 or -1?\nAnswer: 8\/264391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + -446. Let r = 919 + w. Let o = 450.259 - r. What is o rounded to two dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226 and 41069172?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23131 + -4.56.\nAnswer: 23126.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1410, 2855, 4320, 5817, 7358, 8955?\nAnswer: 10620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17204\/918 + (-38)\/2. What is the closest to g in -0.5, 0.1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x + 0 - 5 + 2. Let j(i) = -2*i + 19. Let q(o) = -28*o + 287. Let s(t) = 91*j(t) - 6*q(t). Give -7*d(w) - 3*s(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 - 6*o**4 - 86*o**3 + 342*o**2 - 252*o = 0. Calculate o.\nAnswer: -7, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -3*m + 4, 5*w + 0*m + 10 = m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 79*v - 13. Let a(u) = -u**2 - 6*u + 7. Let w be (-5 + 1\/(-1))*1. Let d be a(w). Let p be o(d). Round p to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.9999848 + 29. Round f to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.1*-0.1.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3260*r - 3151. Is a(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 2*z**2 - 14*z + 39. Let r be v(3). Solve -r = 2*k - 0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60882 is divided by 4345?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860239419.\nAnswer: 1860239419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 49*b - 448 = -27*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 4*y + 107. Let o(r) = r**3 + 7*r**2 + r + 7. Let l be o(-7). Let n be g(l). Suppose -4*x = -3*x + u - n, 0 = -5*u + 10. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**11\/9240 - v**7\/420 + v**4\/2 + 4*v. Let s(z) be the third derivative of f(z). Find the third derivative of s(l) wrt l.\nAnswer: 720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -19, 0, 5 in increasing order.\nAnswer: -19, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 13*a - 1, 2*m - 4*a - 8 = 0. Let c(g) = -g**3 + 9 + 4*g**2 + 2*g**3 + 2*g**2 + g**2 + 7*g. Let t be c(-6). Put t, 13, m in descending order.\nAnswer: 13, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -67*b**3\/6 + 16*b**2 + 2*b + 3. What is the derivative of t(c) wrt c?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 33 = 5*a, 10*i + a + 5 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 + 3*n + 57. Let s be z(-11). Let o = -869 + s. Sort 0.5, -2\/11, o in descending order.\nAnswer: o, 0.5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - x + 3*x + (1 + 2 + 23)*(2*x + 3*x - 2*x) to the form m*x + p and give m.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 13 = -p - 5*b, 3*b - 22 = 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2622.14547 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 194, 266, 322, 356, 362?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32206980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35392.3 - 33124. Let z = -2393 + u. Round z to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 4 - 5*l + 7*l. Let s(v) = v + 14. Let j be s(-12). Suppose 2*d = -0*d + w - 8, -j = -w. Determine p(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n - 5*n)*(n + 2*n - 2*n)*(-4*n**2 - 8*n**2 - 3*n**2).\nAnswer: 60*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173722, -173734, -173770, -173842, -173962, -174142?\n\"Answer: -2*j**3 + 2*j - 173722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/10)\/((-35)\/700). Let z(r) = -8*r**2 + 4*r**3 - 16 - 4*r**2 - r - 8*r - 5*r**3. Is 23 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 19859 = 6154. Does 69 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyuuyyqyq. Give prob of picking 2 y and 1 q.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-147)\/15 - 2\/10. Let l be (-8)\/20 + (-124)\/b. What is the units digit of 44*(l\/(-8))\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + j)*(1 - 4 + 1 + (16 - 52 + 23)*(1 - 3 + 0) - 1 + 1 + 1).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-198))\/(3\/2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r - 15. Let n(s) = -2*s - 1. Give -3*n(a) + t(a).\nAnswer: 2*a - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 20\/7*v**4 - 128\/7*v**2 + 24\/7*v**3 - 4\/7*v**5 + 0 - 128\/7*v = 0. What is v?\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -718.8 - -749.51. What is j rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23979 - 23975. Solve 19*d - i = 15*d + 4*h, -h = -5*d - 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3352*c**3*j**2 - 46*c**3*j - c*j + 5*j wrt j.\nAnswer: 6704*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 4 + (sqrt(180)*-5 - sqrt(180)) + sqrt(180) - sqrt(180) - (-2 + sqrt(180))*-2)**2*6*6.\nAnswer: 58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246744 and 30843?\nAnswer: 246744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-24)\/(-26))\/((-45)\/(-170)). Let j = -297 - -3859\/13. Let l = p - j. What is the third biggest value in l, 4, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 10\/16)*-4. Let j = -15 - -11. What is the smallest value in 0.1, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(1\/10))*(c\/c**(-1\/4))\/c)\/((c*c\/(c\/(c*c**(3\/5)\/c)))\/c**(-2\/27))*(c**1\/c**(-2))\/(c**0)**28 assuming c is positive.\nAnswer: c**(797\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 361346 (base 8) in base 11?\nAnswer: 84974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10204\/(-204080))\/(-1 - (-10)\/6)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1. Let c = -0.13 + 6.33. Let b = c + -6. Which is greater: f or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4 - -11) + -126 + 5\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*u**2 - 17 + 54173*u - 54173*u in the form p + s*u**2 + x*u and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -23*f**3 - 8*f - 25. Let j be a(-3). Let z = j + -389. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*m + 34*m - 40*m + 360 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(2\/(-21)*-3). Let c(h) = -2*h + 5. Let z = 0 - -1. Let j(m) = z + 4 - m - 2. Determine f*j(y) + 4*c(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -5\/6, 0.3, -85, -0.46, -0.2, 2?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.6 and -109879.\nAnswer: 395564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 2*o - 2. Give n(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 331595\/27 + -12283. What is the common denominator of (-40)\/(-32)*(-7 - -20) and o?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2553\/26600 - 46\/437. Let i = h + -52\/25. Let n = 11\/8 - -41\/8. What is the common denominator of n and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 46\/(-8))*-8. Let o = -4 + -15. Let f = c + o. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*g**2 + 62 - 62.\nAnswer: -103*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/2)\/a)\/a)\/a**(5\/3))**(-24)\/((a*(a\/((a\/(a*a\/((a\/a**(-1\/8))\/a)))\/a)*a)\/a*a**(-4)*a)\/(a**(-7)*a*a**8)) assuming a is positive.\nAnswer: a**(617\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126929, 253856, 380783, 507710, 634637, 761564?\n\"Answer: 126927*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -550 (b) 5 (c) -3 (d) 8 (e) 3\/4 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*o + t, -5*t = -2*t + 9. Let c be 27\/72*(o - -3). Factor 0 - c*y**2 + 21\/4*y**4 - 3*y**5 - 3\/2*y**3 + 0*y.\nAnswer: -3*y**2*(y - 1)**2*(4*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*o + 12*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 132723*b - 1327205\/2.\nAnswer: -(b - 265441)*(b - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-4\/25))\/l**7)\/(l\/((l*l**(1\/6)*l)\/l*l)*l**(2\/5)\/l) assuming l is positive.\nAnswer: l**(-611\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyl when three letters picked without replacement from yyylyylyllll?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(3328) - (sqrt(3328) + 1)) + 0)**2)*6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-195)\/20*5\/((-30)\/176) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10501446 (base 7) to base 14\nAnswer: -198d5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5991, -6001, -6011, -6021, -6031?\nAnswer: -6041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 3774678, 2\/11, -2, 3\/4 in descending order.\nAnswer: 3774678, 3\/4, 2\/11, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 5:22 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286 and 2504436?\nAnswer: 32557668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + d**2 - d**2 + (-2 + 2*d + 2)*(9*d - 10*d + 14*d)*(0*d - d + 0*d).\nAnswer: -27*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 100*c + 1344. Let i be a(-16). Is 8\/279 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 440 or -1?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13624793 or -13624801?\nAnswer: -13624793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*v + 43, 632 = z + 5*v + 684. Let g be (-4)\/7 - (16169\/483)\/z. Factor -g*s**3 + 1\/3*s - 1\/3*s**2 + 1\/3.\nAnswer: -(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 248\/5, 5, -1\/5, 7, 0.022, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {n: 5, q: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, s: 4, r: 3}. What is prob of sequence rs?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/3 - -13 - 3. Suppose -16 = -5*h + f. Suppose -4*l - 14 = -h*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*f - 60. What is the nearest to -2\/3 in 5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**4 + 2*i**3 + 0*i**3 + i**4)*(-296 + 164 + 166) in the form u*i**4 + h + z*i + w*i**3 + d*i**2 and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59527, 59528, 59531, 59536, 59543, 59552?\n\"Answer: y**2 - 2*y + 59528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.5 + 9. Let n = 1 + x. What is the closest to 2\/5 in n, -3, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3190. Let m(p) = -2127. Let a(l) = 2*b(l) + 3*m(l). Let v(s) = -140*s + 119. Let t(i) = -7*i + 6. Let r(z) = 119*t(z) - 6*v(z). Give a(n) - r(n).\nAnswer: -7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24554, -21651, -18748, -15845, -12942?\n\"Answer: 2903*x - 27457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i\/i**(-2\/43))\/i)\/i)*i*i**(-8))\/(i**(-17)\/(i\/(i\/i**(-30)))))**46 assuming i is positive.\nAnswer: i**(-35696\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3220*l**3 - 8879*l + 3 wrt l?\nAnswer: -19320*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, s: 1}. What is prob of sequence sff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/23 - 25\/46. Let n = -620.2 + 620. What is the closest to n in 3\/4, l, 2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809368?\nAnswer: 2, 7, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(252)\/(sqrt(4)*-2))\/((sqrt(9) + sqrt(576))*-6 + sqrt(9)).\nAnswer: -3*sqrt(7)\/106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a**(1\/6))**(1\/28)*(a*a**1\/a)**(-14\/3)*(a\/(a*(a**(2\/5)*a)\/a))**(-5\/6) assuming a is positive.\nAnswer: a**(-241\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 10330?\nAnswer: -10334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.21. Let d = -58.0915 + 58.4915. Let v = -101 + 298\/3. What is the closest to j in 4, d, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/6820 + 436507\/61380. Let p be (-31778)\/10594 - (-1 + -2). Let q = -460823\/42376 - p. What is the common denominator of q and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -99325 + 590?\nAnswer: -98735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3\/14))**21*h**(3\/19)\/h*h*(h\/h**15*h*h)\/h assuming h is positive.\nAnswer: h**(139\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:34 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9090, -2, 5 in descending order.\nAnswer: 9090, 5, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1)*(l**0\/l)\/l*(l**(-5)*l*l*l*l)\/(l**(-2\/19)*l*l) assuming l is positive.\nAnswer: l**(-112\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 + 19*t - 14. Let h be m(-10). Let p be (1\/15)\/(3\/(-72)*h). Which is the nearest to 0? (a) p (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15411375497 and -0.069.\nAnswer: -15411375497.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69 + -70. Let o be (-2)\/(-6) + (2\/u)\/6. Factor 6*g**4 + 1 - g**5 + o + 6*g**2 + 10*g**2 + 1 - 9*g - 14*g**3.\nAnswer: -(g - 2)*(g - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148853.\nAnswer: 148853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5353326 + 1.93\nAnswer: 5353327.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0 - 2\/3*z**4 + 0*z**3 + 11*z - 1\/4*z**5 + 0*z**2. Find the third derivative of k(f) wrt f.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z - 184 + 979. Suppose -l + 28 + 25 = 0. Calculate the highest common divisor of l and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3*s**3 - 18*p**3 - 51*p**2 + 24887*p*s**2 - 2*p wrt s.\nAnswer: -3*p**3*s**2 + 49774*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + ((-20)\/4 - 2) + 162.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*a - 12, -5*a + 9 = 3*t + 44. Let z(v) = -31*v - 6. Let u be z(t). Let m = u - 101. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2 + 60\/21). Let f = x - -59\/24. Let s be 60\/(-112) - (-4)\/14. Is s at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 23*q + 18. Let b be p(-12). Calculate the highest common divisor of b and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276 or 7?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)\/r*(r**(2\/3)*r)\/r*r**(-1\/5)*r\/r**(-2\/29))**(-3\/34) assuming r is positive.\nAnswer: r**(-761\/34510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 3*k**2 + k**2 - 3*k**2. Let y(s) = 5*s**2. Determine g(y(b)).\nAnswer: 75*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/672 + 3*r**7\/140 - 29*r**6\/240 + 13*r**5\/40 - 3*r**4\/8 + 3*r**2 - 188. Suppose c(p) = 0. What is p?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106.09 - -5.\nAnswer: -101.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - g - 496 = 0. Let b = 12746\/5 - 2540. Find the common denominator of g\/(-21) + (-1)\/(-3) and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccxvxiuauuvuuvvccvi. What is prob of picking 2 u and 1 i?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*26\/72 - (-3)\/6. Let x = 21.6 + -24. Let o = 2 + x. Which is the smallest value? (a) -5 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2050 + 2277.2. Let h = 225 - l. Which is the nearest to 0.1? (a) h (b) 0.2 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -3*f**4\/8 + 5*f**3\/3 - 12*f**2. What is the derivative of h(t) wrt t?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62491652.\nAnswer: 2, 151, 157, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 1. Let n be 41\/82 - 14\/(-4). Suppose -n*v + 2 - 6 = 0. Calculate s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1)\/50)\/((-226)\/(-565)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -87*s + 220. Suppose 5*b - 6*b = 12. What is the thousands digit of k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 9:57 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**3 + 1\/30*o**5 + 0*o + 0*o**4 + 0 - 2*o**2. Let i(x) be the third derivative of -x**4\/24 + 2*x**2. Calculate i(z(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 3. Let g be 15\/10 - (-5)\/(-2). Let j be g - (-1)\/(-1)*1. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 601 = 3*b, 0 = -4*j + 5*b + 210 + 397. Calculate the common denominator of j\/(-3) + (-1)\/6 and (6\/(-16))\/((-228)\/(-112) + -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d*d**(-1\/14)*d*d))\/d)\/d*d\/d**(-4\/29))\/(d*d\/(((d**(-6\/7)\/d)\/d*d)\/d)*d*d**(-20)))**5 assuming d is positive.\nAnswer: d**(23045\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 855, -5, -7, 2, -2, 4 in decreasing order.\nAnswer: 855, 4, 2, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j - 0. Let r be -2*((-244)\/(-8) + 3). Let f = 131\/2 + r. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1408\/48)\/11*9\/(-12)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/12 - p**2\/8 - p\/2 + 340. Solve n(l) = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**6\/10 + 3*b**5\/10 + 3*b**4\/4 - 4*b**3 + 6*b**2 - 2*b - 19. Factor p(x).\nAnswer: -3*(x - 2)*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10507 - -10842. Solve 339 = -j + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3. Let t(n) = -4. Let c(d) = 5*s(d) - 3*t(d). Let m = 7 - 8. Let w(o) = -o**2 - 1. Determine m*c(y) + 3*w(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -7.\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 295465?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1720 + 9. Suppose -3*d + 1715 = -5*a, d - 2*a + q = 4*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -0*y - 27. Let x = 7 + y. Let b = -9 + 15. Calculate the remainder when x is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4400 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -v. Suppose -4*m = 3*a - 197, 3*m + 0*m = -v*a + 147. Let b = m + -30. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.422 + -0.578. Which is the closest to 0.1? (a) m (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5960.535 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -233, -504, -883, -1370?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((2 + 9 - 5) + -1 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(1900) + 0 + (1*(sqrt(171) + -1*sqrt(171)))\/((sqrt(90)*-1)\/sqrt(10)).\nAnswer: -8 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 + 10*s - 15. Let o(i) = 7*i**2 - 21*i + 32. Let n(g) = -4*o(g) - 9*t(g). Suppose n(k) = 0. Calculate k.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 24*u + 13 = 3*c, -u = -c - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/52 - (-2898)\/78. Let r be l\/(-22) + ((-60)\/33)\/(-10). Sort 2\/19, -5, -2, r.\nAnswer: -5, -2, r, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11113012 + 331?\nAnswer: 11120003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(252) + 0 + (0 + sqrt(252))*-2)**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-30 - 26) + 127?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2068 - 1393. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024575 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -26*x + 4. Let g be t(8). Let c = g - -3058\/15. What is the third smallest value in -0.5, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 3)*(-2 + 2 - 2) + 1 - 1 - 2)*(-5*c + 5*c - c**2)*(3*c + 4*c + 3*c).\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w + 75007 = 2*j, 3*j - 3*w - 112548 = 0. Let n = j - 2775859\/74. Find the common denominator of n and 85\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9535702 and 127996?\nAnswer: 19071404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 4 (c) -0.5 (d) -0.3 (e) -13\/8 (f) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -8) + 2 + 0. Let q be m\/12*(-3)\/(-23). What is the second biggest value in q, 5, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*w + 6223834 = -34166061, 4*u - 3*w = 161559599. Suppose -11*d + u = 111637262. Let m = -2237033 - d. Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 5, 0.004.\nAnswer: -1\/8, 0.004, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 37*d + 8. Let g be o(0). Let v be -1 + g + (-3854)\/574. Factor 6\/7*b**2 - 6\/7 + v*b**3 - 2\/7*b.\nAnswer: 2*(b - 1)*(b + 1)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(117)*-3 + sqrt(117))\/(sqrt(450)\/sqrt(2)).\nAnswer: -17*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36478 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 342354 = -p + 4*f, -3*p + 1026942 = -3*f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -760*j**6 - 7*j**2.\nAnswer: -91200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/22 - (-1)\/(-11)*-57. Suppose j + 4*a - 12 = 0, -u*j - 8*a = -3*a - 30. Solve 0 = -j*f + h + 4*h - 22, 0 = 4*f - 3*h + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 1\/3, 5, 0.4 in descending order.\nAnswer: 5, 0.4, 1\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*l*o - 6*j*l - 2*j*o - j + 4*l*o + 1160*l wrt j.\nAnswer: 2*l*o - 6*l - 2*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 492383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362 - -386. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z + z**3 - 2*z**3 - 1 - 12*z**2 + 8*z. Let u(j) = j**3 - j**2 - 2*j - 3. Let g be u(-2). What are the prime factors of f(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -967268, -967149, -967030, -966911, -966792?\nAnswer: -966673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*z = -191*z - 910*z - 208*z - 108674 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*x - 2 + 28*x + 9.\nAnswer: -6*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4\/7 + 51*d**3\/7 - 120*d**2\/7 - 900*d\/7.\nAnswer: -3*d*(d - 10)**2*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 2.96. Suppose -7*o + r - 2 = -9*o, 3*o + 2*r - 1 = 0. Sort 0.1, o, w in decreasing order.\nAnswer: o, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.96 - 0.96. Let u = -18.5 + a. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1321, 2785, 4249?\n\"Answer: 1464*s - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -21. Let v = -14 - u. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**3 - 27*o**2 - 17*o + 55164.\nAnswer: -3*o**2 - 54*o - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1953 and 1008?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147525, 147902, 148279, 148656?\nAnswer: 149033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/150 - 27*g**4\/5 + 8748*g**3\/5 - 232*g**2. Let d(j) = 0. What is j?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 26. Suppose 5*o = 5, 0*o - o + 5 = u*z. Suppose 0 = r - z + 6. What is r rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157 - 167. Let x be 117\/(-390)*j\/6. Factor -h - x*h**3 - 3\/2*h**2 + 0.\nAnswer: -h*(h + 1)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8693520596 to the power of 1\/5, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51166776 and 6096?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1101236820.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mww when three letters picked without replacement from {y: 1, m: 1, w: 2, v: 1, b: 1, f: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*y = 3*r - 21, -3*y = 2*r - 19 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 141, 166, 213, 288?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 (base 15) in base 12?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 3)*(-56 + 128 - 52)*(71*j - 35*j + 1 - j**2 - 33*j) to the form x + m*j**2 + p*j and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 30*k + 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + 32. Suppose -d = -3*y - f - 0*f, 2*f = -5*y + 97. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 9*o**2 - 10*o + 27. Let y be f(-10). Suppose -24*w = y - 243. Solve -3*a - 3 - w = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.331 microseconds to nanoseconds.\nAnswer: 231331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31301033 (base 4) to base 6\nAnswer: 1113035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38157 and 62928.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*n = 4*a - 44, -5*n = -a + 43. Let k(j) = j**2 - 19*j + 44. Let c be k(a). Calculate the greatest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (12 + 1) - (8 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 14 - i + 10*i**2 - 4159*i**4 + 4161*i**4 + i to the form b*i**4 + j*i**2 + h + c*i**3 + u*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**4\/6 + 2*z**3\/3 - 3*z**2\/2 + 2. Let l(w) be the second derivative of j(w). Find the first derivative of l(h) wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 21, 40*x - 41*x + 39506 = r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, -0.2, 0.0106?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s. Let h = -13 - -11. Let j be h\/12*45\/(-6). Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*q - 48 + 13, 5*q - 20 = 0. Let j = n + 33. Let u be (-20)\/72 - (-2 - 40\/j). Which is the nearest to 0.03? (a) u (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*m**3 - 287*m**3 + 791*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28608 or -28609?\nAnswer: -28608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*a + 2*i - 5*i, -14 = -5*a + 2*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*a**3*i**2 + 12*a**3*w + 4*a**2 + 5*i**2*w wrt w.\nAnswer: 12*a**3 + 5*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.964 + 0.036. Let z = 28.8 - p. What is the smallest value in z, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1176 divided by -1\nAnswer: -1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/5)\/(2 - (-595452)\/(-297715)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13258161 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d + 1975. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7.11 in -0.5, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/6 (b) -0.36 (c) 0 (d) 4 (e) -0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -16.7 (b) -2 (c) 1\/2 (d) -0.1 (e) -51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v - 30 + 30 + (-1 + v + 1)*(3 - 1 + 3) + 0 + 4 - 4*v + 3 - 7.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 0.3 (b) -6 (c) 4\/5 (d) -0.0221 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 16) to base 2.\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 + -0.4. Let n = u - -2.12. What is the closest to n in -1, 1, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4512*f**2 - 1578*f**2 - 666*f**2 - 1098*f**2 + 2*f**3.\nAnswer: 2*f**3 + 1170*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13119 - 13114. Solve -55*c + 14 = 2*q - 53*c, -q = -x*c + 29 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 47 = -3*l, -4*p = -3*l - 2*p + 32. Let j be 4\/(-34) - 344\/(-34). Differentiate -15 - 9*q + 2 + l*q - j*q wrt q.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.88 + -0.12. Let l = 1 - 1. What is the closest to l in -1, -4\/7, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -0.1, -3\/4, -2\/133?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 13090?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 10*x - 37. Let h be m(-15). Suppose -481 - h = -3*p. List the prime factors of p.\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21289 (base 12) to base 14\nAnswer: -11c5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.51 take away 2.61819?\nAnswer: 63.89181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 140 = 0. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 + y + 1. Give s(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -562 bigger than -1685\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 - 5*z + 105. Is b(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 983 divided by -358.\nAnswer: -983\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/6*(-48)\/420\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5 - 5*n**2 - 15 - 11 + n**3 + 43. Calculate t(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4934745 is divided by 99.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19331730 by 280170.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 19. Find the second derivative of 2*k**5 - 7*k**5 + c*k**5 + 2*k wrt k.\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220573\/426462 + -10\/4181. Find the common denominator of z and 34\/81.\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*n*o**3 + n*o - 7*n - 2*o**2 - 7 with respect to o.\nAnswer: 57*n*o**2 + n - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1191, 2416, 3615, 4788?\nAnswer: 5935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019 a factor of 287305767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 1:56 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 29, 51, 61, 47?\n\"Answer: -2*h**3 + 12*h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (861\/246)\/(10\/(-64)) + 22 - (-117)\/(-20).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - 3) + 11 - -1) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 1. Let u(o) = -o**2 - 11*o + 5. Let y be u(-11). Let k be (3 - (v + y))*4. Solve 0*p - k*p + 12 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1. Let s(i) = 3*i - 10. Let o(r) = 6*k(r) + s(r). Let u be o(2). Which is the third biggest value? (a) -3 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5*q = 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6. Let k = -10 + 15. Let z(p) = -3*p**2 - 4*p - 7. Let n(h) = -5*h**2 - 6*h - 11. Let i(u) = k*n(u) - 8*z(u). What is i(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330092283.\nAnswer: 3, 647, 170063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n - n)*(4 - 1 - 4)*(0 - 6 + 1).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1369590 by -30.\nAnswer: 45653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/6 - 6\/(-18). Let d(j) be the second derivative of j**5\/20 + j**4\/3 + j**3\/2 + 2*j**2 + j. Let c be d(y). Sort c, 2, 0 in descending order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 729, 1638, 2909, 4542, 6537?\nAnswer: 8894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from {j: 6, l: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1201309*u - 904237?\nAnswer: -1201309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1123366\/33 or 34042?\nAnswer: 1123366\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1971*l**2. Let q(u) = 79*u. What is k(q(j))?\nAnswer: 12301011*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 186, -0.1, -0.4 in descending order.\nAnswer: 186, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 426370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Suppose l*f - 21 = 11. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1 - -2) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/18 - (-10)\/(-450)*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55536 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from ttjjtwwjjt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x + 0*x = 0. Suppose 4*w - 4 = 12. What is the lowest common multiple of w and (1 - x)\/((11\/(-12))\/(-11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85276 divided by -21319\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 8 + 14. Suppose 0 = -5*r + t + 139, 2*r + 2*t = a*r - 110. Let f = -4 - -22. What is the smallest common multiple of r and f?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*w**2 + 2*w**2 - 4*w**2)*(-5 - 3 + 4)*(-3*w + 8*w - 48*w**3 - 4*w)*(3 - 5 + 1).\nAnswer: 1536*w**5 - 32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0135092787 to 4 dps.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -13. Let v be j*3*5\/(-3). Is -10 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(13)*-3 + 0 + (1*sqrt(13) + -1 + sqrt(13) - sqrt(13) - sqrt(13))**2)*-5.\nAnswer: -360*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*10*(-290)\/(-2175)*(-3)\/22. Let k = 7 - 3. What is the closest to -1 in p, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(132) - sqrt(132))*-2 + sqrt(132) - (sqrt(132) + -5*2*sqrt(132)))\/((sqrt(176) + sqrt(176)*1)*-3) + -1.\nAnswer: -6 - 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 + 212. Is f a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 6*y - 4. Suppose 0 = -2*z + z - 4. Let q be ((-63)\/(-6))\/(-3)*8\/z. Determine v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5464 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 8. Suppose j*y = 3*y. What is the second derivative of -5*o + y*o + 2*o + 2*o**2 + o wrt o?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82\/(-56) + 140\/80)*4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (-1*sqrt(110) - sqrt(110)))*4 + sqrt(110) + sqrt(110))\/(sqrt(750)\/sqrt(3) - sqrt(10)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2*r + 35, 0*q - q + 20 = -3*r. Let d = 12 - 8. Sort q, -1, d in descending order.\nAnswer: q, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 1936 + 4422. What is the highest common divisor of d and 561?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/614 + 6301\/921. Calculate the common denominator of p and 89\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 12*b**5 - 51656*b**4 + 292368*b**3 - 154744*b**2 - 85980*b = 0.\nAnswer: -1\/3, 0, 1, 5, 4299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54280 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 m, and 1 r when three letters picked without replacement from rmjjjwwwsmwi.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -5\/956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -31*g**2. Let k(r) = r + 2. Suppose -4*h - 2523 = -2519. Let b(y) = 1. Let z(n) = h*k(n) + 2*b(n). Calculate z(o(m)).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 + 195058*h**3 + 12682606140*h**2 + 274878577812942*h + 274865895401859 = 0. What is h?\nAnswer: -65019, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7868505018773 + -0.3.\nAnswer: 7868505018772.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuuuuunnuuu. Give prob of sequence uu.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x + 6. Let y be w(4). Suppose 13*d - 424 = 5*d. Let z = d + y. Solve 2*g - 4*o - 1 + 11 = 0, 0 = -3*o + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10137 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 845131681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((-1*sqrt(136) + sqrt(136))*4)\/(sqrt(48)\/(sqrt(6) + (sqrt(6) - 1*sqrt(6)))) + 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 - 2*f**2 - f + 1. Let j be n(-2). Let c = -174\/5 + j. Suppose 76*o + 51 = 279. What is the second smallest value in o, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284 and 127445.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Find the second derivative of -3*w**5 - 3*w - 3*w**m + 8*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65511187*v**4 - 1760*v**2 + 11*v - 120.\nAnswer: -1572268488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -19*g. Let u(v) be the first derivative of -94 + 0*v**2 + 0*v + 2\/3*v**3. What is u(p(l))?\nAnswer: 722*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-4)\/(-22) + 168\/44. Solve -9 + n = -4*q + 5*f, 5*q - 2 = 2*f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from {m: 2, v: 1, q: 1, h: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361035 = 5*q - 5*v, 4*q + 19*v - 15*v - 288860 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a8 (base 12) to base 15.\nAnswer: 8d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-24) - 98\/(-12). Let k(r) = 5*r - 4*r + 0*r + v. Let a be k(-4). Solve u - 3*u + a*g + 24 = 0, -5*u = 3*g + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 0 - 5*y + 6*y - y**3 - 1 - y**2. Let d(h) = h**3 + 4*h**2 - 3*h + 2. Let t = 9 - 7. What is t*p(v) + d(v)?\nAnswer: -v**3 + 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1\/5, 184, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 295ad (base 15) to base 6\nAnswer: 2503201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 17 - 18 - (-9 - -11 - 48).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 561343 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 9*u**2 - 2. Let w(b) = 46*b**2 - 11. Let p(l) = -11*i(l) + 2*w(l). Let x(n) = -2*n - 8. Let c be x(-4). Let y(v) = v - 2*v + c*v - v. Give y(p(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -163*g**2 + 116*g + 25. Let i(y) = 54*y**2 - 41*y - 8. What is -17*i(b) - 6*k(b)?\nAnswer: 60*b**2 + b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -760959\/28 + 27174. Let y = -20\/7 - w. Let n = -2.935 + 3.235. What is the smallest value in 2\/5, -2, y, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 14 = s, 16891 - 16931 = -4*s - 4*u for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5134 divided by 1.\nAnswer: -5134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*57\/3. Solve 2 = 2*f + g - 3*g, -2*f - 5*g - p = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 1243911325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 16*h - 74. Let t be k(4). Suppose 3 + 9 = -4*g. Sort g, -4, t in ascending order.\nAnswer: t, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2646 and 10693350.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 149179\/30 + -4972. Calculate the common denominator of -19\/6 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - l**2\/4 - 2*l + 3.\nAnswer: (l - 2)**2*(l + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*t = -22240*t - 8187*t - 265563 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let g(j) = -4*j**2 + 15*j - 6. Let n(w) = -g(w) - 6*t(w). Let d be n(4). Find the common denominator of (d\/(-42))\/((-10)\/(-10)) and 44\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 14782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Let g be 4*w\/6*1. Suppose -2*x = -g*b - 0*b - 18, -3*b = -x + 3. Calculate the remainder when 47 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(3\/7)\/b))**(36\/11) assuming b is positive.\nAnswer: b**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -9. Let h = m - -3. What is the second biggest value in h, 2, -3\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:31 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + v + v**4 - v**4)*(14*v + 2*v - 4*v).\nAnswer: 24*v**5 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 plus -10350671?\nAnswer: -10350670.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -545*q - 8738. Calculate d(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3485 = 17*m - 50609. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-12)*(-4)\/8*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 64 = -a. Solve 4*r + a = -0*r + n, 4*n = -5*r - 41 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, 0.03, -2\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422543 is divided by 489?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 478435a (base 11) to base 2.\nAnswer: 11111110011010001100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -1510114?\nAnswer: 1510106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*y + 25. Suppose -5*s + 2 = -y*s. Let n = 0.02 - 0.07. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -14*p - 3. Suppose 2*c - 4*g - 80 = -p*g, -120 = -3*c - 3*g. What is the highest common divisor of 220 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854626*s + 6 + 854637*s + 3.\nAnswer: 11*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80269374, 80269374, 80269376, 80269380?\nAnswer: 80269386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(68) + 2)*-2)**2 + (-3*sqrt(17)*1 - 3*(sqrt(17) + sqrt(17) + 1))**2.\nAnswer: 854*sqrt(17) + 8586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8015 and 4490?\nAnswer: 7197470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:01 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1d362 (base 15) to base 3\nAnswer: 11211200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/8 - ((-27)\/12 - -2). Let a be ((-94)\/(-3))\/(-2) + (-3)\/f. Let n = a - -20. Solve n = 2*o + 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 22*p - 31. Give u(23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20872212, 41744378, 62616544?\n\"Answer: 20872166*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**3\/3 - 12. Let y(n) = 25*n. What is y(j(a))?\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*a - 95. Is a < 163\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166256*t + 164070*t + 166255*t - 662830*t + 166247*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.02, 0.2, 6, -1\/3, -0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 267 in -0.2, 1\/3, 2\/7, -14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from bjwxebeq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 328 = -412*m + 428*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2. Let s(g) = -g. Let u(q) = 5*q**2 + 2*q. Let o(n) = -2*n**2 + 15*n - 17. Let l be o(6). Let b(d) = l*u(d) + 2*s(d). Calculate b(x(a)).\nAnswer: 45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32079760 rounded to the nearest 100000?\nAnswer: 32100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 3 (c) -0.013 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1936, 1940, 1942, 1942, 1940, 1936?\n\"Answer: -z**2 + 7*z + 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/24 + 62\/12. Let u = 121.2 - 133. Let a = u + 12. What is the biggest value in a, b, 0.02?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*j + 729 = 977 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 186 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 - 7 - 52*k**2.\nAnswer: -52*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-51)\/119 + 10\/(-42). Let r = -1 + 1. What is the smallest value in t, 2\/19, r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v = -p - 10, -v = 3*p - 26. Let l be (1\/2)\/(p\/(-180)). Let o(j) = -2*j + 4. Is o(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from ccbbbbbbbbggbccbbg.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9273 * -0.5\nAnswer: -4636.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4160)\/140 - -30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 8.8. Let q = 5.09 + -0.09. Let w = q + -10. What is the closest to 1 in y, -4, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44307834.\nAnswer: 2, 3, 71, 104009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 19. Let g be m(-9). Let k be (g\/3)\/((-832)\/168 - -5). Solve -13 = k*a + 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212983850 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and -0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3, -1, -0.05, 5 in decreasing order.\nAnswer: 5, 0.1, -0.05, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 4:08 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oqoiioqoqiqq?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 23174.89 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*m - 107 = 124. Let y(z) = z**3 + 60*z - 54*z - 8*z**2 - 2 + 6. Give y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-70)\/(-15) + 26\/6. List the prime factors of (i\/((-20)\/(-8)))\/((-2)\/(-11)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223106?\nAnswer: 2, 13, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11055*w*x**2 + 9017*x**2 wrt w?\nAnswer: -11055*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 + 4*t - 5. Let k(q) = q**3 + q**2 - 1. Let y be k(-1). Let g(o) = 13 + 22 - o - 34. Let u(z) = y*a(z) - 4*g(z). Calculate u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7874 + -7765. Suppose 8 = -4*w - 0*w, -5*q - 4*w - 193 = 0. Let y = -23 - q. Calculate the remainder when x is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + 3*m**2 - 2*m + 36. What is the tens digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 15\/(-6))*(-55810)\/(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -1\/11, 6\/17?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (232\/5)\/(945\/2700*40\/(-35))?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 49. Let w be (-2)\/5 + (-140)\/h. What is the units digit of 2*1*w\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 19*w - 1802.\nAnswer: (w - 53)*(w + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p. Let i(v) = 2*v. Suppose 9*l = 4*l + 30. Let c(y) = l*i(y) + g(y). Let r(t) be the third derivative of -t**5\/30 + 113*t**2. What is r(c(h))?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 61*o + 14*o**2 - 12*o - 24*o + o**3 - 4*o - 19 - 7*o. Give i(-13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 134.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 3733*b**2 + 52115*b - 182231.\nAnswer: (b - 3719)*(b - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 0*a - 4\/5*a**2 + 4\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10215 - -10173.7. Are 4 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m**(-1\/11))**(3\/4) assuming m is positive.\nAnswer: m**(129\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*q + 5*r + 13, -5*q + 21 = -2*r. Let p(v) = -v**3 + 6*v**2 - 25*v + 51. What is p(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 91. Suppose 0 = -n*j + 4*j - 36. Which is smaller: -7 or j?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 43 + 16 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 11399 (c) -3.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 837\/7 - 120. Which is the smallest value? (a) 5 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 286\/71 or 3?\nAnswer: 286\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30432073 and 34209?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12.787512 hours?\nAnswer: 0.532813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3589? (a) 1 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.164 (b) -56 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-561)\/9537)\/((-88)\/(-272))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-13)\/(-6825))\/((-6)\/(-30))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 132576*g**2\/7 - 10350054*g\/7 + 201885372\/7.\nAnswer: 2*(g - 39)**2*(g + 66366)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*h + 6*h**2 - 19*h - 6*h**3 - 61 - 8*h**2.\nAnswer: -6*h**3 - 2*h**2 + 72*h - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.84161177 to two decimal places.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2376 and 42310323.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 131 - 2983. Let b = c - -2614. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - h - 6 - 6 - 53 - 3 + 70.\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 668*h**3 + 4*h**2 - 20*h + 18. What is i(1)?\nAnswer: 670","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*h + 6, -h - 21 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1696 and 360?\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*t - 4, 0 = -w + 4*t - 13. Solve 0 = -4*v + 3*v - 5*i + 24, -w*v + 12 = 3*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70153 smaller than 70154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/2 + 15703*p**3\/2 - 7851*p**2.\nAnswer: -p**2*(p - 15702)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 2) + 2 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -50. What is the units digit of ((1 - t)\/(-4))\/((-2)\/(-14))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1441, 12625, 42995, 102145, 199669?\n\"Answer: 1599*w**3 - w**2 - 6*w - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57195473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((20\/(-35))\/((-5)\/(-5)))\/((-108)\/42). Which is the nearest to -0.3? (a) -2\/119 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*w + b - 38, -5*w - 3*b = -114. What is the least common multiple of w and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 436, 1137, 2118, 3379, 4920?\n\"Answer: 140*z**2 + z - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/31)*h*h**0*h)**(-46))**14 assuming h is positive.\nAnswer: h**(-41216\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-6 - 4 - -6) - -2 - 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:09 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*(x*x*x**(2\/3))\/x*x)\/(x**(3\/2)*x*x**0))**(-10\/7) assuming x is positive.\nAnswer: x**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -647 (b) -9 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 28779 = -3*a, -2*a - 28809 = p - 2*p. Does 62 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3565, -1180, -5923, -10664, -15403?\n\"Answer: i**2 - 4748*i + 8312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4673300?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyypyyypyy. Give prob of sequence ypp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -231.4 from -0.1.\nAnswer: 231.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5 (b) 25 (c) -21\/4 (d) -8 (e) -4 (f) 1 (g) 26\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7848, 7845, 7842, 7839, 7836, 7833?\nAnswer: 7830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(156) + sqrt(156)*-2))\/sqrt(12) + -2)**2 - (sqrt(13) + 0 + -5 + sqrt(1872)*1).\nAnswer: -37*sqrt(13) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10019696?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112033020 - -10?\nAnswer: 112033030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5532*g**2 + 5556*g**2 + 5547*g**2 - 8*g - 16636*g**2 + 8*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 n when four letters picked without replacement from uunuunuuuuuu.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121))\/sqrt(11) - (sqrt(44)\/sqrt(4) - sqrt(11))*1 - (-3 + (sqrt(99) - sqrt(11)) - sqrt(88)\/(sqrt(16)\/sqrt(2))).\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:48 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -29*v**7\/14 + v**3\/6 + 17*v**2\/2 - 5*v - 1. Find the second derivative of b(z) wrt z.\nAnswer: -1740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*d + 2563 = 863 - 1550 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 37 = 4*o, 2*o - 2*w + 9 = w. Find the third derivative of 9*d**3 + 3*d**o - 5*d**3 + 4*d**3 - 7*d**2 wrt d.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + -5*sqrt(44)\/sqrt(2))\/sqrt(2) - (1 + (sqrt(11)*-1)**2 + -3)) + (sqrt(110) - (-3*sqrt(110)*-2 + sqrt(110)))\/(-4*2*sqrt(10)) + -4.\nAnswer: -13 - 13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 127902, 256429, 384956?\n\"Answer: 128527*n - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15162283 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-15))\/((-7)\/21)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.1. Let h = 1.25 + -1.7. Let w = h - -0.05. What is the third biggest value in z, w, 3\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let f be ((-1)\/(-2))\/((-18)\/(-564)) - 2. Let m = -125\/9 + f. What is the closest to 2 in i, -0.1, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -77 + 99?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 15. Let j be s(11). Let t(q) = 66*q - 12. Let p be t(j). Does 12 divide 5 - (-132)\/(-28) - p\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/3 + 1528*g**4 + 4*g**3 - 27520*g**2\/3 + 12226*g - 4584 = 0. Calculate g.\nAnswer: -3, 1, 2292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1a7a388 (base 11) to base 15\nAnswer: -49181c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 390331 divided by -6\nAnswer: -390331\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*p - 1343 + 23581*p**2 - 2365 - 23584*p**2 wrt p.\nAnswer: -6*p + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 330416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - 0.36. Let b = -64403 + 64401. Is b bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 172074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 5. Let g = 6 + m. Let h = -2 + g. Solve 0 = 5*j - h - 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 + -8 + (-1 - -2) - -9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*n = 144*n + k - 2, 5*k - 6 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiim when four letters picked without replacement from iximxiximxixm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 e, and 1 f when four letters picked without replacement from ifeeffrifiriiiiif.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 363, 455, 635, 933, 1379?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - 130\/20. Let r = h + 92. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 8846 - 3*m - 8839 + 3*m.\nAnswer: 4*m**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 40.7?\nAnswer: -122.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/86 and 39\/20.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 <= 1245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 90*o**2 - 275*o - 1. Determine b(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i + 1. Let t be h(-1). Let d = 10 + t. What is the third biggest value in -0.2, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108392 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 351464279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665866 is divided by 174?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/5 + 24\/15. Suppose -9 = f + h, c*h = -3*f - 0*h - 27. Let v = f + 15. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, l: 1, i: 2, k: 2}. What is prob of picking 1 i and 3 m?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(242)*2 + -2*(sqrt(242) - sqrt(242)*-1))*-5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -212, 4, -1 in decreasing order.\nAnswer: 4, -1, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2. Let f be l(6). Solve 4 = v, 2*q = -2*q + f*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -99 (b) 0 (c) 3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 = 158*g + 11 + 73 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v**3 - 2*v + 2*v**3 - v**3 + 0*v**3 + (-3*v - v + 6*v)*(1 + v**2 - 1) - v**3 - v**3 + v**3 - 2*v**3 + 0 - 4 - 2*v**2 + 2.\nAnswer: 2*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ijjijijj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -1 + 1)*(388\/(-485))\/4?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-8)\/16)\/((-620)\/(-120)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l**5)\/l))\/l**(3\/4))**(-1\/10))**(-2\/15) assuming l is positive.\nAnswer: l**(-19\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -17 (c) -0.09 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 30, 3635, -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1110001010000011011010?\nAnswer: -1110001010000011011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258.66 - -257.66. Let k be 0\/1 - (-6)\/4. Sort k, s, -42 in descending order.\nAnswer: k, s, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:23 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 8*j**2 - 9*j + 5. What is the tens digit of c(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.6 - 4.4. Let l = h + 39.54. Let o = l - -0.83. Round o to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -19, -26, -35, -46?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-16)*(-138)\/115.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2822 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = k - 2*z - 20, -4*k - 35 = 3*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5254237\/63 - -83397. Let q = u + 29\/7. Which is the third smallest value? (a) -1\/5 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1101086308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -13*k**2\/2 + 50145*k\/2 + 17361 = 0.\nAnswer: -9\/13, 3858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105.4 - -109. Let d = p + -3.3. Let g = d + 5. Round g to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9303.9 * -2\nAnswer: 18607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:28 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/(-1554))\/(4*15\/(-40)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/7 + 145653*q**2 - 1019592*q.\nAnswer: 3*q*(q - 7)*(q + 339864)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8886*s**3 - 8902*s**3 + 0 + 0.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 132. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -99 + 95 + 8\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*x + 5 = 0, 3*x + 25 = -2*o + 2*x. Calculate the common denominator of -42\/19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o. Let z(c) = -3*c**2 + 3*c**2 - 5*c**2. Determine z(a(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - ((sqrt(512) + sqrt(512) + sqrt(512) + -4)**2 - sqrt(512))*2)*5 + (-2*sqrt(160)*-2)\/(sqrt(15)\/(sqrt(9)\/sqrt(3))).\nAnswer: -46240 + 4096*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 220. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47404501 to the nearest integer?\nAnswer: 6885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z + 2. Let o be ((-12)\/10)\/(10\/25). Let a be d(o). Solve 10 + 10 = a*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 432, 1711, 3834, 6795, 10588, 15207, 20646, 26899?\n\"Answer: -u**3 + 428*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*t + 16 = 0, 2*t - 9 - 3 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2795*p**3 - 2*p**2 + 2*p**2 - 2499*p**3.\nAnswer: 296*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -13*o + 11*o + 490, -n = -5*o + 1207. What is the remainder when o is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149571\/20 - -7484. Find the common denominator of 37\/14 and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 + 5*q**2 + 4*q - 5. Let k be (10 - 0)*1 + (-28)\/7. Let a(l) = 5*l**3 - 6*l**2 - 5*l + 6. Give k*b(f) + 5*a(f).\nAnswer: f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4916)\/1464 + 2 + -1. Let n = y + 1\/1281. Calculate the common denominator of 137\/18 and n.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -307*c**6 - 428*c**3 - 9119536*c**2 wrt c?\nAnswer: -36840*c**3 - 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 42 + 26 - 51*t)*(-2*t**2 + t**2 - t**2).\nAnswer: 102*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.303556465 plus 0.095?\nAnswer: 6.398556465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = -3*l - 5*w, 4*l + 5*w = 8. Solve l*b - 20 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -21.5 (c) -127 (d) -3 (e) -15 (f) 5 (g) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1504, -1517, -1530, -1543, -1556?\n\"Answer: -13*x - 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65139575 and 2038.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 251939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 7946*s**2 + 3389*s**2 + 5 - 3030*s**2 as b*s + a + g*s**2 and give g.\nAnswer: 8305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2*l**6\/3 + 36*l**5\/5 - l**4 - 12*l**3 + 1064. Let c(m) = 0. Calculate m.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(4\/3))\/x)\/x)\/x**(2\/5)*(x*x**0)**42 assuming x is positive.\nAnswer: x**(644\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.380470818 - 457042.\nAnswer: -457043.380470818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/23, 70, 16, 2\/11 in decreasing order.\nAnswer: 70, 16, 0.2, 2\/11, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111471 - 68924. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = -35 - 145 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 7 = -4*i, 0 = i + 4*m + m + 13. Suppose 0*l + 5 = 5*q + l, 0 = -i*q + l - 5. Solve -6 + q = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(25\/(-80)) - 9. Solve 0*f = -h*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81000 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1*x)\/x)\/x)**(-8\/15)\/(x\/(x**0*x)*x*x**(-2))*(x**(-2\/25)\/(x\/(x*(x\/x**(-2))\/x)*x))**(-2\/3) assuming x is positive.\nAnswer: x**(29\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6397647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let r be s(-4). Let u be -1*(r\/(-3) - 5). Let w(t) = -t**3 - 2*t**2 - 2. Let a(b) = -4*b**3 - 9*b**2 - 9. What is u*a(h) - 18*w(h)?\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*q - 66*q + 183*q**2 - 1613*q**3 + 794*q**3 + q**4 + 770*q**3 = 0.\nAnswer: 0, 1, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -24. Suppose -3*y - r + 21 = 0. Suppose v = -2*q - 2*q + 92, 0 = -4*v - y*q + 308. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 3*t + 2. Let u be w(-3). Let h be (-4 + (-2 - -5))*-5. What is the units digit of 48\/h + u\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -156647 or -5012743\/32?\nAnswer: -156647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/28*(1232\/(-42))\/(-11)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1 - 3 + 8 + 4*w. Suppose -r - 2*r + 2*i + 1 = 0, 3*i + 12 = r. What is n(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -2, 8, -3\/7, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2504920)\/(-70) - (-5 + (-507)\/(-91))?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -22, -53, -96?\n\"Answer: -6*h**2 - h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3428 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/12 and 13\/195*6*415\/(-28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9821 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002849250012 to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3*j - j + (4 + 6 - 1)*(2*j + 10*j - j))*(-3*j**2 - j**2 + 6*j**2) as g*j**3 + b*j**2 + o + z*j and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13068832 divided by -287?\nAnswer: 45536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 - 246 = -u. Let c be (-1 - -55896) + (-1 + 61)\/u. Round c to the nearest 1000.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.76 + -63.56. Let d = -162 + 93. Let w = n - d. What is w rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 1\/2, -2, -1.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(-20))*f)\/((f\/(f*f**(-7)))\/f) assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ololllqsvoo. What is prob of picking 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from gigghldmgdhilg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 71640, -5, -96?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 54*v = 39*v - 368. Solve -123*y = -122*y - 5*f - 10, -v*y + 18 = 2*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110001 (base 2) to base 11.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.1827 minutes in microseconds?\nAnswer: 1750962000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 65*n**3 - 9*n**2 + 5*n - 145. Let q(c) = -32*c**3 + 4*c**2 - 2*c + 72. Let x(m) = -2*a(m) - 5*q(m). What is the derivative of x(p) wrt p?\nAnswer: 90*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, 7, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.007 + 6.\nAnswer: 41.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(17))*2.\nAnswer: 8 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/87798081 and -50\/48657.\nAnswer: 614586567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-7)*l)*l)**6*l**(3\/10)\/(l**(-10)\/l) assuming l is positive.\nAnswer: l**(593\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s**(-12)*s))*s**(-21)*s**(-2\/7)*s**(-8) assuming s is positive.\nAnswer: s**(-275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34673*o**2 + 17223*o**2 + 17454*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8796496 + 8795731 = 85*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/(-151*180\/(-2949030))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 84 = 5*n. Let s(l) = -7*l - 11. Calculate the remainder when s(-6) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvvkivzvivkvkzvvkv. Give prob of sequence vv.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272840 divided by -3735?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5435430 and 9541415.\nAnswer: 11765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 530 - 529.998882. What is f rounded to 5 dps?\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 1. Let m(a) = 1. Let u = -1 + 0. Let n(f) = -f**3 + 3. Let l(x) = u*n(x) + 2*m(x). Let s be 2*(45\/(-6))\/5. What is s*l(i) - j(i)?\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (2 - -4)*(-126)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l. Let i(x) = -4*x - 4*x - x - x. Let p(d) = 5*i(d) - 7*s(d). Let f(j) be the second derivative of 11*j**4\/12 - 722*j. What is p(f(a))?\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 77, -202, 3, -16 in increasing order.\nAnswer: -202, -16, -2, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 15*s**5 + 13160*s**4 + 470005*s**3 - 332360*s**2 - 470020*s + 319200 = 0.\nAnswer: -840, -38, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 6*m - 6*m + (2 - m - 2 + (-1 + 1 - 1)*(m + 0*m + 2*m))*(9 + 55*m**2 - 9).\nAnswer: -225*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47*i*m**4 - 3*i*m + m**4 + 4*m**2 wrt m.\nAnswer: 1128*i*m + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 9*m + 9. Let z be q(-6). Let c = z - 15. Let i be (c\/1 - 2)\/2. Let l(r) = -3*r - 7. Let o(t) = -t - 3. What is i*o(u) - 2*l(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o. Let q(n) = 15*n + 62. Let h be q(-4). Determine b(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -19. Let j = d - 4. Solve -4 = -2*u + 2*w, -u + j*w = 3*u - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1501526843.860001356 - 1501526838. Let a = n + -5.86. What is a rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(385)*-2)\/((1*sqrt(66))\/sqrt(6)))\/(5*sqrt(20) + (-2*sqrt(45))\/sqrt(9)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1828856 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.9375559 and -0.5.\nAnswer: 2.46877795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 798388370.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 738, 982, 1232, 1488, 1750, 2018, 2292?\nAnswer: 2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7788 and 136998.\nAnswer: 3013956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 22, 22, 24, 28, 34, 42?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -5c7?\nAnswer: -5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 - 182*j + 372 - 128 - 121.\nAnswer: -182*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345149 - 0.4?\nAnswer: 345148.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -64014 (base 7) to base 4\nAnswer: -3312231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1909.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.9 + -29.9. Which is the third biggest value? (a) y (b) -2 (c) 16\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10241573, 20483131, 30724677, 40966211, 51207733, 61449243?\n\"Answer: -6*s**2 + 10241576*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) - 720\/(-150). Solve 17*u + j = 22*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 27*l**3 + 6*l**3 + 8*l**3 + 3*l**3.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 666962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51977517 or -51977516?\nAnswer: -51977516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/94 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 25*u + 0*u + 3 + 3 - 83*u**2 + 1 to the form m*u + c + z*u**2 and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -9*p - 2*f - 162, -147 = -p + 5*f. Calculate the highest common factor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -55.\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 635 + -1052. Let j = t + 786. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**3 + i**2 - 2*i - 3. Let s be v(-1). Calculate the common denominator of -127\/24 and ((-9823)\/(-240))\/(-19) - 2\/s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5. Suppose 3 = j - z. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 - 46563721425.\nAnswer: -46563721437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18*(-3)\/12*2*-7*(-5610)\/1870. Factor 27\/2*v**3 - 3\/4*v**4 - 147 - 327\/4*v**2 + b*v.\nAnswer: -3*(v - 7)**2*(v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3. Let x(i) = -55*i**3. Determine -45*f(t) - 4*x(t).\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -16, -4*o - 89 = -3*m - 2*m. Let w(u) = -12*u**3 - 2*u**2 + 1. Calculate the remainder when m is divided by w(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 15 = -5*n, -47*n + 36 = -49*n - 4*r for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:26 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, z: 3, v: 1, a: 5, j: 1}. Give prob of sequence njvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48992590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434627 - 2*z**2 - 6*z**2 - 869216 + 434589 + 4*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 - 2*n**2 + 4*n - 4. Let o(p) = -p**4 + p**3 - p + 1. Let h = -2 + 6. Let s(i) = h*o(i) + r(i). Find the third derivative of s(x) wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5974587361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68227, -272903, -614031, -1091611, -1705643?\nAnswer: -2456127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85000000 rounded to the nearest 1000000?\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 476, 21, -0.4, 0.05, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 19 - (-3 - -5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -13. Suppose i + n = 106. Suppose 8 + i = 3*g. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2857*b - 2829*b - 56 = 0. Solve 5*a - 3*q - 8 = 0, 5*a - 58*q = -56*q + b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 0*g - 1 + 1 - g + (-2 + 2 + 2*g)*(2 + 2 - 2) - g - 4 + 4)*(0 + 0 + 3).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/6 (b) -1.2 (c) 228 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -28. Suppose -5*k + 9 = g*m, k + 1 = -3*m - 2. Suppose k*w = -4*b + 81, 0*b + 3*w + 63 = 4*b. What is the greatest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by 6?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 times 26.414?\nAnswer: 85951.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:11 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**3\/6 - 43*v**2 - 1701*v. Give q(28).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g*((g\/(g\/(g\/(g*g**0\/g*g))))\/g)\/g)*g)\/(g*g**(-3\/8)*g))\/(g\/(g*g\/((g**4\/g)\/g)))**10)**(-1\/28))**(-30) assuming g is positive.\nAnswer: g**(-915\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1d (base 16) to base 7\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 4 - (-10 + -2). Let o be (-233 + 13)*66\/(-8). Suppose h*b - 3554 = o. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878079857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -21, -30, -39?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -532435.7 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*k**3*q**3*y - 26*k**3*q**2*y**2 + 21*k**2*y - 4*k**2 - q**3*y**2 - 2*q**3*y wrt k.\nAnswer: -132*q**3*y - 156*q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -215116 divided by 6?\nAnswer: -107558\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011101000001100101010 - 10?\nAnswer: -101011101000001100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 70*o + 976. Calculate w(-12).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 10)*(2 + 5\/(-2)). Let k(w) = 12*w**2 - w - 1. What is k(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 6*p + 5*p + 9 = 3*p, 2*p = -5*f - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (2 + -12) - 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -9. Let y = -10.23 + 0.23. Let v = y - f. Which is the smallest value? (a) 0.1 (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11026 (base 15) to base 8\nAnswer: -151424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - w**3 - w**3 + (3*w + 5*w**2 - 3*w)*(0*w + 4*w - 2*w))*(5*w + 6*w - 5*w) + 2*w**4 - w**4 + 0*w**4.\nAnswer: 49*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 294\/13, 0.2, 4\/3, -1?\nAnswer: 294\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = -51. Let w = 4 - q. Let i(v) = -v - 4. Let u be i(w). Which is the closest to -1? (a) -3\/8 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z + 6. What is the remainder when 442\/5 - -2 - ((-6496)\/160 + 41) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, c: 4, a: 2, s: 7}. What is prob of picking 1 a and 2 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420340111 (base 5) to base 6.\nAnswer: 101032144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45466546 (base 7) to base 9.\nAnswer: -7414767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4990424 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1) + -8 + 14. Suppose 1 = -2*u + r. Let d(c) = 14*c**2 + 7*c - 1. Let s be d(u). Calculate the highest common factor of s and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 5:55 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -2\/11 (c) 6 (d) -0.28 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*h**4 + 10*h**4 - 4*h**4 + (4 - 4 + 2*h**4)*(1 - 4 + 2).\nAnswer: 19*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577, 2776, 6451, 11602, 18229, 26332, 35911?\nAnswer: 46966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -242.283, 1\/4, 25\/29?\nAnswer: 25\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -1176?\nAnswer: -1167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -0.2 (c) -2\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8613801.\nAnswer: 3, 7, 136727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = 2*q - 460 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/22 + (-30)\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58295*q + 5*n = -58300*q + 35, -4*n + 28 = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 23 - 109 = -3*p, -5*p = 2*a - 52. Solve -174 = 42*l + a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536*c + 51 = -539*c - 17*j, -2*c + 3 = -j. Suppose -l = 3*l - 56. Let d be 15*(l\/6 - 2). Solve c = -f - 0 + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158.68883 - -158.7. What is d rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**7*a*a**(1\/7))**(-47)*((a\/a**(-1\/3)*a)\/a)**43\/(a**(1\/4)*a**7) assuming a is positive.\nAnswer: a**(23383\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 - 5*u + 4*u**2 + u.\nAnswer: 4*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 1:30 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiljiy. Give prob of sequence lijy.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.90167768 rounded to 2 dps?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 37. Calculate t(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6146, 6148, 6150, 6152, 6154?\n\"Answer: 2*l + 6144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17987 (b) -3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61051 is divided by 1272?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 76. What is the tens digit of i(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/1402 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-54)\/(-168))*30\/(-4). Let m be (1 - 0) + i\/63. What is the biggest value in 2\/7, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 159507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 255 = 213 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 29. Sort 0.4, 4\/3, s, 0.3 in descending order.\nAnswer: s, 4\/3, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/39*3*-5. Solve -5*i - r*a = -40, 6*i - 7*i - 22 = -5*a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39877481, 39877480, 39877479, 39877478, 39877477, 39877476?\nAnswer: 39877475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25860 - 0.07.\nAnswer: 25859.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 68?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11 = 53. Let t be (-12)\/8*f\/(-6). Let q = t - 4. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61429349 + -146989047. Let s = -85559661.9999998 - v. Let t = s - 36. Round t to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-18)\/(-3 + 0). Let s = w - -20. Let i(g) = g**3 - 2*g**2 - g. What is the lowest common multiple of i(3) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 105 = z. Suppose -5*l = -8*l - 3. Let g = z + l. Calculate the smallest common multiple of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.28 * -25.96.\nAnswer: -7.2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*d - 106*d + 24*d + 29*d + 21*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3307 + -295. List the prime factors of t.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -1\/30*z**6 + 1\/10*z**4 - 1\/5*z - 1\/25*z**5 - 1\/10*z**2 + 2\/15*z**3 + 1. Factor b(x).\nAnswer: -(x - 1)**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54.8 - -35.7. Let a = y + -91. What is the third biggest value in 3\/4, 0.5, 1, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvv when three letters picked without replacement from {m: 1, w: 1, v: 2, r: 6, q: 4, j: 4}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21708 is divided by 3117.\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 r when three letters picked without replacement from irigggiiaag.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 748 in -1\/7, 3, 6.5, -1, 1\/5, -2?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 + 6.737. Let r = -0.003 + v. What is r rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4046, 5664, 2420, -8116, -28374, -60784, -107776?\n\"Answer: -405*z**3 - z**2 + 4456*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 439 + -439.1. Which is the second smallest value? (a) 3 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3210177?\nAnswer: 3, 41, 26099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43319 is divided by 43253?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + y + 0)*(1048*y + 177*y + 741*y + 1364*y) to r + q*y + b*y**2 and give b.\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 555*x**2 - 10970*x - 11520.\nAnswer: 5*(x - 18)*(x + 1)*(x + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588366.\nAnswer: 2, 3, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) -20\/1053 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = -4*z - 253 + 527 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -113002233101311?\nAnswer: 113002233101321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 7*k**6\/30 + 5*k**5 + 29*k**4 - 112*k**3\/3 + 368*k**2. Solve g(p) = 0 for p.\nAnswer: -7, -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**3 + 40*u**2 + 147*u - 41. Determine m(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117438 - -11?\nAnswer: 117449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Let m(o) = -2929467*o. Determine m(v(g)).\nAnswer: 5858934*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37773803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42.1 times -0.4\nAnswer: -16.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/8 - 10821453*n**2\/8 - 1219831042734*n + 1219832395416.\nAnswer: -3*(n - 1)*(n + 1803576)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30*7\/((-21)\/(-30))*21*102\/(-16065)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**3*j**3 - g**3*j + g*j + 8*j**3 + 42*j wrt j?\nAnswer: 30*g**3*j + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 3. Suppose -5*m + 1 = -9. Suppose -3 = m*l + 3. Determine d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - u**2 + 2*u - 1. Let t be z(1). Calculate the remainder when (t - 1) + -5 + 6 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8150691 or -8150668?\nAnswer: -8150691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/165*11)\/(1\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357 by 813.\nAnswer: -119\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936085577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 396*a + 39204.\nAnswer: (a - 198)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30238*u + 26483*u + 32786*u - 16479*u.\nAnswer: 73028*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.05486 to 1 dp.\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 11 = -2*r + 2*i, 0 = -5*r - 3*i - 25. Let k = -256153\/22 - -11640. Calculate the common denominator of 1\/r - (-249)\/(-60) and k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.5, 7, 0.85, 2\/57.\nAnswer: 2\/57, 2\/7, 0.5, 0.85, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 25*n - 70. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 + -6. Let g = q - 46. Suppose 5*i - g = 3*u - 4*u, u = 4*i - 18. Solve 2*l + 18 = -i*p, -l + 5*p + 18 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 641*l**3\/2 + 1157*l. Let w(z) = 3*z**2. Calculate j(w(o)).\nAnswer: 5769*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 455 in decreasing order.\nAnswer: 455, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 0. Suppose -4*t = -g - 2*g + 3, -2*t = -5*g + 5. Suppose 5*h + m = g. Which is the closest to h? (a) -0.3 (b) -1\/7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8565, 8566, 8569, 8574, 8581, 8590, 8601?\n\"Answer: c**2 - 2*c + 8566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 857 - 491. Suppose 362*d = w*d - 8. Solve d*q = 6*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 64.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 18 - 42 + 27*p - 29 - 50 to r + l*p and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(-4 + ((0 + sqrt(2736))*-6 - sqrt(2736)) + (sqrt(2736) + 2*sqrt(2736) + -2 - sqrt(2736))))**2.\nAnswer: 2880*sqrt(19) + 273744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + 13*n**2 - 9*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.21251555 to zero decimal places.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itgiiiigtiiiggig. Give prob of sequence iig.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12*x**3 - 2*x**2 - 2*x. Let k = -3089 + 3085. Let h(n) = 37*n**3 + 7*n**2 + 7*n. Determine k*h(c) - 14*v(c).\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -52847284 and -2402.\nAnswer: -52849686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/13*j + 2\/13*j**2 + 2\/13 = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.3 times 15333.7?\nAnswer: -96602.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.22 + -20. Let q = y - 0.12. Let i = -5.6 - -5. What is the second biggest value in i, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8, -2 in decreasing order.\nAnswer: 8, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11.7 (b) 0.1 (c) -128\/5 (d) -3 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 39 - 32 - 25.\nAnswer: 2*t - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 647 * -420.\nAnswer: -271740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -18 - 9\/2*z**2 - 5*z + 1\/4*z**4 - z**3. Factor m(h).\nAnswer: (h - 5)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/32 - -21\/352. Which is the biggest value? (a) 3 (b) -10 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6453*l + 6473*l + 120 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2648 = -27. Suppose 4*v - 7 = -y + 143, -3*v = 4*y - m. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68740311 and 1164?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3*sqrt(5) + 2)**2 + 3*(sqrt(5) - sqrt(40)\/sqrt(8))).\nAnswer: -60*sqrt(5) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35793 is divided by 347.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 652 - 364. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 5 in increasing order.\nAnswer: -5, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -732 + 845. Let r be 2\/9*(-77 + g). Is r smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93075799084 and 729.\nAnswer: -93075798355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 501215, 1002433, 1503651, 2004869, 2506087, 3007305?\nAnswer: 3508523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17484 = 5*r + 4*p, 35*r = 41*r - 4*p - 20972. What is the lowest common multiple of 54 and r?\nAnswer: 94392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 873 and 1821951?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufbbublbbbbfbbnb. Give prob of picking 1 l, 1 b, and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2402*r + 4*c - 132 = 2393*r + 5*c + 2*c, r = -c - 40 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1927*h = 3*d + 1923*h + 24, -2*d + 7 = 5*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + -21)\/(-5) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 772 a factor of 6074771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -53 + 73 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 5. Let f be t(-5). Let q(c) = 18*c - 143. Let g be q(8). Let x be (f - 2)\/(g - 8). Sort x, 3, -2.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 14) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gy when two letters picked without replacement from ggbgyytygtbgbybbygg?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.11 - 4.3. Let q = -0.91 + t. Let s = q + 0.1. Which is bigger: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 740 and 370?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134497 and 48908.\nAnswer: 537988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 873920 and 21440.\nAnswer: 58552640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1738888, -3477835, -5216782, -6955729, -8694676?\n\"Answer: -1738947*t + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 6*l**2 - 2*l + 20. Let c be h(-6). Let k = 40 - c. Sort -3, 5, k in decreasing order.\nAnswer: k, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**2 + 5*x**2 + 59*x**2 - 2500 - 106*x**2.\nAnswer: -x**2 - 2500","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 19*r - 3. What is the tens digit of y(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**4 - 1186*y**3 - 44066*y**2 + 96474*y + 139356 = 0.\nAnswer: -553, -42, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400356880.\nAnswer: 2, 5, 7, 11, 103, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -410 - -410.4. Suppose 2*k - 47 + 55 = 0. Which is the third biggest value? (a) k (b) r (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9379 and -288.\nAnswer: -2701152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhbbbbbbbhbbbbhb. Give prob of sequence hhb.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16364.\nAnswer: 2, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 151*o - 315*o - 471*o to the form r + g*o and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 31) + 28 + -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1006 (base 7) to base 11.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/9 - 2*x**3\/9 + x**2\/6 + 8*x. Suppose u(f) = 0. Calculate f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11320 is divided by 11227?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1978 by -231544.\nAnswer: 989\/115772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 114 = -5*x, -6*x - 92 = -10*x - 4*k. Calculate the remainder when 62 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -680 = -24*k + 184. Sort 1, k, 4.\nAnswer: 1, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15053\/11 + 1369. Let i = 1.7 - 1.7. Which is the biggest value? (a) u (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1574 in -5, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1604292.9 hours to weeks.\nAnswer: 9549.3625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -11\/2*f**2 - 70*f + 0 + 1\/6*f**3. Let h(x) = -2. Give 22*h(w) - 4*s(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 28*s**2 - 74 + 23*s**2 + 5*s**2 + s**4 as m + b*s + j*s**4 + n*s**2 + z*s**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4360 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 7*r + 9. Suppose 3*v - 26 = 4*b, -v = b + 2*b. Let h be j(v). Suppose u = -4, h = -z - 4*u - 6. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30212)\/(-24) - ((-115)\/(-30) - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 10*p**2 - 2*p. What is c(-4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/30 - -1) + 334\/20. Which is smaller: b or 17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -6*b**2 + 10*b + 113. Let g be m(-6). Is -161 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186034?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35304 is divided by 8822?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18451, 36563, 54675, 72787, 90899, 109011?\nAnswer: 127123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*l - 2 = -5, -3*l = x - 5. Let k be (-2*2)\/(x\/(-4)). Suppose 10 = g + 2*h, -4*g - k + 4 = -3*h. Solve y - g = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 14950.\nAnswer: 119600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t - 10 = 49*t. Suppose 139 = 3*k + n, t*n = -4*k + 9*k - 250. What is the highest common divisor of k and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 209, 208, 207, 206?\n\"Answer: -g + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 55, -3*d + 58 = 4*b + 93 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(11 + 20 + -13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/70*2 + (-79)\/(-5). Suppose 0 = 121*p - 123*p - 10. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*z + 92316 - 92316.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 208*r - 206*r + 43, r + 84 = -15*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 181 or 180?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*j + 10542 = 0, -5*j - 2 = -3*j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**4\/18 + 4*w**3\/9 - 11*w**2\/9 + 4*w\/3 + 14. Suppose r(f) = 0. What is f?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/298263 and 4\/7.\nAnswer: 298263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -69, -155, -263, -387, -521, -659, -795?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 - 6*y - 4. Let o(c) = -4*c**2 + 3*c + 2. What is -7*o(d) - 3*z(d)?\nAnswer: d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 y when four letters picked without replacement from {v: 4, y: 3, l: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 53*r**2 - 33*r + 204. Calculate the remainder when 626 is divided by y(27).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 577*p**3 - 259*p**3 - 11*p**4 - 307*p**3 + (3 - 3 - 1)*(-2 + 2 - 2*p**4) + 0 + 3*p**4 + 0.\nAnswer: -6*p**4 + 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d + 18. Let n be m(-19). Let v = n + 158. Is v at most as big as 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13436, -13864, -14564, -15530, -16756, -18236?\nAnswer: -19964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five halves of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127844027*c**3 + 10*c**2 + 15519647 wrt c?\nAnswer: -767064162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 5*t)*(62*t - 215*t - 149*t + 44*t).\nAnswer: -516*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 31 + (13 - -1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 224*t**2 - 3 - 219*t**2 + 456*t**2.\nAnswer: 13*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f. Suppose 0 = 3*v - 7 + 1. Let t(h) = -h**v + 7*h**2 - 5*h**2. What is r(t(m))?\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -1, -4, -0.3, -2 in increasing order.\nAnswer: -4, -2, -1, -0.3, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2. Let p(z) = -8*z**2 - 5. Give j(p(s)).\nAnswer: -128*s**4 - 160*s**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*-72498.\nAnswer: 2682426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 386985299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 408, 805, 1204, 1605?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1511805, 3023606, 4535405, 6047202, 7558997?\n\"Answer: -f**2 + 1511804*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 3. Let v(b) = 4*b + 1. Determine -3*v(g) + 3*x(g).\nAnswer: -3*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (1 + sqrt(99) + sqrt(99)*3 - sqrt(99))) + 1*sqrt(99)*-3)**2 - ((0 + sqrt(1331) + 2)**2 - ((-1*sqrt(1331))**2 + -2)).\nAnswer: -14*sqrt(11) + 2470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-13 - 13*k + 13) + 10*k + 17 - 17.\nAnswer: 23*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25808*w + 396*w + 4548*w - 1403*w)*(4 + 5*w - 4).\nAnswer: 146745*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = 45*j - 70. Let l(r) = -r - 1. Let b(c) = -39*c - 39. Let f(t) = 3*t + 3. Let v(n) = -2*b(n) - 27*f(n). Give j*l(s) - 2*v(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*c = -0*c + 4, -5*q - 3*c - 2 = 0. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfxfxxjxxfoofojj. What is prob of sequence xj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 2*m**2 + 1 + 55*m + 45*m - 4*m**3 - 58*m to the form c*m + w*m**3 + q + p*m**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from mmwykty.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 17, 2, -4, -5, -19\/61?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19693.521 rounded to the nearest ten?\nAnswer: 19690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63715, 130505, 197295, 264085?\nAnswer: 330875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 13*m + 6. What is n(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -1904, 4, 36.\nAnswer: -1904, 3, 4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-14)*1\/(4*(-7)\/(-392))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*z + 4*y, z - 26 = -4*y - y. Suppose -258 = -z*a - 66. Calculate the least common multiple of a and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*j**3 + 26*j**3 + 71*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18246 bigger than 18245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30589 is divided by 828.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 3*d**5\/20 + d**4\/4 - d**3\/2 - 3*d**2\/2 + d. Let l(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from {m: 5, s: 1, x: 6, k: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5147.216g?\nAnswer: 0.005147216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1920 and 60?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 2*p + 5133 - 5155 = 0, t = -p + 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1641\/21)\/((-12)\/(-84)). Let u = l + -529. Solve 2*c = -4*c - u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -374, -2 in decreasing order.\nAnswer: 7, 2, -2, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246777.\nAnswer: 3, 19, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 670534 and 1074.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 16*v - 96. Let o be r(-12). Solve o = 13*t + 73 - 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/240*-35*(-40)\/(-35)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2802 + 5335. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32.76+5\nAnswer: 37.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, -5, -213, 3 in descending order.\nAnswer: 4, 3, -5, -16, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m - 6. Let y be i(-9). Let f = 8 - y. Let h = f + 63. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, e: 4, q: 3, r: 4}. What is prob of picking 1 q and 2 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.806 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i - 43*i = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -249, -337, -483, -717, -1069, -1569?\n\"Answer: -5*f**3 + f**2 - 56*f - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324098165 to the power of 1\/2, to the nearest integer?\nAnswer: 18003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 402, 796, 1180, 1548, 1894, 2212, 2496, 2740?\n\"Answer: -u**3 + u**2 + 398*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:29 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 3, d: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(793\/52 + -15). Let w = 70 - 92. What is the closest to i in w, -1\/2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - z**2 + 16*z - 2. Let q be f(-5). Let b be q\/4 + (5\/10 - 0). Suppose k = b*k - 500. Calculate the greatest common divisor of 25 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -109*w**2 + 6*w + 45. Let s(a) = 108*a**2 - 7*a - 46. Let i(h) = 7*c(h) + 6*s(h). What is the first derivative of i(u) wrt u?\nAnswer: -230*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6064515 is divided by 317.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20814023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5062?\nAnswer: 2, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((28 + 36 - 22)*(11*t + 5 - 5) - 3*t + 5*t - 4*t)*(-2 - 4 + 2)*(0 - t + 0)*(-5*t**3 + 3*t**3 - 4*t**3).\nAnswer: -11040*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*z = 37126 - 36526 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 13 + 3 = 0. Let g(f) = f**2 + 7*f + 3. Let t be g(a). Let v be (-2)\/7 + (-3475)\/(-35). Calculate the greatest common divisor of t and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37910)\/(-4460)*(-24)\/34?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126848.\nAnswer: 2, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 3*w**2 + 6*w - 1. Let x be p(4). Let y(v) = v - 5*v + x*v. Let k(j) = -7*j**2. What is y(k(g))?\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*w, 68*f = 65*f - 3*w - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -17.8225, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 9*h + h + 0*h - 15*h as d + j*h and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 7. Let w = 14 + v. Sort 2, w, -0.3 in descending order.\nAnswer: w, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.06 + -17.06. Sort a, 8, -10, 1 in increasing order.\nAnswer: -10, 1, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04227006 to four decimal places.\nAnswer: -0.0423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28862 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*x + 27*x + 4*q + 35, 2*x = 5*q + 31 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) -0.4 (c) -2\/9 (d) -5 (e) 0 (f) 4607\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 607, 1093, 2401, 4939, 9115?\n\"Answer: 68*j**3 + 3*j**2 + j + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.019*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 148*c - 1. Let t = -6 + 7. Let o be i(t). Calculate the common denominator of ((-4)\/12)\/(4\/o) and 29\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzimmmzqmqmimmmzzmz. What is prob of sequence mm?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -36*h + 1160. Let l be b(12). What is the greatest common divisor of l and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -68907?\nAnswer: -68902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*o + 45, -173*o + 178*o - 25 = -p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -421761*x**2 + 21722*x - 5 wrt x.\nAnswer: -843522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*c = -13*c + 178. Solve c*f - 5*z = -1 - 21, -4*z + 14 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 11*f**2 - 10*f - 5. What is u(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (4 - 7)) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148927933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -508 - 92. Let z = -68 + y. Is z a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 34*r**3 + 24*r**2 - 15*r + 96. Let c(y) = -45*y**3 - 25*y**2 + 14*y - 95. Let x(h) = -3*c(h) - 4*k(h). Calculate x(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10213339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o - 629. Suppose 5*s - n = 2*s + o, -s = -3*n - 215. What are the prime factors of s?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (540\/(-6))\/(-10) + 0. Let g = -1 - 0. Sort i, g, 2 in descending order.\nAnswer: i, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-165)\/9) + (-406)\/924\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*t**4 + a*t**2 + 1119*a + 77*t**4 wrt t.\nAnswer: 8*a*t**3 + 2*a*t + 308*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/8 + 7*f**4\/24 + f**3\/6 - 5*f**2. Let s(q) be the first derivative of b(q). Differentiate s(r) with respect to r.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*g - 188 + 114 + 52*g**2 - 24*g + 134 + 4*g**3 = 0. What is g?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -800845.\nAnswer: -400422.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55564*s**2 - 1832.\nAnswer: 111128*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from dddgmqgdmgq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 104*t + 2071. Calculate p(-121).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 n, and 1 m when four letters picked without replacement from mnnannaoom.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27706 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvy when three letters picked without replacement from {e: 2, q: 1, v: 1, y: 2, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j - 2. Let x(l) = -13*l + 4. Suppose 2*p - 3*z + 6 = 0, 3*p - z = -2 - 14. Determine p*x(a) - 11*r(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.42 + 19.42. Sort x, 5, -2\/7.\nAnswer: -2\/7, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2696349 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (72\/48)\/(((-19)\/95)\/((-104)\/12))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 168214258 and -1451150.\nAnswer: 166763108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3))**5)**(3\/8)*(k**0\/(k*k**(-5)))\/(k*(k\/((k*(k\/(k\/(k\/(k*k**3)))*k*k)\/k)\/k*k)*k)\/k*k*k**(1\/9)) assuming k is positive.\nAnswer: k**(41\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111000100011111111001 (base 2) to base 3\nAnswer: 10111011102200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 481366*k**3 + 7 - 4.\nAnswer: -481366*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - i**2 - 2*i - 1. Suppose 4*p + 39 = -17. Let y(k) = k - 26. Let b be y(11). Let x = b - p. Give w(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254 (base 12) to base 10\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:52 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 83900 * -1442\nAnswer: -120983800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -178341.2 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3649, 7296, 10931, 14548, 18141, 21704, 25231, 28716?\nAnswer: 32153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.049 - 4.999. Let b = 0.05 - t. Let y = -215\/4 - -54. Sort b, -1\/5, y in increasing order.\nAnswer: -1\/5, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 1. Let u be ((-7 - -1) + 3)*1. Let j(o) = -2*o**2 - 4*o + 4. Give u*j(w) + 12*r(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4546*c + 4535*c + 18755. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 0 + (-11)\/(-55) + 1932\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - -85. Let c(f) = -2*f - 17. Determine c(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529 (base 10) to base 9\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 0.124?\nAnswer: -0.03844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 21*v**2 + 27*v - 117. Suppose -39038*i + 39055*i - 374 = 0. Calculate a(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2256483996 to the nearest integer?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-10)*160\/(-3360)*(-35)\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*j**4 + j + 1117 + 93*j**4 - 40*j**4 + (2 + j**2 - 2)*(-3*j**2 + 2*j**2 + 3*j**2).\nAnswer: 4*j**4 + j + 1117","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3072816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6789906ml?\nAnswer: 0.0006789906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0938 + 0.097. Let f = a + -0.0032303. What is f rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*h + 5*t + 7, -2*h + 2 = -4*t. Let p be h\/4 - (-291)\/12. Suppose -5*q + p = -26. Calculate the greatest common divisor of 100 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -8. Let o = m + 5. Which is the third smallest value? (a) -1 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - 0.04. Let h = 1.42 + x. Let z = -1 + h. What is the nearest to 1 in -0.2, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-2))\/((-11)\/(-2)). Let t = -46 + 48. Let -2\/11*l**t + 2\/11 + 2\/11*l - a*l**3 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 297*f**2 - f**3 - 9 + 303*f**2 + 2*f. Let j be g(-4). Solve s = -o, s + o = 5*s - j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025355 to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*k - 82 = 4*t, -3*k = 4*t + 61. Let n = t - -46. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112 + -110. Let q(t) = 2*t**2 - 2*t. Let x(y) be the second derivative of y**5\/20 + y**4\/4 - y**3\/2 + y**2\/2 + y. Give h*x(d) - 3*q(d).\nAnswer: 2*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2 + sqrt(1053) - sqrt(1053)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*q)*(q**3 - 2*q**3 - q**3) + 568*q**3 - 568*q**3 + 38*q**4 to the form b + p*q**2 + w*q**4 + h*q + i*q**3 and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 206 + -392. What is the common denominator of 139\/144 and 2\/176*7719\/r?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.8 - 2.2. Let f = o - -25.8. Let i(v) = v - 1. Let m be i(6). Which is the closest to 0.1? (a) f (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g**2 - 60*g - 4. Let s be k(-4). Is s\/25 + 5618\/10 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8744699 is divided by 8744402.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 1 + 0 + 2 + (2183 - 2158)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 3. Suppose 3*j - 33 = 3*u, 3*u + 2 = u - 2*j. Let d be a(u). Is 5 a factor of (3\/2 - d\/6) + 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 724877868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 288 = 240 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-672)\/3 - 6\/(-9)*3. Let q = d + 300. What is the greatest common divisor of 39 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 54*y**4 - 5*y**3 - 7*y**2 + 5*y. Let d(q) = -27*q**4 + 2*q**3 + 3*q**2 - 2*q. Let a(n) = 5*d(n) + 2*v(n). Find the third derivative of a(x) wrt x.\nAnswer: -648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/(-378))\/(16\/72)*140\/50.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -9, 132, 325, 546, 771?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 3:42 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c - 109. Let t be i(18). Let r(a) = -21*a + 9. Let y(p) = p**2. Let b(l) = t*r(l) - 2*y(l). What is the derivative of b(d) wrt d?\nAnswer: -4*d + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 275, 248, 24, 3 in increasing order.\nAnswer: 3, 24, 248, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 554406900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.083349109 rounded to three decimal places?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 456 - 3?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1644, -1419, -1194, -969, -744, -519?\n\"Answer: 225*t - 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.1 - -7.98. Which is the fourth biggest value? (a) -3 (b) -0.06 (c) -1\/5 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -49, -50, -51, -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence log when three letters picked without replacement from {o: 1, l: 1, c: 2, g: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 11*i - 7. Let q be h(-12). Suppose -31 = -3*s + q. Find the common denominator of (-42)\/s*(-12)\/7 and 58\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 38 = 4*l - 5*o, 5*l = -4*o + 44. Sort 2, 5, -1, -5, l.\nAnswer: -5, -1, 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-2))\/(-7 - -6). Let h = -2 - r. Calculate the common denominator of 37\/34 and h\/(-18) + 454\/(-180).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7817.697ng?\nAnswer: 0.000007817697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12 and 1389.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/5)\/a)\/a)\/a)**(5\/4)*(a*a**(-2\/3))\/a*a*a\/a**(-2\/5) assuming a is positive.\nAnswer: a**(-91\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 9, -5, 11 in decreasing order.\nAnswer: 11, 9, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.5 - -1.5. Let x = q - -38. What is the third biggest value in x, 2.6, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6*4*27\/36. Suppose -5*v = 4*k - 15940, 4*k - 15940 = n*v - 0*v. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 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 third derivative of -62302203*q*z**3 + q*z**2 + 3*q*z + 13579*z**2 - 4*z + 1 wrt z?\nAnswer: -373813218*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47259847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -412 - 182. What is the remainder when r is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 956 divided by 168351\nAnswer: 956\/168351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100783036 and 22.\nAnswer: 1108613396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5 - j + 0*j**2 + 4*j**2 + 2*j - 5*j**2. Give i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3410 = 724*h + 26578 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*-5*(-9)\/15?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 159144 and -0.13879.\nAnswer: 159143.86121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1007 + -1592. Is -1 - (4 + -3) - v\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.86535 millilitres?\nAnswer: 0.09586535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 10*x + 36 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1180 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-990)*18*(-21385)\/182\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 15*k**2. Let p(w) = -18*w + w**2 - 2*w**2 + 16*w + 2*w. Calculate s(p(y)).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 88. What is y(20)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**3 + 16*c + 11. Calculate r(-5).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157983, 157991, 158003, 158019?\nAnswer: 158039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = -26*m + 90 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/10 + 2*k**4\/3 + 11*k**3\/6 - 5*k**2 + 240*k. What is the units digit of c(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6639792105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 97.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2391610*m**2*z**2 + 2*m**2*z - z**2 + 14*z - 79316 wrt m.\nAnswer: -4783220*m*z**2 + 4*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/296 and 47\/64.\nAnswer: 2368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 76*j - 222. Give c(73).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 1:16 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 296 = 46*i. What is the greatest common factor of i and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 9. Let t = 165\/8 + -801\/40. Sort k, t, 3 in descending order.\nAnswer: 3, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + 1)\/(2\/56). Let n = -114 + k. Let d = n - 90. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 26. Let y = -10.2 + k. Which is the second smallest value? (a) y (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -1, -2.\nAnswer: -33, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/64 + 6\/(-2))\/(238\/(-3604)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 1 = 35. Suppose 0*o + 4*o - 48 = 0. Calculate the smallest common multiple of o and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4734.544245 minus -3?\nAnswer: 4737.544245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*x**3 + 2*x**2 - 2*x - x**4 + 14*x**3 + 0*x**3 - x**2 to i*x**2 + v*x**3 + p*x + j*x**4 + n and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8117 + -373.1883. Is g < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/1357 + 246992\/4071. Let m = -60 + b. Let q = 10 - 7. Sort -0.1, q, m in descending order.\nAnswer: q, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54466363 by 6.\nAnswer: -54466363\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.77886 - 393.78886. Let u = 389 + j. Let f = 0.01 + u. Which is the smallest value? (a) -5 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27166 and 22542?\nAnswer: 1059474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 24*v - 19*v = 352 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1366414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 241192\/9 + -2 + ((-9)\/(-9))\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83096 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -152, -312, -540, -842, -1224?\nAnswer: -1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-638)\/(-44)*705\/(-10). Which is smaller: -1023 or w?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2034162639 to the nearest integer?\nAnswer: 45102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**2 - 7*q + 57. Determine f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 3*h - 5. Let o(g) = g**3 + 5*g**2 + 2*g + 3. Let c be o(-3). Let f be 16\/6*c\/(-10). What is p(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**2 - j**4 + 6*j**2 - 17*j**3 + 6*j**3 to the form d + a*j + h*j**4 + n*j**2 + w*j**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/7*28\/70?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 6*o**2 - 2*o - 11. Let y be b(-6). Solve 2*p - 2*s = y + 5, -6 = -2*p + 5*s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 - 15*a - 29. Calculate c(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -10*(-2)\/(-12)*-3. Suppose 7*q - x*q + 24 = 0. Let m = q + -24. Is -35 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, 5, -0.2, 1\/12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1, 12 in decreasing order.\nAnswer: 12, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -8. What is the remainder when 2\/4 - (-282)\/x is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d - 457 + 457.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1*f)**(1\/11) assuming f is positive.\nAnswer: f**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-7)*602\/(9718\/113).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25418022 divided by 605191.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 30*r + 311. Determine s(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from owowhphvhho?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**6 + a**4 - 121*a**3*z**3 + 185*a**2*z**2 - 2*a*z**3 + 2*a*z**2 wrt a.\nAnswer: -360*a**3 + 24*a - 726*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 5, 3, 3\/2 in decreasing order.\nAnswer: 5, 4, 3, 3\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*p = 65*p + 24. Suppose 4*u = p - 0. Let k(r) = r**2 + 5*r + 6. Let i(m) = 1. Let w(v) = u*i(v) - k(v). Determine w(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377549 is divided by 62923.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwzwwwwwzw.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.018 + -2.982. Suppose 4*s + 0*o = -o + 3, 0 = 4*s - o - 13. Let k = -117\/4 - -29. What is the smallest value in r, k, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1610600 is divided by 53.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32902 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -d9d9?\nAnswer: d9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - -14 - (4 + -1). Solve c = -4*b + b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/9 - 41741*l**3\/9 - 9134554*l**2\/9 - 524755756*l\/9 - 942902648\/3 = 0. Calculate l.\nAnswer: -106, -6, 41959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 14*f + 11688 = -11*f, 0 = 3*o + 4*f - 8766. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -8 - 10) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.167? (a) -2 (b) -21 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -96547*u**5 + 152865*u**2?\nAnswer: -5792820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4175146 + 2170598. Let i = b - -2004561.99961. Let z = i - 14. What is z rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.11, -5, -4\/7, 4, 393.\nAnswer: -5, -4\/7, -1\/5, 0.11, 4, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 148 = 3*r + 134, -5*t + 10 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -828 - -872. Suppose -350603 = -p*a + 33*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/7)\/l)\/(l\/(l*(l\/l**4)\/l)))\/((l\/l**1)\/l**1) assuming l is positive.\nAnswer: l**(-25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3.2. Let p = 3.8 - x. Which is the second smallest value? (a) 2\/7 (b) p (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.147 + -77.853. Let g = n - -77.9999866. What is g rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 299, 2213, 7393, 17471, 34079?\n\"Answer: 272*r**3 + r**2 + 7*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 5*i + 1. Suppose 5*z - 25 = -15. Give m(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121525 - 1212?\nAnswer: -123141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8.3. Let s = 85715 + -85706. What is the nearest to -1\/6 in t, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 4, t: 2, m: 1}. Give prob of sequence hhn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632 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 micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.055 - -0.08. Let k = t - 0.046. What is k rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 - 35 = o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32219711.5 + -2818.\nAnswer: 32216893.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103\/5 + 21. Suppose -3*b + 3 = -3. Suppose -b = g + g. Put -4, g, c in ascending order.\nAnswer: -4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/986 and -157\/1428.\nAnswer: 41412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**3*a*a**(-9))\/(((a\/a**(4\/17)*a)\/a)\/((a\/a**(-14))\/a)))**(-38) assuming a is positive.\nAnswer: a**(-7258\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-3) - 2)\/(-72 - -77)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/12 + (4\/(-12))\/(1\/3). What is the third biggest value in s, 5, 0.34, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 + 288\/(-8 + -10). Solve 5*p = -5*b - j, 5*b - 26 = 3*p + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -91.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4455*z - 1006*z + 3250*z - 908*z.\nAnswer: 5791*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x = 34 + 130 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 3*m + 2. Let k be y(-3). Let h = k - -3. Solve -w + 5*z = h + 4, -1 = w + 3*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3588 is divided by 1150.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -183920 times -119?\nAnswer: 21886480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -f + 133, 0 = r - 2*r - 3*f + 21. Calculate the least common multiple of r and 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25257359 a multiple of 1559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 3*b + 5*b - 21 + 2*b - 18*b as s + k*b and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/16, -2, 7, 0, 8, 3\/2, 1?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 18. Let w = -12 - u. Let s(d) = d - 4 - w + 1. Give s(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from oagogaqqaoovgoggqg?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from ukncinci?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k + 1 - 48*k + 8*k - 79*k.\nAnswer: -142*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 2*q**3 - 1 - 11*q**3 - 7 + 5.\nAnswer: -14*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) 1 (c) -1 (d) 0.087\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**5 - 40*b**4 + 182*b**3 - 236*b**2 + 96*b = 0?\nAnswer: -24, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*h = 22542911 - 4444180 + 10841321. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1.13\nAnswer: 0.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 2. Suppose b = 2*b + 4*y - w, -48 = -2*b + 3*y. Let s = b - 9. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3, -1\/3, -72?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -832 - -833. Let j be ((-55)\/385)\/(i\/(-14)). Solve j*n = 4 + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188458 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 9:19 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-6)\/4 + 0. Suppose h = 6*p - 3*p. What is the greatest common factor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 7*g**2 - 9*g - 12. Suppose -28 = 3*x - 4. Let r be s(x). Let d = 3 - r. Calculate the remainder when 19 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1799.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 229*c + 21 - 13 - 237*c + 459*c.\nAnswer: -7*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 7:13 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*n - 158, -30*n + 29*n - 4*y = -32. What is the remainder when 180 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -20.9 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 109650473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (-1377 + 1263 - (-36 - 1))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**2 - 12996*m - 13000 = 0?\nAnswer: -1, 3250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-6 - (-5 + 10)) + (5 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -45, -42, -39, -36?\n\"Answer: 3*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 13. Let i = 26\/369 + -12\/41. Which is the second smallest value? (a) z (b) i (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m*o*u**3 + 7*m*u**3 - 170*m + 786*o*u**3 - 2*u**3 wrt o?\nAnswer: -4*m*u**3 + 786*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -481365532 by -4.\nAnswer: 120341383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644060, 1287632, 1931204, 2574776?\nAnswer: 3218348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 13, e: 6}. Give prob of sequence eiie.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/3 + -2 - 3. Is 0 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -22. Suppose -3*d - 2*d = -25. Calculate the remainder when v is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 3.56\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/3 or 46?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26328 is divided by 99.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 + 35102*j + 316574. What is u(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/28*10\/(-3). Let s be 2 + ((-18)\/(-10) - 1)\/((-45)\/(-225)). Solve b = 2, y*i + b + b + s = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2670696 is divided by 267069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 389149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/20 + 5\/(-4). Let l be 0\/(-1*(f - -2)). Solve l*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142634469 a multiple of 8472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -447 - -379 - (-54 + 5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1356442*m**4 - m**2 - 1414813*m wrt m.\nAnswer: 32554608*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*2 - (-1008)\/1440*2*2\/(-7). Factor 0*r**2 - 2\/5*r**3 + 0 + a*r.\nAnswer: -2*r*(r - 3)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + q = 13, -4*q = -d + 5. Let n be 1 - (d + 2)*5. Find the second derivative of -2*t**3 + 3*t + 6*t**2 - n*t**2 wrt t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -47788*a - 430080. Determine s(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/9078 and -121\/54.\nAnswer: 81702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/15)\/((-6)\/30). Let u(r) = r**3 + 3*r**2 + r + 2. Let b be u(o). Suppose -b = -3*w - 1, 5*w - 13 = -4*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4584910.\nAnswer: 2, 5, 11, 41681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -243.01 - -243. Is d >= -20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 254810?\nAnswer: 1019240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - -36 - (-2 + 2 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60946 - 60943. Find n, given that 1\/10*n**2 + 0 + 1\/10*n**5 - 1\/10*n**a + 0*n - 1\/10*n**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 52560105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 17 + 53 = 0. List the prime factors of (-8)\/(-12) - (-170)\/a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -170878 - 0?\nAnswer: -170878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 5760 = 8*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577437279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 518 - 134 = -2*m. Solve -m*b + 26*b + 36 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/2)*a**17\/a*a\/a**(-1\/4)*a\/(a**12\/a) assuming a is positive.\nAnswer: a**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**43*x)*x**(-25) assuming x is positive.\nAnswer: x**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/4)\/(3\/12). Let a(r) = -62 - 69 - 58 + 182 - r. What is a(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 65 + 68. Suppose 5*z = 4*u - 1734, -5*u + 2161 = -0*u - c*z. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 299.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 9*d**2 - 6*d + 7. Let k be y(-8). Let a(f) = -5*f + 2. Let n(t) = -11*t + 4. Calculate k*a(z) + 4*n(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -384, -1414, -3124, -5508, -8560, -12274, -16644?\n\"Answer: z**3 - 346*z**2 + z - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(d**2 + d**2 - 4*d**2 + 2 + 2*d**2 - 2 + (-5*d**2 + 3*d**2 + 4*d**2)*(-25 + 17 - 11) - 4*d**2 + 0*d**2 + 3*d**2)*(-d**2 + 2*d - 2*d).\nAnswer: 39*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 2, f: 4, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - b - 1006 = -182, 0 = -f - 2*b + 809. What are the prime factors of f?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0696395759 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 + -115. Suppose 4*v - a = b, -3*v + 0*v + 12 = 3*b. Solve v*g + 3 = -5*f, -g + 0*f + f = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29587 - -29603. Suppose -5*x + 3*x + 2*h + 84 = 0, 38 = x - 2*h. What is the remainder when x is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-330)*(1 - -32) - 2. Which is the nearest to -10? (a) 0.3 (b) -0.5 (c) -1\/4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n + 2*h = -115, -5*h = -n + 4. Which is smaller: -24 or n?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1872) + 2 + sqrt(1872) + -3 - (sqrt(1872)*1 + 5) - 5*(3*(0 + sqrt(1872) + sqrt(1872) + sqrt(1872))*-6)**2).\nAnswer: -136468830 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*g - 214*g + 881*g - 13*g + 822*g to the form f*g + c and give f.\nAnswer: 1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -366102, -732251, -1098398, -1464543?\n\"Answer: l**2 - 366152*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {i: 5, q: 7, c: 2}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q**2 + 9*q**2 - q**2 + q - q + q**2 + 2*q**2 - 4*q + 4*q - q**2 + 2*q**2 + q**2 + (-q + q + q)*(4*q - q - 2*q) + 2 - 2 + q**2 + 2*q**2 + q**2 - 5*q**2.\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 3025*f - 7. What is i(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**3\/4 + 2193*a**2\/4 + 546*a - 1095 = 0?\nAnswer: -730, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:58 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7781?\nAnswer: 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 211684, 211683, 211682, 211681, 211680?\n\"Answer: -m + 211685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjjjjbjjbtjtjj. What is prob of picking 2 j, 1 t, and 1 b?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20236103?\nAnswer: 17, 1190359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5289 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2783*u - 44. Let z(t) = -696*t - 10. Give 2*y(a) - 9*z(a).\nAnswer: 698*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 + -224. Let l(k) = -10*k**2 - 3*k - 2. Let z(v) = -v**2 - v. Let o(p) = f*l(p) - 2*z(p). Determine o(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 14) to base 6\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 7*t**2 + 4*t + 14. Suppose 105 = -41*s + 351. Determine g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 20?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*((sqrt(48)\/sqrt(2) - sqrt(24)) + sqrt(24)))\/sqrt(12) - (sqrt(2) + 0 + -1 + sqrt(2) - (-2 + sqrt(32)))) + 3)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1219 and 101\/2.\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4453351 (base 6) to base 3\nAnswer: 102102122011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*(19 - (-1184)\/(-48) - 2).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -301038 + 4364326. Let f = 3234644 + x. What is f rounded to the nearest 10000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168788d (base 14) in base 4?\nAnswer: -222102032211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 51. Let j be -6*(-5)\/g*(-12)\/10. Solve j*d - 4*z + 12 = 0, 2*z - 3 = -3*d - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d - 72. Let b be y(10). Let t be (-10)\/(-2) + 3 + -4 + b. Calculate the highest common divisor of 28 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, t: 13}. What is prob of picking 2 t?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34.94 + -5.84. Let m = 39 - v. Let i = m + -9.8999715. Round i to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 divided by 17\nAnswer: 419\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 11*l**2 + 14*l - 30. Let v(u) = -u**2 - 20*u - 7. Let j be v(-19). Let y be s(j). Let h = -2 + 1. Is y < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27555404?\nAnswer: 2, 31, 359, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(24)\/sqrt(2) + -5 - ((-1*sqrt(243))**2 + 1 + sqrt(432))).\nAnswer: 60*sqrt(3) + 1494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - (-118)\/6)*(-18)\/(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 54 = 9*a. Let j be (-9)\/a + 304\/3. Round j to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 0.3, -0.176, 5\/12, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/7 - 149*i**3\/7 + 148*i**2\/7 = 0. Calculate i.\nAnswer: 0, 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18041768729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Let r = -0.258 + 1.258. Suppose 3*z - 5*h = 20, 2*z - h = -6*h + 5. What is the fourth smallest value in r, z, c, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120846587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**2\/2 + 7. Let j(u) = -11*u**2. What is o(j(c))?\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**4 - 42*v**2 - 3*v**4 - 8*v**4 - 2*v**4 wrt v?\nAnswer: -240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gegvgeggegggygg. What is prob of picking 1 g and 1 y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 + -9)\/(-3 + (0 - -6)). Suppose -3*p - 22 - 60 = -2*y, i = 4*p - 8. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 1182*v = -1181*v - 612, 44 = -2*q - 5*v for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 2431\/325)*(-26)\/78?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56137462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 3565830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2751\/380 - 3\/76. Let r be ((-47)\/15 + 3)*25\/(-15). What is the closest to -1 in 5, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138.49335 minutes in hours?\nAnswer: 2.3082225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 149. What is g(0)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m**2 - 14*m + m**3 + 79*m**2 - 513.\nAnswer: m**3 - 14*m - 513","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 51, 3 in increasing order.\nAnswer: -2, 3, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 685591 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4697729\nAnswer: -4697725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*k**4*z + 2*a*k**2*z - a*k - 3*k**4*z + 22*k**3*z - 35*k**2 wrt k.\nAnswer: -48*a*k*z - 72*k*z + 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 281 - 281.00000143. Round o to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 - -282. Calculate the remainder when s is divided by 75.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 31.04. Let t = -0.04 + o. Is t bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3738*c + 1324. List the prime factors of s(-9).\nAnswer: 2, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 296285?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p. Let b(i) = 13*i. Let v be (-2)\/(-5)*(12 - 7). Let d be 1 + 2 + v + -12. Determine d*s(y) + 2*b(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)\/(c*c\/(c*c\/(c**(7\/9)*c))) assuming c is positive.\nAnswer: c**(-71\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:07 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155 (base 9) to base 7.\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -0.2, 34, 0, 2, -14, 262?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 5\/12*h**4 + 2\/15*h**5 + 2*h**2 + 0 + 2\/3*h**3 + 0*h + 1\/60*h**6. Factor b(t).\nAnswer: 2*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -0.13. Suppose 0 = -5*v + 5*t + 35, -t - 38 - 2 = -4*v. Let n = v - 7. What is the closest to g in 3\/4, 0.3, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -11, 5, 29 in decreasing order.\nAnswer: 29, 5, 1, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 2, 1, -7 in descending order.\nAnswer: 2, 1, -2, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 523 divided by 4\nAnswer: 523\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*4220514.\nAnswer: -54866682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 3710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -228. Let v = w + 199. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7737, -7744, -7763, -7800, -7861, -7952, -8079, -8248?\nAnswer: -8465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 6 = 3*w. Let o = -1 - -2. Suppose 0 = -u - o. Which is the smallest value? (a) u (b) -2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29390038722 + -0.05028.\nAnswer: 29390038721.94972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/(j**(-1\/9)*j))\/(j*j*j\/((j\/(j**2\/j))\/j)*j**3\/j) assuming j is positive.\nAnswer: j**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (399\/14)\/(1\/2). Suppose -h + 0*u + p = 5*u, 0 = -3*u. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 + 11*p - 10. Let h be a(2). What is the closest to 3\/4 in h, -4\/3, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 1. Let m be f(1). Let h(k) = -m + 12*k + 8*k**2 - k**2 + 3*k**3 - 4*k**3. Is h(8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*(sqrt(200) + sqrt(200)*2 + -1 + -2))**2.\nAnswer: -1620*sqrt(2) + 16281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 39 = -3*k. Let a = -4 - -9. Suppose 0 = -4*p - p - k, 4*x + p = a. Solve x*d + 6 = -0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 1216?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c = -24*c - 28. Solve -22*n = -c*n + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19285 = -9*m - 2275. Calculate the highest common factor of m and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-3 + -1.\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4388 divided by -2194.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -19*r + 6977. Suppose -266*n - r = -268*n. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2051398842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 4*s + s)*(-4 + 1 + 0 - 11 - 1 + 1 - 1 + 5 - 2 + (-3 + 0 + 1)*(-3 - 2 + 3) + 1 - 4 + 1 + 3 + 0 - 2)*(-s + 0*s + 0*s).\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1591 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - 34?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/(-10)*8\/2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*a*d - 4*a*t**2 - 2*a + 1241*d*t**3 + d - 53 wrt t?\nAnswer: -8*a*t + 3723*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o - 510 = -48*o. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4, -3*o + 4 = -3*d + 2*o. Solve v - 2 = t - 0*t, 4 = 5*t + d*v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**2 + 365 + 5*p**2 - p**2 + 840 + 77 as y*p + z*p**2 + b and give b.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 57*u**2 - 57*u + 45. Let v be j(56). Which is the smallest value? (a) -4 (b) 1\/4 (c) 3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -25. Suppose 19 = -x*a - 8*i + 3*i, -4*i - 26 = -3*a. Solve 0 = 5*w - 5*b + 35, -26 = a*w - 5*b - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26 + (-3 - 0 - -1). What is the remainder when (-6)\/t - (-555)\/12 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192441.00985 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 3\/4, -1, 4, -48, 65 in decreasing order.\nAnswer: 65, 4, 3\/4, 1\/2, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 + 295*t**3 + 3*t**2 - 346*t**3 + (1 + 1 + 1)*(4*t**3 - 5*t**3 - t**3).\nAnswer: -57*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0 - 12. Suppose g - 3 = 3*d. Suppose 2*q - d*q + 6200000 = 0. What is q rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {a: 1, v: 3, p: 4, w: 1, k: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/((-84)\/54) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -1. Suppose -17 = 5*n - 2*j, -n + 0*j = -j + 1. Let u be n - 58\/(-16) - -1. Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.8323 days in milliseconds?\nAnswer: 4478310720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k - 7. Let x(t) = -3732*t**2. What is r(x(a))?\nAnswer: 63444*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -5\/9 (c) -1\/3 (d) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}