diff --git "a/data/dm_maths/full_data_1/1096_11255.jsonl" "b/data/dm_maths/full_data_1/1096_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1096_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(u) be the first derivative of 2*u**6\/3 + 8*u**5\/5 - 8*u**3\/3 - 2*u**2 - 4. Factor a(l).\nAnswer: 4*l*(l - 1)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5 + (sqrt(45) + -4 - (sqrt(5) - sqrt(10)\/sqrt(2))*-3 - sqrt(40)\/(sqrt(32)*-1)))*-6)**2.\nAnswer: -6723 - 756*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 59?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 10 = -3*b, 2*f - 50*b = -53*b - 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 649183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, x: 1, r: 1, w: 3}. Give prob of sequence lx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/((r*r**(-2\/5))\/r))\/r)\/r)\/r)**42*r**(-1\/9)*r*r*r*r**(1\/2)\/r*r**(-6)\/(r*r*((r**4\/r)\/r)\/r*r)*r\/r**(-1\/6)*r\/r**(2\/7) assuming r is positive.\nAnswer: r**(-22973\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-48.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6084231798?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2736*u - 449*u - 889*u)*(-18 + 6 + 10) to the form v + j*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 + 22*m - 31. Let d = -3171 + 3180. What is q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 8:46 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 5*m + 7. Let w be k(-5). Which is the second biggest value? (a) w (b) 2\/15 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*p = 11, -2*t = -2*p + 1 + 3. Let a(m) = -6*m**3 + 1 + 6*m**3 + m**2 + m**3 + 5*m**3. Let y(u) = -7*u**3 - u**2 - 1. Calculate t*a(l) - 4*y(l).\nAnswer: -2*l**3 - l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/(-78)*540\/(-63)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 14*m + 7600. Is 54 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/53 + -81\/371. Suppose -5*c = -2*c. What is the closest to c in p, -1\/11, -0.1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -475*n - 153*n + 37476 = 1046*n - 286*n for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -48?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(9) - sqrt(34))\/sqrt(2) + -3 + (sqrt(425) - (sqrt(425) + (((sqrt(425) - (sqrt(425) + 1) - sqrt(425)) + sqrt(425))*3 - sqrt(425))**2)).\nAnswer: -437 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 7*u**2 + 14*u**2)*(3*u - 2*u - 2*u) + (2*u - 5*u + u)*(-u**2 - 2*u**2 + 4*u**2).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 16*w**2 - 21*w**2 - 2*w**3)*(-4*w + 6*w + w).\nAnswer: 3*w**4 - 111*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33396, -33394, -33392, -33390, -33388, -33386?\n\"Answer: 2*b - 33398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 16*s**2 - 21*s + 188. Let m(i) = i**3 - 11*i**2 + 11*i + 19. Calculate the smallest common multiple of m(11) and w(8).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 869217 and 186?\nAnswer: 53891454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 257176848113*a + 257176848113*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 2 - ((-4)\/2 - -2). Solve 3 - j = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrhrhhhhhcrrrhlrr. What is prob of picking 3 h?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Suppose 3*x - 3*z - 12 = 0, -6 + 2 = m*x + 5*z. Solve -20 = -b - x*q - 2*q, 4*b - 15 = -3*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 9. Let y(m) = -m + 1. Let n(b) = -2*b**3 + 12*b**2 + 35*b - 20. Let v be n(8). Determine v*y(d) + p(d).\nAnswer: -d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 1060166?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3151*i - 13853 + 44091 = -35933 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let r = -55.82 + 0.82. Let z = r - -58. What is the third smallest value in -0.4, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + (0 - (4 + -6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1440457 to the nearest 1000.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 + 2*c**2 - 2*c**2)*(-3*c - c + c) - 54207*c**3 + 11*c - 4*c + 39640*c**3 - 7*c as l*c**3 + p + a*c + r*c**2 and give l.\nAnswer: -14570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-6)\/4)\/((-1)\/152). Suppose -2*d = 2*p - 142, d + p - o = 5*p. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238386037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 21. Suppose v*j = j. Suppose -5 = -4*w + b, 2*w + b - 2*b - 3 = j. Put -5, -3, w in increasing order.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 - 1)*(2 - 1 - d - 2).\nAnswer: 9*d + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -45. Suppose l + 5 = 5*s - 5, -l = 4*s - k. Solve 33 = -5*m - 4*c, 0 = s*m + 5*c - c + 23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 743988 and 9378.\nAnswer: 2231964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*z - 3*g + 2, -3*z - 5*g - 13 = 0. Let q be (-100)\/(-15)*(-6)\/(-4). What is the highest common divisor of q and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -10) + (-24 - -6) + (13 - -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(-1 + sqrt(7) + -5)**2.\nAnswer: -516 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58797 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 34 = 9. Let n(x) = 5*x**2 + 5*x - 11. Let t(h) = -4*h**2 - 5*h + 10. Let o(c) = 5*n(c) + 6*t(c). Determine o(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -19*p. Let i(n) = -9*n. Suppose -5*b + 21 = 2*w, -3*w + 4*b - 3*b = -6. Let q be 4 + (-20 - (0 - w)). Let a(z) = q*i(z) + 6*h(z). Give a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**2 + 4623352*s + 333990370561.\nAnswer: (4*s + 577919)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*l**2 - 3*l**5 - 3*l**5 + 5*l**5 + (0*l**3 + 0*l**3 + l**5)*(3 - 2 + 2).\nAnswer: 2*l**5 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - 4*x - x**4 + (3*x - x - 4*x)*(-2*x**3 + 5*x**3 - 2*x**3) + (0 - 2 + 3)*(3 + x**4 - 3) to the form a*x**4 + h*x**2 + n*x**3 + m + u*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 233 - -5. Calculate the remainder when j is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261526.46 times -4\nAnswer: -1046105.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 + 4 = 5*z, 5*h = -2*z + 2. Solve 2*t + 7 + 3 = h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of ((-860)\/43)\/(30\/(-11844))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/(-10) + (-8)\/(-20). Let f(d) = 16*d + 10. Let h(m) = -5*m - 3. Let b(j) = r*h(j) - 3*f(j). Let i(q) = 2*q**2 + 3 - 2 - 1. Determine b(i(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65205, -129746, -193623, -256836, -319385, -381270?\n\"Answer: 332*t**2 - 65537*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/(-180))\/((-75)\/10)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v + 5*u - 129 = -38*v, 3*v - 4*u - 3*u - 5 + 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 + 3*a**2 - a + 6. Let q be v(-3). Suppose q*p = 169*p + 18. Is 12 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*w + 66326, -34 = -w - 28. List the prime factors of b.\nAnswer: 2, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-728)\/(-24))\/13 + (-2)\/6. Calculate the common denominator of 81\/182 and 202\/(-16) + (-6 + 12 - v).\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 21*y - 37. Calculate x(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80879, -80880, -80881, -80882, -80883?\nAnswer: -80884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-282)\/60 + 3)*-5 + -5 + -3. Determine u, given that 0 + 0*u - g*u**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 115 = 5*z, -z - 2*h - 2*h + 23 = 0. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 714, -1, 4, -13 in decreasing order.\nAnswer: 714, 64, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - d + 3*d + d**3 + (-2*d**3 + 2*d - 2*d)*(0 + 2 - 3) - d**3 + 0*d**3 + 2*d**3 in the form j*d + h + l*d**3 + x*d**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001299409093 rounded to five decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)\/o**10*(o**0*o)**(-1\/39))**(3\/11) assuming o is positive.\nAnswer: o**(-586\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.3. Sort 0.3, h, -1.\nAnswer: -1, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1508, 1544, 1580, 1616, 1652, 1688?\n\"Answer: 36*b + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (312\/(-16))\/((-2)\/(-28)). Let k = q - -277. Solve -5*i - k*d = 18, -2*i + d - 2 = -0*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.2 and -5.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -4783, -16053, -38009, -74215?\nAnswer: -128235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/3 + 1691*b**3\/3 - 31867*b**2\/3 + 55203*b - 45144 = 0 for b.\nAnswer: 1, 9, 1672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncjranhj. What is prob of picking 1 r and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, x: 9}. Give prob of picking 4 x.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 31 - 52 + g + 21. Let k(l) = -l**3 - 5*l**2 - 20*l - 16. Let b(o) = k(o) - 6*v(o). Solve b(r) = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2074 and 3.75.\nAnswer: 2077.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*y + 382*y - 7*y - 13*y.\nAnswer: 573*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 - 209*c - 67. Let r be h(70). Solve 22 = -8*v - r*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078357 is divided by 1251.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-36240)\/(-600))\/(2\/140) and 10.\nAnswer: 21140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670 = -106*s + 1583 - 27 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -157, -639, -1561, -3067?\nAnswer: -5301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.41144532 and 4.\nAnswer: 5.41144532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 48 + 357. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90661 divided by 17.\nAnswer: -5333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, 179, 218, 291, 410?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(275) - (3 + sqrt(275)*1))**2 + -1 - (5 + -4*(-2*sqrt(275) - sqrt(275)) + -4)**2.\nAnswer: -39588 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -199.4 - 2.6. Let n = r - -69. Let m = n - -132.9999854. What is m rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {w: 1, i: 4, p: 2, f: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/4)\/(1 + 0). Let q = -13 - -18. Which is the second smallest value? (a) q (b) p (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(30\/8) - (-4)\/6. Let m be 1*r*3\/(-6)*0. Solve m = -2*f - 15 + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 78 + 223 + 124 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -219*o**2. Let q(x) = -6*x**2. Calculate q(w(b)).\nAnswer: -287766*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*m + 12. What are the prime factors of (m + 0)*(-10)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + sqrt(1872)*1*-4 + sqrt(1872) + 2*sqrt(1872) + 1 + 5 + -3 + (sqrt(1872) - (-2*sqrt(1872) + sqrt(1872) + 5))*-6)**2.\nAnswer: -9504*sqrt(13) + 270657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -180 + -7a3?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*j - j - 9, -25 = w - 5*j. Let n(s) = 2*s**2 + 4*s - 6. Does 6 divide n(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1839863 and 241022053?\nAnswer: 241022053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 7*t - 6. Calculate the smallest common multiple of d(-3) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*r**3 - 54*r**3 - 11*r + 11*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28247.84796 and -57?\nAnswer: 28190.84796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7.61. Let u = b + -0.39000036. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00515791 rounded to 4 dps?\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2043983 and 55187541?\nAnswer: 55187541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (38 - 41) - -36 - -17?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 14\/3 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 11*c**2 + 15*c + 8. Suppose -5 = 3*h - 2*h - 4*l, -3*l = -2*h. Suppose 2*w = -h*w - 2*s + 55, 3*w - 5*s = 64. Is n(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159808138 divided by 2\nAnswer: -79904069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -34, -47, -54, -49?\n\"Answer: a**3 - 6*a**2 - 2*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 = 4*g - 4*i, -82*g - 4*i = 957 + 1335 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/3 + 2*a**3 - 5*a**2\/3 - 8*a + 12 = 0. What is a?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285.5867416 + 285.59. Round i to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 931 and 19277324.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 - -157. Suppose 4*x - r = -3*t, 3*t - 47 = 3*x - 8*x. Solve -3*a + 2*l = t, 0*a - 4*l = a - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 17*i**3 + 118*i**2 - 4*i + 14. Calculate h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.232 in -0.13, -0.3, 5, 16?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246503?\nAnswer: 53, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665245 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (250\/(-625))\/(30 + -33 - (-42)\/20). Factor 16\/3 + 40\/9*k**2 + s*k**3 - 92\/9*k.\nAnswer: 4*(k - 1)**2*(k + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*m - 42 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 733018, -2\/11, 1?\nAnswer: 733018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (6 - -4) - (-1 - (-11 - -2)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 - 46*u - 120 = 0. What is u?\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*b - 5*b = -108, 5*b - 20 = 0. Let u(n) = 14*n - 60. What is the tens digit of u(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83158, 83202, 83262, 83326, 83382, 83418, 83422, 83382?\nAnswer: 83286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9841783?\nAnswer: 7, 487, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.565392 tonnes to milligrams.\nAnswer: 3565392000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 345202155 + -345202250.0375886. Let d = o + 95.1536. Let r = d - 0.116. Round r to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8323670137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 201.532838 and 1.\nAnswer: 202.532838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266 or -332?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 15 = m, 0 = 2*m + 3*u + 5 - 10. Let w(q) = -q**3 - 5*q**2 + 2. Let l be w(m). Let r = l + 6. Calculate the least common multiple of 11 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/288 and 41\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 99\/2 + (-17)\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 56 = 0. Let v be (t\/7)\/(4\/10). Which is the smallest value? (a) 0.1 (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 3 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1740, 6815, 15210, 26925, 41960, 60315?\nAnswer: 81990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -5. Let d = 36 - o. Let c = -19 + d. Solve 5*z = -4 - c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36\/(-3))\/((-9)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 24 = -7*v. Calculate the remainder when 29 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -667209.361966 and -7.\nAnswer: -667216.361966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 45?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 44. Suppose -m = -3*c + 5*y, -5*c + 6 = -2*y - 20. Calculate the least common multiple of 14 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**4\/8 - s**3\/3 - 891*s**2 + 1. Let b(r) be the first derivative of -2*r**2 - r + 17. What is -2*b(g) + 3*p(g)?\nAnswer: -g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 10471.1119 to the nearest ten.\nAnswer: 10470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2364*m**2 - 65*m**3 + 2364*m**2)*(-m + m - m) - 4 + 3*m**4 + 4.\nAnswer: 68*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1021 - 1014003?\nAnswer: -1020024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2ba0ee (base 16) to base 13\nAnswer: -791580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 44\/12 + 2\/(-3). Let y(u) = -u**2 + u - 3. Let f(b) = 2*b**2 - b + 4. Let r(q) = 2*f(q) + 3*y(q). Give r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.328373 rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 8*l - 18. Let p be (2 - 5) + (-210)\/(-66). What is the nearest to 2 in p, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 930*-1371\nAnswer: -1275030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289764311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 81?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149544 is divided by 9833?\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {a: 15, u: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*(-24)\/128)\/(-2*(-21)\/(-812))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 0.3 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/(-10))\/((-3)\/36). Suppose z + b = -8. Let t = -8 - z. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -63*l + 57*l. Solve 4*u + p + l = 0, -5*p - 16 = u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 544635.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 124*f**2*o*y**3 - 20*f**2*y**3 + 2348*f**2*y - 65*f*y**2 + 30*o*y**3 + 23*o wrt y?\nAnswer: 744*f**2*o - 120*f**2 + 180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114686 divided by 27?\nAnswer: 114686\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(-4*f**4 + f**4 + 2*f**4)*(-3*f + 3*f + 2*f) + (5*f**2 - 4*f**2 + 5*f**2)*(-2*f - f + 16*f)*(-f**2 - f**2 + 9*f**2).\nAnswer: 548*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*u - 623 = 23*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 2*f - 3*k, f + 18 = -5*k + 55. Let i be 2\/(-7) + -1 + f\/(-14). Let r(a) = -1. Let d(x) = 2*x + 6. Let p(v) = d(v) + 2*r(v). Calculate p(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3619 + 1105 - 98 - 3516)*(-2*d + 4*d - 4*d).\nAnswer: 12256*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 37. Let d = -73 + 93. Let x be j(d). Let l = 31 - 26. Which is the closest to 1? (a) -0.5 (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 18 = -18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)\/sqrt(72))\/(sqrt(24)\/sqrt(3)*2) - (sqrt(6)\/(sqrt(6)\/sqrt(2)) + (-4 + sqrt(22)\/sqrt(11))**2).\nAnswer: -18 + 43*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 - 14*z + 4. Let n(k) = k**3 - 5*k**2 - 11*k + 3. Let f(y) = 4*n(y) - 3*s(y). Factor f(x).\nAnswer: 2*x*(x - 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 24. What is the remainder when (u - -4) + (-2948)\/(-22) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -15. Let s = -33 - j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 4.279\nAnswer: 85.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.91 + 0.9601. What is x rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11571 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 755*v**2 - 5*v - 1. Let q be m(-1). Is q greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1064 and 252?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 - 28 = 3*l. Let i = -78 + l. Is -1*((-3 - 0) + i) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -56. What is the highest common factor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1826 - -1822. Suppose 2*q + 0*y = y - 11, 0 = -y - 5. Are n and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(187)*3)\/(2*sqrt(1100))*3)**2.\nAnswer: 1377\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x**2 + 0*x)*(3*x - x**2 - 3*x) + x**4 + 2*x**4 - 2*x**4 + 199*x**4 - 5*x**3 + 4*x**3 - 105*x + 106*x.\nAnswer: 202*x**4 - x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39651?\nAnswer: 3, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvii when four letters picked without replacement from {v: 5, k: 5, l: 5, i: 2}?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 308*c**2. Let j(y) = 17*y**2 + 3*y + 12. Give j(m(t)).\nAnswer: 1612688*t**4 + 924*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (6 + -5)*1486 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -864385 (base 10) to base 11\nAnswer: -540475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198754, 198746, 198724, 198682, 198614?\nAnswer: 198514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17419356.\nAnswer: 2, 3, 17, 28463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 36*k**2 + 28*k + 112. Is s(39) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2 + 9)*(o**3 - 2*o**3 + 3*o + 0*o**3).\nAnswer: -21*o**3 + 63*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -17*m - 5. Suppose -6 = -5*k + 2*d, 5*k + d + 2*d = 16. Let z(a) = 4*a + 1. Calculate k*w(j) + 9*z(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -7. Find the second derivative of l*m**3 + 6*m - 10*m - m**3 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47155, -47453, -47751, -48049?\n\"Answer: -298*b - 46857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 13*g**2 + 5*g**2 - 26*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -1039c?\nAnswer: 103a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13951, 20350, 26749, 33148?\n\"Answer: 6399*v + 7552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 6*f + f)*(-31 - 13*f + 31) + 3849*f**2 + 129545 + 813*f**2 - 129545.\nAnswer: 4675*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - 7. What is the units digit of q\/(-12) + (-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 666579 and -146.\nAnswer: 666433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 1.6. Let c = 103\/20 - 19\/4. What is the closest to i in 2, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - h = -45, -3*a = 3*h - h + 57. Is -26*a\/(-12)*-2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869986485 to the power of 1\/3, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/3)\/u)**38\/(u*u**0)**(2\/19) assuming u is positive.\nAnswer: u**(1438\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -147, -26, 163, 414, 721, 1078, 1479?\n\"Answer: -g**3 + 40*g**2 + 8*g - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 1:12 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h. Let f(g) = 17943*g**2 - 25. Calculate f(s(x)).\nAnswer: 1794300*x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 243245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 655701096 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12358 and -2?\nAnswer: 12360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4 + 1 + 2)*(3*q + 4*q - 5*q).\nAnswer: 4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((3\/(-2))\/((-132)\/(-176)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28270328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.003.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/5 + 84*l\/5 + 16.\nAnswer: 4*(l + 1)*(l + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -154.167359.\nAnswer: -154.167359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n**3 - 295*n**2 + 470*n - 200 = 0. What is n?\nAnswer: 4\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -59*x - 338. Let j be m(-6). Solve 0 = 2*d + b - 10, 12*d - b + j = 16*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b - 2*b + 4 + 3 + b**2. Suppose -l - 7 = 3*n, -l + 18 = l - 2*n. What is the units digit of i(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.83134 or -1\/4?\nAnswer: 0.83134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253 * 805.\nAnswer: -203665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 341683766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onno when four letters picked without replacement from nnoooooooooo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 4888 = -3*p - 16*g, -6512 = -4*p + 4*g. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 20*j**2 + j - 20. Let m be q(20). Suppose -59 - 93 = -4*p. Suppose m = 2*h - p - 14. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/4 (c) -77\/5 (d) 4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - 120?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -e395bd (base 15) in base 9?\nAnswer: -22313107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2283 and 10.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -23*g**7\/14 + 73*g**3\/3 - g**2 - 2*g + 61. Find the second derivative of i(n) wrt n.\nAnswer: -1380*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, -167.96, -25.\nAnswer: -167.96, -25, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*p**2 - 34*p**2 + p**2.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.087 and 250?\nAnswer: -21.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 2101243?\nAnswer: -2101301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 64. Let h(r) = 10*r + 192. Let p be h(-19). Suppose w = p*a + 3*n, -2*a + 49 = 3*n + 2*n. Is 12 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/((-48)\/(-240)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 8 = -62. Suppose 119 + 341 = 5*h + 4*a, -c*h = 5*a - 460. What is the highest common divisor of h and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001 (base 2) in base 4?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3213, -3204, -3195?\nAnswer: -3186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/18*4*(-2)\/(-54).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.87 - -0.13. Let k = -9 + h. What is the smallest value in -1, 0.5, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 4738.7?\nAnswer: 4736.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 6*u**2 - 8*u + 4. Give k(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - o = 3*o - 148, a = 4*o + 12. Let j = 31 - a. Is (-1)\/j + 28\/2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -152009054 and -161.\nAnswer: -152009215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5604652*o**3 - 2*o**2 - 15*o + 16551 wrt o.\nAnswer: -33627912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/105, -5, -4, -8521, 4\/9?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -55*q**3 + 32*q**3 - 196*q**3 + (-q + 0*q + 3*q)*(4*q**2 + 10*q - 10*q) + 3*q - 3*q - 4*q**3.\nAnswer: -215*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1605649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*l + 92 - 352 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i**2 - 3*i**2 - 11*i**2 + (-3 - 1 - 6)*(i**2 - 2*i**2 + 5*i**2) to the form b + z*i + g*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from iiieeieexe.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -26.78257?\nAnswer: 53.56514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 4) in base 11?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 118b60 (base 13) in base 8?\nAnswer: 1463047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 174.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(66)\/sqrt(2)*1)\/(sqrt(30)\/(2*sqrt(10))))**2.\nAnswer: 4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -96\/7, 1, 0.07?\nAnswer: -96\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1200\/700)\/(4\/(-14))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:37 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*t + 10 = 2*t, t = 5. Solve 5*k + 10 = -p*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3 + 76*g**2 + 1652?\nAnswer: 3*g**2 + 152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*i + 18, 4*i = 7*i - 12. Let f = 6 - j. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5730.4ml to litres.\nAnswer: 5.7304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1248)\/(-702)*(-2232)\/(-32)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 365, 462, 663, 1004?\nAnswer: 1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1584185.\nAnswer: 5, 101, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4670 - 4670.0019703. Let h = i - -0.002. What is h rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(5\/3)*(x**0)**(-4\/7))\/(x\/x**(-1\/5)*x**(-2\/13)*(x**(1\/2))**(-5)) assuming x is positive.\nAnswer: x**(401\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 55368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2. Let p(f) = f + 14. Let g(b) = -14*a(b) - 2*p(b). Calculate g(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 19, 11, -9, -47, -109, -201, -329, -499?\n\"Answer: -z**3 - z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 3*d**2 - 4*d - 4. Suppose -3*u - 6 = -u. Let z = -16 + 30. Calculate the least common multiple of z and q(u).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 5 + 3 - 5 + 10 to h*d + z and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21407.5 - -21407. Which is the nearest to 0.24? (a) 1 (b) o (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057) + -5)**2 + 1 + (-2*3*-1*sqrt(2057))**2 + -2.\nAnswer: 220*sqrt(17) + 82304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 329032*t**2.\nAnswer: 4*t**2*(t + 82258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2) - 14\/(-44). Suppose 59 - 191 = 4*k. Let h be 4 + (-3 - 2) + k\/(-31). What is the closest to -2 in h, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/27, 632, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 2 + (-822)\/(-137). Let g(a) = 1. Let d(k) = k + 7. Let i(x) = d(x) - 6*g(x). Let u(c) = 2*c + 1. What is s*i(y) - 2*u(y)?\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - x + 5 = 0, -2*n = -6*x + 5*x + 5. Solve -3*h - 5 = -2*a, -h - 3 = -n*a - a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 u when four letters picked without replacement from {v: 8, x: 2, u: 5, c: 3, e: 1}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5131471550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -677 + 679. Which is the smallest value? (a) 0.3 (b) -0.4 (c) k (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + 20?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22 - 4*r**2 - 4*r**2 - 4*r**2 - 3*r**2 - r**3 - 5*r. What is the units digit of k(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - 4 - (3 - 1). Sort 9, n, 5.\nAnswer: n, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -6*n**2 + 39. Suppose -3*b - 4 = -13. Let t be ((-2)\/b)\/(6\/9). What is v(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13420 is divided by 498?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43849 < -1210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1614848.999985 + 1614845. Let v = 4 + a. What is v rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggspk. What is prob of picking 1 s, 1 k, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*2\/(2 + -4). Let k(z) be the first derivative of z**2 - 42*z + 19. Let q be k(22). Are d and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 40*b + 674. Let q be x(-17). What is the biggest value in 4\/3, -0.3, 0.4, q?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3790 by 10.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.42 + -3.64. Let n = 56 + y. Let w = n + 0.16. What is the third biggest value in 1, 2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**3\/6 + 9*l**2\/2 + 2*l. Let k be z(6). Suppose -2*c + 24 = 4*s, k*s - 8 = 4*c - 1. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4*1*(-21)\/(231\/374).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03263 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 102, 336, 786, 1524, 2622, 4152, 6186?\n\"Answer: 12*i**3 + 6*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21557, 21473, 21389, 21305, 21221?\nAnswer: 21137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 1505*d - 63750 = 0 for d.\nAnswer: -250, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 83 + 182. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1125 divided by -15\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**3 - 185*b**2 - 120*b + 126. Let m be p(-61). Let z be m*7\/98*3. Let 2\/7*v**5 - 4\/7*v + 6\/7*v**4 + 0 + 2\/7*v**3 - z*v**2 = 0. Calculate v.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = b - 37. Suppose 3*d = b - 3. Suppose 0 = -2*m + m + 31. Calculate the remainder when m is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5888054 centuries to millennia.\nAnswer: 0.05888054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439053 to the power of 1\/2, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1181256339 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146*t**2 + 59*t**3 + 221*t**2 - 207*t**3 + 59*t**3 + 93*t**3 to the form y*t**3 + x*t**2 + o + l*t and give x.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 237047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/184*(-328)\/(-123)*(-33)\/22?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-156)\/(-182) - 18\/21. Are -5\/343 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 6337640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x + 40*x - 432 = x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332402 (base 7) to base 8.\nAnswer: 1443477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j - 80 = 5*r, -48 = 3*j + 2*r. Let i = -11 - j. Let k = -5.5 - -2.5. Put i, k, 2\/5 in increasing order.\nAnswer: k, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 2967*j - 10 = -2968*j, 3*y - j = -30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -13*i**2 + 49*i + 62. Let b(h) = 6*h**2 - 25*h - 27. Give 7*b(j) + 3*k(j).\nAnswer: 3*j**2 - 28*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 5*s - 105, 3*b + 2*b - 175 = 2*s. Let u = -49 + b. Let w = 18 + u. Solve -w*f = -f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/16)\/(15\/20). What is the nearest to -2 in b, -0.2, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 5. Let v(n) = -n**2 - 3. Suppose 2*x = 4*x + 4*g - 34, 0 = -5*x - g + 40. Let d = x + -12. Let f be -1*(0 + 6)\/2. Give d*v(q) + f*b(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078971969.\nAnswer: 2078971969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 86*i**2 + 405*i - 4. Calculate u(-81).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 21873900 to the nearest 100000.\nAnswer: 21900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -887\/4 + 817\/4. Let j(x) = -19*x + 1. Let d be j(1). Is o < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4032 divided by 63.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, u: 3, f: 1, p: 1, v: 2, h: 2}. What is prob of picking 1 b, 1 f, 1 u, and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 516319.3m?\nAnswer: 516.3193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 48*n**3 - n. Let w be a(1). Suppose 3*q - w = -5*t, 0*t = -4*t - q + 32. What is the highest common factor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276748 is divided by 1553?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8890)\/3810*1*(-27)\/357\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**8\/10080 - j**7\/378 - j**4\/24 - 19*j**3\/6 + 10*j**2 - 1. Let f(l) be the second derivative of h(l). Factor f(b).\nAnswer: 2*b**2*(b - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k = 306. Let u = -21284 + 21488. What is the greatest common divisor of k and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 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 lowest common multiple of 3073855 and 8606794?\nAnswer: 43033970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(176)).\nAnswer: -24*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4482 and 3486?\nAnswer: 31374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) 0.6 (c) 0.1 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4de - 6?\nAnswer: -4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2517556258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 66. Let t(z) be the third derivative of -25*z**4\/6 + 2*z**2 - 978*z. Determine t(q(k)).\nAnswer: 200*k + 6600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 25 - 1) + (-56 - -4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - (-3600)\/140. Let m = v - 21. Suppose -57 = -m*f + 273. 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: Let t = 171 + -168. Solve t*b + 4*r = 8, 3*b - r = 3*r + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7644 divided by -1145.\nAnswer: 7644\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 1. Let j(h) = 20*h - 3. Determine -17*g(m) - 6*j(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -16 + (-22 - 16) + -17\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29528478 to four decimal places.\nAnswer: 0.2953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 1.6.\nAnswer: -10, -3, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -175, -178, -183, -190, -199?\n\"Answer: -l**2 - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {w: 1, v: 1, a: 1, t: 2, u: 1, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, -10, -3 in ascending order.\nAnswer: -15, -10, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 125*p**2 - 7*p + 119*p**2 - 260*p**2 - 3 - 3*p**3. Let s be d(-5). Let b = 17 + -11. Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 991245 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.35 + 1.02. Let d = 0.330145 + h. What is d rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 56 - c**2 - 56. Let d(w) be the third derivative of -w**5\/20 + 6*w**2. Calculate d(t(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2065, 2\/11, -1\/7, -0.1619.\nAnswer: -2065, -0.1619, -1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*m*q - 671*d*m + 2*m*q - 485*m - 2*q + 3 with respect to d.\nAnswer: 2*m*q - 671*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let z(k) = -9*k**3 + 3*k. Calculate 3*y(j) + z(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -730.7 + 816. Let v = 85 - n. Which is the fourth biggest value? (a) 0.1 (b) -2\/7 (c) v (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 81.9904 and -22886?\nAnswer: 22967.9904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 11*p + 15. Let l be -2 + (0 - p) + 2. Let d = 1 - 1.3. Put d, 1\/5, l in decreasing order.\nAnswer: l, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 11\/4 + (-23 - (-1246)\/56). Solve -52*t - 307 - 57 = f for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 2*b**2 - b. Let x be d(3). Let a = x + 12. Suppose 0*i + 4*i - 28 = a. What is the remainder when 26 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 5, 1400.\nAnswer: 5, 17, 1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, 1 l, and 1 i when four letters picked without replacement from {h: 1, y: 1, i: 1, e: 1, l: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 9*d**2 + 11*d + 14. Suppose -3*p - 12*p - 60 - 90 = 0. What is r(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 9*u**2 - 270*u + 224. Let r be s(-13). Solve 121 = -r*z + 9 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 86*f - 83*f - 21 = 0, -3*i + 3*f = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5226498, -10452989, -15679480, -20905971, -26132462, -31358953?\n\"Answer: -5226491*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - 5*k = 3*t - 15*t - 23*t - 32, 3*k = -t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 2815*d**4\/12 - 543*d**2 - 145*d + 3. What is the first derivative of p(b) wrt b?\nAnswer: 5630*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 9*i - 10*i**3 + 12*i**3 - 8*i + 7*i.\nAnswer: 2*i**3 + 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 - 11*b + 11. Let c(u) = 6*u**3 - 28*u**2 - 56*u + 54. Let k(a) = 2*c(a) - 11*j(a). Determine k(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Suppose 3*t - 4 = -i, 3*t - 16 = 5*i - 0*t. Let w(m) = -m**2 + m. What is i*w(y) + 5*s(y)?\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16752.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**(-6\/5)*i*i)*i**3*(i*i*(i**0\/i*i*i)\/i*i)\/(i**(-1)\/i) assuming i is positive.\nAnswer: i**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 7*n**5 + 8*n**5 - 14*n**5 + 3*n**3 - 3*n**3 + 13*n**4 - 13*n**2.\nAnswer: n**2*(n - 1)*(n + 1)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4\/3 + 16822*r**3\/3 - 16823*r**2\/3 = 0. Calculate r.\nAnswer: -16823, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 2*p**2 + 3*p - 1\/3*p**3 + 0. Let k(b) = b - 2. What is 4*i(r) + 7*k(r)?\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -0.2. Let y = -0.072 + -2.938. Let n = -0.01 - y. What is the biggest value in n, l, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25473 * -15.44.\nAnswer: 393303.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i + 47*i - 1576009 = -8125079. Round i to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -0.042.\nAnswer: 4.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -95*j**4\/4 - j**3\/3 - 2129*j**2 + 170*j + 12. Find the first derivative of m(g) wrt g.\nAnswer: -570*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 134 + -133.7. Which is the nearest to 0? (a) 2\/5 (b) 1 (c) -0.5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*f**2 + 2 - 2)*(2*f - 8*f - 5*f)*(2*f + 0*f + 3*f) to the form g*f**2 + a*f**4 + v*f + p*f**3 + n and give a.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 5*m - 6. Let v(l) = -2*l**2 - 10*l - 12. Let o(w) = -5*j(w) + 2*v(w). Factor o(f).\nAnswer: (f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4198955?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*p - 5*h, 2*p + 4*h = -0*p - 48. What is the tens digit of -159*p\/18 + (-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-156 + 149 - (-8 + 3))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2 + 12394*w + 457209 = 0 for w.\nAnswer: -12357, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698879 is divided by 188670?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 7*p**3\/6 - p + 2. Let o(c) be the second derivative of c**4\/12 + 5*c. Determine o(b(u)).\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) -47 (c) -0.03 (d) 4 (e) 5 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**2 + 57*m*o - 232*o wrt m?\nAnswer: -4*m + 57*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2220 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(12) + (sqrt(48) + -5)**2 + (sqrt(12) - ((sqrt(48) - sqrt(96)\/sqrt(2))\/sqrt(4))**2).\nAnswer: -36*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (16 - 11) - -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/30*1*((-180)\/16)\/(-9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*u + 35 = 0, 3*u = -2*m - 0*m + 109. Suppose 4*c - 10 = m. Let h = 1 + 7. Calculate the remainder when c is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 6*u - 3599. What is q(60)?\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26472949, -52945894, -79418839?\n\"Answer: -26472945*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-598)\/65 - -9) + (-1182)\/(-10) + -2. Solve 148 = -44*m - d for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 22*o**2 - 10*o - 108. Let z(c) = -15*c**2 + 7*c + 72. Let r(j) = 5*y(j) + 7*z(j). What is the hundreds digit of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 10, 35 in descending order.\nAnswer: 35, 10, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -488, -731, -996, -1289, -1616, -1983, -2396?\nAnswer: -2861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let h be w(3). Let s(x) = -2. Let d be (22\/6)\/((-125)\/(-375)). Let i(v) = -v + 6. What is d*s(a) + h*i(a)?\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2412\/1809*((-10)\/50)\/((-16)\/5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676769497?\nAnswer: 47, 14399351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p + 380. Let x be v(-29). Solve 6*y + x*y = -9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, l: 1, y: 1, t: 1, h: 1}. Give prob of sequence phy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/2 - -2. Find d such that -3*d**3 - 9\/4*d**2 + 0 - t*d - d**4 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -75 (b) 1\/98 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiaaiifiaaa. Give prob of sequence if.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*r, r = -r. Suppose -3*d = 0, -j + 3*d - 7*d + 4 = v. Find the third derivative of 8*x**4 - x**2 - 14*x**j + 16*x**4 wrt x.\nAnswer: 240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*w + 2*w + 4*f, -4*w - 4*f = 92. Let g be 24\/9*w\/(-12). Suppose 10*c = g*c. Solve 5*t + 3*p - 41 = -11, 2*t - 4*p + 14 = c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29345058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 4*d = 0, 3*d - 27 = 3*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*o**3 + 71*o**3 - 364*o**3 + 69*o**3 + 84*o**3 + 62*o**3.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -711\/133, 2\/11, -49, 1 in ascending order.\nAnswer: -49, -711\/133, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (963\/214)\/(-36*(-1)\/176)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2106 - 456851384.\nAnswer: -456851385.2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -62, 4, -3, 0 in increasing order.\nAnswer: -62, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2212908235 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**5 - 4938302*h**3 - 2*h - 1069715 wrt h?\nAnswer: -40*h**3 - 29629812*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1176 = 4*f - 2*l, -f + 294 = 7*l - 4*l. Suppose -3*i + f = 4*i. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = b + 4*i, -b + 3*i = 3 - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 25 = 0, -5*b = c - 822 - 29163. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 458200?\nAnswer: 3207400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 + 734*d**2.\nAnswer: 2*d**2*(d + 4037)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44700?\nAnswer: 2, 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 15634.90598 to 0 dps.\nAnswer: 15635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/25)\/((j**(-1\/14)\/j*j)\/j))\/((j*j**(16\/9)\/j)\/(j*j**15\/j)))**(-9\/2) assuming j is positive.\nAnswer: j**(-44899\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.53 + -0.23. What is the biggest value in -7, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 294*q**3 - 551*q**2 - 5. Let x(z) = 291*z**3 - 549*z**2 - 6. Let v(l) = 6*j(l) - 5*x(l). Find the third derivative of v(f) wrt f.\nAnswer: 1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from {u: 1, k: 2, j: 2, n: 7}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 2*c + c)*(-19602 - 21174 + 12851)*(2*c - 1 + 1) as q*c + i*c**2 + u and give i.\nAnswer: -167550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**3 - f**2 + 3*f + 2. What is k(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(1127\/(-14)) + 129075\/(-7). Let m = 27918 + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*s + 56 = 6, 4*z + 2*s - 110 = 0. Is 3 a factor of z\/2*10\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 greater than -456978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 218, 428, 778, 1268?\n\"Answer: 70*s**2 + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16644 + 3?\nAnswer: -16641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 10) to base 14\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 23 + 1419*f - 2834*f + 456*f**2 + 1413*f in the form p*f**2 + x + d*f and give p.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*f - 8. Let r be f\/9 - (-254)\/9. Suppose r = 2*x + 2*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/17 and -6\/3996757.\nAnswer: 67944869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225790760 to the power of 1\/2, to the nearest integer?\nAnswer: 15026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 - 517*y**2 + 262*y - 1015. Calculate o(258).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112407537?\nAnswer: 3, 11, 149, 22861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11715, -11597, -11313, -10791, -9959, -8745, -7077, -4883?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9828230, 19656438, 29484644, 39312848?\n\"Answer: -i**2 + 9828211*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -8*r + 7*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 11) to base 6.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*-4*((sqrt(2299) + sqrt(2299) + sqrt(2299) + sqrt(2299) + 2 - (2 + sqrt(19) + sqrt(475) + sqrt(19) - sqrt(19))) + sqrt(171)*1 + 1))**2.\nAnswer: 53136*sqrt(19) + 18397593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)\/h*h)**(1\/12)*(h**(-2\/45))**9 assuming h is positive.\nAnswer: h**(-59\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c - 4785*c**3 + c + 0*c + 4830*c**3 - c**2 as m*c**2 + v + u*c**3 + a*c and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 18, 38, 58?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 43?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.0189419 and -111.\nAnswer: -114.0189419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 397291, -4?\nAnswer: 397291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 301.\nAnswer: -8\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/38 in 2\/59, 65\/3, -8?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9*n - 2 - 2*n - 9*n**2 - 6 + 8*n**3 - 9*n**3. Calculate k(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 11*u - 14*u + 35, -s + u = 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i**(-2\/7)))**45*((i\/(i*i**(-3)*i))\/i)**(-3\/26) assuming i is positive.\nAnswer: i**(10509\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1423635.026 to the nearest 1000.\nAnswer: -1424000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 5*o + 5. Let d(h) = -10*h - 11. Let c be d(-5). Let f = -23 + c. Suppose -3*u + 8*g - 3*g - 35 = 0, g = -4*u - f. Give q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**5*n + 15*h**3*n + 9*h*n + h wrt h?\nAnswer: -80*h**3*n + 90*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/40 + (324\/567)\/(2\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 8. Let u = 50\/3 - 256\/15. What is the closest to u in s, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.645354 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 55*o - 171 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(624)\/(sqrt(192) - sqrt(12)))\/(sqrt(4) + sqrt(4) + (sqrt(64) - sqrt(64)*-1) + sqrt(64)).\nAnswer: sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 33\/3 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2940)\/(-154))\/(-21))\/((-10)\/(-110))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 l when four letters picked without replacement from {t: 1, c: 2, g: 3, l: 8, m: 1, y: 3}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.66019561*6.\nAnswer: -3.96117366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60.12926 litres?\nAnswer: 60129.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*c**5 + 7*c**3 - 7*c**3)*(-1 + 2 + 1) + 2*c**3 + 3*c**5 + 2*c - c**5 - 4*c**3.\nAnswer: 26*c**5 - 2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + (2*(sqrt(432) + sqrt(432) + 0 + 4))**2 + -5.\nAnswer: 768*sqrt(3) + 6971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -4 (b) 9 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/6)\/((-30)\/36)*(-65)\/(-26)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 9:50 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 3\/8 - 2725\/(-200).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 12:37 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1877 and 3.96.\nAnswer: -0.743292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-11 + 28 + 10)*(-2 + 3*w + 2 - 2).\nAnswer: -81*w + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 23*d**2 - d**3 - 94*d**2 + 4*d**2 - 59 + 127.\nAnswer: -d**3 - 113*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 1 + 2*b - 2*b + (-2 + 3 - 2)*(-b**2 + 3*b**2 - 4*b**2).\nAnswer: 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1286985 = 242*m - 1377919. What are the prime factors of m?\nAnswer: 2, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:49 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 132088, 132087, 132086, 132085?\n\"Answer: -f + 132089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*y + 196 = 12*y - 87 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1347834 and 6642.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6 + 127*m - 150*m - 1. Let l be d(-11). Is l - ((-3 - -1) + 3) - -4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-56))\/((-1259)\/(-35252))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**0\/m)*m)**23)**(-1\/57)\/((((m\/m**(1\/9)*m)\/m)\/m)\/m*m**1)**23 assuming m is positive.\nAnswer: m**(161\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2602*u**2 - 2. Let a(p) = -2*p. Determine r(a(f)).\nAnswer: -10408*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 - 1. Let o(a) = 5*a**2 - a - 7. Let t(c) = o(c) - 6*q(c). Is t(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*f = 46, -3*f + 41 = 5*u - 102. Let a = 43 - 32. What is the remainder when u is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 9. Let x be k(5). Let c be (4\/8*-3)\/3. Sort -3, c, x.\nAnswer: x, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 23. Suppose 0 = 8*d + d - 171. Suppose 0 = -3*k - 5*p - 24, 5*p + d = -2*k + 3. What is the units digit of f(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60205\/9 or 1363?\nAnswer: 1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 j when four letters picked without replacement from jjyyqqyj?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**5 - 296*c**4 - 3463*c**3 + 7568*c**2 + 53652*c - 57456 = 0.\nAnswer: -42, -18, -4, 1, 19\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 0.03, -1\/4 in ascending order.\nAnswer: -4, -0.3, -1\/4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + -68. Which is the closest to -1? (a) s (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 34*q**3 - 7*q**2 + 7*q - 127. List the prime factors of v(7).\nAnswer: 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 17*q - 146*q + 18*q. Let b(c) be the second derivative of c**3\/6 - 71*c. Give y(b(t)).\nAnswer: -111*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -5 + (20 - 7 - 21).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7233308, 7233302, 7233292, 7233278, 7233260, 7233238?\nAnswer: 7233212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 467700 - -25?\nAnswer: 467725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q*q**4)**9*((q**(-9)\/q)\/q**8)**(-1\/20) assuming q is positive.\nAnswer: q**(1449\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 51\/2*d**3 + 189*d - 23\/8*d**4 + 1\/10*d**5 - 106 - 405\/4*d**2. Factor j(l).\nAnswer: (l - 14)*(l - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 2\/303, -0.3, 2.9, 0.3 in ascending order.\nAnswer: -0.3, 2\/303, 0.3, 5\/2, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108591829.\nAnswer: 6353, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-3))\/((-4)\/36). What are the prime factors of (6\/5)\/(t\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 4*w + w)*(-5*w**2 - 4*w**2 + 4*w**2 + (2*w - 1 + 1)*(2*w - 1 + 1) + 4*w**2 - 3*w**2 - 2*w**2 - 2*w**2 + 3*w**2 - 2*w**2).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 6*v + 5. Suppose 150 = -4*m + 4*m + 25*m. Let t = -6 + 6. Let k(w) = 0 - w + t + 2*w - 1. Give m*k(u) + d(u).\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 372\/35, -2, -0.04 in descending order.\nAnswer: 372\/35, -0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.9999978 - -100. Round s to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8972 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3.7. Let i be ((-2967)\/(-21) - 1) + 0. Let u = i - 140. What is the biggest value in 3\/2, x, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-548)\/(-6) - (-6)\/9 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1169*u - 704*u = -6*u + 82148 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h + 1. Let c be k(-1). Suppose n - 6 = -5*x, n = -x + c*x - 10. Suppose x*t + 70 = 4*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 20 = -6*q. Let h = 1.05 + -18.05. Let l = h + 18. What is the third biggest value in -2\/7, 5, l, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + m. Determine s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 2*f - 11. Give p(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 3*b = -315. Let m be (-6)\/4 + 1 - b\/(-2). Suppose 2*x - 18 = -12. Solve x*r - m = -2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1649, -1652, -1657, -1664?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -130.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -26*n + 20 - 25*n + n**2 + 47*n. Calculate the remainder when 34 is divided by v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3002 + -242130?\nAnswer: -234123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16689 by 259.\nAnswer: -16689\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5602*u - 5581*u - 9150939 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 12. Is j equal to 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a factor of 19886880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let x(t) = t**2 - 5*t - 5. Let l be x(6). Suppose 3 + l = 2*n. Let a(q) = 3*q**2 - n*q**2 + 0*q**2. Give c(a(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -37b3?\nAnswer: -37c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-21) + (-127182)\/(-287)?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 12. Let c be p(8). Let d be ((-20)\/15)\/(c\/66). Let t = d - 5. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2d9 (base 14) to base 4\nAnswer: 21013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375328011?\nAnswer: 3, 1409, 88793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Suppose 4 = 3*j - x. Suppose 34*n - 30*n - 2*n**2 + 0*n**j + 6 = 0. Calculate n.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001225502 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -13, 2, 3, -10.\nAnswer: -13, -10, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1181*r + 301*r + 303*r + 281*r + 301*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199 - 237.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -25*d**2 - 8*d + 7. Let r(b) = 4*b**2 + b - 1. Let t(i) = 2*l(i) + 13*r(i). Calculate t(-7).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-3)*(-2)\/((-16)\/18). Let n be (-26)\/6 + 4\/(-6). Is p less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14920 is divided by 7460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*(v**(3\/5)*v)\/v*v))*v\/(v*v*v*v*v**(-14))*(v**(-6))**(7\/10) assuming v is positive.\nAnswer: v**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 135315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9619 + 0.4.\nAnswer: 9619.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-200)\/(-10)))\/((-2)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (4 + 3*(0 + sqrt(432) + sqrt(432)) + 3*(sqrt(432) - ((sqrt(432) - (sqrt(432) - (2 + sqrt(432)))) + sqrt(432))))*2)**2.\nAnswer: 864*sqrt(3) + 15588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/4 - (18 - 33)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 32 - 24 + 136*f**2 + 56.\nAnswer: 136*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1415243 - 4?\nAnswer: 1415237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 760*g**2 + 227*g**3 - 1517*g**2 + g + 762*g**2 - 125*g**3 + 179*g**3 to f*g**3 + a*g**2 + w + z*g and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s - 5*f - 3, -s = 4*f - 6. Let b be (-26)\/s + 8\/(-24). Solve r = -b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -19. Is (85\/z)\/(1\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:40 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000051657 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123 at most as big as 3129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 54. Let w be h(-17). Let x = -19 + w. What is the remainder when x is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*l + l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-2) + 10 + 0. Suppose -4*c + 12 = -3*t, -5*c + 10 = -2*t - 5. Solve 0 = i + 4*p + r, -3*p = 5*i - 4*p + c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(4) + (5*sqrt(28))\/sqrt(7)))\/((sqrt(1800) + sqrt(50) + sqrt(2) + sqrt(2))*-4) + -1.\nAnswer: -1 + 3*sqrt(2)\/74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*u + 24 = 0, -7*u + 2 = x - 4*u. Let j be 7*2 - (-8)\/x. Calculate the greatest common divisor of j and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -87, 5, 1, -10 in decreasing order.\nAnswer: 5, 4, 1, 0.2, -10, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + 0 - sqrt(3) - (sqrt(27)\/(sqrt(9) + sqrt(54)\/sqrt(6)) + sqrt(3)).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*d + 16 - 2 = 0, -5*o - 5*d + 40 = 0. Suppose -3*i - 6 = -o*i. Solve i*l = 2*j, -3*j - 11 = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (510\/(-18))\/(4\/(-72)). Let s = c - 278. Suppose -3*m = -113 + 26. Calculate the highest common divisor of s and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32129492?\nAnswer: 2, 1579, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -39840 divided by -48\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 5*t**2 + 3*t + 6. Let l be m(6). Let p be (-20)\/6 + (-4)\/l. Sort 8, p, 2 in decreasing order.\nAnswer: 8, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**4\/6 + j. Let k(c) = 2*c**2 - 9*c**2 + 10*c**2. Determine k(z(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2. Let n(h) = -1777*h + 3299*h - 1700*h. Give o(n(s)).\nAnswer: -63368*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 0.3, -1\/4, -120631, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a**3 - 48*a**2 + 46*a + 14. Let n(q) = 4*q**3 + 16*q**2 - 16*q - 5. Calculate -14*n(p) - 5*v(p).\nAnswer: 4*p**3 + 16*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 - 588*m + 294*m + 292*m - 49.\nAnswer: -2*m - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 465 + -464. Which is the second biggest value? (a) -1 (b) g (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 27*j - 80. Let m be 672\/(-240) + j\/10. Put 3, m, 1 in increasing order.\nAnswer: m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**3*z)\/z*z)\/z**(1\/6))**31)**(-29) assuming z is positive.\nAnswer: z**(-20677\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -28.55401.\nAnswer: 28.75401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*t - 86*t + 130*t + 515 to i*t + s and give s.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3 - 3)*(5*n**3 - 7*n**3 - 7*n**3) + (4*n**2 - 4*n**2 + 2*n**2)*(3*n + 4*n**2 - 3*n).\nAnswer: 17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14021, 14019, 14017, 14015, 14013?\nAnswer: 14011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1724509112 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 24*r**3 - 16*r**2 + 32*r + 3. List the prime factors of v(6).\nAnswer: 3, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0280452 and 33.\nAnswer: 0.9254916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 900*x**4 + 68394*x**3 - 134100*x**2 + 66603*x.\nAnswer: 3*x*(x - 149)**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 85550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18413053554\/2635 - -6987876. Let j = u + 4\/85. Suppose 2*g - 2*t + 8 = 0, 3*t - 19 = 2*g - 6*g. Which is greater: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1473606?\nAnswer: 2, 3, 29, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -806600 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -110*q - 415. Let r be l(-4). What is the greatest common factor of r and 3475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207\/(-4278) - 2835\/356562.\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 860360.\nAnswer: 2, 5, 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 9. Let j(s) = -1. What is -18*j(l) - 2*r(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1231*i = -1212*i - 114. Let f(a) be the third derivative of 3\/20*a**5 - i*a**2 - 5\/6*a**3 + 0 + 0*a**4 + 0*a. What is the derivative of f(j) wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 23 = 8. Suppose h*f - 36*f = -30. Which is smaller: f or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 3*h**5\/140 - h**4\/14 + h**3\/14 + 38*h. Suppose z(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:00 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -4 + 171*m - 11 - 161*m. Let z be k(-10). List the prime factors of (-45)\/(-2)*(z\/(-15) + -1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofoofff. Give prob of picking 1 o and 2 f.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -213, 348, 1331, 2766, 4683, 7112, 10083?\n\"Answer: 5*l**3 + 181*l**2 - 17*l - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 - 53*b**2 - 306*b - 2. Let f be g(-18). Let m(j) = -21*j**3 - 11*j**2 - j - 21. Let y(d) = 4*d**3 + 2*d**2 + 4. Calculate f*m(i) - 11*y(i).\nAnswer: -2*i**3 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12*r + 23. Let s(t) = -4*t - 8. Let m = -2 + 10. Let i(b) = m*s(b) + 3*l(b). Find the first derivative of i(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11608 divided by -1.\nAnswer: -11608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/10)*z)**37*z**(-1\/12)\/(z**(-7\/5)*z))**5 assuming z is positive.\nAnswer: z**(2461\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 y when four letters picked without replacement from yyyyyffyfyyy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 11737289.2\nAnswer: -11737288.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 735686803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 23*t + 30888 = 0. Let i be -2*3 - (t\/117 + 2). Factor 0 - i*l**3 - 8\/3*l**2 + 2\/9*l**4 + 0*l + 2\/9*l**5.\nAnswer: 2*l**2*(l - 3)*(l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -0.42424?\nAnswer: -11.42424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -879851 divided by -2.\nAnswer: 879851\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -2, 2 in decreasing order.\nAnswer: 2, 0, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 0.05, 0.01 in increasing order.\nAnswer: -0.1, 0.01, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 104\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 14.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and ((-7884)\/(-16) + 24\/(-32))\/1?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10750 * 0.3.\nAnswer: -3225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5003, -4999, -5001, -5015, -5047, -5103, -5189, -5311?\n\"Answer: -n**3 + 3*n**2 + 2*n - 5007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 6 = 3*b, -2*i + b = -3 + 5. Suppose -4*w + 9*g - 8*g + 19 = i, -4*w + 2*g + 22 = 0. Sort w, -1, -69 in decreasing order.\nAnswer: w, -1, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15236447?\nAnswer: 15236447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -306*u**4 + 5*u**3 + 5*u**2 + 5*u - 764. Let q(o) = 3*o**4 - o**3 - o**2 - o. Let g(l) = -10*q(l) - 2*t(l). What is the derivative of g(m) wrt m?\nAnswer: 2328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 70 = -t, -t = j - 6 - 4. Suppose -j*k = -15 - 60. Put -3, k, -23 in increasing order.\nAnswer: -23, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than -416893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4193\/2 - 88145\/42. Calculate the common denominator of p and 65\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-459)\/(-2907)*23104\/48\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24052 + -24050. Solve k*m + 6 = -6*n, -7*m + 1 = -n - 4*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - y + 1)*(-23*y**2 - 10*y**2 + 2*y**2) - 3*y**3 - y**3 - y**3 + 2*y**3 + 5*y - 5*y.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 6*q**2 - 4*q + 6. What is n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -9)*2\/(-3). Suppose -4*s = -4*x - 24, 2*s = -5*x + 9*x + 18. Suppose 6*h - m*h**2 - 6*h - 6*h**s + 8*h = 0. What is h?\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2*b**2 + 5*b**2)*(1 + 1 - 3)*(3*b + 0 + 0)*(2*b**2 - 3 + 3).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2214213528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(5472)*-2)\/(5*sqrt(14)\/sqrt(7)*-2).\nAnswer: -72*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.614986531 to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 29*v**2\/2 + 5*v + 7. Let g be p(3). Suppose -3*b - 107 = -2*h, 2*h + 2*b - g = -0*b. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5405.84 and -0.4.\nAnswer: 5405.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22739310 and 29355?\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -613.000000273 - -613. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7 - 5, -2*v + 5*u = 22. Solve -v*d + 23 - 39 = -2*c, -c = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1843 + 82972\/45. Find the common denominator of 6\/(-90)*6*88\/6 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaataaaax. What is prob of sequence xt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -3*p + 8*z - 0*z, -29*p = -3*z - 963 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -205*y**2 + 2*y + 8. Let v(u) = -15*u. Calculate x(v(n)).\nAnswer: -46125*n**2 - 30*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -49. Is w\/(-3) + (-11492)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 71668 = -18*s. What are the prime factors of s?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*i - 158, 5*r + 3*i - 88 = 315. Calculate the remainder when (27216\/3360 + (-2)\/(-4))\/((-6)\/(-210)) is divided by r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/3)\/b**(24\/5)*b**17*b**(-17\/3) assuming b is positive.\nAnswer: b**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/40 + 48*n**3\/5 - 5184*n**2\/5 - 26. Solve d(l) = 0 for l.\nAnswer: 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 8 = m, -21 = -n - 5*m. Calculate the common denominator of 110\/(-24)*(-2 + n) and 6\/21 - (-1514)\/(-252).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329162009851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (14 + -9 + 4) - 17.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**3 - 8*s - 20. Let i be v(-2). Solve i*u = 48*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4463924 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99515893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**2*l*t**3 + j**2*l*t + 813212*j**2*l + 10710444*j*l*t**3 + j*l + l wrt j.\nAnswer: -12*l*t**3 + 2*l*t + 1626424*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, o: 3, y: 1, i: 3, q: 2}. What is prob of sequence yq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -187935 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzzzwwwwwwwwzwzy. Give prob of sequence zy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327853 is divided by 3451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(1183\/3900)*-77651. What is z rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -760550 divided by 108650?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59150003*f**5*k + 3*f**3*k**2 + 6*f*k - 7514*f + 5*k**2 + 3*k + 4 wrt f.\nAnswer: -1183000060*f**3*k + 18*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260765 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {q: 5, j: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 105. Calculate the remainder when 67 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -622 - -625. Let j(a) = -a**2 - 5*a + 3. Let c be j(-5). Suppose -2*l + c*l - 3 = 2*u, i*l - 4*u = 11. Solve 2*s = -2*q + 4*q, s + l = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, -97, -144, -189, -232?\n\"Answer: k**2 - 52*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5632*q**3 - 532*q wrt q?\nAnswer: -33792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1811400 and 181140?\nAnswer: 1811400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 divided by -608?\nAnswer: -54\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1505\/412 + 10\/103. Let y = -80 + 76. What is the third smallest value in -0.4, -3, d, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 15, e: 3}. What is prob of picking 2 w?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 148. Suppose 2*v - z = -7. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2676142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y - 5 = 0. Let q = y + -9. Sort q, -1, -2 in ascending order.\nAnswer: q, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 221 and -0.40115?\nAnswer: 221.40115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 101*i**2 - 10*i + 1227. Is r(51) a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(44)\/sqrt(4) + -2)**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 596519 and 5621.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25\/8, 1.1, -1\/2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a factor of 16302173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 2*v**3 - 4*v - 20. Let z(w) = -w**2 - 2*w + 1. Let g(t) = -c(t) - 4*z(t). Factor g(q).\nAnswer: -2*q*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.4335 + 0.1435. Let m = 19.3 - 39.7. Let d = m - w. Round d to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50734000 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1647641 or -6\/31?\nAnswer: -1647641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 652551 to the power of 1\/2, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7355.06 millennia in months?\nAnswer: 88260720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from mmmmmwfwjwjwjim.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8833 at most as big as -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*p = -4*j - 129*p + 10, -5 = 4*j - p. Solve j*g = -5*g - 3*h - 4, 2*g = 2*h + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 434890 by 2770.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 12. Let r be (4 - (-14)\/(-4))*d. Calculate the greatest common divisor of r and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14 + 3 - 3*q - 4*q - 25. Let k(t) = -t**3 - 7*t**2 - 3. Let g be k(-7). Let y be c(g). Solve -3*m = -y - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -6*w**3\/5 - 16136*w**2\/5 - 21506*w\/5 - 5376\/5 = 0.\nAnswer: -2688, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13776.00003728 - 13776. What is y rounded to seven dps?\nAnswer: 0.0000373","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**4 + 4675806*m**3 - 2429240194404*m**2 + 420690958386495912*m = 0.\nAnswer: 0, 519534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.5. Let j be 8\/36 + 16\/9. Suppose 0*m - 4 = m - 5*r, j*r = 2. What is the third smallest value in m, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - (sqrt(325) - (sqrt(325)*2 + sqrt(325) + sqrt(325))*-2)**2 - 5*(sqrt(325) + -1))*-5*5.\nAnswer: 500*sqrt(13) + 658000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*k**3 - 39521 - k + 39518 - 202*k**3 to the form j*k**3 + h*k**2 + x*k + r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*h + 35 = 0, 0 = 3*o - o + 5*h + 21. Let c be (1 + 0)\/1 - -3. Suppose c*u - 45 = -u. Solve -o*q = q - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -24*u + 1. Let a(i) = -i + 14. Let j be a(10). Let n = j - 5. Is s(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76 times 5?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-68)*(2 - 0\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -3.8. Let f = g - -2.5. Let z = 0 + 0. Which is the closest to -2\/5? (a) f (b) 1\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 565 and 316965.\nAnswer: 316965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 + 9 = 0, 2*y - 75764 = -4*p. Is 64 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177919 + 41262 = -10*z + 35583. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46 - 8 - -60 - (1 + -4)) + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -504\/899827 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/24 - 0)\/((-1)\/(-1977)).\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2414 from 316.\nAnswer: -2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 12*z**2 - 3*z - 10. Let g be w(-10). Let t = g - 120. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-61 - -7 - -10)\/(4\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgsgegskeekgre. Give prob of sequence bske.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let h be (6 - 2) + (-8)\/8. Let c(i) = -5*i - i**h + 3 + 14*i - 6*i. Let x be c(-2). Determine t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 86\/4 - 2\/(-4). Let u(d) = d**2 - 5*d - 3. Let x be u(8). Suppose -x = 7*p - 10*p. Solve 5*g = p - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 49. What is the units digit of (-1 + (-9)\/b)\/((-4)\/1220)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -12, -25, -38, -51?\n\"Answer: -13*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23404 (base 5) to base 6.\nAnswer: 12001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26865 and 245.\nAnswer: 1316385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, -0.2, 1, 0.1.\nAnswer: -0.2, 1\/11, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801609.4 years to months.\nAnswer: 9619312.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76211 and 6885888?\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 4 - 4 - 2*w)*(-5 + 6 + 27) to v*w + d and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 7\/4)*16. Calculate the highest common factor of f and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 20*c + 43. Let x be d(19). Suppose x = y - 7*y. Let h(r) = -2*r + 3. Give h(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.006 + 0.064. Let r = 8 + -8.17. Let b = r + t. What is the nearest to b in 2, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 490 = -t + 3*t, -335 = -3*l + 5*t. What is the highest common divisor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -601*d + 1293*d - 499*d to i + t*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -10735\/24, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -16.2 + 0.2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**3 - 23*b**2 + 20*b - 100. What is the hundreds digit of w(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 43?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -28*d**2 - 51. Let h(r) = -r**2 - 1. Let j(z) = -5*h(z) - k(z). Let t(i) be the first derivative of j(i). Let c(y) = y**2. What is c(t(q))?\nAnswer: 4356*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6442, 4790, 2038, -1814, -6766, -12818, -19970?\nAnswer: -28222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 + 2860*z**2 + 22364*z - 183820 = 0. What is z?\nAnswer: -707, -13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 159*v - 9. Suppose -l - 4*l - 4*x + 60 = 0, -5 = -x. Suppose o = a + 12, -o - l*a + 4*a = 8. Is y(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5135, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/7))\/g)\/g)**(-28)\/((g\/g**(-5))\/g*g**3)*(g\/((g*g\/g**(1\/3))\/g*g))\/g**(1\/9)*g\/g**(-3)*g**(1\/4) assuming g is positive.\nAnswer: g**(1133\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 86*k - 506. Solve 5*c = i + i + 22, c - k = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**3*u**2 - 10*g**3*u - 38*g**2*u - 3*g*u**2 + 9*g*u + 2*u**2 wrt u.\nAnswer: -8*g**3 - 6*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 160617252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(-3)\/(105\/2). Suppose 0 = 5*s - 4*j - 35, -2*s + 0*j + j + 11 = 0. Which is the second smallest value? (a) y (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458337363.\nAnswer: 3, 11, 761, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(r**2 - r**2 - 2*r**2) - 6*r**2 - 36*r**2 - 25*r**2.\nAnswer: -69*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16140 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-222943.8\nAnswer: -891775.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 18 - 6. Suppose -4*z - 22 = -5*h, -a = z - 1. Which is smaller: h or 22\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13199541283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 14 = -2. Let z = -2 + 7. Let l = -4.6 + z. Which is the nearest to 0.3? (a) -5 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2\/(-3))\/(14\/(-21)) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -0.0204.\nAnswer: 16.9796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -606077 greater than or equal to -606356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 12114*v\/7 - 12112\/7.\nAnswer: -2*(v - 6056)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(84)*1 - sqrt(84)\/(sqrt(8)\/sqrt(2)))\/(sqrt(147) + 2*((sqrt(147)*2 - sqrt(147)) + sqrt(147) + sqrt(147)) - (sqrt(147) + -1*sqrt(147)*4)).\nAnswer: -3*sqrt(7)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541\/((-1278)\/117 - -11).\nAnswer: 13, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 + 1197*q**2 - q + 53316 wrt q.\nAnswer: -24*q**2 + 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t - 3*j, -2*t - 2*j + 3 = -5. Let b be 16002\/2 - 9\/t. What is b rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x**2 + 23*x**2 - 15*x**2)*((-6 + 4 + 4)*(-1 - 5 + 4) + 8 + 0 + 5 + (3 + 1 - 3)*(-2 + 4 + 0)).\nAnswer: -55*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 7 - (-21 - -19)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 8693749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((176\/33)\/16)\/(42\/(-36)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*v**2*x + 111*a*v*x + a - 2*v**2*x - 102*v**2 - v*x wrt v.\nAnswer: -6*a*x - 4*x - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 1. Let o(s) = -s**2 - 10*s. Let h be o(-11). Let g = 4.168 + -0.168. Which is the third smallest value? (a) g (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14\/((x*x**(3\/17))\/x))\/((x**(1\/25)*x)\/(x**(3\/19)\/x)) assuming x is positive.\nAnswer: x**(96427\/8075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:56 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, a: 1, v: 2, z: 3, l: 7}. What is prob of sequence zadz?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221001022002 (base 3) to base 10.\nAnswer: -493022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-6 - 0) - -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**2 - 355*y. Let u(d) = -d**2 + 71*d. Determine -2*c(f) - 11*u(f).\nAnswer: -f**2 - 71*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42236263?\nAnswer: 127, 332569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5270*d - 4212*d + 2*d**2 + 15895*d + d**2 - 2*d**2 + 2*d**2 + (-3 - 3 + 4)*(0*d**2 + 2*d**2 - d**2).\nAnswer: d**2 + 6413*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1075*w + 247*w + 597*w - 9595 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/37481622 and -59\/22.\nAnswer: 412297842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/1 - (-19125)\/25. Suppose -44 + n = 6*v. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 + 9248*d - 10690688 = 0.\nAnswer: 2312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 1)\/(6\/99). Let n = 60 - 53. Suppose 2*p - 27 = -n*p. Calculate the highest common factor of p and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**3*r**2 + 732*j**3 + 19*j**2*r**2 - 2*r**2 wrt r?\nAnswer: 4*j**3*r + 38*j**2*r - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -991, -984, -959, -910, -831?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1814224.\nAnswer: -5442672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/9 + 376*y**4 + 2818534*y**3\/9 - 8334040*y**2 + 491287225*y\/9.\nAnswer: y*(y - 13)**2*(y + 1705)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 4*c + 7*f = 10*f + 57, 19*c = -4*c - 3*f + 429 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3747, 2198, -391, -4020, -8689?\n\"Answer: -520*h**2 + 11*h + 4256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 69.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Solve -f*o = -2*j + 4, -5*j = o + 1 - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 4, 0.06, -0.4, -107, -4 in descending order.\nAnswer: 38, 4, 0.06, -0.4, -4, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 19. Let r = -2.4 - -2.1. Which is the nearest to 1? (a) 3 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4243.7 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13210321 - 113?\nAnswer: -13210434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 19099129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(4*l - 5*l + 6*l)*(-101 + 193 - 506 - 543) + 5*l - 2*l - 2*l + (-2 + 2 + 2)*(-l + 0*l + 3*l) - 2*l + 2*l - l.\nAnswer: 4789*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 40238647 = -t, -t = -3*g - 47313510 + 7074883. Let n be (-1*1)\/((-2)\/t). Let w = -11919321 + n. Round w to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i + 7. Let p be n(3). Let a(y) = 3*y - 6. Suppose 4*s - 15 = -3. Let u be a(s). Solve -4*q + 24 = -u*k, -p = -0*k + 4*k + 5*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1147696222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9a (base 15) to base 11.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 19*a - 8. Let j(w) = w**2 + 10*w + 4. Determine 3*g(k) + 5*j(k).\nAnswer: 2*k**2 - 7*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 6, a: 7}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*f**2 - 35*f**2 - 15*f**2 + 0*f**2 + 2*f - f - f**2 + 3*f**2 - 2*f**2 + 0*f**2 + (-f + 0 + 0)*(-4 - f + 4).\nAnswer: -56*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10829236?\nAnswer: 2, 11, 246119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119.74 - -137. Let w = 8.63 + i. Let l = w + -26. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3994.\nAnswer: 2, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 23890825, -4, 3, 0.1?\nAnswer: 23890825","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n = -34*n + 85*n - 51. Solve -5*s = -4*z - 11, 15 = -n*z - 6*s + 3*s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from cccscscccccccccccccc?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51857 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-1)\/(-3)*-4. Suppose -3*t - 5*p = 34, 0 = -5*t + p - 227 + 189. Put 0, v, t in descending order.\nAnswer: 0, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 430004199\/17 or 25294366?\nAnswer: 430004199\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12292 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130)*-2 - sqrt(130))*3)\/sqrt(10))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -197*k**3 - 213*k**2 - 6*k + 4164976 wrt k?\nAnswer: -591*k**2 - 426*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n + 10 = 169 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - w - 1. Let c(q) = q**3 - 2*q**2 - 3*q - 1. Let i be c(3). Let y be j(i). Is y*3\/6 + 35 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5*z = 57111 - 57025, 3*w + 5*z + 78 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -49*q**2 + 3. Let f(u) = 1863*u**2 - 115. Suppose -9*g + 1157 = -21*g - 223. Determine g*w(x) - 3*f(x).\nAnswer: 46*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3\/5*t**2 - 3\/5*t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.207 + -90.793. Let j = -92.56 - n. Round j to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14945.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -208, -85, 120, 407?\n\"Answer: 41*g**2 - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -395 + 423. Suppose 121*z = 128*z - g. Sort z, -2\/19, 1 in ascending order.\nAnswer: -2\/19, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -347480*g**5 - 1181413*g?\nAnswer: -6949600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 83 + 91. Let g = 73 + b. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-4)*(8 + -6). Suppose -5*o + 8*o + m = 0. What is the closest to 1\/2 in -2\/5, o, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10153872*p**3 + 5076942*p**3 + 5076927*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(-6 - -19)*-4. What is the nearest to -1\/6 in h, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24422 - -22952. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 3*o**2 + 4*o - 1. Suppose 3*r - 3 = 3*k, 2*r + 9 = -k + 5*r. What is the remainder when 32 is divided by a(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 9579*s**2 - 9579*s**2 + 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9419499 + -9419612.00094. Let y = d + 113. What is y rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2747 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1. Let r(s) be the first derivative of 2\/3*s**3 - s + 4 + 0*s**2. What is -3*r(t) + 5*x(t)?\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 - -2.28?\nAnswer: -68.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -2*w. Let g be ((-70)\/(-25))\/(w\/5). Let z be (4\/g)\/(45\/63). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**2 + 200*h - 16569 = 0.\nAnswer: -263, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 13) + -57 + 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 32661017.\nAnswer: 32661016.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*3 + (-825)\/(-55). What is the nearest to 0.1 in v, 2, -2, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 18*u**2 + 18*u + 20. Let c be d(-17). Suppose c*z - 12 = -0*z. Solve 5*w = -z*n - 1, -2*n + 3*w = -w - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.99999894 + 31. What is c rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3970.02 + 3970.1. Let a = -0.4 + 0.1. What is the third smallest value in h, a, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q = -12 - 72. Let y(a) = 5*a**2 + 21*a + 55. Is 13 a factor of y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*j**2 - 71*j + 26494 wrt j?\nAnswer: -66*j - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26331 + -26288.9996. Let i = -41.95 + -0.05. Let t = f + i. Round t to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -6. Let s(g) = -g**3 + g. Calculate s(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 4*r + 40 = 0. Solve -5*n = -r - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in -87, 3, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7253671?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9179600 to the nearest one hundred thousand.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4037, -3100, -1589, 454, 2987, 5968, 9355, 13106?\n\"Answer: -7*b**3 + 329*b**2 - b - 4358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i + 246*i - 2348 = 1908. Let r(m) = -m**2 + 9*m + 98. Give r(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -19 + 10 + 0 + 8. Let f = -3 - -2. Let v = f + 2. Put j, v, -0.02 in decreasing order.\nAnswer: v, -0.02, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26404 and 22491493?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 120*o - 45. Let d(v) = 239*v - 80. Give -4*d(r) + 7*q(r).\nAnswer: -116*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 - 9 = 0. Let g(h) be the second derivative of h**5\/20 + h**4\/2 - h**3\/3 - 3*h**2\/2 - h. List the prime factors of g(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**15)\/(y*y**(1\/4)*y))**6)**(1\/12) assuming y is positive.\nAnswer: y**(59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 51 (b) -0.2 (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323232230 (base 4) to base 2.\nAnswer: 111011101110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -338078.356 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 45 + 96. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.72841131 to four dps.\nAnswer: 2.7284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/9 + (-1180)\/1062. Put 0, 4, x, 5 in increasing order.\nAnswer: x, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 270 = -2*j + 5*g, 2*j = -g + 93. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 20, -13, 0, -11, 2, -6.\nAnswer: -13, -11, -6, 0, 2, 20, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -8 + 2. Let c = -11 + r. Let q(y) = y**2 - y - 1. Let s(a) = -a**3 - 3*a**2 - 2*a + 3. Let p(g) = -2*q(g) + s(g). What is p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 34591378 divided by -5\nAnswer: -34591378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045494 and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*h**2 - 27585026*h + 5015460.\nAnswer: -2*(h + 1253865)*(11*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1273*k**2 - 932*k**2 + 401*k**2 - 58*k**2.\nAnswer: -1862*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/7 + 240364*a\/7 + 480736\/7 = 0. Calculate a.\nAnswer: -2, 120184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28440902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 578, 3909, 12664, 29471, 56958, 97753?\n\"Answer: 438*j**3 + 84*j**2 + 13*j + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4076*r = -925*r - 356*r - 327825 + 11762 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**3 + 5*m**2 - 196*m wrt m.\nAnswer: -36*m + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -1801*l - 3. Let i(u) = 1496*u + 3. Let o(a) = -5*b(a) - 6*i(a). Let v(j) = j + 1. Determine -o(g) - 5*v(g).\nAnswer: -34*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -15*v**2\/2 - 40*v + 4504. Calculate m(-13).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019854118 rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kovowss. What is prob of picking 1 o and 1 s?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 + 16*d - 18. Let z(c) = 13*c**2 - 32*c + 37. Let r(a) = 5*o(a) + 2*z(a). Factor r(p).\nAnswer: -4*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2085*l - 9292 = -2921*l - 901*l + 67499 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*c - 5*c - 77, 0 = -5*c - 5. Let m = t - 36. Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 30 = -5*r, -3*n = 2*r - 184. Let z = n - 43. Calculate the lowest common multiple of z and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1264*-7.81\nAnswer: 9871.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559*m = -513*m - 1040980. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65\/3452583 or -1?\nAnswer: -65\/3452583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.3280429 to two decimal places.\nAnswer: 107.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4549\/1430 - 333\/110. What is the nearest to -0.001 in l, 3\/7, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 5899116*k + 11798244.\nAnswer: -3*(k - 2)*(k + 1966374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 293145?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3)*(-2 + 0 + 4)*(-4*z + 0*z + 0*z).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*(sqrt(125) + 1)*-4 - (-1*-2*sqrt(125)*-1)**2) + 3)*-3.\nAnswer: -7515 - 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -1.2. Which is the fourth smallest value? (a) -0.2 (b) w (c) 1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/7, 0.18, -1\/2.\nAnswer: -5, -1\/2, 0.18, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4704*y**3 + 4712*y**3 - 9414*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**2 + 25*y + 20. Let w be a(9). Let c be -4 - (3 + -16 - -4) - 2. Solve 3*f - w*f = -3*o - 5, -4 = c*f - 2*o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -83249*q - 5577676. What is y(-67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3101 by -5.\nAnswer: -3101\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 45 = 3*k - n, -k - 10 = -2*n. Let o(r) = r**2 - 12*r - 11. Let l(a) = a**2 - a + 1. Let q(x) = 2*l(x) - o(x). Is q(k) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29\/7 in -867\/5, 0.2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 30*k + 25.\nAnswer: 5*(k - 5)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132 - -136. Let j = r + -8. Is 0.06 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:35 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y - 28 + 28.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 72 (b) -1\/4 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674194 to the power of 1\/2, to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - 114726492?\nAnswer: -114726536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f - 12*f + 7061 - 11219 = 0 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 p when four letters picked without replacement from mmmmdpdmpdmdpdmm?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50373 and 10140?\nAnswer: 170260740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 14) + (1 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11709\/4 - -2936. Which is smaller: -19\/6 or d?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3168 divided by -8?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/17 + 4*n**4\/17 - 4*n**2\/17 - 2*n\/17.\nAnswer: 2*n*(n - 1)*(n + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2. Let q(w) = -13*w - 1. Calculate l(q(h)).\nAnswer: -338*h**2 - 52*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6486 - 2*c + 7*c**2 + 2*c - 6487.\nAnswer: 7*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243532 divided by 6?\nAnswer: -373922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g. Suppose g*d - 2*d = 0. Suppose -3*j = 2*w - 8, 3*j + d*j - 3*w - 3 = 0. Solve -j*q + q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = n - 5, 11 = -4*q - 5*n. Let s = q + 2. Let j = s + 5. Sort 0.4, 0, j in increasing order.\nAnswer: 0, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6969030 rounded to the nearest ten thousand?\nAnswer: -6970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100222000 (base 4) to base 8.\nAnswer: -20205200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**5\/20 - 403*x**4\/12 + 812*x**3\/3 - 814*x**2 + 432*x. Let a(n) = 0. What is n?\nAnswer: -407, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-4))\/((-1)\/(-252)). Suppose -2*g = -10*g + j. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 8. Suppose 3*d + 2*h - 3 = -0, 4*d - h = r. Solve d = 2*g + 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 4*s + 1 + 3*s**2 + 0*s**2 + 2. Let z be m(-3). Solve -2*n - 2 - 6 = z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79937162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-735)\/(-1659)) + -10 + 21?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 21. Let p = -12 + x. Is 2\/11 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168259201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - -1 - 0 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000100001 - -11001010111?\nAnswer: 1111001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*k + 28, -2 = -2*u - 3*k - 0. Suppose 0 = -10*q + 19*q - 2241. Let r = 242 - q. Put r, 0, 5, u in increasing order.\nAnswer: r, u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97387 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -7\/24*f**4 - 2\/3*f**3 + 0 - 1\/60*f**5 + 4*f**2 + 0*f. What is n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*q + 1. List the prime factors of (-411)\/(-21) - q\/(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4892007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5\/3)*p*p*p)\/p*p)\/(p**(-11)*p))**(-10) assuming p is positive.\nAnswer: p**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 210 = 186. Sort 0, n, -7.\nAnswer: -7, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3456)\/4032*14\/(-24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 1. Suppose 0 = -0*r + 2*r. Suppose -5*c - 5 = -5*d, 0 = -r*c + c - 4*d + 1. List the prime factors of z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1184 by 4.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x + 55*x - 2 = 5*l, -l = -4*x - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 43) + (38 - 14) + 125 - -21.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 6 (c) 0.116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2744)*2)\/(sqrt(200)*-1) + (2*(sqrt(28)\/(sqrt(8)\/sqrt(2)) + sqrt(1008)*-2 + sqrt(7)))**2).\nAnswer: -81312 + 84*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 4*q + 6, 617*q = -5*d + 611*q + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3443*y + 3427*y = 256 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 not equal to 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5645 - 882065470*j**2 - 5645 + 882065468*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p. Let c(z) = 37*z**2. Calculate u(c(m)).\nAnswer: -111*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -y - 12. Suppose 0 = -5*l - b + 24, -4*l - 5*b = -42 + y. What is the nearest to 0.1 in -3\/5, l, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 22*m. Let o(z) be the second derivative of -28*z**3 + 2341*z. What is o(u(g))?\nAnswer: -3696*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.2 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1978 = 2*y + 2*a - 2006, -9972 = -5*y - 2*a. Suppose -3*j = -y + 517. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93163 - 11971 = 12*i. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 9*q - 17. Determine f(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*-1*(-970)\/(-30). Let h be 3*4*(-1 - -2). Suppose -h = -d + z. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0048768 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -8*w**3\/3 - 2*w - 9. What is f(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -15. Let k be h\/(-4)*(-8 - 2). Put 2, 0, k in decreasing order.\nAnswer: 2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7162676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16462059 >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1.52 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 6) + (2 - 2) - -8 - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356*i**2*u**2 - 3*i**2*u - 2*i*u**2 + 2*u + 92 wrt u?\nAnswer: 712*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 278 and 0.03.\nAnswer: 8.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/8 + 47*r**3\/8 + 123*r**2\/8 - 423*r\/8 - 297\/2.\nAnswer: (r - 3)*(r + 3)**2*(r + 44)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + q = -10 - 1, 10 = -2*f - 2*q. Let z = f + 2. Let g = 5 - z. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -565504*q + 565507*q + c - 36 = 40, -6 = -6*c for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7962 + 8607. What are the prime factors of i?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:14 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, 168, 1\/7, 0.1, -1\/2, 1 in decreasing order.\nAnswer: 168, 1, 1\/7, 0.1, -1\/2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = -4*m. Suppose 30 = m*d + d. What is the third derivative of -6 + 9*s**2 - 11*s**3 + s**2 + d wrt s?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 6*w - 25. Suppose 20 = y + 4*a - 211, -3*a = -w*y + 1201. Suppose -71 = 4*f - y. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let b(m) = 8*m + i*m - m**3 - 6*m**2 - m + 10. What is the tens digit of b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41699, -45175, -48651?\nAnswer: -52127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1254 and 10868?\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nll when three letters picked without replacement from {t: 1, l: 2, n: 4, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6577 is divided by 244.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (1\/6 - -2))\/((-744)\/(-4464))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*a + 2. Let l = 16 - a. Differentiate 6*y**l + 24*y**2 - 24*y**2 + 9 with respect to y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let s be o(-1). Let x be (s + 2 + 5)\/(-2). Is 0 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19007640 rounded to the nearest one hundred thousand?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*y**2 - 83*y**2 + 59*y**2.\nAnswer: 158*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 179999, 179761, 179363, 178805, 178087, 177209?\n\"Answer: -80*n**2 + 2*n + 180077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(3\/8)*s*s**(-10\/3)*((((s**(-6)*s)\/s)\/s)\/s)\/((s\/(s\/(s*s\/s**(2\/27))*s)*s*s)\/s*s*s) assuming s is positive.\nAnswer: s**(-2999\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 2*i**3\/3 + i. Let x(z) be the second derivative of -5*z**3\/6 + 29*z. Give 3*g(n) + 2*x(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbb when three letters picked without replacement from blbblllfbbilllzibf.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1104\/336 - 2\/7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1788 and -0.2.\nAnswer: 1787.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 12*b. Let q(o) = -o**2 + o. Let y(f) = 2*q(f) + u(f). What is the second derivative of y(m) wrt m?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 26 = -6. Let s = c + -1. What is the second derivative of -5*k**3 + s*k**3 - 2*k + 4*k + 0*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*t - 129 + 597 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12053 is divided by 245?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + ((-12)\/8)\/((-1)\/10)*(-20)\/(-150).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 12*n - 10. Let w be p(-5). Solve 0 = 2*t - 4*t + 4*f + 8, 4*t - f - 16 = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 1, -9, 2, 4 in descending order.\nAnswer: 72, 4, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 21 - 27. Suppose 4*v - b - 9 = 0, -4*v + v + 2*b + y = 0. Let d = 26 - -7. Calculate the highest common factor of v and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(3\/4)*d\/d**36)\/(d*d\/((d\/(d\/(d*d**(-1\/4)\/d*d)))\/d*d)*d*d*d*(d**(-3\/17)*d)\/d))**(-16) assuming d is positive.\nAnswer: d**(10560\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:27 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 758749.1kg in micrograms?\nAnswer: 758749100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, j: 5, n: 1, f: 3}. What is prob of sequence een?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-2))**(-11\/2)\/((r**(-2\/9)\/r*r)\/((r\/(r\/(r*r\/r**(-4))))\/r)) assuming r is positive.\nAnswer: r**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041387 to the power of 1\/2, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*s - i, -40*s + 35*s - 2*i = -91. Solve 0 = -5*y - 2*f - 1, 5*f - s + 14 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3392 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 75.51641 nanometers?\nAnswer: 0.07551641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2464 is divided by 1792\/(-672)*(-27 + (-4 - -1))?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - q + 2. Let s be m(0). Suppose s*l + 4*h = l, 3*l + 3*h = 0. Solve l*a - 4*a + 3*k + 20 = 0, 3*a = 2*k + 14 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -2\/5 (b) -2\/13 (c) -2\/25 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637360 to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 16*z + 6. Suppose t + 5*a - 27 = 14, t = 5*a + 31. Suppose 3*w + 3*v = -t, 2*v - 15 = -v. What is the remainder when 67 is divided by p(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 3*a + 17, -n + 8 = -2*a. Suppose 160 = -n*b + 4*b. What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -2*((sqrt(15) + 2*sqrt(15))\/sqrt(3) + 0 + sqrt(125) - (sqrt(720) + sqrt(720)*-4)**2*1)).\nAnswer: -12958 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*h = -3*h - 13, 4*y - 4*h = -12. Put y, -0.2, -0.1 in ascending order.\nAnswer: y, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3404 (base 12) to base 3\nAnswer: -21220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8310658297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 15 + 1. Let c be ((-4)\/(-1))\/(-1 - 1). Let w = 16 - c. What is the least common multiple of f and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43.66 + -43.26. Which is the fifth biggest value? (a) l (b) 3 (c) -14\/9 (d) 0.5 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 175 - 907. Let a = h + 242. Calculate the remainder when a is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4, 3*s + 0*f + 23 = 2*f. Let b = 5 + -3. Let d(p) = 5 + p + b + 0*p. Give d(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 39 = 0. Let t(p) = 17*p**2 - 5*p - 1. What is the remainder when t(-2) is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67081339 to the power of 1\/3, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(2\/22*99\/(-54))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/2 - 14679*a\/2 - 256270 = 0. Calculate a.\nAnswer: -14644, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 = 4*s, 0 = 4*p + 3*s - 0*s - 11. Suppose 3*m = 2*m + 3*d - 4, 6 = 4*m - d. What is the remainder when m is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pllp when four letters picked without replacement from zqvlvzvqzaplzv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6509228421 rounded to two decimal places?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 1129?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*r**5 - 24*r**5 - 26*r**5 + (-2*r**4 - 2*r**3 + 2*r**3)*(3*r + 3*r - 4*r) + 2*r**5 + 2*r**5 - 2*r**5.\nAnswer: -11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + h = -7, 0*c - 5*c = -4*h - 30. Suppose 0 = -3*d - c*r + 219, -3*d - 5*r - 90 = -4*d. Let u = d + -41. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 30 = 950. Solve -28*w = -21*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -1 - (-8)\/(-24)*-15. Solve x*l - 27 = -31 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 16*o**2 + 27*o - 14. Let a be c(-14). Let z be a + -1171004 - (-2 + -4 + 2). What is z rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.546 or -90430?\nAnswer: -90430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753334719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358246 is divided by 217?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaao when four letters picked without replacement from {a: 3, q: 2, j: 1, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 415, 936, 1665, 2602, 3747?\nAnswer: 5100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*q + 30, q + 6 = 5*i + 33. Suppose 4*p - 8 = q. Suppose 0 = -z + 4*z - 3*x - 3, 11 = -z + 5*x. Sort z, -2, p in decreasing order.\nAnswer: p, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/14 - (-4)\/14. Let k be (-1)\/(-1) + 0\/t. Suppose k = -2*p + 7. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(1\/2)*b*b)*b*b)**11*b**(2\/19)*b\/b**2)**(-2\/3))**(-2\/13) assuming b is positive.\nAnswer: b**(350\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3198, -2, -1, 2\/21, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81226, -81223, -81218, -81211, -81202, -81191, -81178?\nAnswer: -81163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18256 = 232*r + 4336. Which is the second smallest value? (a) -13 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27261125*p**3\/4 + 13636400*p**2 + 46705*p\/4 + 5\/2 = 0. Calculate p.\nAnswer: -2, -1\/2335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:16 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 2126879*x**2 - x - 1063439*x**2 - 1063436*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39216 and 1824?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546316.\nAnswer: 2, 61, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4 - 740*t**3 + 4260*t**2 + 6500*t - 10024 = 0.\nAnswer: -2, 1, 7, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Let a = -2 + c. Let w = -805\/1203 - -1\/401. Put 3, w, a in ascending order.\nAnswer: a, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 9. Let i be m(-7). Let l = 56\/3 - 227\/12. Which is the smallest value? (a) i (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/11 or -6.1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s - 5*n = -173, 0 = -543*s + 542*s - 2*n - 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8188523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Let y be (-6)\/15*(-5)\/7. Suppose 5*a - 4 = 16. What is the nearest to y in -5, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766483.5 nanograms to grams.\nAnswer: 0.0007664835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10cc55a (base 14) in base 7?\nAnswer: 125131043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*w**2 + 31*w**2 - 27*w + 27*w - 56*w**2.\nAnswer: -146*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*a**4 + 14*a**2 + 5023*a wrt a?\nAnswer: -708*a**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5760*j + 41073 - 533542 = -683*j for j.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3303 + -1450015\/439. Find the common denominator of d and 23.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, q: 1, o: 2, j: 1}. Give prob of picking 2 m, 1 o, and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 1691?\nAnswer: 5073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(2 + x - 2)*(356 - 1037 + 554)*(2 - 2 - x).\nAnswer: -254*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6561321nm to kilometers.\nAnswer: 0.0000000000006561321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac3 + -9197?\nAnswer: -73a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 24. Let o be 2 + (z\/1)\/2. Calculate the lowest common multiple of 20 and (2 + -3)\/(o\/2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -10*k + 41. Give y(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let u = 35 - 32. Suppose 29*t - 12 = 23*t. Which is the closest to w? (a) u (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -12. Suppose 2*x + 5*b + o = -15, 0 = -x + 2*b + 12. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -480, -469, -444, -399, -328?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 196837\/56 + -3514. Calculate the common denominator of -13\/40 and p.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120 (base 3) in base 13?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 185947233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(17) - (sqrt(17) + -3)**2) - (sqrt(17) + sqrt(833) + sqrt(17))**2*1.\nAnswer: -1405 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o + 5\/3*o**3 + 0*o**2 + 32. Let s(g) = g**2. Let a(d) = 3*d**2. Let r(l) = -a(l) + 4*s(l). What is t(r(i))?\nAnswer: 5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 1077455.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/20 and ((-417)\/3 - 10)*(-4)\/(-2856).\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79*13240.\nAnswer: -1045960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 5*f**4 + 0*f**4 + (-f**2 + f**2 - 2*f**3)*(f + 4 - 4) + 11*f**4 - 16*f**4 - 21*f**4.\nAnswer: -29*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, 4, 791, 38.\nAnswer: -13, 0, 4, 38, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3754 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-2))\/3 + 6\/4. Suppose 0 = 3*z - 6*z - 9, j*h - z - 288 = 0. Suppose -175 - h = -3*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyooyo. What is prob of sequence oyy?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -959.0594 - -959. Let g = 29.8594 + l. Is g equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 157.2912 milliseconds?\nAnswer: 0.1572912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3863\/2685 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-5 - (-25 + 2 - 46)) - 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 6*k - 1. Suppose 60 = 5*i - 5*l, 2*l + 11 = 3. Give f(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5760 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47298 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110010 - -10101010101100?\nAnswer: 10011010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727*i + 78*i - 895*i + 86*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) -2\/19 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8\/7 (b) -36 (c) -11 (d) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4010 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-156)\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53623775 (base 8) to base 11.\nAnswer: 6530409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 23 - (-289 + 257) - -17.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -451945 + 451945 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 3*q**2 + q. Let v be p(2). Suppose 1 = 5*k - v*k. Let g be (8 + 4)\/3 - k. Solve -g = m - 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.37 + -47.\nAnswer: -44.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22104 - 495252?\nAnswer: -473148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -13*j - 2*j + 6*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*h - 7616 + 46985. Suppose -149*j + 146*j = -h. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14003507311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.421 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5*n**2 - 52 + 56 - 3*n**2 + 2*n**2. Let x(t) = -1. Determine j(q) + 6*x(q).\nAnswer: -6*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*j - 40 = 89*j. Solve 3*x + 3 + 9 = 0, 2*g = j*x + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*d + 51*d - 898 - 492 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -17 - (13 + -8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**18*(f\/(f\/(f*f*f*f*f\/f**33*f)*f)*f)\/f assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g + 10. Calculate t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 5*c - 12, 2*n - 3*c = -4. Let k(s) = -s + 3. Let m be k(0). Solve m*g - 1 = -n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**17\/(x**(2\/11)*x*x))\/(x**11\/(x**(1\/6)*x)))**(-11) assuming x is positive.\nAnswer: x**(-329\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 - 2*d - 2. Suppose -2 = -5*o + 13. Suppose -2*g - 2 = 0, 3*x - o*g = -1 + 10. List the prime factors of m(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 2*r**2 + 2*r + 1. Let k be 2\/(-8) - (-14)\/(-8). Let t be x(k). Let p be 0*(-16 - 143\/(-9)). Sort -5, p, t, 4 in decreasing order.\nAnswer: t, 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 4*g + 154. What is the lowest common multiple of g and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184387120.\nAnswer: 2, 5, 2304839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3700 is divided by 310?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 2*s + 4. Let l be n(0). Let a be 10\/l*8\/5. List the prime factors of (0 - -4)\/a*22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r - 8826 = -623 - 61423. What is the remainder when r is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 1280 = 137*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158169389 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**3 + 6*l**2 + 73*l - 19. Let b be g(-10). Let o = b + 24276. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*q + 9 + 3 = 0, 2*d = 3*q + 21. Suppose 3*i + d = 21. Which is bigger: 2\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8513264*c*h**3 - 2987496*h**3 wrt c?\nAnswer: -8513264*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -3. Let k = z - -9. Solve -k*p - p = -16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 108*a + 17. Is g(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.018619 - 0.181381. Let j = -1.8 - -9.8. Let v = -8.3 + j. What is the smallest value in p, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (-24)\/(-32)*-4*1. Let l(w) = -w**2 + 4*w**2 + w**2. Let z be l(c). Which is smaller: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.884 and -31.6.\nAnswer: -33.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-5 + 0 + 1) + (-5 + 3 + 3)*(-5 + 5 - 2))*(0*n + n - 4*n)*(0 - 3 - 3)*(-107 + 14 - 47).\nAnswer: 25200*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -892*a + 81179. What is o(91)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) -6 (b) -97 (c) 1189\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k - 6*k + 30*k**2 - k in the form m*k + g*k**2 + u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 151*n + 928. Calculate the remainder when 2026 is divided by t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150013 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1245, 1150, 993, 774, 493, 150, -255?\n\"Answer: -31*y**2 - 2*y + 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and 1635999.\nAnswer: -6216796.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4 = 19*b - 18*b, -3*b + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-52)\/1)\/4)\/(-2 - -1). Let s(i) = j*i + 14*i - 28*i + 5. Let w(n) = n**2 - 5*n + 4. Let q be w(4). What is s(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3737318 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)\/(f\/(f**0\/f)))\/(f**(-2\/15)\/(((f**(7\/4)*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-1087\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34859639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013964 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1403*m**5 - 323*m**5 - 6*m**5 - 3*m**5 + 4*m**5 + 0*m**5 + 0*m**5 + 4*m**5 - 2*m**5 + (5*m - 2*m - m)*(3 - 3 + m**4).\nAnswer: -1727*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 16*p + 10. Let v be n(-7). Let b be (4 - (-144)\/(-30))\/(v\/30). Suppose 0 = -18*l + 148 + 140. Solve b*z + l = 10*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.1 - -7. Let x = 0.02 - -0.98. Let n = h + x. Which is the closest to -1? (a) -0.2 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*j = -5139 + 3760 - 6811 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3931, -4028, -4123, -4216, -4307?\nAnswer: -4396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 - w**3 - 5*w**2 - 3*w = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 + 169. Suppose 3*h = a + 69. What are the prime factors of h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 20. Suppose -z - 77 = -2*l - w, -2*z = -4. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1349 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (101184\/(-8160))\/(2\/5)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9384 divided by 31\nAnswer: 9384\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-3)\/6). Let g(i) = -i**3 + 7*i**2 - 13*i + 5. Let a be g(4). What is the nearest to 1 in a, -0.4, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.3 + 10. Let u = 0.6 - k. What is the third smallest value in u, 2\/13, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 23 = -12*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7600866830 to the power of 1\/9, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*y = -6*y + 5, y - 15 = -4*l. Suppose 0 = -9*t + l*t. Let x = t + -1\/7. What is the third biggest value in 0.1, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by 10090.\nAnswer: -99\/10090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 1563, 4, 82 in descending order.\nAnswer: 1563, 82, 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13868628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 380519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 7*u**2 + u + 10. Let j be s(7). Suppose -4*y = 5 - j. Solve y*a = -3*p - 12, -a - 3*p + 5 = -5*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -2\/5, 9\/5 in decreasing order.\nAnswer: 9\/5, 1, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 193 = 13*x - 263. Suppose 3*o = k - 127 - 28, 3*k - 451 = -5*o. What is the greatest common divisor of x and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4966 + -4971. Which is the nearest to -2? (a) 3\/7 (b) 253 (c) g (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-2*sqrt(96))*-3 - (1 + -4 + 0 + sqrt(5))*-6)**2.\nAnswer: -459*sqrt(5)\/2 + 33741\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**16*y)**(-4\/11)*((((y**0\/y)\/y)\/y)\/y*y)\/y**(-31) assuming y is positive.\nAnswer: y**(364\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 7*q - 2. Let d be 3\/(-2) + 70\/(-28). Let a be w(d). Suppose -a*r - 3*r + 15 = 0. Calculate the smallest common multiple of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 19. Let y(m) = m**3 + 5*m**2 - 115*m - 27. Let g be y(9). What is the third derivative of 145 + h*j**4 - g - 32*j**2 - 73 wrt j?\nAnswer: 960*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90756)\/(-7563)*2\/(-648).\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 21. Let z = r + -8. Which is the closest to 1? (a) z (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*h = 4*t + 14, -5*t - 16 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, -1\/5, 1185\/56.\nAnswer: -1, -1\/5, -0.1, 1185\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 1:06 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2 - 33645*h - 7429010 = 0.\nAnswer: -214, 6943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 - 74. Let d = -81 + i. Let a = d - -44. What is the nearest to -0.1 in a, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.6949907 nanograms?\nAnswer: 0.0000006949907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:09 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**5\/7 - 12*z**4 + 237*z**3\/7 + 120*z**2 + 528*z\/7 = 0 for z.\nAnswer: -11, -4\/3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, r: 1, q: 5, l: 4}. Give prob of picking 2 k and 2 q.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 13*r**2 + 36*r - 5. Let c be h(-4). Sort c, -3, -4, -1, 0 in descending order.\nAnswer: 0, -1, -3, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 112 - 112. Let m(a) be the first derivative of 3 - a**3 + b*a + 0*a**2 + 3\/5*a**5 + 0*a**4. Find the third derivative of m(s) wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -185\/3822 and -1*312\/1764*10\/(-4).\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/17 less than 0.678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 51. Let r be 11 - ((-4 - -2) + v\/1). Suppose 0 = -12*i + r*i - 39. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-6))\/(4\/6). Suppose -5*g = -c - 3. List the prime factors of (1 - 0)\/(g\/6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**2 - 3627*i - 14595. Determine o(-4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 - q**4\/24 - 7*q**3\/6 - 2*q**2. Suppose -25*c + 10 = 10. Calculate y(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*t + 6 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-5)\/(-650))\/((-11)\/((-858)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*m - 195 + 5449 = 1018 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.3, 0.4, 36\/11, -0.5 in decreasing order.\nAnswer: 8, 36\/11, 0.4, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6*m = 3*m + 17, m = -1. Let n be (1 - -1)*3 - d. Suppose 0 = 3*o + n*c - 92, -3*c + 29 = o - 4*c. Calculate the least common multiple of 15 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24962457?\nAnswer: 3, 13, 37, 17299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 206*j**3 - 615*j**2 + 413*j - 1261. Determine h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2623\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3349 + 11380. What are the prime factors of q?\nAnswer: 3, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4753 and 588.\nAnswer: 57036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 34 = 8*l. Let v = l + 28. What is the first derivative of -3 - v*x**2 + 1 - 2 - 2 wrt x?\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from jjsj?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 43712*b - 477684736.\nAnswer: -(b + 21856)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 48. Solve -5*b + m = -5*o, -6*b + b + 2*o + 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 - -103.347507719?\nAnswer: 597.347507719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 8*h - 12. Let w be j(2). Suppose -3*x - 9 = 2*f, 5*f + w*x = x + 20. Solve 2*y + y = -f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 3*b. Let y = b + 0. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169 + 29 - 13*o + 27 + 63 + 50.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjgd. Give prob of picking 1 g and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 1994432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-21)\/3 + (3 - 3))\/(-1). Let p(x) = -x**2 + 8*x - 4. Let v be p(i). Is (0 + 3)\/(v\/877) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 3276?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 2*b**2 - 5*b - 3. Suppose 63*j - 6156 + 1809 = 0. Calculate the remainder when j is divided by a(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -113*m**2 - 8*m - 7. Let l(b) = -b**3 + 3*b**2 + 10*b + 2. Let p be l(5). Suppose -4*r - 18 = p*r. Let c be x(r). Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + r + 19 = 0, -13*b + 10*b = -3*r - 27 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114.8 - -114.3. Which is greater: -31 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 7. Suppose -73 - 7 = -4*k. What is the highest common divisor of w and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/13 - 67\/39. Let k be (-4)\/(4\/213) - (-10 + 13). Let d = 1946\/9 + k. What is the closest to p in d, -2, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*n - 2*n - w, -25 = 5*w. Suppose -2*j + n*u = 3*j - 1388, u = -4*j + 1107. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13170 divided by 5\nAnswer: -2634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 + (2 - -1). Let y(m) = -3*m**t + 4*m - 4*m. Let x(o) = o - 2. Let s(a) = 5*a - 9. Let l(u) = -2*s(u) + 9*x(u). Determine y(l(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 173 - (-4 - -3). Suppose v = -4*d - d. Let f = d - -50. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2649370.\nAnswer: 2, 5, 23, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775599349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p. Let w be d(4). Let g be (w\/(-1))\/(0 - 2). Suppose 0*i + i + 3*h = -g, 3*h = -6. Solve 0 = -i*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + u - u**3 + u**3 - u**3 + u**2. Let s(b) = 4*b**3 + 6*b**2 + 6*b - 1. Give -6*c(w) + s(w).\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337326?\nAnswer: 2, 3, 11, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1203*m**4 - 327*m**4 + 239*m**4)*(-2 - 3 - 4)*(-2*m + 0*m + 3*m)*(0 - 4 + 3 + (-1 - 4 + 3)*(-1 - 3 + 3)).\nAnswer: -10035*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/7409 - 6594004\/22227. Let x = q + 298. Solve 2\/3*g**5 + 0*g**4 - x*g**3 + 0*g**2 + 0 + 2\/3*g = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-18))\/((-1)\/(-6)). Suppose -4*v = 5*z - 12, w*z - 2*v = 2*v + 16. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -21 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x + 117. Give g(20).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346017 is divided by 12698.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10380022, 10380029, 10380048, 10380085, 10380146?\nAnswer: 10380237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 19*m**2 - 7*m - 1. Determine g(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20032 + -2?\nAnswer: 20030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25771 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 5.2932?\nAnswer: -5.4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8803556, -17607085, -26410614?\n\"Answer: -8803529*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*g*p**3 - 225*g*p + 8*p**3 + 200*p + 3 wrt g?\nAnswer: -58*p**3 - 225*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 17*n - 9. Let i(q) = 16*q - 9. Let x(b) = 7*i(b) - 6*u(b). Suppose 12 = h + 2. Calculate the smallest common multiple of x(2) and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:43 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10427462 and 549?\nAnswer: 93847158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, m: 1, s: 1, b: 1, n: 1}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*f + 0 + 6 - 6 - 4*f + (5 - 2 - 4 + (-2 + 5 - 4)*(1 + 0 + 1))*(3*f + 0*f + 0*f) - 2*f + 1 - 1 as n + l*f and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987574062?\nAnswer: 2, 3, 29, 5675713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1638\/16 + 30\/(-80). Is (37893\/v)\/((-1)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 153*u + 5708. Give x(-184).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 2. Let x(q) = -11*q + 3. Let g(c) = -6*n(c) + x(c). Let b(l) = 4*l + 8. Calculate 4*b(d) + 3*g(d).\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = 30. Let q(h) be the first derivative of 7*h + 6 + 8\/3*h**3 + 0*h**2. Let g(x) = 9*x**2 + 8. Calculate s*g(m) + 7*q(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:51 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(153) + (-1*sqrt(153) + sqrt(153) + 3)**2.\nAnswer: 9 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99)\/(-1*sqrt(900)) + 3 + (-5 + 2*sqrt(891) + sqrt(11) - (0 + sqrt(77)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: -1801*sqrt(11)\/10 + 3593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 - 4*m**2 - 4*m - 2. Suppose -4*h + 28 = 3*i, -4 = -i - i + h. Let u(l) = 2*l**3 + 3*l**2 + 3*l + 2. Give i*u(j) + 3*f(j).\nAnswer: -j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808925 is divided by 3246.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -180.3124 and 0.18.\nAnswer: -32.456232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409 at most as big as 2411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1. Let p be (-36)\/(-16) + k\/(-4). Let d = -9359 - -9364. What is the third smallest value in 1\/15, d, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(1800)*1)\/sqrt(9))**2*1.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 3420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1193 smaller than -9545\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + 28 - 23) + -23 - 19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -222 + 317. What is the highest common divisor of u and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -47*g + 6. Let j be s(14). Is 2*(0 + j\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 - l + 9*l**4 + 19 + 5*l**4 - 13*l**4 - l**3 to f + h*l**2 + u*l + a*l**4 + v*l**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 72. Let l = 42 - r. Let d be (-2 - -3) + -7 + l. Solve 5 = 5*s, -4*y = d*s - 13 - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 29, 79, 181, 353, 613?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.911904 litres?\nAnswer: 5911.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-15)*(6\/(-8))\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10046271.52 + -7987.\nAnswer: 10038284.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -433 in 3, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12573 - 6214. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -859a7 (base 13) to base 16\nAnswer: -3adeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/(-36) - ((-44)\/(-45) - (-132)\/(-110)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) -2 (c) 6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15987 + -15985. Solve -8*k + f = 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(1936) - sqrt(1936)*-1 - sqrt(1936))\/(-5*(sqrt(4) + sqrt(4)*2)))\/((sqrt(1078)*-2 - sqrt(1078))\/(2*sqrt(275))).\nAnswer: -4 + 22*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -42 - 1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2129 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -490 - -484. Suppose 0 = 3*w + l - 5, -2*w - 3*l - l = 0. Calculate the remainder when -18*(f + (-85)\/(-15)) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -13. Let b be s\/3*(-6)\/(-10). Suppose -b*v + 57 = -0*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2048112 and -83\/28512.\nAnswer: 12288672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v - 60 = -57*v. Suppose l + 1 = v. Let d(u) = -l*u**2 + 6*u**2 + 9*u**2. Let j(b) = -3*b. Give d(j(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 6, e: 3, x: 1, s: 2, u: 2}. Give prob of picking 1 s and 1 b.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2849*n - 5770*n + 3315*n to f*n + j and give f.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 1. Let b(j) = 7*j**2 + 12*j - 2. Let z(g) = b(g) + 3*p(g). Is z(-8) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1333121 and 5.\nAnswer: 6665605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/219660 and 23\/4518720.\nAnswer: 31631040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1110492913\/603 + -1841613. Let a = n + -2\/201. Factor -4\/9*k + 0*k**2 + a*k**3 - 2\/9*k**4 + 2\/9.\nAnswer: -2*(k - 1)**3*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19627 is divided by 75?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**4 - 25539*v**3 + 57*v**2 + 1710.\nAnswer: -48*v - 153234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let x be d(3). Suppose 2*v + 3*u + 11 = 0, -x*v - u = -1 + 2. Let w be 3\/1*(-1 + v). Put -1\/4, w, -2 in decreasing order.\nAnswer: w, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(162) - sqrt(162)) - (sqrt(162) + -5 + (sqrt(162)*-3 - sqrt(162)) + sqrt(162)))**2 + ((-3 + sqrt(162) + -1 + sqrt(162))*-1*4)**2.\nAnswer: -1584*sqrt(2) + 21017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/48*(-3)\/(-20). Let m = 8 - 5. Put m, 1\/2, b in descending order.\nAnswer: m, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*y + 18, -4*a + 0*y - y - 6 = 0. What are the prime factors of (9 + a - -4)*5?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2 + 3*u + 4662. Let r(q) = -2*q**2 - q - 1554. Give -4*j(k) - 11*r(k).\nAnswer: 2*k**2 - k - 1554","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.2 + 25. Let t(o) = 167*o - 1168. Let c be t(7). What is the closest to c in 10\/7, -1, v?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 - 3053*x**4 + 75727*x**3 - 81299*x**2 - 1384256*x + 1392880 = 0.\nAnswer: -4, 1, 5, 23, 3028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r - 3*r + 9*r**3 + 18*r.\nAnswer: 9*r**3 - 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*n - 4*n - 3240. Let a = -196 - -81. Let q = n + a. What is the remainder when q is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1\/(u**(-3)\/u))\/(u\/(u**(-1\/3)*u)*u*u*(u*u*u**(-9))\/u) assuming u is positive.\nAnswer: u**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -21. Suppose -v*u + 137 = 5*j, 0*j = 3*j + 2*u - 81. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*s + i - 4, i + 8 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2354462 (c) -1\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 143964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1513680237 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6845 and 15870817?\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 39*w**2 - 27*w + 66. Let v(m) = -3*m**2 + 2*m - 5. Suppose 3*g + 5*s = 2*g + 17, 3*s = 5*g - 1. What is g*x(l) + 27*v(l)?\nAnswer: -3*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2203 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7731*d - 1873. Is v(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) - (-3 + 2*sqrt(450) + sqrt(450)) - (-5 + 1 + sqrt(450)))**2.\nAnswer: -630*sqrt(2) + 4099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -261.678 + 262. Let f = -0.018 - w. Let s = -4.66 + f. Sort 5, 2, s in decreasing order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -183\nAnswer: 14\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from bneebbebyen?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 166*g**2 + 1348*g - 1184.\nAnswer: 2*(g - 74)*(g - 8)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -573\/161 + -20\/23. Let s = 378 + -683\/2. Find the common denominator of j and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 20*s**2 + 8*s + 18. Calculate the remainder when p(-4) is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 52. Sort 2, h, -1, 4 in descending order.\nAnswer: 4, 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.795 times 152241?\nAnswer: -273272.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 736 and 161.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, n: 3}. What is prob of picking 1 c and 3 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 11029141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*y**2 - 707*y**2 - 12755 + 12755 - 252*y**2 - 472*y**6 wrt y.\nAnswer: -56640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-9 - (-26 + -12))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -436 (b) 3 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Let m be 4 - (1 + 0)*(-20 - -9). Suppose 0*r + r - m = t. Calculate the remainder when 27 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let d be (t - 1)\/(1\/4). Calculate the greatest common divisor of 72 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-118)\/12 - (-3)\/(-18). Let h = -6 - b. Suppose 5*w - 7 = r, 4*w - 4*r + 0 = -4. Solve w*n - n = h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/11 and -182.5715 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b - 4. Let n be t(3). Suppose 5*j + n*y - 130 = 3*j, -j - 3*y = -59. What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 893613 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 61 + 49 = 0. Let q = 5 - 1. Suppose 15 = q*u - 5. Calculate the greatest common divisor of i and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 5*n**2 + 3*n - 4. What is c(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2. Let m(u) be the first derivative of -2*u**3 + 3*u**3 + 1 + 1. What is f(m(q))?\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/2 + 5358*j**4 - 28319369*j**3\/2 - 1042741509*j**2 - 12637575630*j - 11608999164 = 0 for j.\nAnswer: -57, -14, -1, 5394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, g: 3}. Give prob of picking 1 a and 3 g.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-988)\/(-39)*12\/16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3)*(0*h + 0*h + h**2) + (0*h**2 + 3*h**2 - 4*h**2)*(3 - 4 - 1) + 4*h**2 + 3*h - 3*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ciiz when four letters picked without replacement from {i: 8, z: 4, c: 1}.\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/53280 and 7\/12?\nAnswer: 53280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29768961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/4095 and -29\/9828.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 29*a**2. Let s(j) = -30*j - 1. What is s(r(i))?\nAnswer: -870*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34723 is divided by 457?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 4, 21.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(2\/3)\/n*n)*n)**(18\/13)\/((n*n**(-8))\/(n\/(n**0*n))) assuming n is positive.\nAnswer: n**(79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*d**2 - 3*d**3 - 768*d**2 + d**3.\nAnswer: -2*d**3 - 930*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 - 4)) + 5 - (44 + -79 - 47).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142444450 divided by -13690.\nAnswer: -10405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 555800 divided by -111160?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -30. Suppose 105*r = 111*r + 1038. Let m = r + 176. Calculate the smallest common multiple of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 117 = -4*c, o - 2*c = -o + 92. Let w = o - 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2257706 - -1199391. Let j = -3232386453\/935 + i. Let f = 2\/187 + j. Put -1, 2, f in decreasing order.\nAnswer: 2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 3924.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-9)*0)\/(-1 + 2). Suppose -5*c + a*c + 21 = w, w - 9 = -2*c. Suppose -5*v + 794 = c*k - 758, -4*k = -3*v - 1520. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyo when three letters picked without replacement from yooooooooy.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -5. Suppose 2*b = 6*b - 12. Let p = x - b. Round p to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189566 - 1706090\/9. Let -2\/9*d**3 + 0 + g*d**4 + 0*d**2 + 0*d + 2\/3*d**5 = 0. What is d?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9350 + 9349. Put 40, g, 5 in descending order.\nAnswer: 40, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -905272, -905338, -905450, -905632, -905908?\n\"Answer: -4*m**3 + m**2 - 41*m - 905228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90.2 in -63\/46, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*o + 24368, -54*o - 121910 = -5*y - 58*o. What is the greatest common factor of y and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 1 + 1 + (-5 + 5 - 2*j)*(0 - 2 + 0) - 2*j - 3*j + 4*j - 3*j + 0*j + 0*j + (2*j + j - 5*j)*(1 - 3 + 1) + 4*j - 2 + 2.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1) - 2\/(-2)) + -1. Let f be (-1 - a)\/(0 - 1\/(-2)). Suppose -14 = -f*n + g, 0 = -3*n - 3*g - 2 + 5. What is the remainder when 17 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 374 + -373.99238. Let w = h - 0.007. What is w rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944.0767 years to centuries.\nAnswer: 9.440767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1309 = 13*b - 1434, -b + 2*k = -20 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from rxpzmpux?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*a**2 + 50*a**2 - 10*a**2 + 2*a**2 - 3*a**2 + 2*a**2 + (2*a - 3*a + 3*a)*(-5*a + a + 2*a) + a**2 - 2 + 2 + 573*a - 32*a**2 - 573*a.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1378 - -1383. Let t be -60*(1\/(-2))\/(-1). Let g be (-132)\/t + 2\/(-5). Sort 6, -5, g, o in decreasing order.\nAnswer: 6, o, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204 - -205. Solve -31 = -4*z + c + 2*c, -z - c - s = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c3 + -4c7?\nAnswer: 4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 4:32 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.61 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-232)\/(-32) - 8 - 5\/(-4). Which is the nearest to 2\/7? (a) 2\/5 (b) -4 (c) g (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -37*r**2 + 65*r + 1. Let l(d) = -3*d**2 + 4*d. Determine -i(s) + 11*l(s).\nAnswer: 4*s**2 - 21*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 103063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2249828556 minus 0.5?\nAnswer: -2249828556.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + 1 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -0.05. Let d = q + -0.07. Which is the third smallest value? (a) d (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43 - -7.43. Let t = -7.02 + v. Let k = t - 0.48. Sort 2, k, 0.2 in descending order.\nAnswer: 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/7)\/(2 - 816\/406).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cc69 (base 15) to base 3.\nAnswer: 11202211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 4*y**2 - 2*y + 8. Let m be v(4). Let i(r) = m*r - 3*r + 2*r + 0*r. Let k(z) = -5*z**2. What is i(k(l))?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*o + 12, 5*p - 2 = -2*o - 17. Suppose -b + 4*u + 4 + 8 = 0, 0 = -4*b + 4*u + 24. Sort o, b, -4 in descending order.\nAnswer: b, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(-3)\/q)*q)*q*q**6)\/(q*q**0)**(-38) assuming q is positive.\nAnswer: q**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 131\/((-31440)\/(-90))*(-4)\/21?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 1 - (15337\/30 - (-206)\/2060). Which is greater: -515 or p?\nAnswer: -515","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8133281 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 1, f: 2, t: 1, z: 2}. Give prob of sequence fz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246186845.\nAnswer: 5, 1999, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418666 is divided by 257?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1404*t**4 - 2333*t wrt t.\nAnswer: 16848*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4396 + -4395.999968816. What is j rounded to seven dps?\nAnswer: 0.0000312","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + -3 - (5*sqrt(7)*-2)**2.\nAnswer: -703 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -179, 0?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -364 + 366. Let l(h) = 27*h**o - 26*h**2 - 2*h**2. Let b(c) be the third derivative of -c**4\/12 - 7*c**3\/6 - 3*c**2. Calculate b(l(y)).\nAnswer: 2*y**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - ((-5)\/(25\/60))\/(-2). Is 5\/z*8 + 1155 + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*v - 3. Let h(x) = -6 + 0 + 4*x - 5*x. Let p be h(v). Solve -5*i - p*j + 1 = -7, 5*i - j = 23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 4*k - 2*k - 3*k + 7*k - 2*k + (4*k - 4*k + k)*(2 + 0 + 0) - 1 + 1 + 2*k)*(1 - 3 + 256*k - 242*k) to the form y + x*k**2 + c*k and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j**2 + 3*j - 3. Let h be y(5). Let k(c) = -c**2 - 35*c - 87. Let p be k(-24). Let w = h - p. What is the highest common factor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 110. Let g = -41 - l. Which is the second biggest value? (a) -1\/4 (b) -1 (c) g (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, p: 3, g: 4}. Give prob of sequence vpv.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -17517.321 to the nearest ten.\nAnswer: -17520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + 154. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 366, 731, 1096?\n\"Answer: 365*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 f when four letters picked without replacement from cfffasvacvfavcsv?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.7 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(-3*sqrt(7)*-1))\/(sqrt(6)*2*-4 - sqrt(6) - -1*sqrt(6)*-2)*-1 + 3.\nAnswer: sqrt(3)\/33 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 3*i - 379 + 379.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 10622*w - 10660*w + 1 + 1 - 41*w**2 + 75*w**2 in the form y + f*w**2 + a*w and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -298. What is the third derivative of 8*j**6 - m*j + 172*j + 8*j**2 wrt j?\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*l = -2*m - 24, 5*l - 27 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -44267335401847?\nAnswer: -44267335401849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**3 + 7*r**2 - 2*r - 4. Give f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4859630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 9. Let v be h(-8). Let y = v + 1. Solve -30 = 5*p - 3*r, y*r = 4*p - 4*r + 32 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -2 (c) 2 (d) -9 (e) 288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -848 + 690 + (8 - 190\/(-76)*6\/5).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 2\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (700\/36)\/(450\/(-270))*(-30)\/(-126)\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -14 - 10. What is the tens digit of (-4)\/k*258\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 1. Let w be (-4 - -1) + 1 + 6. Let v(p) = 5*p**2 - 12*p - 1. Let t(a) = w*f(a) + v(a). Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffcvgffmfccici. Give prob of picking 1 g and 2 i.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(1\/4)*r)))**(6\/5))**36 assuming r is positive.\nAnswer: r**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10313992 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62811 is divided by 10391?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9315.434 meters?\nAnswer: 9315434000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*l**2 - 183*l**2 + 790*l**2 - 222*l**2 - 177*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l. Let x be ((-10)\/(-3))\/(3 + -5 - l). Let o(b) = -b**2 - 2*b. Let j be o(-3). Is j greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 14, -3, -38, -97?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11.02. Which is the second biggest value? (a) -5 (b) w (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - l**3 + l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38650, -308930, -1042446, -2470816, -4825658?\nAnswer: -8338590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 1\/10*f**7 + 7\/8*f**4 - 1\/4*f**5 - f**3 + 22*f**2 - 1\/56*f**8 - 1\/8*f**6 + 0 + 0*f. Determine l, given that p(l) = 0.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9774 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-4))\/(2\/(8\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**3 - 43*g**3 - 34*g**3.\nAnswer: -47*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/4)*w*w*w**(-3\/5)*(w\/(w\/(w*w\/w**(-2))))\/w**(2\/7)*((w**(1\/2))**(-2\/7))**12 assuming w is positive.\nAnswer: w**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 - (-37)\/(111\/(-42)). What is the third biggest value in 0.009, 2\/61, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001516755 rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 586*y**2 - 66*y - 486. List the prime factors of q(-7).\nAnswer: 2, 5, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 6*o**2 - 2*o - 9. Let w be d(-6). Let f be (-1)\/w - (-2)\/(-3). Let s be 1\/(-1)*(-4)\/22. What is the nearest to f in -1\/5, 0, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-27)\/(-243) + 8\/90. Let h(p) be the third derivative of 0*p + 1\/30*p**6 - 35*p**2 + 0 - t*p**5 + 1\/3*p**4 + 0*p**3. Suppose h(r) = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 73*n - 311*n - 4522 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -124062 (base 7) to base 3\nAnswer: -1011120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0) + 0 - (-267 - -269).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28b - 216?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in -2\/15, -75, -3\/4, -0.3, 0.5, 3\/23?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -7*f**3\/6 - 2*f - 12. Let t(i) = -2*i - i + i. Calculate t(k(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168*d**5 + 4*d**3*p**2 + 4*d**2 + 175*p**2 wrt d?\nAnswer: -10080*d**2 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216 = 5*a - 97*a - 60*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62, -2, 0.8562?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7*o**2 - 2*o - 3. Suppose j + 3*m + 32 = 6*j, 0 = 5*j + 4*m - 4. Let v(q) = 13*q**2 - 4*q - 5. Let k = -237 - -230. Determine j*v(w) + k*y(w).\nAnswer: 3*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + 732?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 10*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -i - 9. Let o be (i\/(-16))\/1*(-2 + -2). Solve -2*z - 12 = b, 2*z - 4*z - 28 = o*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84511, -169053, -253595, -338137?\nAnswer: -422679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (544\/8)\/(18\/2727).\nAnswer: 2, 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 570 and 45207330.\nAnswer: 858939270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(264\/18))\/(504\/64).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + b - 2*b)*(2 + 2*b + 9*b - 4*b + (2 - 5 + 2)*(2*b - 4*b - b)).\nAnswer: 20*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 2282151*r\/2 - 5208213186801\/4.\nAnswer: -(r - 2282151)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 25784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 611*q. Let b(t) = -112*t**2 + 2*t. What is a(b(z))?\nAnswer: -68432*z**2 + 1222*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16321355.\nAnswer: 5, 3264271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*f**3 + 249*f**3 + 295*f**3.\nAnswer: 498*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/84 + -3*21\/98*24\/54.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*q + 19, 4*q - 4*j - 18 = 18. Suppose -12 = -q*r + t, -4*r - 2*t - t = -2. Suppose c - 3*l - 1 = 0, 0*l - 4*l = -4. Solve r*s + 2*s = -c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.23 - -11.22997486. What is k rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -13. Let u = 2 + -1. Which is the closest to u? (a) 2\/7 (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 1. Let c(p) be the third derivative of -p**4\/24 - p**3\/3 + 2*p**2. Suppose 20*o - 47*o - 44*o + 142 = 0. What is o*j(a) + 2*c(a)?\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -1.3, -8\/63, -0.6, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1711 and -788.\nAnswer: -787.8289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 16) in base 8?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034912 to 6 decimal places.\nAnswer: -0.000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {j: 3, t: 1, i: 9, b: 1}?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -213*v + 841. Give y(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five quarters of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9a203 (base 13) to base 5\nAnswer: -32414420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*r + 2. Let h(p) = -257*p**2 - p - 2. Let k be h(r). Is (-3 - k - -2)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 + 38 + 30 + 39 - 25*h.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3456171, 13824656, 31105463, 55298592?\n\"Answer: 3456161*j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 0 + 13 - 4 - 2*b - 5. What is t(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*b + 3*w, -3*b - 4 = 3*w - 7. Suppose -5*g + q - 2 = -4*g, b = 5*g + 4*q - 35. Solve -c + 0 = -g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-32) - (-34)\/8. Let k(t) = -h*t**2 - 2*t**2 + 7*t**2. Let v(a) = -4*a. Give v(k(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 610 and 456036?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105208903, 210417808, 315626713, 420835618, 526044523?\nAnswer: 631253428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/34 - -379\/136. Calculate the common denominator of (1\/6)\/((-24)\/(-5256)) and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022 (base 3) to base 12\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 2, 204872?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 665018*k**4*y + 5*k**2*y**2 + k*y + 611*y**2 - 2*y + 133 wrt k.\nAnswer: 2660072*k**3*y + 10*k*y**2 + y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -48, -33, -16, 3, 24, 47?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 7. Let y be f(6). Let m(t) = t**2 + 2*t + 6. Calculate the remainder when m(y) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 1.3. Let p = 35 + -32. What is the second smallest value in x, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5222.61 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1088*n**3*q**3 - 37*n**3*q - n**2*q - n**2 - 7*q**4 + 4*q wrt q.\nAnswer: -6528*n**3*q - 84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27734 or 28412?\nAnswer: 28412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -82, 0.4, 3\/14, -1 in ascending order.\nAnswer: -82, -3, -1, 3\/14, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -23*b - 15. Let t(c) = 8*c + 5. Let i(w) = -17*t(w) - 6*v(w). Let z be i(0). Let k = 17 - z. Calculate the greatest common divisor of 60 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 692 - 644. Suppose 8 = -44*d + j*d. Let b be 3*(4*-1)\/(-2). Solve b = -0*a + d*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*z + 190, 2*z - 5*j + j - 200 = 0. Calculate the remainder when z is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 70*l**2 - 84*l + 432.\nAnswer: 2*(l - 36)*(l - 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 10. Let q(k) = -11. Give 3*q(g) + 2*w(g).\nAnswer: -2*g - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.1 + -17. Let i = x + -0.10004. What is i rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.03, -58, -2\/19, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002973 rounded to five decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 16 + 16. Suppose -t + 15 = 6. Let s = p + t. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, 2*c = 2*z + c + 2. Solve -2*t + z*t = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + (sqrt(325) - (sqrt(325) - (-1 + 1 + sqrt(325)))) + sqrt(325))**2 - (-4 + 2 + sqrt(325))) + ((-4*(sqrt(325) + -1*sqrt(325)))**2 + -3)*2.\nAnswer: -5*sqrt(13) + 2921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 0.01 (c) -0.8 (d) -1\/8 (e) -1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert b50780 (base 12) to base 9.\nAnswer: 5311356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17520983443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 29*b = -8. Suppose 5*d + 17 = f - 18, b*f + 3*d = 163. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*t - 25, 289*w = 285*w - 2*t + 26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 14*y**3 + 214*y**2 + 78*y + 49. Give x(-15).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 74 = 5*k. Suppose k*p - 14635 = -p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3256, 13017, 29284, 52057, 81336, 117121, 159412?\n\"Answer: 3253*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 6*z = z + 15, -2*b + 3 = -z. Solve 5*u + 25 = -b*v - 3*v, 0 = 2*u + 4*v + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3888874754 to the power of 1\/2, to the nearest integer?\nAnswer: 62361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54083376 and 2106.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10 - (-2 - -3))\/(-1). Let h = k + 13. Suppose h*i = 22 + 2. Let p(a) = a + 1. Let b(y) = y**2 - 7*y - 6. Determine i*p(r) + b(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -912, -3, 3, -4 in ascending order.\nAnswer: -912, -6, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -330579870 > -330579871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2. Suppose 4*l + 558 = 7*l. Let q(i) = 6*i**2 + l*i - 186*i. Calculate t(q(o)).\nAnswer: 72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 - ((-63)\/81 - 7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8349117901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 15*i**2 + 20*i + 14. Calculate l(-6).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 109 = -4*y, 0*y - p - 99 = -4*y. Let t = y - -26. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**4\/12 + 7*t**3\/6 - 6*t**2. Let m(r) = -2*r + 6. What is 5*m(g) - 4*y(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*y - 565534 + 562344 = 0 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d + 86. Put -1, 2, d in increasing order.\nAnswer: d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -28 - 29 - 30 + 115 - 27. Let w(k) = -k + 2. Calculate w(f) - 3*y(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*x**2 - 10*x**2 - 152*x**2 - 5*x**2.\nAnswer: -101*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 84*m + 399. Let s be k(79). Suppose -6 = g + 7. Sort -4, 2, s, g in descending order.\nAnswer: s, 2, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g - 15 = -11*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/143, -0.013, -0.2 in descending order.\nAnswer: -0.013, -18\/143, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7242.9774 and 0.11604.\nAnswer: -7242.86136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*u - 1 = 0, -3*f - 2*u + 16 = f. Suppose 0*d + 51 = f*d. What is the remainder when 49 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66494 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*r + 5*w, 3*r = 3*w - 2*w - 241 + 244 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 0.16, -1\/7, -75?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 385164585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 2*u - 7*u**3 - 4*u + (0*u - u + 0*u)*(5*u - 4*u - 32683 + 134*u**2 + 32685) to the form y*u**2 + c*u + r + l*u**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b**5 - b + (-2*b - 1 + 1)*(2*b**4 + 0*b**4 + b**4).\nAnswer: -7*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 36*g - 19. Suppose -3*h + 39 - 3 = -2*j, -j = 0. List the prime factors of y(h).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1407*d + 305. Let g(j) = -848*j - 153. Let v(y) = -3*a(y) - 5*g(y). Calculate v(9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 198*v**2 + 8*v + 70. Let g(f) = f**2 + f + 7. Let d(s) = -b(s) + 10*g(s). Let r(q) = 2*q. Calculate r(d(y)).\nAnswer: -376*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*w + 60 - 5*w**2 + 6*w**2 + 60*w to the form l + k*w**2 + q*w and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 3*z**3 - 20517*z**2 + 2082894*z - 9901920 = 0.\nAnswer: 5, 98, 6736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -24?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*1\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**2 - 2*y**2 - 4*y**2 + (-1 + 4 - 1)*(3*y**2 - y**2 + 0*y**2) - 3*y**2 + y - y + (7*y + 5 - 5)*(-4 + 4 - y).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*r - 3*v, -r - r + 5*v = 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 204*u**2 + 13872*u + 314432.\nAnswer: (u + 68)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5087856, 5087846, 5087836, 5087826?\n\"Answer: -10*t + 5087866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -51*h**2 + 149796*h - 26433 = 0.\nAnswer: 3\/17, 2937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -366064 (base 13) in base 10?\nAnswer: -1298509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2869 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 146 = -5*v - 176, -3*l - 2 = 2*v. Is 108\/47 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1010\/2394 + 8\/(-18). Let l = h - -1009\/56525. Which is smaller: -2\/3 or l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.007313 * 2\nAnswer: -0.014626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*y + 12 = -1, 3*r - 3*y - 183 + 177 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7102275625*k**5\/6 - 63920312075*k**4\/6 - 95879962463*k**3\/3 - 31959481839*k**2 + 1516941*k\/2 - 9\/2.\nAnswer: -(k + 3)**3*(84275*k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520026.1nm to kilometers.\nAnswer: 0.0000005200261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**5\/180 + 7*d**4\/36 - 49*d**3\/18 - 11*d**2. Find m, given that b(m) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**4 + 26 + 2*a**4 + 6*a**2 - 24205*a**3 + 24206*a**3 to the form s*a**4 + g*a**3 + y*a**2 + h + r*a and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16928664 take away -60.94336?\nAnswer: 16928724.94336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2932130994 and 2847.\nAnswer: 2847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 282, 5 in increasing order.\nAnswer: -1, 3, 5, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 5*m - 7. Let h be l(3). What are the prime factors of (52\/10)\/((-1)\/h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -734304 divided by -22947.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 306?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(891) + -1)*2 + (sqrt(891) - 2*-2*sqrt(891) - sqrt(891) - sqrt(891)) + (-2*sqrt(891)*-4 - 1*sqrt(891)*3))**2.\nAnswer: 540*sqrt(11) + 89109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 8*j = 3*j + 25330, d - 5072 = -4*j. Is ((-2)\/3)\/((-16)\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 744 is divided by 234.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 - 8913*j**2 + 6624585*j - 6615675 = 0 for j.\nAnswer: 1, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s + 8. Let f(o) = -o. Let q(a) = 4*f(a) + n(a). Let x(j) = -15*j + 15. Let d(l) = -5*q(l) + 3*x(l). What is the derivative of d(i) wrt i?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let q be 0 + 6 - (-19)\/(38\/(-64)). Is q at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 5\/3*s**3 + 0*s**2 + 8 + 0*s. Let y(v) be the second derivative of v**3\/6 - 9*v. Calculate y(z(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/10 - 7*h\/10 - 6\/5.\nAnswer: -(h + 3)*(h + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (177*-2)\/((-21)\/14) - -4.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/48)\/((-42)\/16).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*o + 44*o + 94*o)*(-9*o + 2*o + 23*o + 15*o).\nAnswer: -1364*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8799016673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/55))**(-1\/29))**17 assuming a is positive.\nAnswer: a**(-34\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -242724180 and -835.\nAnswer: -242725015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2661599.51 to the nearest 100.\nAnswer: -2661600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 - -11010111111110?\nAnswer: 11010110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 (base 11) in base 5?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*w**4 - 17*w**4 - 3*w**2 - 2 + 374*w - 374*w to o*w**3 + b + a*w**2 + u*w**4 + s*w and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12393 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168837?\nAnswer: 3, 167, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 + 24\/(-20)*5\/2 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-90)*-7*10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 10930*r**2 + 3163256*r + 19373448.\nAnswer: 2*(r - 5158)*(r - 313)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 + 1.6. Which is the biggest value? (a) 0.4 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = u + 2*u - 2*f, 0 = u - 4*f + 6. What is the second smallest value in -0.3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.122 from -1053.5.\nAnswer: -1053.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*t - 6*t - 11 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 70020384*c - 70020380 = 0. Calculate c.\nAnswer: 1, 17505095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -12. Suppose 5*x = 3*m + 15 - 50, 0 = r*m - x - 95. Calculate the least common multiple of m and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3230 divided by -5.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4066331 is divided by 35985.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*-13*(5*9\/15 - (-57 - -59))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 4*w**2 - 9*w + 33. Let y be h(4). Let j(z) = 3*z + 1. Determine j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 3.8, 10.3, 0.5, -1\/5, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870835.\nAnswer: 3, 5, 11, 127, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*j*s + 2*c*s - 64*c - 9*j*s + 83*j - 3*s wrt j.\nAnswer: -c*s - 9*s + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 9) to base 8.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16010869.\nAnswer: 7, 41, 55787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418663 is divided by 565.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**3 - 12*q**2 + 2*q - 2. Let z(r) = -1 - r + r**3 - 4816*r**2 + 1 + 4821*r**2 + 1. Determine 5*n(t) + 12*z(t).\nAnswer: 2*t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - -8)) + -3 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17453.6249 times -0.5\nAnswer: -8726.81245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 less than 0.065445000352?\nAnswer: -88.934554999648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/7 + (-20)\/70. Let r = -10 + 3. Let h(n) = -n - 10. Let j be h(r). What is the third smallest value in -5, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2217344 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4522 is divided by 822?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2354, -2130, -1532, -374, 1530, 4366, 8320?\n\"Answer: 31*y**3 + y**2 + 4*y - 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4. Let j(d) = 7*d**2. Give h(j(z)).\nAnswer: 49*z**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11 = -2*f, 5141 = 4*s - 3*f + 5184 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 = j - 2, -5*j - w - 104 = 0. Let b = j + 25. Let z = 0.3 - 0.8. Put 2, z, b in ascending order.\nAnswer: z, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 1624.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (138\/8*(-72)\/81)\/(99\/297)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/8 + a**3\/2 - 3*a**2\/4 + a. Find p such that g(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 + -120. Sort 3\/8, d, 0.3, 0 in descending order.\nAnswer: d, 3\/8, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 26*w**2 - 7*w + 28. Calculate r(3).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.91681473 to 1 dp.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 1f?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 12:16 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2226466435?\nAnswer: 5, 12541, 35507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7298\/12 + 32\/(-192)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2288706.699 rounded to the nearest ten thousand?\nAnswer: -2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k - 46. Determine n(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165578.7l to millilitres.\nAnswer: 165578700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 3, w: 1, i: 6}. What is prob of picking 1 n, 2 i, and 1 m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 441726?\nAnswer: -1325178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - v = 0, 0*q + 5*v = 5*q - 30. Let c(m) = 19*m**2 - 6*m**2 - 5*m**2 - 6*m**q. Let f(g) = -37 + 37 + 10*g - 4 + 4. Give f(c(x)).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + -5 + -1 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (81 + -76)*((-2 - -2) + (-4)\/4). Put p, 80, -6\/11 in increasing order.\nAnswer: p, -6\/11, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide (-7)\/2*(-47)\/((-7238)\/(-57200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 - 2*z**2 - 11*z + 9. Let o be n(8). Let q = -638 + o. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**3 - 93837*j**2 + 851736*j wrt j.\nAnswer: 6*j - 187674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (48 - (32 - 15) - (1 + 10))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -409 divided by -4?\nAnswer: 409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m - 3. Let j be t(-2). Let d(a) = -4*a + 7. Let s(h) = -8*h + 15. Let l(n) = j*d(n) + 6*s(n). What are the prime factors of l(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565*s + 592*s + 270 = 0. Let p(g) = -9*g - 87. Give p(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -10*k**3 - 3*k**2 - 5*k + 4. Let f(a) = -a**3 - a. Give 5*f(i) - x(i).\nAnswer: 5*i**3 + 3*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1042 or 1018?\nAnswer: 1042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0222 + -0.1978. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a factor of 18771942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9956*o**4 + 2*o**3 + 83424*o**2.\nAnswer: 238944*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2234\/13 - 172. Sort 0.3, s, -6 in increasing order.\nAnswer: -6, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 3*y = 0. Suppose -10*f + f + 1098 = y. Let a = 128 - f. What is the third smallest value in a, 1\/3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + 5)) + 86 + 19 + 28?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let o be x(2). Let s be 2359140\/350 + 4\/(-10). Suppose s = -o*k + 37540. Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 = 5. Let x = i - -12. Solve -4 = 4*k + 8, -x = -4*c + 3*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30033 a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 414204311?\nAnswer: -414204311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3*sqrt(363) - sqrt(363)) - (-3 + sqrt(6)\/(sqrt(2)*-2)))**2.\nAnswer: 1323*sqrt(3) + 583479\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/(-3) + (5 - 9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - -6*(sqrt(112) + -2) - ((sqrt(112) - (sqrt(112)*4 - sqrt(112))) + -3))*2)**2.\nAnswer: -2592*sqrt(7) + 36612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 5*m - m - m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.15, -2\/11, 0.18 in decreasing order.\nAnswer: 4, 0.18, -0.15, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from yyvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5371*d**4 + 2*d**2 + 3*d + 82843?\nAnswer: -21484*d**3 + 4*d + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(-1))\/j)\/j*j)**47*(j\/(j**7*j))\/((j\/j**(-3\/11))\/j))**(2\/3) assuming j is positive.\nAnswer: j**(874\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**3\/3 + 5*z**2\/2 + 2*z - 18. Let r be i(-2). Is 259 + 1 + (r - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 4*h - 5*y = 0, 0 = -2*h + 4*y + 26. Solve -10 = -h*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from {w: 9, q: 3}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -29*n - 124. Let w be u(-12). What is the highest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -1.3. Sort -1\/4, 0.3, v in descending order.\nAnswer: 0.3, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 294*n - 878. Give x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-11))\/p)**(-1\/42))**7 assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 66471426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 682 - 6071\/9. Find the common denominator of -71\/645 and q.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -25, -41, -73, -127, -209, -325, -481?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.79411 rounded to 2 decimal places?\nAnswer: 38.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 + -53.54. Let l = t + 69. Let o = -0.9 - 0.1. Put -5, o, l in descending order.\nAnswer: l, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79*t**3 - t**2 - 21?\nAnswer: 237*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844000?\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = 15*k + 84 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7595 and -74\/24955?\nAnswer: 174685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1638)\/105)\/((-5)\/150) is divided by 117.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.9, 4\/7, -1\/3, 0.1, 9 in descending order.\nAnswer: 9, 4\/7, 0.1, -1\/3, -6.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 290 and 14964.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4131)\/5049 - 422\/22\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 + 5 - 2 + 2*a**2 + 15 as q*a**2 + j*a + d and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 - -98. Let v be (13\/(39\/18))\/g. Find the second derivative of -11*d - 143*d**v + 72*d**2 + 55*d**2 wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*p + 5791*p + 249250 = 0 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3319686, -6639373, -9959058, -13278741?\nAnswer: -16598422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times 5.959\nAnswer: 1.37057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**3 + 3*y**2 + 20*y + 5. Let r(o) = 3*o**3 - o**2 - 10*o - 3. Let a(d) = -2*m(d) - 5*r(d). What is the remainder when 37 is divided by a(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c**2 - 17*c - 4. Let b be k(-7). What is the units digit of (-4)\/16 + b\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/692 and 109\/2076.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0*q**2 + 0*q**3 - 9*q + 0 - 1\/12*q**4. Suppose a(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180977933.\nAnswer: 149, 1214617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80089 (base 10) to base 14.\nAnswer: -21289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m + 32. Suppose s + 2*t - 5*t + m = 0, -5*s - 4*t + 36 = 0. Sort s, 1, -1 in descending order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*n + 338*n - 7 - 8 + 15.\nAnswer: 152*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 15.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 20, -q + 44*w - 12 = 48*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.514019 millilitres in litres?\nAnswer: 0.005514019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 22*t**2 + 7*t - 11. Is b(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddcdcccbddd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + 2. Let n = -46.6 + 41. Let v = n - -6. Which is the third biggest value? (a) t (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - z + 11 - 40 = 0, 0 = g - z - 11. Let d be (-3)\/g - 814\/15. Let r = d + 55. Are 0.2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**2*x**2 + 10897*a**2 - k*x**2 + 10*k*x - 2*k - 38903*x**2 wrt x.\nAnswer: 18*a**2 - 2*k - 77806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055697553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917, 434, 2695, 5872, 9971?\nAnswer: 14998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6507 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-6)\/225*(-25)\/(-20).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -1\/2*k**2 + 5699999\/12*k**4 + 1\/3*k**3 - 2*k + 0. Let b be z(1). What is b rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13)\/(-3) - 4 - 2108\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -1180, -3680, -8554, -16594, -28592, -45340, -67630?\nAnswer: -96254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*-2348*(-42)\/280 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -284 + 3694\/13. Let f = 2.02 - 3.02. Which is the second smallest value? (a) j (b) f (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*l + 28*l + 27*l + 27*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 - (-2 + -6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/10 - (-1624)\/(-20). Let p be (-6)\/27 + (-26748)\/b. What is the highest common divisor of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -5\/4, -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/19, -4, -0.2, -3\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.172 - 3.828. Suppose 12 = -4*x + 4. What is the closest to -1 in b, -3\/4, x?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171759976, 171759977, 171759978, 171759979, 171759980, 171759981?\nAnswer: 171759982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2 = 18. Let z(w) = -5*w**2 + 56*w - 61. Let k be z(10). Which is the nearest to 2? (a) j (b) 6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j - 48. Let k be 1\/(-6) - (-26)\/j. Solve k*y + 3 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1377) + -4*sqrt(1377).\nAnswer: -27*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - 2*u**2 - 13*u**4 - 5*u**4)*(4 - 2 - 4).\nAnswer: 36*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 12. Let t(d) = 6*d + 12. Let x(p) = -5*i(p) - 6*t(p). Let s be x(-6). Let b = 2 - s. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 67. Suppose i + u = 2*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 191, 311, 481, 707, 995, 1351, 1781?\nAnswer: 2291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314 - -8535. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.54452 to 2 dps.\nAnswer: 191.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**2 + 3*j - 4. Let c(n) = 2*n**2 - n. Let f(b) = 2*c(b) + r(b). Let z(i) = -i**3 + 4*i**2 + 3*i + 5. Let s be z(5). Is f(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115024496?\nAnswer: 2, 659, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000068032 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = b - 22, 3*b - 5*c = 79. Suppose v + l = 2*v - 13, v + 2*l = b. Let y(f) = f**2 + f - 3. Calculate the remainder when y(7) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 13453?\nAnswer: -69\/13453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 1591*c**5\/5 - c**2\/2 - 1606*c + 2093. What is the second derivative of w(x) wrt x?\nAnswer: 19092*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -22. Let q = v + 10. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 407\/7 or 6306?\nAnswer: 407\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12*w + 28. Let n(j) = 31*j. Determine r(n(t)).\nAnswer: 372*t + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77.01 + -77. Put w, 0.5, 0.02 in decreasing order.\nAnswer: 0.5, 0.02, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -82594.\nAnswer: -4\/41297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3561 = 3*g, 6*s = 2*g + s - 2371. Suppose 42*h - 36*h = g. Calculate the greatest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 9*z. Suppose 5*k + 5*u = -45, 4*u = -3*k - z*u - 26. Let c be (-6)\/15 + (-44)\/k. Solve -c*n = -2*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*c + 5328, -3*c = 2*a + 2*c - 3552. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 451*t**2 + 588*t + 265120. What is l(-451)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(5\/4)))\/o**1)**(-5\/12))**(-13) assuming o is positive.\nAnswer: o**(-195\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 54. Suppose -97*u + 408 = -1435. Determine w(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6345 divided by -45\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 0.009?\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -571252 - -0.065?\nAnswer: -571251.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15032?\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 4*v - a, 0 = -3*v + 2*a + 8. Suppose v*o + 0*o + 3*g - 1286 = 0, o = 2*g + 636. Is (-2)\/6 - o\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12762422 (base 8) to base 11\nAnswer: 1695333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = 0. Let w be (-60)\/45 - (-2 + 0). Which is smaller: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(153))*-5.\nAnswer: -15*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -336.2293278 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 91\/((-2457)\/162) + 199\/33. What is the nearest to -1 in -2\/11, x, -0.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.88 + 1306992690\nAnswer: 1306992705.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o - 4. Let f be y(-4). Let m = 7 + f. What are the prime factors of (-13)\/39 - (-85)\/m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -378?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 20*y + 81. Give z(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 6*c**2 - 5*c + 7. Calculate the remainder when 8\/(-36) + 476\/36 is divided by m(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7148)\/5361 + (-1132)\/(-30) - 37?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 2254?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -102\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -48 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181.23 - -181.73. Let v be (-2)\/4*(-4)\/(-18). Which is the second smallest value? (a) v (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.25945 and -31494?\nAnswer: 31515.25945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178337707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 9 + 516\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (14 - 8) + 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*3)\/((sqrt(9) + sqrt(144))*-2)*-5.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 15*h**2 + 15*h - 12. Let x be z(-16). What is the third derivative of -21*w**4 - 15*w**x + 27*w - 62*w**2 - 26*w wrt w?\nAnswer: -864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 25 + 149)*(-16 - 2*s - 13 + 3).\nAnswer: -200*s - 2600","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4609 - 40 - 3147 = -146*d + 2424 for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 74, -1\/5, -0.28, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8142)\/(-21) + (24\/(-14) - -2). Let m = x + 404. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51977 * 0.2.\nAnswer: 10395.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 613 - 614. What is the fourth biggest value in -4, y, -1\/2, 3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:53 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -3348, -7536, -13430, -21042?\nAnswer: -30384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**3 - 23*h**3 - 6*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Give b(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:50 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, w: 1, q: 2, k: 2, f: 6}. What is prob of sequence qf?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7697?\nAnswer: 43, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28148 + 7*l - 28148 - 5*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1089807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2344.169*3\nAnswer: 7032.507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 30*t. Let s be g(3). Suppose -5*f + 35 = -s. Solve -x - 11 = -2*b, 0 = -5*x - 2*b - f + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 84775550, 84775555, 84775562, 84775571, 84775582, 84775595?\n\"Answer: c**2 + 2*c + 84775547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1552 = 1998. What is the remainder when f is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -242.33 + 241. Let n = z + 1.329999864. What is n rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*i**3*j**3 - i**3 + 7*i*j**4 + 55*i wrt j?\nAnswer: -267*i**3*j**2 + 28*i*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - 231\/(-84). Let o(v) be the second derivative of v**2 + 3*v + 0 + 0*v**j - 1\/6*v**4. Find k such that o(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, s: 7, y: 1, o: 4, i: 1, j: 2}. Give prob of sequence sii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*l + 36*l**3 - 22*l**3 - 15*l**3 + 112*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-2 + 2 - 2)*(-155 - 48*r**2 + 155).\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -8, 1\/6 in increasing order.\nAnswer: -8, 0.11, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 - 8*j - 2. Calculate l(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -1\/2, 0, -2\/13 in increasing order.\nAnswer: -55, -1\/2, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w - 5. Let m be c(2). Let o(v) = 99*v**2 - 13*v + 23. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348 + 54. Is 8\/3*n*3\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532 and 7714?\nAnswer: 15428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3736.492ng to grams.\nAnswer: 0.000003736492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 689\/35 - 97\/5. Let w be ((-177)\/3717)\/((-12)\/648). Factor -12\/7*p - x*p**2 - w.\nAnswer: -2*(p + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 836045\/105 + ((-4)\/(-6) - -1).\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -772, -3071, -6902, -12265, -19160?\nAnswer: -27587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s - 25 = 0. Sort -4, 2, s, 3 in increasing order.\nAnswer: s, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - -28)*3\/(-3 + 39)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 520, 26, -5, -1 in descending order.\nAnswer: 520, 80, 26, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 926 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177193492?\nAnswer: 2, 7, 113, 56003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -796, -794, -792, -790?\nAnswer: -788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x + 2. Let y be (-3 - (-3 - 4))\/(-1). Is a(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6378 + 6387. Let a(m) = m**2 + 10*m + 6. Let f be a(-9). Let d be (-2)\/(-4*f\/(-30)). Solve -d*n + v*n = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(4)\/sqrt(2) + -3) + (-5*sqrt(18) - (sqrt(72) + -1)))**2.\nAnswer: 448*sqrt(2) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 7 = 3*n - 2*j, 3*j = -5*n - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189*-3.116129.\nAnswer: -588.948381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 4. Solve 0 = z*s - 6*s + 2*p, 0 = -3*s + 2*p - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 0.16. Let m = -154 + 464\/3. What is the closest to j in -1\/2, 4\/5, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -7. Suppose g = 6*g - 4*f - 6, f + c = 4*g. Suppose -g*w + 6 = -0*w. Solve 3*s = -w*j + 9, 0*j = 3*j - 15 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 60*v + 387. Calculate d(-8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 18. Suppose o + m = 230, 0 = -2*o - 21*m + 22*m + 472. Calculate the greatest common factor of j and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 3 - 8 - -6) + (-26 - (-70 + 35)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 1. Let b(z) = 7*z - 2. Let h(p) = 17*a(p) + 6*b(p). Let m(t) = 2*t + 1. Let k(y) = -2*h(y) + 9*m(y). Determine k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 218 + -118. Let i = h + -25. Let n = -73.98 + i. Round n to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 11*m - 6. Let r be j(-7). Let i = 39 - r. What is the highest common divisor of 68 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 5*j**2 + 4*j + 1. Let o be r(-4). Let u = 0 + o. Is (u + -2 - 1) + 17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i**3 - 3*i**2 + 3*i. Let s(a) = -a**3 + a**2 - a. Calculate n(z) + 3*s(z).\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159 bigger than 35798\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 510, 509, 508, 507, 506?\n\"Answer: -f + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136.53 + -136. Let o = -0.43 + d. What is the nearest to 27 in -4, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**2 + 2*a**2 + 873*a - 446*a - 463*a.\nAnswer: -6*a**2 - 36*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*q + 10, 2*q - 622442 + 622446 = n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g + g**2 - 5 - 1\/6*g**4 + 0*g**3. Let m(j) be the first derivative of p(j). Differentiate m(d) with respect to d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 12*y**2 - 6*y**2 as x*y**2 + l*y + v and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p + 1. Suppose 4*f - 1 + 5 = 0. Let r(g) = -g**2 + g - 1. Let i(h) = f*r(h) + n(h). Factor i(m).\nAnswer: (m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51\/3 + (-11 - -7). Solve -j + r + 4*r = -q, j - 3*r - 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2632313 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -285.\nAnswer: -4\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 581549026933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*z + 17*z - 12*z)*(146*z**3 - 31*z**3 + 31*z**3) in the form p*z**2 + n + b*z**4 + c*z**3 + y*z and give b.\nAnswer: 2482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 182\/(-65) + (1 - (-2)\/(-10)). Is -17 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*8*(-8)\/(-1344)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8158322638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 9 + 30 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8833669?\nAnswer: 13, 53, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2638394.4 and -0.5.\nAnswer: 1319197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211127 + 2981672 = 22*u - 7*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*c, -c - 10 - 4 = 4*f. Let h be f - -112 - (4 + -3). Suppose d - 5*p = 27, 0 = -4*d + 2*p + 3*p + h. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 29. Put 3, 2, w in increasing order.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 2:17 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, o: 2}. Give prob of sequence mmo.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 - (-8 + 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 838 and 220453917.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.51 - -0.46. Let i = -5483 + 5484. What is the nearest to i in b, -6\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40545 = -82*q + 29*q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f + 26. Suppose 0 = 4*t + 4*v - 44, 3*t - 2*v + v - 25 = 0. What is the remainder when g(-9) is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*v**3 - 17*v**3 + 11*v**3 + 1 - 2*v as p*v**2 + n*v + q + o*v**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-591)\/(-13))\/3 + (-16)\/104. Suppose -37 - y = -13*n. What is the remainder when 15 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 91. Suppose -3*b - 2*b + 6 = -3*d, -4*b = -x*d. Let u(k) = k**3 + 4*k**2 - 2*k - 1. Let q be u(-4). Do q and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11*v**2. Let t(a) = -77*a + 30*a + 122*a. Give t(q(f)).\nAnswer: -825*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 564\/11 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*y + 1084 = -0*l, -4*y = -2*l + 548. Calculate the greatest common factor of l and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 j when four letters picked without replacement from {i: 3, j: 8}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r - 22*r - 570. Let l be 44\/(-330) - 32\/r. Suppose -f = -6*f - 15. Sort l, 35, f in decreasing order.\nAnswer: 35, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 429 - 311. What is the remainder when s is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l**1)\/(l**(4\/15)*l)**(9\/5) assuming l is positive.\nAnswer: l**(-257\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(3) + -4))**2*3.\nAnswer: 384*sqrt(3) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -37029990, -74059980, -111089970, -148119960, -185149950, -222179940?\n\"Answer: -37029990*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -44, -135, -302, -569, -960, -1499?\n\"Answer: -4*k**3 - 2*k**2 - 5*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 - 6*j**4 - 9*j**3 + 24*j**2 - 12*j.\nAnswer: 3*j*(j - 2)*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 13*m + 48. Let q = m + -26. Is 19 a factor of q\/7 - 1620\/(-84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 401*s + 4383. Let m(p) = -10*p. Determine j(m(d)).\nAnswer: -4010*d + 4383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*w**6 + 2*w**5 - 316*w**3 - 81102*w**2 wrt w?\nAnswer: -2280*w**3 + 120*w**2 - 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14489 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -8. Suppose 5*o = 3*h - 46, -h - 5*o - 60 = -6*h. Suppose 0 = -0*c + h*c - 7. Are w and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12999*f**3*t**4 + 85*f**3*t**2 - 13369407*f**3 wrt t?\nAnswer: 51996*f**3*t**3 + 170*f**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 625970989 and -16886?\nAnswer: 625987875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvhhvvvhhvvhhhvhhv. What is prob of sequence vv?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -670981*d**2 - 639435*d wrt d?\nAnswer: -1341962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10004730 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*v**3 + 12917 - 693*v**3 - 12917.\nAnswer: -1039*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261 - -439. Suppose s - v = d, -3*v + 528 = 5*s - 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43200554, 43200560, 43200570, 43200584?\nAnswer: 43200602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 113945239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -81*f - 5. Suppose -3*n = 9 - 0. Let s be o(n). Suppose -2*k = 3*w - 7*w - s, 0 = 2*k - w - 238. What are the prime factors of k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 30. Which is the fourth biggest value? (a) -5 (b) -13 (c) n (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = 3*g, -5*a - 8 = -9*a + 2*g. Put 5, a, 4 in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*f + 34, -d + 3*f = -2 + 5. What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkhkhkhtkkhhhujhhj. What is prob of sequence ut?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*o + 4*o = 31238, 2*o - 24986 = -4*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 12:35 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 427435940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01353529 * -5.\nAnswer: 0.06767645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3.1\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 + 4943*f\/2 - 824152\/3.\nAnswer: -(f - 14717)*(f - 112)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4244.32 - -396?\nAnswer: 4640.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 104*h - 48. Let g(u) = 25*u - 12. Give 9*g(l) - 2*r(l).\nAnswer: 17*l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 39296*m.\nAnswer: 2*m*(m + 19648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -0*x + 9*x. Calculate the least common multiple of x and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*n - 20, 0*d = 2*d - 2*n + 10. Let j be (5 - -20)\/(3 - (2 + d)). What is the greatest common divisor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whh when three letters picked without replacement from wfkkfkkhhhwwkfwh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 3*p - 2. Let t(x) = 2*x**2 - 158 + 80 + 81 + 2*x + 2*x. Give 4*i(r) + 3*t(r).\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125422 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 25 = 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and -106143?\nAnswer: -64747.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167510711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 6*k - 3*p, -p = 0. Solve -w + 2 = -k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 825?\nAnswer: 2\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n - 26 = 0. Let h = -28 - n. Suppose -9 = 3*c - v + 3, 0 = 5*v. Put h, -1, c, -5 in decreasing order.\nAnswer: -1, h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 4)*1671\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**3\/5 + 210*y**2 - 8*y\/5 - 840 = 0.\nAnswer: -525, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 4. Let c be j(-4). Let n be c + (-1)\/(1 - 0). Solve 0 = 2*f - h + n, h = 4*f + 4*h + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 16*n**2 - 15*n + 20. What are the prime factors of d(11)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279810149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppspppkkps. What is prob of picking 1 p, 1 k, and 1 s?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 47702?\nAnswer: 47675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2976b6 (base 14) in base 12?\nAnswer: -596554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 1:57 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3 - 13 - 1 - 4 - 13*y + 16*y. Let i(r) = -3*r. Determine x(i(o)).\nAnswer: -9*o - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 21. Let t be a(9). Let r(c) = -2*c - 3. Let q(n) = n + 2. Let b(m) = t*q(m) - 4*r(m). Let d(f) = -8*f**2. Calculate b(d(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8313 times -22.84\nAnswer: 189868.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -2*x, 5*x + 5*a + 11 = 26. Is 0 - (-83 + x + 0) 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 nnbacancattaan. What is prob of picking 2 c and 1 t?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1541, 3528, 5505, 7478, 9453, 11436, 13433, 15450?\nAnswer: 17493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -55 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 836 + -832. Let o = -21 - -7. Let n be o\/(-30)*4\/(-14). Sort n, 2, s in ascending order.\nAnswer: n, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2363979544 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -336, -327, -320, -315, -312, -311?\n\"Answer: -p**2 + 12*p - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*l + 1946 = 52, -3*l - 12 = 0. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*k*r - 3*i*r*v + k - 7*r*v + 3*v wrt i?\nAnswer: -3*k*r - 3*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9150 and 4148700.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 170217646?\nAnswer: 170217653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/357*-14*3\/1. Which is the nearest to -1\/6? (a) -0.07 (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6120389061?\nAnswer: 3, 680043229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 217 + -138. Calculate the remainder when p is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -43a0aa?\nAnswer: -43a0b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 3*o + 60*o. Let c(u) = -u**2 - 2*u. Determine c(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 20.5. Which is the nearest to 1? (a) 5 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -569.371 + 569. Round a to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*j + 56470 = -40585 + 30149 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + ((sqrt(7) - (-4 + sqrt(847)))**2 + sqrt(7) - (sqrt(84)*-4)\/sqrt(12))*-6).\nAnswer: -8598 + 900*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(10)*-2)\/sqrt(2) + 2)**2.\nAnswer: 8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = w + 450. Suppose 0 = 2*m + 69 - w. Let i(c) = -3*c. Let y(r) = -r**2 + 3*r. Determine m*y(u) + 4*i(u).\nAnswer: -3*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjji when four letters picked without replacement from {x: 6, f: 3, j: 6, i: 2, a: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 109*g**2 - 55*g - 50. What is l(36)?\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 40. Let a = 299 + w. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556057 is divided by 339?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*l - 101, l + 15 = 2*l - 2*v. Suppose 4*a - 16 = 0, d + a - l = -0*d. Calculate the remainder when 27 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k + 643866. Suppose -5*v - 994693 = -k. Let z = -79552 - v. Round z to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14de2 (base 15) to base 6.\nAnswer: -1235222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 25 = -24*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -90*1*(-14)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4 - (6 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 4*q + 2*q + (-q + 2*q - 3*q)*(-2 + 2 + 1) - 3*q + 0*q + q - 2*q - 1 + 1 - 391*q + 79*q + 95*q.\nAnswer: -225*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 + s - 1. Let h be v(1). Let d(r) = -3*r**2 - h*r**2 + 6*r**2. Let f(k) = -k + k - k**2. Determine f(d(n)).\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 897 divide 156762411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 279288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286832 is divided by 5215?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/707 + (-86)\/172*(-2)\/(-7).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:15 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -6)*(-3)\/6*2. Calculate the lowest common multiple of 28 and 6732\/170 - q\/(-5)*-2.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -37*m + 32. Is p(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**3 - 7*f**2 + 3*f + 1. Let m(o) = 3*o**3 - 3*o**2 + o. Give 3*b(n) - 7*m(n).\nAnswer: -3*n**3 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*2 + 4 + 3. Let s = 493.8 - 494.3. Which is the third biggest value? (a) t (b) 0.01 (c) 2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*p - 29 + 55 - 21)*(-p + 2*p - 2*p) to the form i + q*p**2 + s*p and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 251106820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344576 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5223727044.\nAnswer: 2, 3, 31, 37, 42169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 9435576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 1311 = 339. Solve -k - 10 = -13*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 6*l - 1. What is v(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 9 - 23. Suppose 2*v - o = 36. Let u = v + -23. What is the smallest common multiple of u and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8 + -12 - -7) - (2 - 23).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and -50.5.\nAnswer: 6.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 2*m**2 - 6*m - 5. Let s be g(5). Suppose 0 = 7*x - 3*x - s. What is the remainder when 1*-29*(-1 - 0) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 2*f - 7 = -13*m, 5*f = 8*m - 45. Let r = -3 - 0. Which is the biggest value? (a) -2\/17 (b) m (c) r (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 18. What is the remainder when ((-2)\/6 - 3)*(-198)\/6 is divided by i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.3 (b) 0.05 (c) -26979\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2800 is divided by 480.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 174, 430, 820, 1362, 2074?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(3 - 4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 - 36 = -2*j, 5 = a - 3*j. Let y = 375 - a. What is the highest common divisor of y and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/(l*l\/(l**(4\/15)*l*l)))\/(l**4)**(-38))**35 assuming l is positive.\nAnswer: l**(15883\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 776*o - 1952*o = 3791 + 3294 + 2323 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 7. Let g be j(32). Sort -1, 5, g in descending order.\nAnswer: g, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481274.6l in millilitres?\nAnswer: 481274600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 18*c**2 + 18*c - 23. Let f(o) = -2*o + 11. Let m = 509 + -512. Let j be f(m). Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -1. Let j = 13 - 13. What is the nearest to 1 in 2\/11, b, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m - 3*m**3 - 9*m - 5*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101100100101 (base 2) to base 15\nAnswer: -ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 16 + 11*p - 31 in the form z + i*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 658, 865, 1072, 1279, 1486?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 512?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emaps. What is prob of sequence sa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 11*i - 9. Let h be y(2). Let f = 27 - h. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, z: 1, q: 4, l: 9, g: 1}. What is prob of sequence gl?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:41 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11102201 (base 3) to base 7\nAnswer: -12265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 19*a**2 + 71*a + 2. Determine u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 + -27 - -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -258.31 - 2085.49. Let o = m + 2114. What is o rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-32))\/(105\/(-28))*(-20)\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10127 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 + 8*r**2 - r**2 - r**2 to the form j*r + z + c*r**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -178 (base 13) to base 2\nAnswer: -100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160*l*n*s**3 - l*n*s**2 + 133*l*n*s - l*n + 2*l*s + 2*n*s wrt s.\nAnswer: -960*l*n*s - 2*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 104, 155, 206, 257?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330 (base 4) to base 13.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**2 - 896*s + 192709. Let a(p) = 20*p**2 - 2685*p + 578129. Let y(u) = 6*a(u) - 17*r(u). Find f such that y(f) = 0.\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 8) in base 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410600*c**3 - c**2 + 142*c + 3034 wrt c.\nAnswer: -2463600*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 9. Let w = 4 - -3. Is h(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1814dc (base 15) to base 13\nAnswer: -31c041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-21)*n*n*n)\/(n\/n**44*n) assuming n is positive.\nAnswer: n**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 265420430*d**3 + 3522400233069245*d**2.\nAnswer: 5*d**2*(d - 26542043)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 99, 4, -2, 3, -11.\nAnswer: -11, -2, -1, 3, 4, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - -1) + -40 + 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-11))\/(36\/(-4))*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.4 - 24. Let x(p) = 3*p**3 + 2*p**2 - p. Let d be x(1). Let j be d\/6*((-2)\/8 - 0). Put -3\/7, j, v, -0.2 in ascending order.\nAnswer: -3\/7, -0.2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -333 > -24380\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/165429 and 73\/30971985.\nAnswer: 278747865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1824997\/2 - -912500. Factor -r*z - 3\/2*z**5 + 3\/2*z**4 - 3*z**2 + 3\/2 + 3*z**3.\nAnswer: -3*(z - 1)**3*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 16*f**2 - 5*f**3 + 7*f**4 - 2*f - f**2 + 28*f**2 - 45*f**2 to p*f**2 + d*f + s*f**4 + b*f**3 + m and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11\/(c*c**(-3)\/c))\/(c\/(c\/(c\/((c**2*c)\/c))))**(-48) assuming c is positive.\nAnswer: c**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-384)\/352 + 4\/44)\/((3\/(-23))\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = o - 4*c, -2*o - 2*c = -115 + 131 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 - 225. Let s = 153 + b. Calculate the remainder when 253 is divided by s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003515982391 rounded to 7 dps?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1)*t)\/t*t*t**(-1\/2))\/((t*t**(-1\/2))\/t)**7*(t**(4\/9)*(t\/t**6)\/t)\/(t**0\/t)**(-10\/3) assuming t is positive.\nAnswer: t**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9816*l**2 + 11*l. Let a be y(-6). Suppose a = 120*r - 105*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2319*k - 2 + 2 - 2395*k to b*k + i and give b.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33570 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015037876 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-21)\/6*(-18732)\/49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 32*v - 57. Let p be k(-30). Suppose -2*m - 140 = -p*l, -l = -4*m - 9 - 51. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3*c - 4*z, 3*c = -2*c + 5*z + 140. Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5\/3 + 65*k**4\/3 - 1555*k**3\/3 + 16435*k**2\/3 - 72200*k\/3 + 109744\/3 = 0. Calculate k.\nAnswer: 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**2 - 2*t - 3. Let x be v(-2). Let z be ((-1)\/3)\/((-1)\/x). What is the units digit of (8\/2)\/1 + z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-94)\/(-611) - (269\/(-26) + 0). Suppose 52 = 4*b - 4*m, -b - m - m + 7 = 0. Which is smaller: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -32. Solve -2*l + 10 = -j*q, 4*l - 14 = q + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 28 = 4*i - 18*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1.4. Let s = 1.8 - r. Suppose -4*z + 11 = -3*g - 2*z, 3*z = 5*g + 19. What is the nearest to g in 4\/5, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.43023 centimeters to kilometers.\nAnswer: 0.0002043023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 10:43 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 204518947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (21 - 21 + l**2 - 4*l**3)*(2 + 0 - 7 + (2 - 3 + 0)*(5 - 1 - 3)) as v*l**3 + z + p*l + j*l**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 4*v = 3*u - 10, 5*v + 2*u - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x + 4*r - 13236 = 0, 4*x - 2*r - 13248 = 0. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19249 = 18*u + 15*u - 32066. Does 27 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*w + 2087 - 2100 = 0, 8*q - 21 = -3*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 - 8*z - 5. Let o be w(-7). Suppose 4*v = 3*x + 9, -4*v - o*x + 10 + 24 = 0. Suppose -2*u = 2 - v. Solve u*t = 7*t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/145 + 263\/1305. What is the fourth biggest value in 5, 0.4, 1\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + b - b)*(20*b + 57 - 57).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -42. Find the second derivative of -21*f - 5*f**2 - 8*f**3 + t*f**2 + 3*f**2 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from {b: 2, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 112343953 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: What is the tens digit of 10353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-y - 2 + 2) - y - 1 + 1 - 24 + 5*y + 24 to the form n*y + x and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 262639.7km in nanometers?\nAnswer: 262639700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 3*g**2 - 1\/24*g**4 + 5\/3*g**3 + 0*g + 0. Let a be d(8). Solve -3*q = -12, -6*v + a*v = 3*q - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-125)\/(-20) + -5)\/(133\/(-3192))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883770.8 rounded to the nearest 1000?\nAnswer: 884000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/5 - (42\/154 + 45\/(-44))*-12?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 26\/(-1) + -1. Let a(i) = -9*i - 13. Let z(r) = -2*r - 3. Let d(o) = n*z(o) + 6*a(o). Let v(b) = 9*b**2. Determine v(d(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 12*r**2 + 31*r + 1. Determine s(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 4992?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.54086 tonnes in kilograms?\nAnswer: 6540.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 - 0. Let q = k + -0.58. Let r = q - 0.4. Which is the smallest value? (a) 0.1 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -23 (c) -1.87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1237c8 (base 14) to base 11\nAnswer: 39716a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -1. Let m be (-783)\/(-6)*n\/9. What are the prime factors of m\/21 + 1\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415 bigger than 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkx when three letters picked without replacement from xxqkxxqxkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39497 and 1?\nAnswer: 39497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238854 and 11584419?\nAnswer: 23168838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 4*k - k)*(-8*k + 8*k - 2*k**2).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17605243603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 1113*i.\nAnswer: 3*i*(i + 371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 248056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 24 - 47)*(0*a + 2*a - a).\nAnswer: -68*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2. Let j(p) be the third derivative of p**6\/120 + 3*p**5\/20 - 5*p**4\/12 - 4*p**3\/3 - 51*p**2. Let o(g) = j(g) - 4*r(g). What is o(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -7, 0, 2 in ascending order.\nAnswer: -7, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171068019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(1\/3))\/l)\/l**(-3\/7))\/(l**(2\/5)*l**(-1\/6))*(l**3*(l\/(l*l*l**(1\/4)))\/l)**29 assuming l is positive.\nAnswer: l**(9077\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -9*n + 8*n - 4*q - 4, -4*q = 3*q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772464 is divided by 85770?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 15, 0 = -4*l + z + 29. Suppose -l = 2*r - 4. Let u(v) = 3*v + 3. Give u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98570 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:05 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/2 + 3. Let z(t) = 2*t**2 + 2*t - 7. Let i be z(-3). Let j(u) = -u**3 + 5*u**2 - u - 2. Let r be j(i). Which is bigger: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.276 and 22.\nAnswer: 28.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -2*sqrt(1700) + -2 - (-3 + (sqrt(17) - (sqrt(17)*1 + sqrt(17))*5)))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -351 + 352. Solve -2*p - s - 11 = 0, -2*p + s - w + 0 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1677210.\nAnswer: 3354420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147\/5 - 369\/10. Suppose -25*n = -12*n. Sort -1, n, r, 0.5 in decreasing order.\nAnswer: 0.5, n, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -851 divided by 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37460429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5)*(-22)\/1100*-25?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srg when three letters picked without replacement from {e: 1, d: 2, l: 3, r: 1, s: 1, g: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -64 - 21. Let t = -10 + v. Let l(p) = 3*p + 4. Does 13 divide l(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/(-40))\/((-1)\/5). What is the derivative of -2 + k*y**3 + y**3 - y**3 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.063235 or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000369217 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10520000 rounded to the nearest 100000?\nAnswer: -10500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 21. Suppose -c + 5 = 0, -2*t - 2*c = -3*t + v. What is the greatest common divisor of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 154650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*x = -183 + 398 + 435. Let w = 103.2 + -94. Let l = w - 10. Which is the nearest to x? (a) -2\/3 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45182235900 rounded to the nearest 1000000?\nAnswer: 45182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**5 + 17*u**4 + 12*u**3 - 23*u. Let m = 61 - 55. Let n(x) = x**5 - 3*x**4 - 2*x**3 + 4*x. Let v(j) = m*q(j) + 34*n(j). Factor v(k).\nAnswer: -2*k*(k - 1)**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*d - 532*b**2 - 768*b*d wrt b.\nAnswer: -4*d - 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 - 19*w + 7. Let r(j) = -2*j**2 + 9*j - 3. Determine 6*p(k) + 13*r(k).\nAnswer: -2*k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*f - 3. Suppose 0 = 5*r - 3*c - 11, -2*c = -10 + 4. Let q(w) = -w + 1. Let n(u) = 6*u - 4. Calculate f*n(m) + r*q(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1107, -1882, -2659, -3438?\nAnswer: -4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 220 = -15*q, 5*q - 144*i + 66 = -146*i. Which is bigger: -90 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240759705 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 24*f**2 + 74*f - 117. Calculate n(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((8 + -790704)\/(-8))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**7\/840 + m**6\/180 + m**3\/3 + 1. Let c(d) be the third derivative of k(d). What is the third derivative of c(x) wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 5, -62, -5, 2, -4, 7 in increasing order.\nAnswer: -62, -5, -4, 2, 5, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.032 + -0.232. Which is the third smallest value? (a) -3 (b) f (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**5 + 142*q**3 + 6*q**2 + 11*q - 132.\nAnswer: -180*q**3 + 852*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m. Let g = -251 + 254. Let i(a) = 6*a. Let x(s) = g*q(s) + i(s). Let t(p) = 2*p**2 - 20. Determine t(x(b)).\nAnswer: 18*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/15)*y\/(y*(y**(-5)*y*y*y*y*y*y)\/y)*y**(5\/3)\/(y**6\/y*y) assuming y is positive.\nAnswer: y**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1438*p - 1432*p = -20, -k = -2*p - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18515181?\nAnswer: 3, 6171727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 65. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 31*h**2 + 23*h + 7. Let o(i) = -121*i**2 - 85*i - 29. Let v(b) = 15*d(b) + 4*o(b). What is v(2)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/5)*m*m**(4\/5))\/(m**(-1\/4))**28)\/(((m*m**(-2\/17)\/m)\/(m*m\/m**4))\/(m\/(m\/(m*m**(1\/2)*m*m)))**(-8)) assuming m is positive.\nAnswer: m**(-1758\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(6\/18)\/(-2 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3384*u**3 + 4501.\nAnswer: 10152*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**5\/4 + a**3\/3 - 37. Let f(r) be the third derivative of y(r). Let l(k) = k - 112 + 60 + 52. Give f(l(h)).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-7\/3)*g)*g*(g**(-1\/18)\/g)\/g*g*g)\/(g**(2\/19)\/g**4) assuming g is positive.\nAnswer: g**(2795\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {p: 1, t: 1, s: 2, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.272321321 to 4 dps.\nAnswer: -6.2723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -346.524 - 1.876. Let t = o - -348.404202. Round t to four decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/256, -114, -1?\nAnswer: 1\/256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70, -109, -172, -271, -418, -625, -904?\n\"Answer: -2*i**3 - 25*i - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67401 is divided by 8341?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*j, 0*j - j + h = 0. Suppose 9 + 1 = 3*c + r, j = -5*c - 3*r + 14. What is the first derivative of -c*i**2 - i**2 + 6 - 4*i**2 + 3*i**2 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (739\/3 - -4) + 2\/(-6). Suppose 0 = -c + 6*c - d. Suppose 0 = p - c + 46. Solve 3*b + 2*i - 12 = 0, -7 = p*b - 4*i - i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from xzkkxxxnkkxxkzxz?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12769, -25027, -37285?\n\"Answer: -12258*c - 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 20939*l + 3078358. Give d(146).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129854303?\nAnswer: 19, 2053, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 + 3232100?\nAnswer: 3231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 + v - 1. Let d be i(2). Let p be d\/(6\/16*-2). Factor -m**3 - m**4 + 7 - 7 - 2*m**3 + p*m.\nAnswer: -m*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -8 - -22)*(-45)\/120*-8\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.3 (c) -0.8 (d) -1.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:42 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -46, 11, 29, 5, 2, 1 in decreasing order.\nAnswer: 29, 11, 5, 2, 1, -18, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 213022121211?\nAnswer: 213022121303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -263 + 406. Let k(z) = -z**3 - 8*z**2 - 17*z - 19. Let u be k(-6). What is the greatest common divisor of v and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 8*v - 5. Let s be t(7). Let x = 406\/17 - 24. Let h be 1*20\/(-105)*(-18)\/12. What is the third smallest value in x, s, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -91 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3 = -7 + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {p: 1, r: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) 2\/5 (c) -5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2215949 to the power of 1\/2, to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3)*o*o)\/o)\/(o**5*o))\/(o**(2\/5))**26 assuming o is positive.\nAnswer: o**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6381658904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22601 is divided by 293.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 1.5. Let x be (-2)\/(-2)*(0 - 0). Is x at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 1398740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 246633 = -20*c + 410499. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 55289.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*i - 0 + 7, -i = 3*f - 13. Let y be (-10)\/i*-6*(-7)\/(-70). Let n = 4.2 - 4.3. Put y, n, 8 in decreasing order.\nAnswer: 8, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5 - 8)*(-2*s + 0*s + s) + (-5 + 5 + 3)*(135 - 11*s - 135).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 21 = -32*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 9, 21, 53, 111, 201, 329, 501?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 561 + 18?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.23743 centuries to decades.\nAnswer: 152.3743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26135, 26140, 26145, 26150, 26155, 26160?\n\"Answer: 5*k + 26130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let b(d) = -15*d + 47*d - 10*d - 21*d. Let k(j) = 3. Calculate o*b(w) - k(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 17 = -8. Suppose -8 - 2 = -a*g. Find h such that 1\/2*h + 1\/2 - 1\/2*h**3 - 1\/2*h**g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 260?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 4*h + 6. Let m(n) = -3*n**2 - 11*n + 17. Let t(b) = -4*m(b) + 11*w(b). Let c be 128\/48*9\/4. What are the prime factors of t(c)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 + -253. Let w be 4\/(-6) + (-22)\/(-6). What is the second derivative of -3*i + i - w*i - 5*i**j + i**3 wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79 - -84. Suppose 5 = 5*r + a*m, -5*m = r + 2 + 9. Suppose 2024 = r*u - 0*k - 4*k, 2*k + 2034 = 4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/4 - 24925*d - 124251125.\nAnswer: -5*(d + 9970)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + y = 17, 5*y + 30 + 0 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 6*n)*(-n - n + 3*n + (3 + 0 - 2)*(4*n - 3*n + 0*n) + 5*n - 6*n + 0*n + (-1 + 1 + 2)*(-4*n + 2*n - n)).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-4))\/(4 - 2). Suppose -6*p + 0*p - 24 = t. Let w be (56\/(-1330))\/(p\/(-10)). Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 13. Let l be (26\/(-4))\/((-4)\/80). Let m = -91 + l. What is the remainder when m is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*c = 5*y + 11, 3 = -2*y - c. Let x be (y + -1)\/(84\/8). Let d = 121\/15 - 23\/3. What is the closest to -1\/2 in d, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1903, 1695, 1487?\n\"Answer: -208*u + 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 25*o = 66936. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3300 by -170966.\nAnswer: 1650\/85483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90854 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*n - 10 = 0, 2*n = -4*g + 2*g + 8. Suppose 2*l - 4 = -3*d, 4 = g*d - d. What is the remainder when 30 is divided by 16 + -2 + (1 - l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 29*v**4\/12 + 21*v**2 - v - 39. Let l(k) be the first derivative of p(k). Find the first derivative of l(s) wrt s.\nAnswer: 58*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252468310 minus -5126?\nAnswer: -252463184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 466603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, 4, 81, 188?\n\"Answer: 15*g**2 + 2*g - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27722733 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -13 (c) 4 (d) 0 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 6825*k + 48166. Determine l(-7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 63. Suppose q - 6 = -q. Solve q*n = -0*n - 3*s + 15, 2*s - 2 = a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2. Let q(f) = 4*f**2 - 9*f. What is p(q(h))?\nAnswer: -48*h**4 + 216*h**3 - 243*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -274, -591, -1114, -1921, -3090?\nAnswer: -4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30480172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Sort 5, w, -1 in increasing order.\nAnswer: w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24219?\nAnswer: -24219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 7 + 53 - (-10 + 17).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -4*x**3 - 150*x - 98 + 4*x**2 + 61*x - 4*x**2 - 63*x. Differentiate p(v) with respect to v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 110 - 106. Suppose 4*w + 4 + 0 = y, 5*w + j*y = 16. Solve 0*m + m + 11 = 3*s, w = 2*m + 4*s - 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 34*u**2 + 2.\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002362843 to five decimal places.\nAnswer: -0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose -12*b - 120 = -16*b. Suppose b = -u + 7*u. Solve 4*q = -2*n + z, -q - u - 7 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, -49, -269, -691, -1381?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 168. Suppose -2*q + k = 3*s, 0*s + 9 = s - 2*q. Find the common denominator of -51\/10 and ((-2)\/s)\/((-24)\/(-64)).\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*h + 100*h - 66*h.\nAnswer: 154*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -11214446355?\nAnswer: 11214446362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vllvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111682823.\nAnswer: 7, 15954689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -113 (b) -1\/17 (c) -0.03619 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-195))\/(2 + -3)*-6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8044047 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 21\/(-9). Suppose 2*k = 16 - 0. Suppose 2*p - 5 = -5*b - p, -b - 2*p = -k. Is b greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 3\/8*p**4 + 0 + 0*p**6 + 0*p**3 + 0*p**5 + 17*p**2 - 29\/336*p**8 + 0*p + 0*p**7. Find the second derivative of j(a) wrt a.\nAnswer: -580*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of 54*g**6\/5 + g**5\/10 + g**4\/12 + 193*g**2\/2 + 884*g. Find the third derivative of u(k) wrt k.\nAnswer: 7776*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/22247406 and 61\/99.\nAnswer: 244721466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435\/203 + (-1)\/2*4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17010)\/(-189))\/(((-162)\/72)\/(3\/2))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21120 - -44404?\nAnswer: 23234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071394735 to 7 decimal places.\nAnswer: -0.0000714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 7:59 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -60*j. Let a(v) = 1247147*v. Give a(n) + 20614*w(n).\nAnswer: 10307*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 + -144.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 854263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-10 - -1 - (-167 - -153)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7870208.\nAnswer: 2, 71, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -14, -1992, 4, 1 in decreasing order.\nAnswer: 4, 1, -8, -14, -1992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 121. Let f(z) = 2*z + 7. Let d be f(6). Calculate the greatest common factor of d and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/2 - 2) + 21. Suppose 5*c + 3*v + 1319 = c, -5*v + 1311 = -4*c. Let u be (-1)\/(-6) + (c\/6)\/(-7). What is the greatest common factor of u and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -14. Suppose -o*r - 3*r + 126 = 0. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177 - -111. Let v = y + 71. Suppose 0 = -5*c, v*r + 5*c - 16 = 19. Solve 13 = -3*q + r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 9. Is 2*(-1)\/(-5)*2670\/g a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49.36965km?\nAnswer: 49369.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*m - 21. What is the remainder when m is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.8 and 1947874.\nAnswer: -19089165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 17*g**2 - 10*g - 2. Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((24\/4)\/(27\/9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 21*s - 6036. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 824 + 53bc?\nAnswer: 5be0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519 (base 14) to base 4.\nAnswer: 33223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279990.\nAnswer: 2, 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-m**4 - m**4 + 0*m**4) - 80*m**3 + 80*m**3 + 3*m**4 + (-m**2 + m**4 + m**2)*(1 + 0 + 1).\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 3:58 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1452, -8754 in ascending order.\nAnswer: -8754, -1452, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13895 + -13893. Factor 2\/5*g**h + 0*g - 2\/5.\nAnswer: 2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 167 - 35 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 + 1382 = 3*h. Let c = -336 + h. Solve -b - 19 = 6*p - p, 3*p = 4*b + c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*s**3 + 35*s**3 - 105*s**3 + 28*s**3 + 23*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-586)\/879)\/(4\/(-78)). Let l(a) = 2*a + 44. Determine l(n).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*o**3 - 95*o**3 - o - 34*o**3.\nAnswer: 198*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 906 - 1144. Let f = 1009 + j. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42373 rounded to 2 decimal places?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1184 and 808080.\nAnswer: 1616160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 19*u**3 - u**2 - 3*u - 3. Calculate o(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/5560632 and 37\/981288?\nAnswer: 16681896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 10*w - 894. Calculate the highest common divisor of 48 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 165*b**4 - 156*b**4 - 2*b**3 + 4 + b**3 - 2*b to r*b**3 + d*b**2 + i*b + m + x*b**4 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 818 and 21033643.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260 and 3525405.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 37902630896313.\nAnswer: 37902630896312.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from ssodupddddpdps.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 14*i + 11. Let q be g(-4). Let h = 40 + q. Which is the third biggest value? (a) -1 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1960*-0.0832\nAnswer: -163.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -43*r + 5. Let t(z) = -11*z + 1. Let a(j) = 2*b(j) - 9*t(j). Suppose 0 = -l, 0 = -41*x + 40*x + 2*l - 1. Calculate a(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27.96134 kilograms?\nAnswer: 27961340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 566*m + 5142 - 10284 + 5142 as q*m + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -880*s + 8. Let d be j(5). Let a be ((1 - 3) + 3)\/((-4)\/d). Suppose -787 = -5*x + a. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 - 2*x**3 - 2*x + 3*x - 2*x**4 + x**4 + 46 as k + c*x**4 + m*x + t*x**3 + g*x**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + n**2 - n - 9. Let t = -28 + 22. Let v be t*(-1)\/(15\/(-10)). Is b(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z**16)**39 assuming z is positive.\nAnswer: z**(-702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 3*r. Let v(f) = 2*f**2. Determine v(c(o)).\nAnswer: 8*o**4 + 24*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 378 + -401. Which is the smallest value? (a) -0.1 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-715)\/44 - -16)\/(30\/(-16)). Sort q, -0.3, 160 in increasing order.\nAnswer: -0.3, q, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 956 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20351 + -39706. What is a rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30328603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1184471 (base 9) to base 14.\nAnswer: -12b750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1276335 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -407*f + 1 + 30*f - 295*f - 28*f**2 + 30*f**2 in the form w + c*f + r*f**2 and give c.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 26 = 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16850*j**3*l**2*v**2 + 11*j**3 + 8*j*l**2*v**3 + 243*j*l*v**2 - j*l + 14*l*v + v**3 + 1 wrt l.\nAnswer: -33700*j**3*v**2 + 16*j*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22524327 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: Calculate -96 divided by -32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61 - (-54 - -59)) + -74.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*x + 118 = -38 + 26 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 divided by -2742.\nAnswer: -56\/1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4588 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*p + 44 = p, z - 8 = 4*p. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 44 = -m + r, r + 96 = 7*m. Solve -2*z - 1 = 2*l + 5, -4*l - 3*z = m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 0*u - 13 - 8. Let b be p(-6). Suppose 0 = c + 2*c - b. Solve 0*n - 3*n - 12 = -c*s, 3*n - 4 = -s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -611.99 - -612. What is the biggest value in y, 3, -20, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*((-41)\/(17056\/(-24)))\/(12\/16)\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/840 - x**7\/210 + x**5\/30 - x**4\/12 + 3*x**3\/2 - 6*x**2. Let i(t) be the first derivative of p(t). Solve i(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.274472 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s + 190 = 92 - 262 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -14684*b**2 + 110*b - 358. Let h(y) = -2937*y**2 + 20*y - 71. Let i(x) = 2*f(x) - 11*h(x). Differentiate i(u) wrt u.\nAnswer: 5878*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3871*n + 3101. Let x(l) = 125*l - 100. Let s(p) = -2*h(p) - 63*x(p). What is the derivative of s(a) wrt a?\nAnswer: -133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2150 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.7, -3\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 26*d - 5*z = 16, -4*z = d + 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c. Let w(i) = 23877*i. Calculate w(a(f)).\nAnswer: -167139*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1888 + 1137. Let q = i - -1200. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -618*p**2 + 5 + 15*p - 7*p - 5*p. Let j be s(-2). Let n = 3950 + j. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15192, -61390, -138578, -246750, -385900, -556022, -757110?\nAnswer: -989158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31178196 rounded to the nearest 100000?\nAnswer: 31200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-3)\/(-60)*2). Suppose -8 = -h*i - 168. Suppose -2*q + 45 = -p + 11, 2*p = -5*q - 59. Is p less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 553713.202 + -553716.33335563. Let n = -22.13135427 - h. Let l = n - -19. What is l rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28248481843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 825.497cm?\nAnswer: 8254970000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 2, -28, 100, -25 in increasing order.\nAnswer: -28, -25, -3, 2, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 15*z**3 + 11*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.170546 to two decimal places.\nAnswer: -27.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 3:25 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81 from 12232420.\nAnswer: 12232501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7575 + 7579. Which is the third biggest value? (a) y (b) 2\/31 (c) -2 (d) -76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336431 is divided by 33642.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77997.\nAnswer: 3, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o + 14. Let m be q(2). Let z(t) be the second derivative of -3*t + m - 2*t**2 + 0*t**3 - 1\/6*t**4. Differentiate z(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 2:36 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 4*g - 1. Let w = 41 + -38. Give f(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37333555, -74667109, -112000663, -149334217, -186667771?\nAnswer: -224001325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s - 20. Is f(-5) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24084 (base 10) in base 7?\nAnswer: 130134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/109305360 and 119\/27326340.\nAnswer: 109305360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 5. Let m be s(-10). Let o = m - 17. Let y be (-2)\/(-4)*-1*o. Solve y = 4*p - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*n - 2*v, -3*v = 6 + 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -5. Let w = y - -58. Let g(h) = 3*h - 9. Calculate the remainder when w is divided by g(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 198*i = -0*i - 162 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.3991 litres in millilitres?\nAnswer: 189399.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i**2*s - 60926*i**2 - 5*i*s**2 + 6*i*s + 19*s**2 with respect to s.\nAnswer: -8*i**2 - 10*i*s + 6*i + 38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20088, 19669, 19250, 18831, 18412, 17993?\nAnswer: 17574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -120922723699.5.\nAnswer: -120922723699.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 633960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 239568 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.27. Let j = x - -0.27. What is the second smallest value in j, -2\/11, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 56 = -5*o, -43 = -5*o - 3*b + 31. Solve -o = -t - 13 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/2*(5 - (-2184)\/36). Let q = 636 - h. What is the remainder when q is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*p - 5, 5*m = -p - 1 - 25. Sort 1\/6, m, 0.05.\nAnswer: m, 0.05, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 1, k: 1}. Give prob of sequence kff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17252340 by 21.\nAnswer: 821540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/9 (b) -1 (c) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22589.13 litres in millilitres?\nAnswer: 22589130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -13*f**2. Let z(w) be the first derivative of -8*w**3\/3 - 11*w + 3. Let l(d) = 2*d**2 - 33 + d**2 + 37. Let b(c) = -11*l(c) - 4*z(c). Give b(v(g)).\nAnswer: -169*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 3*g**2 - 4*g**2)*(-2*g - 4*g + 2*g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001129845 rounded to five decimal places?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4671401 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 8, b: 7, i: 3}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*k**4 - 3691*k - 334356?\nAnswer: -48*k**3 - 3691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 44 + 9 = 2*q, 2*q - 5*d - 45 = 0. Let v = 5 + q. What is the units digit of v\/4 - (-5)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/3 - 592*a + 22750\/3 = 0.\nAnswer: 13, 875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168\/36)\/(((-120)\/105)\/(-1*(-2)\/7))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 932 - 928. Solve t + 5 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*s - 682*s = -1365*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 12*t - 330. Give z(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52003 is divided by 1471?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61725543 is divided by 5678.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**3\/6 - 7*x**2 - 412*x. Calculate w(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -226, -530, -960, -1522?\n\"Answer: -z**3 - 54*z**2 - 15*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 15\/2*s**2 + 0 + 9\/20*s**5 + 18*s - s**3 + 7\/8*s**4. Let k(p) be the first derivative of a(p). Factor k(y).\nAnswer: 3*(y + 1)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -4, -0.409, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - d + 3)*((-2*d - d + 5*d)*(-1 - 1 + 0) + (-7*d + 2*d + 4*d)*(-6 - 4 + 1)) - 2*d**2 + 4*d**2 + d**2 as q + a*d**2 + m*d and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-27) - (-30)\/18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11815 - 4534?\nAnswer: 6271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**3 + 3867. Let u(p) = -2*p**2 - 159*p. Determine u(j(c)).\nAnswer: -72*c**4 + 954*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 11707 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10857506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1140, -1130, -1120, -1110, -1100, -1090?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*w**2 + 15*w + 92*w**2 + 6*w**4 - 184*w**2 - 6*w**3 - w wrt w?\nAnswer: 72*w**2 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148834 and 14658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, -2 in descending order.\nAnswer: 13, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34 + 1)*-3*1089\/27. Suppose 0 = 7*c + 4*c - l. What are the prime factors of c?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (572\/(-1430))\/(-32*(-5)\/50).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1204, -1778, -2352, -2926, -3500?\n\"Answer: -574*p - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/4 - 6\/3. Let n be (2 - 172200032)*(-4)\/v. Suppose y + 3*i + 29465549 - 765537 = 0, 0 = 4*y + 5*i + n. What is y rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 140. Let l = t + 25. Solve -3*x + 20 = -l*b, 0 = -0*x - 5*x + 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 1263, 1906, 2567, 3252, 3967?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.111331 or 2095?\nAnswer: -0.111331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*z - 20, 3*z - 2*z - 2*r - 6 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**8\/3360 + i**7\/630 + i**6\/360 - i**4\/12 - 2*i**2. Let t(m) be the second derivative of k(m). Factor t(p).\nAnswer: 2*p*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 2. Suppose -643 = -0*a - 120*a + 317. Find the third derivative of -l**4 + 6*l**4 + k*l + a*l**2 - 4*l wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/5 + 44\/10. Suppose b + 6 = 2*f, -l*b + b = 5*f - 15. Solve 3 = s - b*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11023020 (base 4) to base 5.\nAnswer: -1134232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5805 + -2225. Suppose -2*l = t + 1358. Let q = l + -4231. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17 + 19*x**2 - 26 - 297*x**4 - 242 - 19*x**2 with respect to x.\nAnswer: -1188*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fffbfbffbff?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -904500 divided by 3\nAnswer: -301500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4385.187919 rounded to the nearest integer?\nAnswer: -4385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 - 6*u + 5. Let j be t(5). Put j, -4\/3, -4 in increasing order.\nAnswer: -4, -4\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 2*w + 20, -4*v - 7*w - 22*w - 50 = -24*w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 190937 - 84775907\/444. What is the common denominator of 43\/9 and w?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-23673)\/7284)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -47*x**2 + 4*x - 3. Let l be u(-11). Let n be 16\/(-88) + l\/44. Let t = 918\/7 + n. Calculate the common denominator of t and 63\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2075*w**2 - 4*w**3 - 1039*w**2 - 1036*w**2.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/6 of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 7. Let j = -1.1 - k. Sort 1\/8, j, -0.4 in decreasing order.\nAnswer: j, 1\/8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7674*-0.6.\nAnswer: -4604.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 3. Let l(g) = 5*g**2 + 9*g - 4. Let s(o) = 6*o**2 + 10*o - 5. Let m(x) = 5*l(x) - 4*s(x). Let p be m(q). Solve -z + p*z = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1900 - -1904. Solve -5*l + 5*f - 10 = 0, 0 + 2 = -a*l + f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-0.08.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493 divided by -756746.\nAnswer: -493\/756746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33804, -36447, -39090, -41733, -44376, -47019?\n\"Answer: -2643*s - 31161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (4\/28*21)\/((-1)\/(-1)) + 125 and 1336?\nAnswer: 21376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + (sqrt(1300)*1 + -4 - (-1 + sqrt(1300)*1))))**2 + 3.\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -5\/4*y**4 - 231\/2*y**2 + 0*y**3 - 1\/20*y**5 + 0 - 228*y. What is the first derivative of p(j) wrt j?\nAnswer: -3*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*j - 26, 3*k - 5 = j + 14. Let f be j\/14 - (-144)\/14. Solve -5*x - f = -m + 12, 4*x + 20 = 2*m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7004*j + 5623. Is c(-36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2555*t + 30429. Calculate w(12).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = -0. Suppose 4*v - 4*r - 4 = -2*r, 2*v + 3*r + 6 = 0. Let m(q) = 0 + v + q. Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748176417.\nAnswer: 3, 83130713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -144*i - 1245. Calculate the smallest common multiple of s(-10) and 351.\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -846*z - 8. Let b(g) = 3383*g + 34. What is 4*b(l) + 17*p(l)?\nAnswer: -850*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2) + (-21)\/(-98) + 2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1484?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 567515 equal to 567518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3. Let i(a) = -6*a. Let d(l) = -5*l. Let v(p) = -5*d(p) + 4*i(p). Give -j(h) - v(h).\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 1324?\nAnswer: -1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*z - 267*z = -558*z + 16740 + 13290 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from kiiwikikik?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -53130, -51773, -49512, -46347, -42278, -37305, -31428?\n\"Answer: 452*x**2 + x - 53583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -6*n + 95. Suppose -2*r - u = -n, -r + 7*u - 4*u + 46 = 0. Sort 1, r, 4.\nAnswer: 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 410 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kii when three letters picked without replacement from {u: 1, i: 6, k: 1, l: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, 1 s, and 1 i when four letters picked without replacement from iyccyysvivvicyzsccc.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -354 + 746. Let h = w + -3129\/8. Let i = -59\/40 + h. What is the second biggest value in 2\/9, 3, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 3*u**4 - 21*u**3 + 21*u**3 + (0 - 3 + 0)*(3*u**4 + 3*u**4 - 7*u**4).\nAnswer: 6*u**4 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*m = 264, -2*g + 2*m - 38 = -142. Suppose 4*z - 5*r = -9*r + g, r - 48 = -3*z. Calculate the greatest common factor of 51 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5481 greater than 5481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -92152 and -6.1.\nAnswer: -92158.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11849\/2 - (-80)\/160. What is the highest common factor of 75 and b?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*a - 195*a - 9690 = -317*a for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 614 - 609. Let r = 905\/14 + -358\/7. Let l = r + -14. Sort l, -2\/21, g in descending order.\nAnswer: g, -2\/21, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7458 - 37287\/5. Sort r, -1\/5, 4, -3\/4, 16.\nAnswer: -3\/4, -1\/5, r, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-1 + -3 + -3) - (-95 + 77)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:12 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 + 0.2. Let f = q + 13.79. Round f to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 68 = -7*v. Suppose 4*h - v = -2*i, h + 3*i - 11 = -0*h. Suppose 0 = 4*r + h*u - 40, 5*r + 2*u - 4*u = 50. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/7, 4, 25, 2 in ascending order.\nAnswer: -3\/7, 0, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 - 3*c**2)*((4 - 3 + 1)*(3 - 3 + 1) + 6 - 7 + 5).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -18. Let d be (-344)\/h + 6\/(-15). Suppose 4*i + d = 106. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/48*(-360)\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-56)*21\/(-3))\/(2\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15055974 is divided by 800.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknhnkny. What is prob of sequence nn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5760000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**3 + 8*h**2 - 39*h + 35. Let u(c) = c**3 - 4*c**2 + 18*c - 16. Give -6*j(k) - 13*u(k).\nAnswer: -k**3 + 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 9:06 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, 5\/2, 0.4, 424596, 3\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901354 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 9 = -w, 9 = 4*w - l. Let y(p) = p**2 + 8*p + 8. Let b be y(-6). Let o be (-4)\/(-6) - b\/(-6). Solve w*c - 2 - 1 = o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 3*j - 4*j)*((-3*j + j + 3*j)*(-3 + 3 - 1) + 4*j + 4*j - 3*j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 6*h - 30. Suppose -t = -6*t + 10. Let x(w) = -28*w + 4*w**2 + 11*w - h*w**t + 13*w + 1. Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from avaalavylalv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2 - 3340*t + 10029 = 0.\nAnswer: -3343, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 + c - c)*(2907 - 6068 + 2984)*(6*c**2 - 4*c**2 - 3*c**2).\nAnswer: 354*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/9 + 550*a**3\/9 + 46358*a**2\/9 + 107914*a - 2146904 = 0.\nAnswer: -129, -79, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -f - 20, 2*f - 3*o - 8 = -7*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j**5 - 10\/3*j**3 + 10*j - 15\/2*j**2 + 2 - 5\/6*j**6 + 5*j**4. Factor l(o).\nAnswer: -5*(o - 1)**3*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3539 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -51. Let v = 159 + -181.5. Let w = v - o. Which is the biggest value? (a) w (b) -2\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.267704 rounded to 3 dps?\nAnswer: -0.268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/50925798 and 107\/396.\nAnswer: 101851596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6655531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -n. Calculate the remainder when 35 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 3*w - 6, -4*n - 8 = -5*w. Let b(f) = -f - 1. Let d be b(n). Put 3, -5, d in decreasing order.\nAnswer: 3, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(-70))\/(-2) + 9\/(252\/(-41))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 661222, 661035, 660724, 660289, 659730?\nAnswer: 659047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -1\/12*r**4 + 0 + r**3 + 3*r - 2*r**2. Give a(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172658636*n**3*u**4 + 6*n**3*u + 10972829*n*u wrt u.\nAnswer: 2071903632*n**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -508.\nAnswer: -508, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, 1 in increasing order.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422360 divided by -105590.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9504*a**2 - 3349*a + 10. Is n(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*z, 10*h + 4*z + 133 = 13*h + 119 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 + 178. Solve 2*z - z = l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*u + 5280 + 4726 = -1124 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 30*d**4 + 14596*d**3 + 241080*d**2 - 58352*d - 964800 = 0. What is d?\nAnswer: -67, -18, -2, 2, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 + 94 = 4*d, 2*d - 4*p = 58. Suppose -d*t + 75 = -10*t. Let b = 5 + -2. Solve 40 = -5*o + t*c, -o + 6 = -b*c + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 754 divide 527046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**4 + 3*h**4 + (-18*h**2 + 89*h - 89*h)*(-2*h**2 - 2*h**2 + 2*h**2).\nAnswer: 37*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 78. Suppose 21 = c + 5*r - 31, 3*c - 210 = 3*r. Calculate the remainder when c is divided by w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/22 + -1\/11. Let k = -125 + 120. Let v = 1 - 0. Sort v, n, k.\nAnswer: k, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3436*y + 85990. Determine i(25).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 + (-47062)\/(-10) + (-60)\/(-75).\nAnswer: 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-29)\/9 - 16\/(-72). Let b(y) = 5 - 2 - 17*y - 2. What is the remainder when b(a) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10925428*k**2*p**2 - 33*k*p**2 - 12*k + 85*p**2 + 10*p wrt k.\nAnswer: 21850856*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 20*f**3 - 2*f**2 - f. Let l be v(-1). Let z = -52 + 23. Let w = l - z. Calculate the highest common divisor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -77407?\nAnswer: 77403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -691?\nAnswer: 13\/691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4063*o - 2969*o - 4590*o + 2042*o - 5389*o.\nAnswer: -14969*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/1497 and 18\/13.\nAnswer: 19461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:45 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.722317 rounded to three decimal places?\nAnswer: -2.722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/70926 and -26\/17.\nAnswer: 1205742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831 a factor of 579780307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86360 by -21590.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 29 = -3*r - 9, -4*r + 2*y + 18 = 0. Solve 18*d - r = -23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34419226 a multiple of 964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -39.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*x - 336*x + 9 = -3*p, -x - 7*x + 2*p = 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705\/10 - 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 71.7. Let a = -7 + 91.5. Let q = t - a. Round q to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5324 - 5322. Suppose r - 1 - 1 = 0. Calculate the lowest common multiple of r and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7043 (base 9) to base 2.\nAnswer: -1010000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.88489 to one decimal place.\nAnswer: -44.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -33013 (base 7) in base 2?\nAnswer: -10000000110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:05 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 4 - -3) + (-72 - (40 - 51)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14263*o**3 + 246*o**4 + 2*o + 63 + 14263*o**3 - 167 - 49*o**4 wrt o.\nAnswer: 2364*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1098500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32644?\nAnswer: 2, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 16. Let v = -34 - -32. Let d = -7 - v. Let h be r(d). Solve -35 = -5*k + 5*q, 3*k + q - h*q = 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 193 = -5*f, 3*b - 5*f + f = 541. Suppose -143 + b = 4*r. Solve -3*p - 1 = -r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*z + 15 = u, 3*z + 18 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = 9. Let o = -378 - -377. Sort -2, v, o.\nAnswer: v, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56*p + 352*p + 227*p - 3 + 2*p + 3 + (-3*p + 3*p + p)*(2 - 1 + 1))*(2*p + p - 1 - 2*p)*(p**2 - 2*p**2 + 3*p**2).\nAnswer: 1054*p**4 - 1054*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70831, 70832, 70833?\nAnswer: 70834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 12:02 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from sshhxxshxssxhh?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**12*x)\/x**(4\/3))\/(x**(-2\/9)\/(x*x\/(x*x**9\/x))) assuming x is positive.\nAnswer: x**(44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 1920?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-123 + 123 + 20*g)*(2 - 2 - 2*g + (-2*g + g + 2*g)*(2 - 5 + 4) + g + g + 0*g) in the form p*g**2 + y + h*g and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -501 + 991. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -20. Which is bigger: x or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 904017 by -301339.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*(-67)\/(9849\/2548).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-12)*(-3)\/(-2). Suppose 5*l = 3*l. Suppose 4 = 2*o - l. Solve x*g - 12 = -2*a, 4*a = 2*g - o - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5 - t + 2*t - 3*t. Let n be -2 + (3 - 5)*1. What is the units digit of x(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let h(r) = -8330*r**2. Calculate f(h(m)).\nAnswer: 16660*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.89726 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 50 = -z + 26, 5*z - 296 = 4*n. Let f(o) = 4*o + 17. What is the least common multiple of f(15) and z?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(588)*1*-5)\/(2*sqrt(300)))\/(2*sqrt(567)*-2*-5).\nAnswer: -sqrt(7)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 2*l - 12, 0 = -2*z - 2*l. Suppose -z = 4*t, -i + 2*t - 183 = -6*i. What are the prime factors of i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(121) - (sqrt(121) - (sqrt(121) - (1*sqrt(121)*5 + sqrt(121) + sqrt(121) + sqrt(121) + sqrt(121)))))\/(1*sqrt(99)))*4.\nAnswer: -32*sqrt(11)\/3 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6182 - -6491. Put -0.5, v, 4 in increasing order.\nAnswer: -0.5, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let m(q) be the third derivative of q**7\/252 - q**6\/360 - 17*q**4\/12 + 18*q**2 + 6. Let v(a) be the second derivative of m(a). Determine v(b(c)).\nAnswer: 10*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -843 or -821?\nAnswer: -843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - 66 - (7 + -1) - (4 + 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 471 - 2*f - 242 - 248. Let z(a) be the third derivative of 0*a**3 - 3*a**2 + 0 - 1\/12*a**4 + 0*a. What is n(z(s))?\nAnswer: 4*s - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/1920 and -83\/5468640?\nAnswer: 21874560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4020\/55783 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (3 - 4\/1). Suppose -5*t + 29683795 = 3*h - y*t, 0 = 5*h + 2*t - 49472960. Suppose 5*p = h + 4105410. What is p rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -2*p**6\/9 + 4*p**5\/3 + 22*p**4 + 784*p**3\/9 + 464*p**2\/3 + 128*p - 1022. Find m such that w(m) = 0.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - 6. Solve 0*q - 20 = -4*x + 2*q, i = x - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (52\/(-16)*-4)\/(-1). Let n be v + 16 - (0 - -7). Let q be 11 - (-2 + (-2 - n)). What is the greatest common divisor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g + 0*g - 26 + 31. Let l(f) = 17*f - 9. Give -11*k(d) - 6*l(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -22.3 not equal to 113\/3268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184\/77 + 20\/11. Which is the second smallest value? (a) p (b) -2\/7 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 268443? (a) -2\/3 (b) -1 (c) 1\/4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y = 12*y + 4680. Let f = y + 223. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 2, v: 1, s: 1, g: 2}. What is prob of sequence rsv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -5*i - 9, 2*z = -i - 3*z - 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -14\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -183? (a) 19 (b) 12 (c) -5 (d) 2\/5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1003218\/7 or 0?\nAnswer: -1003218\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -36. Suppose y - 4*y = c. Let h(g) = -3*g - g**2 + 0*g + 1 - 3*g. Give h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-16) - (-2380)\/(-160). Let d = -10 - x. Which is the second biggest value? (a) d (b) -0.3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1665 times 27\nAnswer: -44955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o**2 - 101*o + 70. What is the remainder when d(-16) is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6606828km to millimeters.\nAnswer: 660682.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -20. Let p(c) be the first derivative of 3*c**2\/2 + 6. Let o be (-27 - -1) + (-2 - -1). Let i(q) = 39*q. Calculate g*i(h) + o*p(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 128*w + 124. What is q(37)?\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -193 - -36?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261290.\nAnswer: 2, 5, 17, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -211841 * 0.63\nAnswer: -133459.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*t**2 + 1395*t**2 - 3089*t**2.\nAnswer: -1735*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*v - 48. Find the common denominator of 32\/5 and ((-63)\/(-450))\/((-4)\/v).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-123760)\/(-126) - (-3)\/54*-4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -14. Suppose 0 = -2*o + s*o - 3*v - 8, 3*o + 5*v = 31. List the prime factors of (2 - 21)*(o + -8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -3 + 162\/18. Solve 2*b - q*j + 21 = 0, -6 + 0 = -3*b - 5*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*u + 996 = 5*l, 5*u = 0. Is 83 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 * 0.2\nAnswer: 0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 808321768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1800, 1781, 1744, 1683, 1592?\nAnswer: 1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -6*i + 235. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = -13550*i + 13636*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -88612 at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18910053 and 1?\nAnswer: 18910054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqnqxqn. What is prob of picking 1 x and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 199 + -103. Suppose -4*x + h = -2*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -10*t - 26 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*v**4 + 2*v**3 - 17*v**2 - 181*v + 4266175.\nAnswer: -28*v**3 + 6*v**2 - 34*v - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 + 18?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.8312675 and -0.3.\nAnswer: -7.14938025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -12, 1, 1\/6, 12\/47, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2841.\nAnswer: 5\/2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24573.866 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-1568))\/((-1)\/(-16)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13161 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {p: 2, f: 1, i: 1, n: 3, e: 3, y: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2225?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - ((0 - -1) + 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7194 and 2068.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/8 of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((8325\/(-210))\/(-37))\/((-12)\/14). What is the fifth biggest value in -5, -0.026, h, -4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 + 15*b**2 + 11*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.11158*997\nAnswer: 2105.24526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/9066 and 89\/3786?\nAnswer: 5720646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*o = 6, -5*x + 6*o - 8 = 7*o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-730)\/(-90))\/((1007\/(-342))\/53)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)*d)**(-11\/3)\/(d**(-25)*d\/(d\/(d*d*d**(-3\/16)*d))) assuming d is positive.\nAnswer: d**(2711\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 2}. What is prob of sequence yy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3247887 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 20. Let y be q(-14). Let n(k) = 9*k**2 + 2 - 4*k + 5*k + k**3 + 7*k. Let x be n(y). What is the highest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60502 or 60503?\nAnswer: 60502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812491023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**3 - 2232*o**2 + 2224*o**2 + 193*o**3 + 216*o**3 + 87*o**3.\nAnswer: 484*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 868*k - 23*k + 170*k.\nAnswer: 1015*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 3000.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2734 - 453 - 601 - 4978*j wrt j.\nAnswer: -4978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 + 4*w**2 + 0*w**2 + (-3*w + 11*w + 7*w)*(-5*w + 2*w + 7*w) + 18*w**2 + 4*w - 4*w in the form d*w**2 + q*w + v and give d.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 238*u\/3 - 156.\nAnswer: -2*(u - 117)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 a when four letters picked without replacement from {z: 3, a: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276109.\nAnswer: 29, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 28*s**2 + 46*s + 10. Let l be a(8). Suppose f + i = -l + 17568, 2*f - i = 30802. Round f to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*m + 4*f - 13 = -24*m, -f = -4. Which is smaller: m or -1\/2890?\nAnswer: -1\/2890","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6534 less than or equal to 6520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 - 3*o + 2. Calculate n(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 6 + 34)*(-2 + 2 + 2*q)*(-3*q**3 + 0*q + 0*q).\nAnswer: -102*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millisecond in microseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 3\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*h - 15, 4*t = 3*h + 9. Suppose -42\/11*r**5 + 4\/11*r**2 - 30\/11*r**3 + t + 0*r + 68\/11*r**4 = 0. What is r?\nAnswer: 0, 2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2155 divided by 1.\nAnswer: -2155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -118, -127, -136, -145?\n\"Answer: -9*w - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/3970 and -53\/198080.\nAnswer: 78637760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 158432.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 4*w**2 - w**2)*(-8388 - 142066*w**3 - 142063*w**3 + 284130*w**3 + 49192).\nAnswer: w**5 + 40804*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 69. What are the prime factors of 1874\/m - (-4)\/(-16)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -5. Let z be (-7 + -1)*g\/4. Suppose v + z*a + 2 = 0, a - 8 = 4*v - 0*a. Put 3, v, -4 in decreasing order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -41, -6, -9?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 4. Suppose -4 = -3*y + 2*y. Let s be d(y). Let x = -1635.3 + 1635. What is the fourth smallest value in -1\/4, x, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379 is divided by 77.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65179328 + 65169835.99984. Let v = -9496 - i. Let r = v - -4. Round r to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 0.2, -5\/7, 0.03, 22?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, z: 1, i: 2, r: 1, b: 2}. What is prob of sequence ibbi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 22, 46, 70, 94?\n\"Answer: 24*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1078 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -764\/32095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let m = 6 + -8. Let n be 1*(m\/2)\/(-1). Is n greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c - 12. Let u be w(-10). Find the third derivative of 4864 - u*o**2 - 4864 - 17*o**4 wrt o.\nAnswer: -408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217058 is divided by 245?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10432 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/40 + (5\/6 - 1) and -53\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190) - sqrt(190)*2) + (sqrt(190) + 2*sqrt(190)*-4 + sqrt(190) + sqrt(190) - sqrt(190)))\/(sqrt(490) + sqrt(490) + sqrt(490)*-3*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 84 + 65 - 186 - 9*y. Let v be j(-9). What is the highest common divisor of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7264737318 - 4417\nAnswer: 7264732901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404185 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjz when four letters picked without replacement from zdwiiwizwwziiijsw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7*44\/(-14) - 12. Solve 0*f = 2*f - o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-21))\/((-1)\/7). Calculate the common denominator of 5067\/(-1026) - (c + 12\/(-2)) and -47\/3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 4*b - 4*b + 7 + 3*b**3. Let g = 170 - 167. Suppose -g*u = -40*u + 259. Let i(f) = -2*f**3 - f - 4. Determine u*i(o) + 4*m(o).\nAnswer: -2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318510037.\nAnswer: 433, 673, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2811491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 t, and 1 e when three letters picked without replacement from {e: 6, b: 4, t: 3}.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -10*w + 52. Suppose 4*u - 14 = w. Is 16 a factor of u*(13\/2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482116341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/8)\/(15\/(-4))*153\/51.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*x - 34, 0 = 3*h - 0*x + 3*x + 12. Let s be ((-6)\/h)\/(2\/63). Let w = 35 - s. Solve -4*m - 6 = w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -2, 0, 8483, 53, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-105))\/((-8)\/10). Let f(i) be the third derivative of 0 + v*i**4 - i**2 + 0*i**3 + 1\/60*i**5 + 0*i. What is the second derivative of f(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1, -72, -2, -2\/29, -0.9, 3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49892393*f**2 + 138105937*f wrt f.\nAnswer: 99784786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 967 + -965. Let h = -5 + 10. Let s be 0\/(((-6)\/h)\/(x\/5)). Solve u = -s*u + 4*t + 24, -2*t - 26 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-2 + -5) - (1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 558*b**2 + 45588*b - 1142960.\nAnswer: 2*(b - 157)*(b - 70)*(b - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 730\/3, -11.\nAnswer: -11, -0.4, 730\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viiv when four letters picked without replacement from {v: 11, i: 5}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q + 10. Determine s(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2821 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 - -59. Suppose 0 = -2*u - 8, 2*u = k*l + 6*u - 172. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**7\/30 + g**5\/15 + 2*g**2 - g. Let w(b) be the first derivative of u(b). What is the third derivative of w(k) wrt k?\nAnswer: -168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25921 divided by 1127?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -4494530284274\nAnswer: 4494530284274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 y when three letters picked without replacement from cfpgzggzzgycgyzz?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 - -192.258. Round p to two decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 36 = -67*p + 72*p, 4*m - 96 = -4*p. Calculate the greatest common factor of m and 483.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -42, -0.5, 1, 2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6509296 to the nearest 10000.\nAnswer: 6510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a - 6*a + 5*a)*(-408 - 400 + 10) to m*a + i and give m.\nAnswer: -3990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 4*y**2 + 2*y - 4. Let r = 11 - 19. Let h = 5 + r. What is q(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 264, -5, -6, 1.\nAnswer: -6, -5, -5\/2, 1, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257 - -267. Solve 5*c + 22 = -w - 0, c + 3*w + h = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11915 and -11915 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 106, 166, 224, 280, 334, 386?\n\"Answer: -u**2 + 65*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - (-24)\/10. Let x be 18\/48 - 63\/(-24). Suppose 0 = n*m + m - x. Which is smaller: -2\/17 or m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31515378 - 75227209997\/2387. Let q be (-928)\/1302 + 4\/6. Let r = q + z. Calculate the common denominator of r and -33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 6*i**2 - 6*i - 5. Let a be h(7). Solve -3*g = a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1421 and 19?\nAnswer: -26999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:47 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7738, -15804, -23870, -31936, -40002?\nAnswer: -48068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (9 - 20) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*-6*sqrt(33))\/((sqrt(66)*5)\/sqrt(6)).\nAnswer: -18*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*p = -20, 2*w - 12 = p + 4*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {x: 9, z: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/72*8*(-21)\/(-14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46920793?\nAnswer: 46920793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z + 12. Let q be n(7). Sort q, 1, -3\/7, -2\/7 in descending order.\nAnswer: q, 1, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 6\/5, -4, 0, 1\/1143?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * -0.104\nAnswer: -0.00936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*b. Let a(y) be the first derivative of -1\/4*y**4 + 4*y - 1\/3*y**3 + 9 - 1\/2*y**2. What is a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15597153?\nAnswer: 3, 11, 13, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -31 + 39 + (2 - -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(24\/36) + 8. Suppose -3*n - 8*c + b*c + 579 = 0, 0 = -n + 3*c + 193. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*q**5 + 74076*q**4 - 10*q**3 - 20*q**2 + 2*q + 2780161 wrt q?\nAnswer: 1260*q**2 + 1777824*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -209, -278, -327, -356, -365?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2. Let l(f) = -2767357*f**2. Determine l(i(p)).\nAnswer: -99624852*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/4)\/((-6)\/48). Let g = 6 - o. Find the second derivative of -g*r**4 + 0*r - 6*r**4 - r wrt r.\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1313*s**3 - 16*s**2 - 43*s - 8. Let y be u(-19). Round y to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -10, -z + 2*v = -3*z + 10. Suppose z*l - 4*l + 56 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-249)\/166 + (-814)\/(-468) + 8\/(-36)?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90970 is divided by 1236?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -3353\/287149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -2. Suppose 0 = o - 2*o + r. Let s be (-9 + 1)*25\/o. Which is smaller: -11 or s?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 14, 56, 136, 266, 458, 724, 1076?\nAnswer: 1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19 and 0.41590658381.\nAnswer: 19.41590658381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -31.\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-816)\/(-36) - (0 + (-2)\/(-3)). Let d be 20\/(-15)*(2 + (-41)\/s). Which is the nearest to d? (a) -0.1 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 12) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.99 and -3?\nAnswer: 5.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:24 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4486 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + g + 4. Let t be n(0). Let z = -20 + 33. Solve -t*c = -3 - z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 2*v**3\/33 - 2*v**2\/11 + 2*v\/11 - 4. Factor o(f).\nAnswer: 2*(f - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90, 0, -0.2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113, 227, 341?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -21. Let j = -13 + w. What is the tens digit of 9\/(-18) + j\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -697 + 847. List the prime factors of 29867\/17 - (-1 - r\/(-170)).\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/12*22*(-6)\/(-9). Let h be (12 - -1) + (-55)\/k. Suppose -5*a + h + 19 = 3*b, 5*b - 20 = 0. Solve -a = -3*y - 3*l + 4, -5*y - l = 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 2*u + 3340. What is the highest common divisor of 20 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1251)\/(-695))\/((-1)\/(-945)). What is the highest common factor of 63 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 5*a. Let o be x(5). Let h = 0 + o. Let i(y) = h*y**3 + 2*y + y - 2*y**3. Let k(m) = -3*m**3 + 5*m. Calculate -5*i(r) + 3*k(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351445588.\nAnswer: 2, 13, 1399, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6*1.3489\nAnswer: 8.0934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 + 4 + 5 - 3 - 6*b**4 wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 3004 = -12964. Let f = 1977 + b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -45 (c) -149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-3)\/3))\/((-462)\/(-462))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5*j\/j**(-11)*j**(-5)*j\/(j*j**13*j*j*j) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279902 = 461*u + 313555 for u.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -41*l - 48. What are the prime factors of w(-8)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a - 4. Let d be i(3). Suppose -719*k - 34 = -736*k. Let c(n) = -838 - d*n**k + 838. Let j(y) = 7*y. What is c(j(s))?\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 803674*q**2\/7 + 80736085446*q\/7 + 80736889122\/7.\nAnswer: 2*(q - 200919)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-6))\/(12789\/5481). Suppose 2*c - 4 - 2 = 0. Let f be (-2)\/6 - 4\/(-48). Sort -2, c, f, g in descending order.\nAnswer: c, f, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8, -9, 6, 43, 108, 207, 346?\n\"Answer: v**3 + 2*v**2 - 14*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 115082\/(-1694) + 68 - (16\/(-42))\/(-4)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-8 + (-10 - -7)) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-2 - (-2 - 2)). Let n(z) = -14*z. Let j(y) = 9*y. Suppose -3*a + 1 - 16 = 3*s, 0 = -3*s - a - 15. Let v(t) = s*n(t) - 8*j(t). Determine v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/1256 (b) -1 (c) -28 (d) -2 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, y: 1, p: 2, s: 1, u: 1}. What is prob of picking 1 a and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 633368788.\nAnswer: 2, 13, 12180169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(363) + -3*sqrt(363)).\nAnswer: -sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9464 less than 9422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 410 and 6755.\nAnswer: 553910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c**2 + 0*c)*(3*c + 2*c - 4*c)*(-2 + c + 2).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 120 = -6*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42153733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 4. Let o be b(5). Let w = 432 - 412. Suppose j = 2*g - 12, -5*j + 3*j + 2*g - w = 0. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*d*j*l**2*w - 5*d*j*l + 17*d*j*w - d*l**2 - 6*d*l + 2*d*w + 66*j*l**2*w + 2*j*l**2 + 3*j*w + 2*l*w wrt l.\nAnswer: 28*d*j*w - 2*d + 132*j*w + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518, -529, -554, -599, -670, -773, -914?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 7*d - 16. Let h be v(9). Suppose -24*c**3 - 6*c**5 + 18*c**4 + 6*c + 7*c**3 - h*c + c**5 = 0. What is c?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157075 + 156740 - 313815 - 13*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofllolfoocfloo. What is prob of picking 2 f and 1 o?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2569942 take away 1?\nAnswer: 2569941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25597 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 55 = 79 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 976767.3 nanograms in kilograms?\nAnswer: 0.0000009767673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 141287357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -97. Let z be (((-3)\/q)\/3)\/((-3)\/21). Suppose 42 = -0*r + z*r. Is r bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(1\/7)))\/m)\/m**3)**41)**(-2\/11) assuming m is positive.\nAnswer: m**(2214\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.908444 + -21.92. Round x to four decimal places.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 32*j**2 + j - 65. What is c(-32)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-30 - (7 - (8 + 6)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -32, 1 in decreasing order.\nAnswer: 10, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a3 (base 14) in base 9?\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*o + 220*o - 81 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 20, s - 40 = -5*b + 4*s. Suppose -b*k + 6123 = -10102. What are the prime factors of k?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*r = -9*o, 0 = 2*o - 4*r + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 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 1 + 2 + (-6 - -5 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 432994039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = c + 4*p, -p = 221*c - 223*c + 9. What is the nearest to -13\/60 in c, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 22 + 25 = 0. Let o be (-1)\/s + ((-404)\/(-12) - -8). Let u = 74 + o. What are the prime factors of u?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 59 = 3*x, 1021*x = 1023*x - y - 39. Solve 36*a - 85 = x*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-7)\/w)\/w)**(-38) assuming w is positive.\nAnswer: w**342","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026614975 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t - 4. Let g be o(-2). Suppose 2*r - 8 = -l - 0, -g*r = -5*l - 20. Suppose -70 = a - r*a + 3*m, -3*a = 4*m - 40. Solve 2*f + a = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3141 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 + (-5302 + 5324 - (-1 - (-2 - 1))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 377601629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4532*j**2 - 117870.\nAnswer: 9064*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/12*(-9)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 48*a**3 + 7*a**2 - 1. Is y(3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l**2 - 1153*l + 207. Calculate t(-105).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1436604 divided by 12.\nAnswer: -119717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -16)*(-5)\/3. Suppose 10*t + 40 = y*t. Solve 0 = -5*b - t + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 7*h = 2*l - 1, -4 = -4*l + 4*h. Solve 0 = 2*p - 4*u - 0 + l, 3*p = 2*u + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, 4322, 16353, 39780, 78401, 136014, 216417, 323408?\nAnswer: 460785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6602080*n = 6601981*n + 5346 for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2079041734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123 divided by -3504.\nAnswer: -41\/1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 + 3*w - 7. Let g be f(-3). Suppose -4*u - 29 = -x, g*x + 0*u - 37 = u. Calculate the lowest common multiple of 68 and x.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 135. List the prime factors of z.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132113113 (base 4) in base 10?\nAnswer: -386519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20365*x - 20260*x + 452 + 505 = -618 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 0*s**2 - s**2 - s**2 + s**2 + s**2 + (2 - 2 + 2*s)*(0*s - 2*s + s) - 329*s**2 - 8136*s**2 - 15974*s**2 - 5791*s**2.\nAnswer: -30232*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32417001 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/9 + 2)\/(42\/(-63)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -20*g**2 + 192*g - 8. Let c(m) = -6*m**2 + m - 2. Let v(z) = 4*c(z) - f(z). Factor v(a).\nAnswer: -4*a*(a + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869450065.\nAnswer: 5, 7, 73, 731683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 10:01 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 180 and 15919061.11593?\nAnswer: 15918881.11593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g - 199. Let u be v(22). Solve -m + 0*m = 5*a - u, 3*m - 19 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by 54\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3)*(-d + 6*d - d) + 0 - d + 0 - 3 - 2*d + 3 + (-d - d + 0*d)*(0 + 0 + 2) to r + i*d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + 0 + 0)*((-n + 2*n - 3*n)*(-4*n + 4*n - 2*n)*(-2*n + 0*n + 0*n) + (4*n - 4*n - n)*(30*n**2 - 9*n**2 - 11*n**2) + n**3 + n - n).\nAnswer: -68*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 27 = -0*v. Let i(n) = 8*n**2 - 3*n - 11. Let p(r) = -8*r**2 + 3*r + 11. Let u(x) = 3*i(x) + 4*p(x). Let m be u(v). Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247680186.\nAnswer: 2, 3, 13, 103, 30829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, a: 3}. What is prob of sequence vvav?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*h - 5*h - 3553 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 - -197. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -416\/5 - -83. Is d equal to -0.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66) - 4*sqrt(66)))\/sqrt(6).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 67, 129, 217?\n\"Answer: 13*y**2 - 3*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23288665 to the power of 1\/2, to the nearest integer?\nAnswer: 4826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = 3. Let q = a + 39. Suppose 355 = -40*m + q*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7) + (-1460)\/16352)*((-800)\/15)\/8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/8, -408, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(418)*-2*4)\/(sqrt(176)*-1))\/(-4*sqrt(1568)*1*-6))**2.\nAnswer: 19\/112896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -4.9. Let x = -2 + 2. Let l = x + u. What is the nearest to -0.1 in 0, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.951 + 0.951. Which is the fifth smallest value? (a) 15 (b) g (c) -0.5 (d) 2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142986 or -1858809\/13?\nAnswer: -1858809\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185157?\nAnswer: 83, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.6641 hours in minutes?\nAnswer: 32139.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4073 divided by 3?\nAnswer: -4073\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 2*s - 34 = -3*r + 37, 0*r - r - 238 = 53*s for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 100 = -d - 0*d, o = 3*d - 270. Let q = d - 62. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -2. Let h = p - -4.4. What is the smallest value in h, 1\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 420*y**2 + 840*y**2 - 419*y**2)*(2 - 6 + 2) to q*y**2 + n*y + w and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -65. Let j be ((-4)\/(-10))\/(i\/(-20)). Sort 0.3, j, 0 in increasing order.\nAnswer: j, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*t + 485 = 1857 + 1628 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1657324b + -3?\nAnswer: 16573248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*5\/(-40)*(-4)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5232)\/27 - (-46)\/(-207). Is g bigger than -194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665013 is divided by 33300?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d*d*d*(d\/(d*d\/d**(-1\/2)*d))\/d*d))\/d)\/d)**(-38))**(-2\/7) assuming d is positive.\nAnswer: d**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-5)\/5 - 1). Solve -3*q - 4*d - c = 0, -5*q + d = 1 - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from ppppxxpxpcppxxx.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2258 by 234.\nAnswer: 1129\/117","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 42*x - 47, 1456*b - 9 = 1455*b - 4*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00517702 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdmmmmmddmdddddmmdm. Give prob of picking 1 m and 3 d.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaaa. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 353 + 1. Let c be ((8 - 4) + -15)*-21. Let o = x - c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246478 (base 12) in base 2?\nAnswer: 10010000011100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 2015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*d**3*t + 4956*d**3 + 59123*d**2 - t - 2 wrt d.\nAnswer: -540*t + 29736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p - 24. Which is the closest to -1\/4? (a) -0.1 (b) -0.8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 8, -10, -34, -64, -100, -142?\n\"Answer: -3*a**2 - 3*a + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2373148293900 and -10?\nAnswer: 2373148293910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + (4 - 16 - -19) - -5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0973792 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321*q - 2*q**2 + 321*q.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12735\/32 + -398. Is 0 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -154, -544, -1310, -2578, -4474, -7124, -10654?\nAnswer: -15190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = q + 59, -2*q = 5*t + 3*q - 125. Suppose 22*z = t*z + 24. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) -401 (c) 14\/3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34.56142 millilitres?\nAnswer: 0.03456142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iehnrteih. What is prob of sequence rt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/13 - 118\/13*o + 198\/13*o**2.\nAnswer: 2*(9*o + 2)*(11*o - 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 10, 21, 32, 43?\n\"Answer: 11*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/180 - 13*y**4\/24 + 7*y**3 - 5*y**2 - y - 414. Factor k(z).\nAnswer: -(z - 3)*(z + 42)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1941190 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 7:02 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4757452 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = -c, -5*a - 3*c = 2. Let o(w) = 0*w**2 + 3*w**2 + 2*w + 3 - 2*w**a. What is the units digit of o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773613.29 rounded to the nearest 1000?\nAnswer: 774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/12 and (-25)\/(125\/(-30)) + (-4406)\/760?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530094.\nAnswer: 2, 765047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 144. Let u = -47 - i. What is the smallest common multiple of 3*2*(96\/18 + -3) and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -196.\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -3 + -172 + 148.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose -24 = -4*a + 3*a - 3*z, 0 = b*a - 3*z - 84. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -435*c**4 + c**2 + 5 wrt c?\nAnswer: -10440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438 and 927?\nAnswer: 135342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14358 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = 48*j + 110 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(2*sqrt(24)\/sqrt(2)) + 2 + -3.\nAnswer: -1 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 + 5*l**2 + 4*l + 13. Let u be p(5). Calculate the least common multiple of 3\/(-2 + u\/(-44)) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221060.81 plus 621?\nAnswer: -220439.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 + -5477\/15. What is the biggest value in i, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1240 + 1541212?\nAnswer: 1535532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20193, 80188, 180011, 319662, 499141, 718448?\n\"Answer: 19914*h**2 + 253*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 791292 and 2820?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5526 + -25781162\nAnswer: -25775636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + (1 - 0) + 1. Let t = z - -30. What is the common denominator of 71\/4 and -1 + (-3 - (-87)\/t)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 93*q - 1. Let z be y(1). Calculate the highest common factor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -10*v - 53. Let f(q) = v - 2*q - 23. Let m(p) = 13*p**2. Calculate m(f(l)).\nAnswer: 52*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 1236301.\nAnswer: 56\/1236301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.99? (a) 1\/8 (b) 0.17 (c) 4 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 3*a = 16 + 9, 6*w - 5*a - 47 = 3*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55883*r*u + 23*r - 959 wrt u.\nAnswer: 55883*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6490\/310 - 21) + (-14798)\/(-297600) and -73\/4.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41311, -41317, -41323, -41329, -41335, -41341?\nAnswer: -41347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 3*k. What is the derivative of 3 + z - k - 5*z wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 98 + -95. Suppose -3*b + h*k - k + 21 = 0, -5*b - 5*k = -10. What is the third derivative of 6*t**5 - 5*t**2 + 8*t**b - 7*t**2 wrt t?\nAnswer: 840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 116*w**2 + 3*w + 94. Calculate c(58).\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:58 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23943023.78999735 - -23943096.79. Let s = -72 - -145. Let m = s - d. Round m to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2 + 4. Which is the smallest value? (a) d (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1)*((-1376)\/220 - (-492)\/(-902)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1138982765 to the nearest integer?\nAnswer: 1044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 56, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + (-3 - 1 + 3)*(-1 + 2 + 0) - 2 - 3 + 3 + 1 - 1 + 2 - 2 + 3 + 1)*(-135 - 131 - 251)*(-3 + 3 + 2)*(-1 + 1 + h**2).\nAnswer: 1034*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 5*j + 1. Let s be p(1). Let b be 1 + 4\/2 + 0. Solve -k - 4*q + 8 = -4*k, -17 = b*k + s*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-60)\/27)\/5)\/((-2)\/9). Suppose 4*n = 7 + 5. Solve k + b = 0, -k + 4 = n*k + m*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:37 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 31239 and 2\/1975 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.01, -2, -5.1, 31?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4))\/f*f*f**(-18)*(f\/((f*(f**8*f)\/f)\/f))**(1\/73) assuming f is positive.\nAnswer: f**(-956\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -26*u - 7 + 15 + 13 + 34 - 2*u**2 + 0*u**2. Let n be p(2). What is the fourth smallest value in 3, -2, 2\/11, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -8446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -262\/5 (b) -53 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -23*i**4 + i**3 + 100*i**2 - 12*i. Let h(o) = -23*o**4 + o**3 + 99*o**2 - 10*o. Let k(p) = 6*h(p) - 5*q(p). Find the third derivative of k(m) wrt m.\nAnswer: -552*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5847 - 8*f**2 - 5840 + 11687. Let z(u) be the first derivative of u**3\/3 + 3*u + 2. Let t(g) be the first derivative of z(g). What is t(m(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332982323?\nAnswer: 332982323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-8 - (2 - 18))) + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = a + 250, -5*t - 68*a = -65*a - 338. Calculate the remainder when 544 is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 3, -7.\nAnswer: -53, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 5. Let g(m) = -5*m + 7. Let z(i) = 15*i - 20. Let x(b) = -7*g(b) - 2*z(b). Give 7*r(c) - 4*x(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2424 and -41\/4242?\nAnswer: 16968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*u - 63*u + 49192. Is 62 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 74, 2\/13, -0.5, 16\/7, -1.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 18581*z - 18585*z - 40 = 0, -4*k = -4*z - 48 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**3 + 62*x**2 - 4*x. Let a(z) = 29*z**3 + 396*z**2 - 25*z. What is 2*a(j) - 13*s(j)?\nAnswer: -7*j**3 - 14*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 1\/140*m**7 - 1\/40*m**5 - 1\/80*m**6 + 1\/224*m**8 + 0*m + 0*m**3 + 0*m**4 - 5*m**2 + 0. Factor v(o).\nAnswer: 3*o**2*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-14) + 102960\/210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-40)\/(r**(-3\/7)*r\/(r*r*r*r\/r**2)))\/((r**3*(r\/r**(2\/13))\/r)\/(r\/r**(1\/2))**21) assuming r is positive.\nAnswer: r**(8933\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-42)\/54) + 9. What is the second smallest value in 185, 2, -1\/2, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651 = -3578*i - 3438*i + 7143*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v**5 + 1\/12*v**4 + 0*v**3 + 2*v**2 + 0*v**6 + 0*v + 0 - 1\/42*v**7. Find the second derivative of a(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 583 = -2*z, -3*z - 210 = -c - 1074. Is 41 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, 12, -1\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7215*d**2 - 6775*d**2 + 14012*d**2.\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12667 or -0.073366?\nAnswer: -0.073366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 - 92 = 5*m. Solve k + m = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + sqrt(85)\/(sqrt(20)\/sqrt(4))).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 + 197. Suppose 81 = -40*u + j*u. Calculate the highest common factor of 36 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + 2b7?\nAnswer: 2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.248483 to three decimal places.\nAnswer: 0.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**5*r**(-1\/9)*(r**(5\/7)\/r)\/((r\/(r*r**6*r*r*r)*r)\/r)*((r\/(r**0*r))\/r)**(-22)\/(r*r**(-1\/3))**(2\/7) assuming r is positive.\nAnswer: r**(1664\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2544 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -387, 5, 2, 3 in ascending order.\nAnswer: -387, 0, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/12)\/z)\/(z\/(z**(-5\/3)*z)*z))\/((z**(-3\/35)\/z*z)\/z**(2\/51)) assuming z is positive.\nAnswer: z**(-25883\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.004 or 8.937?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 397784, 3\/5, -0.3, -0.5 in descending order.\nAnswer: 397784, 5, 3\/5, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5271663?\nAnswer: 3, 1757221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1501764 + -0.4481641. Let s = 0.298 + n. Round s to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + 98 + (10 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/((-210)\/(-14)))\/(8\/(-36)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 1. Let j be 2\/r*(13 + -19). Solve j*u - 6 = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3952053 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 4)*(34 - 35*m - 34)*(-3 + 2 + 2)*(-4 - 1 + 6) in the form j + o*m and give o.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 362693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.6 + -3.4. Let v = g + 15.078. Let p = -0.0842 + v. Round p to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j - 15. Suppose 4*v = 7*h - j*h - 32, 3*h + 4*v = 17. Calculate the greatest common factor of h and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 82*r**2 + 719*r. Let y be x(-8). Sort 4, -25, y, 3 in ascending order.\nAnswer: -25, 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 - 529. Is l <= 282\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 9*l - 4. Let y be d(10). Suppose -55 = -z - 2*n, 4*z - n = -y*n + 217. Calculate the remainder when z is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -u - 5*x - 1, -4*u = 3*x - 372. Suppose -708*d - 7450 = -32938. What is the greatest common divisor of d and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 33. Let h be 0 - ((-6)\/(-4) - 1). What is the nearest to h in 0.2, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 3, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j + 490. Suppose -2*c + 5*l = -85, -3*l = -5*c + 67 + j. Suppose 5*x + 4*r - c - 45 = 0, 3*x + 3*r = 48. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - m - 42, -m + 2 = 0. Let y be 3205818\/3528 + (10\/(-7) - -1). Let j = y - 897. Which is bigger: i or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-73 + 77 + -5 + 3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10171 divided by 1453\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 17520.\nAnswer: 122640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u + 6*u + 2*u to the form p*u + g and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 178157563 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -254\/7 + 36. Let o = 2 - 10.9. Let v = -3.9 - o. Which is the smallest value? (a) d (b) 4\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 = 5*v, -2*n - 5 = 3*n. Solve v*f = -2 - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10 - -7) + (98 - -2) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w + 25*w - 217*w + 4*w**3 + 165*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -441, -874, -1305, -1734?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g - 1256. Let s(m) = m + 143. Let a(f) = -c(f) - 9*s(f). Determine a(9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8991.67 milligrams to nanograms.\nAnswer: 8991670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48 + 12 + -26 - -122) + (-23 - 0).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-12))\/((-2)\/(-12)). Let a be 1107\/21 + 3\/(63\/6). Let w = a + -28. Calculate the highest common factor of d and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110000000010110000100 (base 2) to base 16\nAnswer: 580584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 7*v + 6 = 0. Suppose 2*q + 2*l - v*l = 1, 4*q - l = 7. Suppose 3*m = 2*m + 27. Calculate the highest common factor of q and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 = 3*g + 14, 3*g = 5*o - 15. Let l(d) = o*d**2 + 3*d**2 + 3*d - 2 + 2*d**2 - 6*d**2. Let k be l(2). Are -1 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -38 + 16. Let t(z) = z**2 + z - 83. Let b = -168 - -181. Let v be t(b). What is the highest common divisor of v and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(23\/6))**5\/(o\/o**(-7)*o\/o**(-2\/7))**(-1\/4) assuming o is positive.\nAnswer: o**(-1415\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -4. Solve m*c - 6*c - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -10?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 5*b**4\/6 + 127*b**3\/6 - 25*b**2. Is u(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -3.98577.\nAnswer: -3.68577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2316*f - 697.\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -17\/6 (c) 1\/6 (d) 3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - -2)*((-63)\/18 + 8))\/(-12)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166472575 or 166472574?\nAnswer: 166472575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (11*288\/880)\/(6\/(-20)*11)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 3*r - 2. Let p(n) = 4*n**2 - 8*n + 5. Let z(i) = -i**3 + 8*i**2 - 8*i - 27. Let q be z(6). Give q*p(o) - 8*d(o).\nAnswer: -4*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*f + 0 + 173*f + 0 + 2.\nAnswer: 39*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*5\/(-25))\/(125434\/10630)?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 j, and 1 l when four letters picked without replacement from {l: 1, m: 1, h: 2, r: 2, j: 4, x: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 112406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 86 = -3*j. Suppose 40*y = 2*x + 37*y + 89, 7*x + 326 = -4*y. Is j < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 945765322?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.717 + -0.217. Let t be -1 + (-1)\/(-5) + 1. Which is the second smallest value? (a) t (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (325\/125)\/(259246\/(-845))?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3360.139 - 3356. What is c rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 103, 155, 207, 259?\n\"Answer: 52*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**2 - 16*v - 3. Let q be j(9). Solve -q*g + 8 = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-35)*(-20)\/6*(-4)\/(-88)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -5*i - 0*i + 4*l, 0 = -i + 2*l + 20. Suppose 10 = i*f - 314. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzzuylcuf. Give prob of sequence uyuf.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/6)\/(528\/1408).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 15*j + 50*j + 376 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -486d (base 15) to base 11.\nAnswer: -10633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38389 in -1\/3, 33, 1, -6, -2, -4?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**3\/6 - j**2\/2 - 4*j + 16. Let k(o) be the first derivative of o**2\/2 - o - 1. What is c(q) + k(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -8) + (32 - ((-3 - 3) + 10)) + -10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1819 divide 433796939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 302\/7. Sort -2, -5, v.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j**3 + j**2 + j - 1. Let b = -17 - -18. Let s be v(b). Let z(x) = 3*x. Let l(u) = u - 1. Let k(o) = -4*l(o) + z(o). Determine k(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21435 - 21432. Let q = -3 - -7. Sort q, -9, 2, v in descending order.\nAnswer: q, v, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 o when four letters picked without replacement from wuuuuuuwuo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**5\/60 + 7*g**4\/24 - 2*g**3 - 23*g**2. Suppose -5*y - 37 - 8 = 0. Let r be o(y). Is r greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j - 5*j**2 + 4*j - 5*j - 8 - 2*j**3 - 4*j**2. Is u(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118384997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/5 + 1\/5. Is 2054\/o + 2\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8549\/4 + -2123. Calculate the common denominator of z and 0 - (-70)\/(-22) - 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + s - 21, -2*n - n - 5*s = -73. What is the lowest common multiple of 16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 37 = -5. Suppose -2*w = o - 21 - s, 4*o = 4*w - 96. Suppose 33 + w = 5*t. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. What is prob of picking 4 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*m + 6 = 0, -3*y + 0*m - 4*m = 22. Let t be y\/(-6) - (-15)\/9. Solve -u - t = 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 6*b - 10. Let n(q) = -2 + 2 - b*q. Let p(x) = x**2. Calculate n(p(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) 0.02 (c) 5 (d) 24.85 (e) 0.5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003867130668 to 7 decimal places.\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1653 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.3 - 193.3. Let k = -170 - i. Sort -0.1, k, 1.\nAnswer: k, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3 - -15) + -5 - (-1 + 17)) + -10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b. Let s(t) = 38*t**2. What is s(r(j))?\nAnswer: 3800*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922117629?\nAnswer: 3, 113, 937, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0025 (b) -54 (c) 0.4 (d) -1\/106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/12*(7 + 1 - (-2184)\/(-234)). Let g(d) be the second derivative of 8\/3*d**3 + 31\/2*d**s - 29*d + 0. What is the first derivative of g(f) wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f. Let s(a) be the first derivative of a**4\/6 + 13*a - 5. Let h(k) be the first derivative of s(k). What is h(o(c))?\nAnswer: 450*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:15 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p. Let r(q) = -q**3 - 12*q**2 - 12*q - 7. Let f be r(-11). Let t(z) = 3*z - f*z - 2*z. Calculate y(t(l)).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r - 6. What is the lowest common multiple of v(-2) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -3\/8, -9\/8, -0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128772\/(-51597) - (-2)\/18*(-50)\/(-5).\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325530 (base 6) to base 13.\nAnswer: -c4c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 57*b**3 - 2*b**2 - 334*b + 997. What is u(3)?\nAnswer: 1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38261838 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:59 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from smmmsmmmmmsmmm?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:39 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339 + 55 = -71*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30032113001 (base 4) to base 16.\nAnswer: 30e5c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 5:46 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/3*m + 140\/3 + 2\/3*m**2.\nAnswer: 2*(m - 10)*(m - 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2184 and 10976?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - (7 - 4))*24\/20. Calculate the common denominator of 15\/8 + 1\/1 and r\/(-24) + 41\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -12*b + 7. Let h(k) = 8 + 7 + 20 - 34. Let d(a) = 6*h(a) + s(a). Let c(t) = -t. Calculate c(d(j)).\nAnswer: 12*j - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*u + 327*u - 2323*u**2.\nAnswer: -2323*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.02 (b) 3 (c) 4 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nagingfafgfgafgag. What is prob of sequence nf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 11*n - 26, 2*z - 2*n - 3*n - 7 = -19 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2366247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -925 + 1600. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6270, 6338, 6504, 6810, 7298, 8010?\nAnswer: 8988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99885941.\nAnswer: 23, 79, 54973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32874*n**4 - 18743?\nAnswer: 131496*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -0.215 (b) -0.1 (c) 0.08 (d) 1.1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -15.081797.\nAnswer: -30.163594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -5*c - 40, -2*y + 5*c + 2987 - 3010 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q**2 - 4*q + 4 - 2*q + 6*q**2 + 4*q. Let k(z) = -76*z**2 - 11*z + 19. Let l(x) = -2*k(x) + 11*w(x). What is the first derivative of l(v) wrt v?\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - x - 31, 5*p - 5*x = 35. Let v(t) = t**2 + 2*t - 8. Let c(r) = -r**2 - 2*r + 7. Determine p*c(f) + 5*v(f).\nAnswer: -f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 112833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 17*q - 290. Let g be j(17). What is the closest to -3 in -2, g, -1\/9, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -2\/9, -5, -398, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2988 and 1328.\nAnswer: 11952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {n: 2, g: 3, y: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73054.39 millennia?\nAnswer: 876652680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n + 40. Determine d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Let b = -20 + 16. Let v be 3*(-1)\/6*b. Solve -3*s - 2*x = v*s + 12, 3*x - 12 = f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + j + 7 = 0, j = -5*f + 11. Suppose 3 + 0 = 3*u + 3*o, 0 = -u - 2*o + f. Let w = -1 + u. Put 2, 3, w in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**2 + 0*a + 3 + 2\/15*a**3. Determine u, given that k(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 665950496 to the nearest integer?\nAnswer: 25806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*a + 14 = 0, 3*z - 25*a + 26*a = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -588820*q - 215255.\nAnswer: -588820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47280551414689 + 47280551414689 - 5*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 26*i)*(2 - 2 + 4)*(1 + 1 - 1).\nAnswer: 104*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4141 - -4148. Let q(f) be the second derivative of 7*f + 20*f**6 + 0*f**3 + 0*f**2 + 0 + 8\/3*f**4 - 250\/21*f**s - 12*f**5. Factor q(r).\nAnswer: -4*r**2*(5*r - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 4*g**2 + 3*g - 1. Is o(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -11 - 4. Suppose 2*m + 377 = 3*o, -785 = -t*o + 4*m - 156. Calculate the greatest common divisor of o and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/304 and 61\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 17 + 286*u**2 - 6 to the form o*u + j + r*u**2 and give r.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -136 and 14.\nAnswer: -1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 1.22, -0.7 in ascending order.\nAnswer: -0.7, 2\/3, 1.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5935841 tonnes to micrograms.\nAnswer: 593584100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 3*m. Let x(h) = -h**3 - 3*h**2 + 6*h + 6. Let f be x(-4). Calculate l(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(40)*-2)\/(sqrt(30)\/sqrt(54)))**2.\nAnswer: -48*sqrt(2) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13507 is divided by 4284.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 6*j**2 + 5*j + 5. Let p be r(-5). Let q be (-2)\/(-1) + (-5)\/p. Suppose -5 = -g - q. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926 divided by 84?\nAnswer: -209\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - g + 4)*(g**4 + 0*g**2 + 0*g**2) + 2*g - 2*g + 3*g**5 + (69*g**4 - 19*g + 19*g)*(-2 + 2 + 2*g).\nAnswer: 140*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54809 is divided by 200.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 + -114 + (-12)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -4*w - w. Suppose 3*y = -2*r + 7, 15 = 5*r - 96*y + 101*y. Calculate the smallest common multiple of r and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 256632.6799 + -969.\nAnswer: 255663.6799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 595005, 594464, 593569, 592326, 590741, 588820, 586569, 583994?\n\"Answer: s**3 - 183*s**2 + s + 595186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -13*g + 113. Let a be r(9). Sort -7, 5, a in increasing order.\nAnswer: -7, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gguu when four letters picked without replacement from qugqgyyuqqggguyqq.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*s = -612*s - 174 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.2 + 12. Let h = -1.5 + q. Let j = -0.3 + h. What is the nearest to 0.3 in j, -5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h**2 - h. Let w(t) = 2*t**3 + 3*t**2 + 9*t - 4. Let x(j) = j**3 + j**2 + 5*j - 2. Let r(y) = -3*w(y) + 5*x(y). Let a be r(-3). What is d(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**4 - 31068804*w - 17271437 wrt w.\nAnswer: -8*w**3 - 31068804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 7*h**3 - 10 + 14*h**2 - 11*h**2 to the form y*h**3 + a*h**2 + p*h + l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 3. Let c = 9 - 5. Let w = 6 - c. Sort -2, k, w in decreasing order.\nAnswer: w, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 9*g - 3. Suppose 5*c = -2*x - 23, -10*x - 3*c = -5*x + 10. Let q be (x\/5)\/((-67)\/(-2345)). Calculate f(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -529, -709, -885, -1057, -1225, -1389?\n\"Answer: 2*f**2 - 186*f - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22480 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 - -0.2. Let y = 6147\/8228 - -6\/2057. Which is the nearest to 1? (a) l (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7798 + (-3)\/(18\/(-48)). Round y to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -136. Suppose z = w - 13. Calculate the remainder when 156 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26397870 divided by -51258\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 6*l)*(0 + l + 0)*(2 - 2 - 5*l**2 + (-l + 0*l - l)*(-l + 0*l + 3*l)).\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*n + 119*n + 73829. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 1:29 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 1373?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-23 - -3) + (-471 - -478)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2039 is divided by 113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)\/(((y*y**(-8))\/y)\/y))**50\/(y*y\/(y*y**(-9))*y\/((y*y**(-3)*y)\/y)*(y\/(y**1*y))**(-29)) assuming y is positive.\nAnswer: y**(2656\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44174 is divided by 5659.\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -198*j**3 - j**2 - 5*j - 3. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1222\/7? (a) 4\/9 (b) -14 (c) -2 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 204, 293, 360, 399, 404, 369?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -148*u + 146*u - 16 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 6*z**2 - 6*z - 8. Let d be p(7). Let j be d*2 - (-64)\/(-2). What is the units digit of j\/(-8) - (-3)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2. Suppose 2*t - 10*t + 5984 = 0. Let y(l) be the first derivative of -l**2 - 748*l + t*l + 2. Determine y(h(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25079467?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = y - 3*a, 9*y - 31 = 4*y + 3*a. Let x be -4*15\/(-36)*-3. What is the second biggest value in -1\/2, y, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -21*g - 80. Let z be j(-4). Let q(m) be the third derivative of 0*m**3 + 0 + 0*m + 1\/60*m**5 + 0*m**z + 10*m**2. Let o(t) = t. Determine o(q(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55\/58 + -13\/29. What is the third biggest value in m, 4, 2\/63, -3?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47520, -190424, -428598, -762042, -1190756, -1714740, -2333994?\n\"Answer: -47635*i**2 + i + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v + 285 = 0. Let d = -52 + v. Calculate the remainder when d is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 12. Let m be -6 + 35\/98*(-35)\/(-2). What is the nearest to m in n, 3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 143, -49, -441, -1099, -2089, -3477, -5329?\nAnswer: -7711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222212 + 10000?\nAnswer: 12002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.655192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(4*s - 12*s - 2*s) + 0*s - 2*s + s)*(1 + 2*s**4 + 477*s**2 - 477*s**2 + 12*s).\nAnswer: -42*s**5 - 252*s**2 - 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 23*r + 23. What is the least common multiple of n(-11) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*v = -0*v - 64, 4*s - 5*v - 64 = 0. Let b be s\/(-3)*6\/(-4). What is the highest common factor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 946.223262 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 364250\/3525*(-9)\/(-15).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -447573 divided by 63939?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 222.715 and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1470 - -b361?\nAnswer: 9ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*v. Suppose 3*r = 4*f - 0*f + 56, v = r - 2*f - 20. Suppose -r = -5*i - 6. Solve i*y - 11 = -3, -k + 3 = y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86948424 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 18. Let d = 11.9 - t. Which is the closest to -2? (a) d (b) -3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)\/(3*-1). Let r be 4\/(8\/(-70)*-7). Let j = 0.04 - -1.96. Put r, t, j in ascending order.\nAnswer: t, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = 0, 2*a - 14 = a - d. Let o = -8 + a. What is the third derivative of y**2 - 15*y**3 - 6*y**2 + o*y**3 wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 337 = -82*b, 34 = 4*b + 1088*m - 1086*m for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 - 3. Let y = v + -137. Let a(c) = -3*c**2 + 2*c + 2. Determine a(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 3300, 11156, 26458, 51690, 89336?\nAnswer: 141880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127638*o**3 + 2*o**2 - 500*o - 98 wrt o.\nAnswer: 765828*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 - 2*q**2 + 5*q - 1. Let w be j(4). Let k = w - 94. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22.96 + -0.04. Let o = 23.071 + v. Let i = o - 0.070963. What is i rounded to 6 dps?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - d - k + 9, -12*k = 4*d + 20. Solve 2*w - 10 = 2*l - d*l, 15 = 3*l - 3*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 353855926?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24156 + -24151. Let o = 12 - 6. Let k = 4 - o. Which is the second biggest value? (a) k (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 46. Calculate i(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7656 - 3646. Calculate the highest common factor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770961*a**3 - 770963*a**3 + 0*a**2 + 0*a**2 + 0*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3)*(1 + 2 - 2)*(6 - 1 - 3)*(-2*c**2 + 3*c**2 + 0*c**2) in the form g*c**2 + y + a*c and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 10, 2.2.\nAnswer: -24, 2.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-31672)\/(-214)*2\/(32\/(-4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.18753 meters to kilometers.\nAnswer: 0.03118753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j**2 - 4*j + 4. Let q be c(1). Let y be ((-288)\/(-120))\/((-1)\/(-5)). Let s(f) = 2*f - y*f + 9*f. Let m(i) = -4*i. Calculate q*s(r) + 5*m(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -20 - (-12 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 11:35 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2454 - -6?\nAnswer: -2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m**3 + 6*m*y**3 + 61*y**3 wrt m?\nAnswer: -15*m**2 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4650)\/1240*(-4)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-64)*-60)\/(10*15\/120).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -13, 31, 129, 299?\n\"Answer: 3*r**3 - 13*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1456 + -1.145605207. What is h rounded to 7 decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19183, -38125, -57067, -76009, -94951?\nAnswer: -113893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -87673*o - 964346. Calculate m(-11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -21*i + 18*i - 3*z, 0 = -5*z + 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*z - 361 = -5*d, 2*z = 4*d - 382. Suppose 3*m - 3*w + 22 = d, 5*w + 8 = m. Suppose -2*h = -6*h - m. Let b(v) = -v**2 - 6*v - 5. Determine b(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b**3 - 35*b**2 + 2*b - 4. Let i be j(-4). Put -25, -250, i in decreasing order.\nAnswer: i, -25, -250","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784615 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/5 + 24633*w\/5 - 30402222\/5 = 0.\nAnswer: 1513, 6698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 2*f**3 + 153 - 15*f - 151 + 5*f**3 - f**3 - 2*f**3 + (0 + 3 - 1)*(-4*f**3 + 4*f**3 - 2*f**3) - 2*f**3 - 2*f**3 + 3*f**3.\nAnswer: -2*f**3 - 15*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 3*g**2 + 3*g - 4. Let w(p) = -10*p**3 - 8*p**2 - 10*p + 13. Let h(u) = 7*v(u) + 2*w(u). Determine h(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 1781 = -20*f. Let v = -36 - f. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50421*s**2 - 50421*s**2 - 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.47 + -0.21. Let a = t + -0.305. What is a rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -68.084. Let s = d - -5.084. Which is the nearest to -0.05? (a) 1\/2 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -i - 2*x, 3*x + 24 = i. Calculate the remainder when ((-130)\/i)\/(4\/(-6)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5\/7 + 1112*d**4\/7 + 274320*d**3\/7 - 76399200*d**2\/7 = 0. Calculate d.\nAnswer: -262, 0, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -4, 1173, -1.\nAnswer: -110, -4, -1, 1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/408 and -143\/816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 + 2*b**2 - 2. Suppose -3*i + 5*i - 12 = 0. Let q(x) = -8*x + 12*x - i*x. Give q(m(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 + 4472*a**2 - 1254384*a + 2490912 = 0. Calculate a.\nAnswer: 2, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, t: 5, w: 2}. Give prob of sequence hhh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*g**3 + 2 + 3*g + 16*g + 7*g**2 - 1 - g - 16*g to u*g + q*g**2 + m + k*g**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f + 5. Let o be j(-5). Suppose -4*q - 15 = -4*c - 3, 4*q = 3*c - 7. What is the nearest to 0 in o, q, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.028 - -1.028. Which is smaller: j or -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 3:38 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 55. Solve -17 - s = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32684.27 centuries in millennia?\nAnswer: 3268.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14869 - 2\nAnswer: -14871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8956481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 23041*i. Let g(o) = -4979*o**2. Give g(b(x)).\nAnswer: -2643289763699*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -304 + -62. Let p = g - -572. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5866 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 10. Let n be (-4 - 0\/(-2)) + 1 + 6. Let i be p(n). Solve 2 = i*x - 0*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 3, 12, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*i = 8, -4*i = 3 - 11. Suppose -15 = -3*k - l. What is the units digit of -1 + k - (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 n when four letters picked without replacement from {i: 4, n: 10}.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*(3 + 7\/(-2)). Let s be -1 + n\/3 + 0. Suppose -s*l + 25 + 17 = 0. Calculate the highest common factor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -605 (b) 5 (c) 816\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 8*f**2 + 3*f + 2. Calculate the remainder when m(5) is divided by 1 + 5 + (0 + 5 - -13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 30. Is 13 a factor of (-234)\/y*10\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -3*t**5\/20 - 11*t**3\/3 + 15*t. Find the second derivative of z(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*y - 3 + (1 + 2 - 2)*(-y + 2 - 2) + (-4 - 3 - 14)*(-2*y - 8*y - y) + 4 - 4 + y.\nAnswer: 229*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/8400 and -31\/3680?\nAnswer: 386400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 220 - 216. Suppose 2*k - 6 = 5*u, -u + 3*u = o. Solve -2*a + 0 = 5*x - 16, -2*x + k = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1608, 0 in increasing order.\nAnswer: -1608, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 6827 - 6791 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b - 7*b + 4*v, 4*v = -2*b + 16. Suppose -2*d + d + 24 = b. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 - 434?\nAnswer: -432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 1, r: 1, l: 2, z: 1, q: 1}. Give prob of sequence rnl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13737844 (base 10) in base 9?\nAnswer: -27757701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jji when three letters picked without replacement from jji.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -351.0604 + 0.0604. Let f = 351.000036 + v. What is f rounded to six dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, u: 2, a: 5, z: 2}. Give prob of sequence zaa.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 2*q**2 - 2*q**2 - 2*q**4 + (q**2 - q**2 + 2*q**3)*(-8*q + 75 - 75) + 0*q**4 + q**4 + 6*q**4 as f*q**4 + p*q**3 + s + h*q**2 + w*q and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkkz when four letters picked without replacement from ntztkktzzzkntznjztz?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -52*g**2 + 3*g + 357. Let k(o) = 248*o**2 - 14*o - 1786. Give -14*d(y) - 3*k(y).\nAnswer: -16*y**2 + 360","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 6. Let i = 1 + -7. Let n = i + 8. Solve 5*g + 0*g - y = 10, -g + b*y + n = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 14745*u + 14749*u = -10, 4*a = u - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 5*k - 32*k - 46*k)*(1 + 2*k - 1).\nAnswer: -4*k**3 - 166*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 754 and 3393.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5040*g**3 - 6776*g**2 wrt g.\nAnswer: -30240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6691, 26809, 60335, 107269?\nAnswer: 167611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20265838 at most 20265837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 + 30*c + 30 - 58 as m*c + z and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1490*q**3*y + 6*q**3 - 13*q*y + 174*q wrt q?\nAnswer: 8940*q*y + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 - -80. Let x = -37 - v. Solve 4*p = x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2229546 divided by 1221.\nAnswer: -1826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**2*v*z**3 - s**2*v*z**2 - 2*s**2*v*z + 802*s**2*v + 4*s**2*z**3 + 5*s*v*z**2 + s*v - 131*v*z**3 wrt z.\nAnswer: 18*s**2*v + 24*s**2 - 786*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-1)\/10*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000952106 to five decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (sqrt(125) + -2*sqrt(125) + sqrt(125))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2294 and -2290 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 22) + 7 - (-1 + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 7*p + 4*p**3 + 17*p - 10*p.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-4) - (45\/12 - 4). Solve 0 = 3*a - 8*a + 15, -15 = 5*h - i*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 321.\nAnswer: 353.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**3*w**2 + 186*k**3*w - 2*k**3 - 60*k**2 + 4*k - 6*w**2 wrt k.\nAnswer: 54*w**2 + 1116*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 443?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.242 and -0.5?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58084 and 1938?\nAnswer: 56283396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*u**2 - 44473845*u + 16172300.\nAnswer: 5*(u - 808615)*(11*u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.92 + 9.92. Which is the third smallest value? (a) h (b) 3\/5 (c) -59\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 30 = 4*h. Suppose h = -3*a - 2*a. Let r = a + 5. Solve 3*f - 2 = 2*j - r, -5*f + 13 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**3 + 3*x**2 - 6*x + 27. Determine t(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11*i*i*i**(-10)*(i\/i**(-8))\/(i\/((((i\/(i\/i**(-3))*i*i)\/i)\/i*i)\/i)) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-5)*22*(-11)\/(-1331)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854 - 123*c**2 - 21*c**2 - 854 + 145*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.79*0.386557\nAnswer: 0.30538003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7*u + 2 = 5*u, -4*i = 5*u + 17. Let v = i - -11. Find the third derivative of -v*p**2 + p**2 - 2*p**2 + 3*p**3 - 9*p**3 wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39*36\nAnswer: -1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3.5 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 + 19*j - 2. Let x(f) = 15*f**2 - 34*f + 4. Give 11*s(v) + 6*x(v).\nAnswer: 2*v**2 + 5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*f = -5*n, -5*n - 2*f = -6. Suppose k + 92 = -5*q - n*k, -2*q - 3*k - 35 = 0. Let r = -20 - q. Which is smaller: r or 2\/65?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00137406602 rounded to six decimal places?\nAnswer: 0.001374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-427386)\/(-59355) + -7 - 2\/10). Is p at most 3957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1373\/8 - 172. Which is the third smallest value? (a) q (b) -5\/3 (c) -1\/4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12375, -24739, -37103, -49467, -61831?\nAnswer: -74195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 48*b - 413 = -93 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316 + -314. Suppose -z*k = -2*w - 6, -4*k - 23 = 5*w - 8. Let f = 14 - 10. Put w, -5, f in descending order.\nAnswer: f, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v = -26*v + 12. Let o(k) = k + 16. Let b be o(0). Factor -8*z**2 - v*z**3 + 2*z**3 + 2*z**3 + b*z.\nAnswer: z*(z - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3649 - ((-280)\/(-14) - 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 553 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7667913*g**6 + 224787*g**2 + 2.\nAnswer: -920149560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -113, -69, -25?\n\"Answer: 44*l - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*b - 3*v + 45, 5*b + 75 = 3*v. Let u = b - -18. Solve 2*d + 5 = -u*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 126.281?\nAnswer: 378.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnyvnnvvyyu. What is prob of sequence vyyn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o - 22. What is b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9467016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -178 (b) 3\/5 (c) -23 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m + 3. Let y be s(0). Let b(q) = 2*q**2 - q + 4. Let x be b(-3). Solve -y*z = 2*z + x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 504.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edzvvjjdejjvvjjdjdew. Give prob of picking 1 j and 3 d.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -47\/120*m**6 + 0 + 45*m**2 + 0*m**5 - 7\/6*m**3 + 0*m**4 + 0*m. Find the first derivative of x(q) wrt q.\nAnswer: -141*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 17*a. Let m(y) = -10*y + 1. Let l(i) = m(i) + u(i). Suppose -6*v - 20 = -2*v, 5*j - v = 30. What is l(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 242*w**4 - 1479*w + 2329. What is the derivative of s(a) wrt a?\nAnswer: 2904*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 180 = 5*v. Let h = v + 86. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2223 (b) 0.3 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 51414405+-0.017\nAnswer: 51414404.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 13*v**5\/20 + 7*v**2 + 10*v. Differentiate y(t) with respect to t.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2627067804 + -373700.\nAnswer: 2626694104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182.444 - -0.45707321.\nAnswer: -181.98692679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 304 + -2131\/7. Let s = 88.2 + -83.2. Which is the smallest value? (a) y (b) 0.2 (c) s (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 99*l - 96. Let u be m(1). Let 0 + 1\/2*v**4 - 1\/2*v**2 - 1\/2*v**u + 1\/2*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13 - 10 - (0 + 3). Let n(j) be the second derivative of y - j + 1\/12*j**4 + 1\/3*j**3 - 3\/2*j**2. Give n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -2*i + 289. Let z(u) = -40*u**2 - 9*u - 11. Let k be z(-1). Let t = i - k. List the prime factors of t.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -34*j**5 - 1662*j**4 - 21088*j**3 - 47952*j**2 + 205856*j - 23520 = 0.\nAnswer: -30, -14, -7, 2\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*s**3 + 49*f**3*s**2 + 265*f**3 + 4170*f**2*s**3 - 3*s**3 wrt f.\nAnswer: -12*s**3 + 294*s**2 + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.119514 micrograms?\nAnswer: 7119.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24647 + 427?\nAnswer: -24220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2096764 + -0.231529. Round s to four decimal places.\nAnswer: -0.0219","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**2 + 3740*j - 574560 = 0?\nAnswer: 216, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11784*n - 11873 = -11401*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*a - 21, -7*a + 4 = 4*m - 5*a. Suppose -c + 4727 = 5*i, -11*c + m*i - 9440 = -13*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 92 = -4*b, -4*b + b - 4*o = -59. Let f be 5\/b - 218\/(-10). Solve 5*a - f = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4915 + 4212. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 - 8 = 0. Suppose -z*j - 14 = -5*j. Suppose -3 - j = -2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3770*v + 3766*v - 12 - 3.\nAnswer: -4*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-179981734.\nAnswer: 359963468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635 divided by 11?\nAnswer: 5635\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*u = -2*u - 128, 2*x = -3*u + 252. Let n = -3 + 5. Suppose -2*z + x = n*z. What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -366137 and -6.\nAnswer: 2196822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(3) + sqrt(14))*1)\/(sqrt(42)\/(sqrt(18)\/sqrt(3) + sqrt(6))).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1024 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31003?\nAnswer: 7, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 161823 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 31*d + 33*d + 28*d + 33*d - 131*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 31 = -y + 48, -3*a - 2*y = -9. Solve 0 = -z - 4*i - 11, -a = -z + 10*i - 6*i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 14*m**2 - 30*m - 25. What is t(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:14 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*k = -0*s + 21, 0 = -2*k + 6. Which is smaller: s or 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = b - 1, 2*b - 5*c + 3*c = 22. Suppose 79 = 5*p + b. Let a(y) = -8*y + 7. What is the remainder when a(-6) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-21)\/w**(-9\/8))\/(w**(-2)\/w*w*w*w*w**(-42)*w) assuming w is positive.\nAnswer: w**(169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*f - 1598 = f, 4*n + f = 2139. Calculate the greatest common factor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n + 5. Let m be j(-2). Find the common denominator of -1 + m + 23\/(-20) and -151\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-68 + 73 - (-8 + 0) - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4370066271.\nAnswer: 3, 5623, 86353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 - (120 + -152 - 75)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 6*g + 12. Let x be (11 - 4)\/(-1 - 0). Let s be r(x). Suppose -5*z + s*p + 1270 = -0*z, 3*p = -4*z + 1002. Is z a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - fd?\nAnswer: -f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 11*b - 5. Let k be i(5). Suppose k = -6*v + 22 + 14. Solve -v*a = -a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from llodclioivill.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9332*d + 61940. Give n(-7).\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + -15 - ((-4 - -6) + -18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 102*v - 3378. Determine d(-125).\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 8*x + 0 + 1\/10*x**5 + 0*x**4 - 1\/2*x**3 + 0*x**2. What is the second derivative of j(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 3. Let p be b(4). Let a = p - 3. Solve -a*w + 12 = 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*z - 3530 = -992 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 30\/7, -0.061?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 160501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 13 = 5*u, -p - p + 2*u = 2. Suppose 3*t + 5*f - 995 = -p*t, -f = 4*t - 805. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from quqqquqqqqqqqqqqquuq?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/33*(-2 + 1) - (-414391)\/(-10879)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e - 14b?\nAnswer: -1e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7613 (base 8) to base 5.\nAnswer: -111404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) -1046 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -3. Let u be 11\/((-11)\/(-10)) + -5. Suppose -h - 8 + 0 = -3*n, c*n = 4*h + u. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59 from -592838274.\nAnswer: -592838333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 11 (b) 0.23 (c) -0.02 (d) 23 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 8 - -7) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**4\/4 + 13*t**3\/3 - 11*t**2\/2 - 8*t - 1. Let a be k(12). Suppose -a = 8*b - 1196. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*l + 20174 = 109*l. What are the prime factors of l?\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {t: 2, d: 8, h: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*a - 279*a - 284*a - 10 = 282*a + 6, 0 = 14*h - 4*a + 46 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12993\/6)\/((-232)\/2). Let z = -342\/29 - i. What is the common denominator of z and 61\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 72. Let x(g) = -g**3 - 2*g**2 - g + 3. Calculate the remainder when x(-4) is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 3:42 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. Let v(l) = l**3 - 4*l**2 - 5*l + 5. Let u be v(o). Solve -15 = u*m + 4*q, -4*m - 4 - 8 = 2*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 10:32 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 73 = -2*m, -235*m + 2*i = -232*m - 110. Solve -b + 20 = -3*c, c - 5 = m*b - 38*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104494466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/69 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 + 4*f**2 - 3*f. Let n be h(2). Let x = 453\/62 - -130\/31. Let z = n + x. Sort 4, 1\/7, 5, z in ascending order.\nAnswer: z, 1\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = k + 79, 4*g = -467*k + 472*k - 10 + 90 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2\/2 + 197*g - 2. Let l(i) = -294*i**2 + 73849 - 73849 + 293*i**2. Calculate f(l(o)).\nAnswer: o**2 + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 30*t - 62. Let q(j) = 4*j**2 - 45*j - 92. Let v(y) = -7*h(y) + 5*q(y). Solve v(r) = 0 for r.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*w + 133*w + 0 - 175*w - 1 - 3 as r*w + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56, -240, -668, -1442, -2664, -4436?\n\"Answer: -17*l**3 - 20*l**2 - 5*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -34*c - 52. Let d(k) = 4*k + 6. Let a(b) = 52*d(b) + 6*o(b). Let y(q) = -8*q**2 - 6. What is y(a(f))?\nAnswer: -128*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1273675, -1273671, -1273667, -1273663, -1273659?\n\"Answer: 4*c - 1273679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let s(f) = 21*f - 239. Let i(a) = 13*a - 159. Let v = 430 - 438. Let m(c) = v*i(c) + 5*s(c). Give k(m(h)).\nAnswer: h + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2020\/77 (b) 8 (c) 1\/2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 3, f: 1, j: 1, b: 13}. What is prob of picking 1 o and 2 y?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 224*f + 3148. What is k(-14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/63*6\/(-4)*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/7 + (2\/8 - (-976917)\/(-68628))?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 2, n: 1, o: 1, u: 1, t: 1}. Give prob of sequence no.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12712*i**3 + 16211*i**3 + 12941*i**3.\nAnswer: 16440*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 45*w**2 - 4*w. Let y(k) = -38 - 56 - 40 - 3*k + 134 + 46*k**2. Determine -3*j(b) + 4*y(b).\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11522 + -4?\nAnswer: -11526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(432) + sqrt(432)*2) + (sqrt(432) - (-5*2*sqrt(432) - sqrt(432))))*3)**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 8*z - 14. Let a be c(2). Factor -5 + 4*g**2 - 2*g**a - 10*g**2 + 13*g**2.\nAnswer: 5*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-375)\/(-625) - (4\/(-10) - -1). Let i be (-3)\/(6\/(-4)) - 1. Sort p, -0.1, i.\nAnswer: -0.1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -69 (c) -2 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*m + 1223 + 3927, 2*m - 6*x - 5158 = 0. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 38*u - 81. Is j(50) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 67316\nAnswer: 1\/67316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112690?\nAnswer: 2, 5, 59, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15176?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -161494 rounded to the nearest one thousand?\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 22*x - 11*x - 720. Sort -4, x, -2.\nAnswer: -4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707424725?\nAnswer: 5, 7, 4042427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 0*l - 2*l to the form j + a*l and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39933, -80257, -120973, -162081?\n\"Answer: -196*f**2 - 39736*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 + i**2 - 3*i**2 + (2*i - 4*i + 3*i)*(0*i + 3*i - i) + i - i - i**2 + 0*i**2 + 2*i**2 - i**2 + (5 - 13 - 9)*(13*i**2 - 33*i**2 - 71*i**2).\nAnswer: 1552*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7\/4, -0.048 in descending order.\nAnswer: 7\/4, 1, -0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 18 = 6*u. Calculate the smallest common multiple of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s - 169 + s**3 - 3*s**2 + 169 + (5*s - 5*s - 2*s**2)*(-s + 6*s - 11*s).\nAnswer: 13*s**3 - 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -335 + -272?\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = j - 0*j - 12803, 0 = -5*j + 3*a + 63967. Let g = j - 729152\/57. Find the common denominator of g and -67\/2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88440075, -176880152, -265320229, -353760306, -442200383?\nAnswer: -530640460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - -33 - (243\/(-54) + 1\/(-2)). Solve u*o - 80 = 26*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 + 6 - (-4)\/(-6). Suppose -2*b + 1 + 11 = -2*d, 2*b - l = -5*d. Is ((-9)\/(-18))\/(d\/(-9818)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 332304*y**2 + 77.\nAnswer: 332304*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1699860*a**2 - 1314776*a.\nAnswer: 3399720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*u = -308 + 326, -4*a + u + 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18c50 (base 14) to base 8.\nAnswer: -172506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (7 + -45) - (-1 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2093 and 829426?\nAnswer: 5805982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-2)*(-6)\/((-42)\/(-7)). Let c be 3 - (-117)\/(-24) - (k - -3). Factor -1\/4*f + 1\/8*f**2 + c.\nAnswer: (f - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07694821 rounded to 4 decimal places?\nAnswer: -0.0769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 793154569 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + j = -10, 0 = -5*k - 5*j - 12 + 2. Solve 0 = 19*m + k*m - 46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 <= 17381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21627552 + 0?\nAnswer: 21627552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 47248*x**2 + 139523344*x = 0. Calculate x.\nAnswer: 0, 5906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-8)*s)\/s)\/s**(4\/9))\/(s**(1\/3)\/(s*s**(-3))))**(1\/47) assuming s is positive.\nAnswer: s**(-97\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i**(-3\/5))\/(i**(1\/8)*i*(i\/i**8*i*i)\/i*i*i) assuming i is positive.\nAnswer: i**(139\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36742, -73484, -110226?\n\"Answer: -36742*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 952771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 13*h**3\/2 + 21*h**2\/2 - 12*h. Differentiate r(n) with respect to n.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 7015?\nAnswer: 2\/7015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24605 divided by 665\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.612 to 1 decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1864718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*q + 5*b - 17, -3*q + 2*b = 6. Suppose 3*l + q*l = 3*s, -3*s - 2*l - 10 = 0. Let y = 9 - s. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000063296341 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6957 or 1\/58?\nAnswer: -6957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m - 6. Let i = -0.1 - 0.3. Put m, i, 1\/5 in decreasing order.\nAnswer: 1\/5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 2, s: 3, t: 8}. Give prob of sequence yy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(8\/9)\/z*z\/z**21 assuming z is positive.\nAnswer: z**(-172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31125 + 4*y + 31876 - 63739)*(0 - 1 - 2)*(-4 - y + 4) to the form d*y + c + v*y**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1734*x**2. Let g(s) = 194 + 28*s - 29*s - 194. What is d(g(j))?\nAnswer: 1734*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110010001110001101010?\nAnswer: -110010001110001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-6955)*(38532\/78)\/38\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5030 is divided by 252.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than -7432353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 9*o**2 - o - 11. Let k be x(-9). List the prime factors of k\/(-4) + 164\/8.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222648834?\nAnswer: 2, 3, 29, 401, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 10*r**2 + 6*r**2 + 5*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 88*r**2 - 192*r + 5358. What is m(-85)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-2*3\/72). Let a = p - -71. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2. Let c(t) = 608*t - 298*t - 306*t - 43. Determine a(c(l)).\nAnswer: -16*l**2 + 344*l - 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -34810048 divided by -6\nAnswer: 17405024\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 88*v - 33*v - 57*v. Let y(f) = -75*f. Determine i(y(c)).\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 - 6*i**2 - 6*i - 6. Let j(o) = -5 - 6 + 0*o - o + 6*o. Let a be j(6). Let f = a + -25. Let b(v) = v**2 + v + 1. Give f*b(s) - u(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 t when three letters picked without replacement from {y: 1, o: 1, t: 2, n: 1, h: 1, j: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 381 (c) 1276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21240122?\nAnswer: 2, 29, 251, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 27 + 53 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52547.92 and -474?\nAnswer: 52073.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82330905 a multiple of 2895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192158.\nAnswer: 2, 96079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 7*g = 1768. Let w = 624 + g. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 10121?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -358743*a**4 - 58638*a + 2 wrt a?\nAnswer: -4304916*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*l**3 - 1 + 0*l**3 + 0*l**3 - 2*l**3 + (1 - 1 + l)*(-3*l**2 + l**2 + 3*l**2) - l**3 + 0*l**3 + 2*l**3 + 5*l**3 - 2*l**3 + 0*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0981446 or 1\/5?\nAnswer: -0.0981446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 1) + 4\/2. Let n(l) be the third derivative of l**6\/120 + l**5\/10 - l**4\/24 - l**3\/6 - l**2. Let o be n(-6). Sort -4, o, b in ascending order.\nAnswer: -4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c + 103. What is the units digit of t(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49813999.\nAnswer: 49813999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 6. Suppose 3*s - 8 = -o, 2*s - 4*o - 7 = 3. Suppose 0 = s*j - 8 - 4. Suppose 4*p - 3*p = j. Determine w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -7. Let w = l + -11. Let c = 38 + w. What is the remainder when c is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 13 = -2*o - 9, o = 2*c + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -4 + (-5)\/5 + 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35.1 - 35. Let i = 2\/29 - -23\/87. Put i, u, 5 in increasing order.\nAnswer: u, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 20, -4*l = -i - 17 - 3. Let p be (-24)\/(-8) + 1 + -2. Suppose -4*h - 2 = 3*n, -3*h + p = n + 6. Solve l*s - 2 = n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*g**2*y**3 + 264*g**2*y**2 + y**5 - 2*y**4 - 3 wrt y?\nAnswer: 912*g**2 + 60*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392 = -23*h + 484. Let o(p) be the first derivative of 1\/2*p**2 - 12 - h*p. Let k(b) = 3*b - 11. What is 6*k(a) - 17*o(a)?\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*o**4 - 171543*o**3 - 908517*o**2 wrt o.\nAnswer: 72*o - 1029258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 15*x**2 + 13*x + 19. Let m be k(14). What is the third biggest value in 0.2, 3, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(136)*-3)\/(sqrt(56)\/(-1*sqrt(7)))*-4)**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z. Suppose 4*q + z*q = 5*x + 111, -q = -2*x - 27. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2723 + -2709. What is the remainder when 2911 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-1))\/((-2)\/2). Solve 6 = -d*u - u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 13 = -6. Let o(r) = 24*r**3 - 3*r + 172. Let m(d) = -47*d**3 + 7*d - 345. Let y(t) = j*o(t) + 3*m(t). What is the derivative of y(i) wrt i?\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2429642 * 0.4\nAnswer: 971856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-36))\/((-3)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -19*a**4\/24 + 29*a**3\/3 - a**2. Let m be l(2). What is the highest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (0 + -2 + -2) - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = -7, 5*g - j = 67329. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 1, y: 1, s: 2, t: 1, l: 1}. What is prob of picking 1 t, 1 l, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -2\/7 (b) 279 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*a + 75*a + 2 = 0. What are the prime factors of (-93388)\/(-148) + (-1 - a) + -1?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*k - 466 + 496, 0 = -4*k - 5*b + 51. Solve k*c = -50 + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -646, -2931, -6740, -12073?\n\"Answer: -762*a**2 + a + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665d2 (base 14) in base 11?\nAnswer: 497549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.08 (b) -4 (c) -1\/4 (d) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102404144 to the power of 1\/3, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let c(t) = 6*t**2 + 10. Let d(k) = c(k) + 6*g(k). Differentiate d(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 52 = 2*h, i + 12 - 42 = -h. What is the remainder when 57 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2192*o**2 + 7*o + 44754 with respect to o.\nAnswer: 4384*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3*d - 5. Let z(k) = 4*k**2 - 219*k + 159. Let f be z(54). Calculate i(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z = 3*k + 75, -5*k = -2*z + 65. Let x be (-3)\/3*(-3 - -4). What is the lowest common multiple of z and (x\/2)\/(4\/(-144))?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r + 25. Let v be f(-3). Suppose -v*l = -11*l + 10. Suppose -5*s + 30 - l = 0. What is the biggest value in -6, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/15 - 644824*w\/5 + 155924246616\/5 = 0. What is w?\nAnswer: 483618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + (-5 - -2) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 5, t: 3}. What is prob of sequence mt?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/9)\/(2\/9). Suppose 1 = 3*v - k - u, 0 = -4*v + 2*k + 16. Let c(q) = -5*q - 52. Let w be c(-11). Solve 5*g + w*h + 16 = 0, v*g - g - 3*h = -14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1984?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (2 + 1)\/(-3). Let x be 1*-1*(-2 + 0). Suppose q - 4*r - 31 = 0, -r = x*q - 9 - 8. What is the highest common factor of q and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*d + 22*d. What is c in d + 1\/4*c**4 + 0*c - c**2 + 0*c**3 = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 2*m)*(-2*m**2 + 2*m - 2*m) + 2*m**3 - 2*m**3 - m**3 - m**3 - m**3 + m**3 + (-2*m**2 + m**2 + 0*m**2)*(0 - 2*m + 0).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/21 + 3410\/1085. Let z be (-1)\/1 - -3 - -2. Solve -14 = h*o + 2*l, 2*o - z*l + 16 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 29*i**2 - 12*i + 35. Is f(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:53 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 3*t + 11*t)*(0*t**2 + 101*t**2 - 12*t**2 + 57*t**2 + 27*t**2).\nAnswer: 2768*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3739941 take away 24583?\nAnswer: -24588.3739941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 49, 50, 31, -14, -91, -206?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and -4*(4 + 15\/(-2))?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -c4?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) 2 (c) 1.9 (d) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 - 2*a - 21*a**2 - 90*a**3 - 15*a**2 - 57 + 41*a**2.\nAnswer: -90*a**3 - 14*a**2 - 2*a - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -413 - -3968. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-870)\/153) - (2\/(-4))\/(695\/(-417))\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 107994 and 1722.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*a + 22*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 877, 941, 981, 997, 989?\n\"Answer: -12*i**2 + 100*i + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 10434561?\nAnswer: 10434561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -5. Let c be v + 0\/((-6)\/3). Let z(i) = i + 3. Calculate z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8 (b) -35 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2873812.83 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 841?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-14.4160682\nAnswer: -2.88321364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 893 + -794. What is the greatest common divisor of 1584 and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/2*600\/(-540). Let n be 2 - 0 - (3 - -3). Let p be 0\/(1*(n + 3)). Sort a, 3, p, -2 in decreasing order.\nAnswer: a, 3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3314100*c**3 + 22*c - 4729 wrt c.\nAnswer: 19884600*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (0 - (-3 + -1))) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1989, -2087, -2367, -2919, -3833?\nAnswer: -5199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7105*u + 40411. Let q(z) = 1776*z - 10094. Let c(y) = 3*n(y) + 11*q(y). What is the first derivative of c(b) wrt b?\nAnswer: -1779","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -s + 2*d + 16, -3*s + 10 = -2*d. Suppose 8*o - s*o = -8. Let c be 5 + o*(-3)\/6. Solve -3*g = -g - 3*r - c, 2*r = g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4505013 + -2?\nAnswer: 4505011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2663532*y = 2663430*y - 102 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Express (88*d - 60*d + 34*d)*(2*d + 3*d - 3*d) in the form h*d + u + s*d**2 and give s.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.0074 plus 65133.946?\nAnswer: 65105.9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g**2 + 159*g - 1279. Let f(m) = m**2 + m - 1. Let y(n) = -f(n) - v(n). Let y(w) = 0. Calculate w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 185*s**2 + 10927*s + 208887.\nAnswer: (s + 49)**2*(s + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11139 and 7755?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/9714?\nAnswer: 1\/9714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/10)\/(-21 + (-4)\/(96\/(-648))).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 3)*(l - l - 2*l)*(-2 - 4 + 1)*(-5*l**2 + 6*l**2 + l**2).\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o - 15*o + 0*o - 8*o + 11*o.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -858 minus -5?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -b**3\/3 + 13*b**2\/2 + 44*b + 42. Let d(i) = -i**2 + i - 1. Let v(s) = -2*d(s) - p(s). Factor v(l).\nAnswer: 3*(l - 7)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**3 + u**2 + 2*u - 4. Let y be m(1). Let d(n) be the first derivative of -2 - 2\/3*n**3 - 6*n + 3*n**2. What is d(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897484 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 3. Let v be m(6). Let b = v + 30. Solve d + b = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175862 is divided by 494.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*3\/(-54))\/(16 + 1806\/(-112)). Which is the third biggest value? (a) q (b) 2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1347 and 8531?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4\/(24\/1266). Suppose 55*k - 48*k = x. What is the remainder when 119 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2. Let y be n(-3). Let w be (3\/y)\/(4\/(-60)). Suppose j - 573 = -4*s, w*s + j - 725 = -2*j. What are the prime factors of s?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-3\/17))*m**(1\/2) assuming m is positive.\nAnswer: m**(23\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 6:31 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 3*u + 2*u)*(-4*u**2 - u**2 + 6*u**2 + (0*u - 2*u + 0*u)*(2 - 2 - 2*u) + 5*u - 5*u + u**2).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35137940 + 17*o**3 + 17568968 + 17568972 - 11*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30049, 60098, 90147, 120196, 150245, 180294?\nAnswer: 210343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 13951135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyje when four letters picked without replacement from sjeyqssnysyes.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-1 + 0 - 3)*(-25*w + 5*w**2 + 29*w - 2*w**2).\nAnswer: -12*w**2 - 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 k when four letters picked without replacement from {k: 3, s: 5}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/3)\/(x\/x**(-13)) assuming x is positive.\nAnswer: x**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -30012212 bigger than -30012207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*n**3 + 235*n**3 + 56*n - 46*n - 36*n in the form t*n**3 + i*n**2 + g*n + s and give t.\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 - 26 + 28 + 6*x**3 + (-49*x**2 - 40*x**2 - x**2)*(-4 + 4 + x) to the form i*x + k*x**2 + s*x**3 + l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12285 is divided by 2457.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12473 - 12505. What is the smallest value in m, -6, 1.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 6*x - 30. What is the third biggest value in 0.4, 0.5, x, -5, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7651056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -174. What is the closest to k in 3\/10, 0, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 2 + (-130)\/40)\/(17\/102)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/((-4)\/36))\/(4\/12). Calculate the highest common factor of y and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - -1) + -2 + 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -415755.\nAnswer: 207877.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*4*10\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d**2 - 12*d + 6. Let l(y) = -y**2 + y - 1. Suppose 0 = 14*b - 10 + 24. Determine b*r(h) - 6*l(h).\nAnswer: 2*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639759437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (-14 - -49) - (1 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*f + 69881 = 0, 5*f - 57 = -17. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 + -1.98. Suppose -2*i - 4 = -0*n + 4*n, 0 = 4*n + i. Let p = 0.09 - 1.09. Which is the closest to n? (a) q (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9.330185 weeks?\nAnswer: 1567.47108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/1593100 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 51713 = -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 41361*f. Let z(j) = 724*j. Give t(z(y)).\nAnswer: 29945364*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5249736 is divided by 619?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/3087*2142\/68*(-122)\/(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68996411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -16*i**7\/7 - 34*i**3\/3 - 29. Find the third derivative of d(p) wrt p.\nAnswer: -1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from {o: 1, a: 1, b: 1, d: 3, p: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*c + 5297 - 5288, 5*t + 15 = 5*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 2*x. Let n be (-149 - -11)\/(2\/x). Let b = n - -414. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -5 (c) 31 (d) 2 (e) -0.004\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-8)\/(144\/(-2694)). Let n = f - 154. Let z = 4 - 1. Which is the biggest value? (a) 4 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**3 - 9*c**2 - 34*c - 75. What is the smallest common multiple of n(-4) and 2745?\nAnswer: 2745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (681\/(-2))\/((12 - -27)\/(-1170)).\nAnswer: 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - w + 4, 4*w - 46 = 3*o - 60 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730633 is divided by 288436?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 10*o - 31. Give y(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/10)\/(2143\/(-12858))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (-55)\/15*-3*2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4\/3))**(2\/7) assuming l is positive.\nAnswer: l**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**2 - 6*w - 37. Give a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 0 + sqrt(11) - (-1 + sqrt(11)*2).\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -1. Let r = 0 - -0.2. What is the third smallest value in -0.2, r, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 8:37 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 898 or 967?\nAnswer: 898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/9 and (-1)\/5 - 966\/20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/11 and -32\/326733.\nAnswer: 326733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/13)\/q**7*(q**(-1\/2))**7*((q*q**(1\/12)*q)\/q**(-3))\/((q**(-2\/9)\/q)\/(q**(-1)\/q)) assuming q is positive.\nAnswer: q**(-2971\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 0. Let n = 18 - v. Let d(y) = -5*y - n + 3 + 4*y. Let g(c) = 2*c**3 - 6*c - 6. Give -6*d(l) + g(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1880 - -1885. What is the highest common divisor of d and 2095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74423661 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*((sqrt(110) - (-1*sqrt(110) - sqrt(110))) + sqrt(110)))\/((sqrt(40)\/sqrt(4)*-4 - sqrt(10)) + (sqrt(90) + (-1*sqrt(90) - sqrt(90)))\/sqrt(9)).\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 - 274. Solve 5*m + 8 = -4*l, -2*l + m - 6 = -q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 + -67. What is the remainder when f is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 467*h*q**3 + 2100*h*q - 7*q**2 wrt q.\nAnswer: 2802*h*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l - 2 + 14 - l. What is the units digit of r(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/42767804 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107.845 + -108. Let x = -6.155 - c. What is the fourth smallest value in x, 1\/2, -0.4, -0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.088251 * -4.\nAnswer: -0.353004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424 + 2 + 2 + -4.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -332*t + 1385. Determine o(4).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 1, h: 1, o: 1}. What is prob of sequence bhbo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 + 17*o + 4. Determine t(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 6*f**2 + 2. Suppose -y = 2*p + 14, -4*p + p - y - 20 = 0. Let t be s(p). Solve -t*c = -3*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 4. Let g be p(0). Let x(c) = -2*c**3 - 5*c**2 + 3*c + 3. Is x(g) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 77\/5 of a day?\nAnswer: 22176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1022 + -0.1022. Let g = 4.5 + -4. Sort g, d, -11 in ascending order.\nAnswer: -11, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = y + 3397, 0 = -p + y + 1192 - 342. What are the prime factors of p?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131226.9 rounded to the nearest 100?\nAnswer: 131200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 57016877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49112 is divided by 24521?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/24 + p**2\/12 + 3. Find g such that v(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*s + 40, s + 3*t + 31 = -2*t. Let x = 2 - s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((5 + -14)*1)\/(-1). Determine a so that a**2 - 3*a - 4*a - 19*a**2 - 6 - 4*a - r*a - 4*a**3 = 0.\nAnswer: -3, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6*j = -j + 28, -3*l = -4*j - 28. Suppose l*x = 3*x + 5*g + 41, -3*x + g + 109 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 5. Let m(y) = y**3 - 6*y**2 + 8. Let n be m(6). Let k be x(n). Let d = k - -242. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*d**4*t**2 - 21*d*t**3 - 5*t**3 + 2*t**2 - 2307 with respect to d.\nAnswer: -860*d**3*t**2 - 21*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12606.44 + 12607. What is the second smallest value in -3, v, 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -354.1 - -380. Let v = -27 + a. Let i = 1.10048 + v. What is i rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79849321?\nAnswer: 3631, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4512.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4258520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w - 309 = -60*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 2*c**2 - 63*c**3 - 4*c**2.\nAnswer: -63*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/961 and 19\/9610.\nAnswer: 9610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 350*a + 2476. Give v(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ba (base 16) to base 5.\nAnswer: 12304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/4 of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, -0.4, 15, 64, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 + 3*f**2 - 12*f + 60\/7.\nAnswer: 3*(f - 2)*(f - 1)*(f + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q + 4. Suppose 0*h = -q*h. Suppose -37 = -5*w - h*n + n, 4*w = n + 30. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from khvnhhvnhhnnh?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2730913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from flllfglfljjlljujgll.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(19))**2 - (sqrt(38)\/sqrt(2))**2*3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5 - 13*w**4 - 7*w**3 + 11*w**2 + 11*w + 2 = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - 4.91. Let p = s - -5. Let h = p - 0.000006. What is h rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - -15672?\nAnswer: 15697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**37\/z)\/z)\/z*z)\/z*(z**(2\/15)\/z)\/z)\/(z**6)**(2\/15) assuming z is positive.\nAnswer: z**(94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilometer in meters?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 5*j**2 + 3*j - 3. Let m be g(-3). Calculate the highest common factor of m and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 106. Suppose 0 = 2*b - 428 + w. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 19*r**4 + r**3 - 2*r + 36. Let x(o) = -o**4 + o + 2. Let t(l) = 4*x(l) + y(l). Find the second derivative of t(g) wrt g.\nAnswer: 180*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 12. Let z be p\/3 - 4\/(-6). Suppose -a = z*q - 432, -5*q + 533 = -a + 4*a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/12 - f + 3. Let t(z) be the first derivative of r(z). Let u(c) = -3*c**2. Determine t(u(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 1:04 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*p - 164, -7 + 127 = 4*p + 2*v. Calculate the remainder when 89 is divided by p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*l - 10 + 34, 0 = 3*l - 9. Suppose -u - 2 = -0*u, 0 = i*v + u - 198. Calculate the greatest common factor of 75 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6940158 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6769, 3, -8 in descending order.\nAnswer: 6769, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/(-12) - -2 - 933\/18. Put q, 1, -5 in decreasing order.\nAnswer: 1, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 + -2.515. Let n = x - -162.115. Let a = -161.9999919 + n. Round a to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 1034. Determine r(-17).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1843 - -1842.5. What is the nearest to 0.12 in 4\/3, -4\/7, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b931b (base 13) in base 16?\nAnswer: -2718b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) - sqrt(2))**2 - sqrt(2))*6 + (-1 + sqrt(2))**2 + -1.\nAnswer: -8*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7720396 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1256 - -1?\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -8501196?\nAnswer: 19\/2833732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-14) - ((-9)\/(-21) - 1). Suppose 0 = -3*k + 4*w - t*w + 2, 0 = -4*k + 2*w - 4. Let s be (4\/12)\/(k\/18) + 97. What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*a - 721*a = 6000 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 4*z. Suppose 4*b + 20 = -2*l, 2*b = -5*l - b - 43. Let u(p) = -6*p**3 - 11*p. Give l*s(v) - 3*u(v).\nAnswer: 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 235340547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = y + 77 + 62, 293 = 4*j + 3*y. Calculate the remainder when j is divided by (6 + 2)*-3*-1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15842539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61826295?\nAnswer: 3, 5, 4121753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (7 + -9)) + 3 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7*i = -2*i - 24, 2*i - 8 = 0. Let u be (4\/(-60))\/(b\/(-10)). Let k = 0.01 - 0.04. Sort -0.1, u, k in decreasing order.\nAnswer: u, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -55. Let p be (k\/(-27))\/((-4)\/18). Suppose -3*t + 5*c = t - 73, -2*t - c = -19. What is the greatest common divisor of t and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, -0.5, -2, 6054, 3, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 685155.8 nanograms to kilograms.\nAnswer: 0.0000006851558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69322 and 23965678.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 3.1. What is the third smallest value in 0.3, d, 2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003961137 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.058 and -0.2.\nAnswer: 0.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (3 - 539\/91)*-13?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((297\/(-44))\/(-27))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:18 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*r + 345, 3*r - 2535*m + 2532*m - 216 = 0. What is the remainder when 587 is divided by r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s*x*z**2 + 2*s*x - 2*s*z**3 + 143*s*z**2 + 3*x*z**3 wrt x?\nAnswer: -s*z**2 + 2*s + 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.29 + 4.51. Let v = g - 5. What is the smallest value in 0.2, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -688107 and -688772 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, -462.7.\nAnswer: -462.7, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3571*s + 4*s**4 - 3570*s - 2*s**4 + 6 + s**3 to b*s + f*s**3 + c*s**4 + g + o*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 12*g = -14841. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 14*m**2 - m + 2. Let d be x(-3). Let z = d - 21. Let f = -25 - -35. Calculate the greatest common divisor of f and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 709 - 75. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -28557082?\nAnswer: 28557081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 69*w - 546. Give b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 77. Let z = 5 + s. Suppose -15 - 21 = -z*c. What is the nearest to c in -3\/4, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*a**3*p - 54*a**2 - 4*p wrt a?\nAnswer: -288*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -611.69 and 5?\nAnswer: -3058.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 616262 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2674 from 11.\nAnswer: 2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 3. Let n be m(-1). Let u(b) be the second derivative of 0 - 10\/3*b**3 - 16\/5*b**5 + b**n - 5*b + 16\/3*b**4. Factor u(q).\nAnswer: -2*(2*q - 1)*(4*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -1092921, 2 in decreasing order.\nAnswer: 5, 2, 0, -1092921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 607 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 23*z**6\/60 - 58*z**3\/3 + 17*z**2 + 2. What is the first derivative of n(i) wrt i?\nAnswer: 138*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*n + 76767, -28*b + 38394 = 2*n - 26*b. What are the prime factors of n?\nAnswer: 2, 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**2 - 430*f - 4800 = 0. Calculate f.\nAnswer: -10, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 8\/(-6))*-15. Suppose 18*u + 11 = 47. Suppose v = -u + r. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473.509l in millilitres?\nAnswer: 473509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 3 - (12 + 3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -227138*o**2\/15 - 119632304*o\/15 - 15752415008\/15.\nAnswer: -2*(337*o + 88748)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)*u)\/(u*u**(4\/5)))\/(u*u*u**(1\/3)*u)**(-6\/5) assuming u is positive.\nAnswer: u**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*w - 152, -2*d = -4*w - 116 - 80. Let m = w + 70. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-64)\/(-12)*((-83)\/(-2) + 2). Suppose 6*q - l = 2*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22016911800 to the nearest 1000000.\nAnswer: -22017000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i + 8906 - 4514 = 0 for i.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g**3 + 60*g**2 + 45*g + 5. Let f(v) = -19*v**3 - 59*v**2 - 46*v - 6. Let n(q) = -6*b(q) - 5*f(q). Factor n(o).\nAnswer: -5*o*(o + 1)*(5*o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/5 in 1\/5, 3, 2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 2. Give x(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (553\/(-237))\/7*9\/(-11)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.01, -10, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927.7001 rounded to the nearest ten?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:07 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1218570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) 1\/103 (c) -1 (d) -1\/3 (e) 0.2 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**3 - 16*g**3 - 4*g**3.\nAnswer: -38*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10 = o, 3*o = -4*w + 4*o - 4. Let h be (1*(1 + w))\/1. Let a(s) = 144*s**2 + s. Is a(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*i**2 - 1\/7*i - 1\/7*i**3.\nAnswer: -i*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 436*y - 437*y - 1 + 871*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 360*k**2 + 345*k + 710.\nAnswer: 5*(k - 71)*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:47 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2. Let q(r) = -r**2 + 2*r - 7. Let s(k) = q(k) + 2*w(k). Calculate the remainder when s(-7) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -39*f - 9. Let k(r) = -21*r - 4. Let a(p) = 6*i(p) - 11*k(p). Give a(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-32))\/((-1)\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*j - 76. Let i = j - 17. Solve -15 = -i*m + 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, b: 2, l: 7}. What is prob of sequence bbrl?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 4420*h + 976820.\nAnswer: 5*(h + 442)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 37 - 14 = 0. Suppose -3*s = 3*k + l + 19, k + 3*s = -20. Is -21\/2 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -125*x**4\/4 + 424*x - 500. What is the derivative of y(s) wrt s?\nAnswer: -375*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/13 + 8898*a**4\/13 - 44576*a**3\/13 - 160200*a**2\/13 + 641376*a\/13 = 0.\nAnswer: -4454, -4, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 157*a + 5467. Determine x(-34).\nAnswer: -1027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-6 - -8)) + 23 - (11 - 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -6 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -4*o + 16*o. Let u(r) be the first derivative of -11 + 0*r**2 - 3\/4*r**4 + o*r - r**3. Solve u(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from hyhtthhahytaahthahww.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6647724 is divided by 1274.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edddddddedvddqqddqd. Give prob of sequence qq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1)*o)\/o*o\/o**(3\/7)*o*o*o**(3\/8)*o*o\/(o*o*o**(-15)\/o*o))**(-30) assuming o is positive.\nAnswer: o**(-15915\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 6*c**2 - 6*c + 10. Let m(f) = f**2 + f - 1. Calculate -6*m(v) - s(v).\nAnswer: v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.4, 5, 3, 3\/2 in ascending order.\nAnswer: -13, -0.4, 3\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*i**6 + 424*i**5 + 929*i**3 - 5901516*i**2?\nAnswer: 960*i**3 + 25440*i**2 + 5574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6)\/((-144)\/123)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9274*x - 788308. What is q(85)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5 - q**2 + q**3 + 11*q - 9*q - 3*q**2. Let m be v(4). Solve a = -2*w - 2*w + m, 3*w - 3*a - 21 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, 9 in ascending order.\nAnswer: -4, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from yyaaaaeeayaaye.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -2044?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 1\/2, 15, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*v + 12569 + 22918, -3*i = -v - 26599. What are the prime factors of i?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*f, 15 = 3*o - 4*f. Suppose -2*m - 8 = 0, 2*m + 37 = o*r + 4*m. Determine y, given that -8*y - 2*y**3 + 3*y**4 + y**5 - 3*y**4 + r*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 6*n**2 - 2*n**2 + 11*n**2 as j + z*n + w*n**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -107, -0.4, 0.122, -0.1, -0.01, -0.5, 0.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(576)\/sqrt(12).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722803?\nAnswer: 269, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/480 - 4\/((-240)\/76868). Solve 120*r + 201 = b for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d - 1 = -102*d + 3*t, 5*d - 22 = -4*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 638118?\nAnswer: 7019298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*h - 28*h + 2004963 - 77063 = 0. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 369 + -368. Let b(z) = 7*z**2 + 2*z - 3. Let o be b(2). Suppose 5*i + o = 3*c, 5*i + 21 - 4 = -c. Solve -c*r - v = 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0641 and 3021.31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -6 - (2 + 4). Suppose -5*k + 1145 = 5*s, 2*s + 200 = j*k - 467. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 13*a**4\/12 - 3*a**2 - 18*a. Differentiate y(h) wrt h.\nAnswer: 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41 - ad4?\nAnswer: -b25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 829762751 to the power of 1\/2, to the nearest integer?\nAnswer: 28806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 20*c - 1. Let d be i(0). Let z be 5 - (-879505)\/(d + 0). What is z rounded to the nearest 10000?\nAnswer: -880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2 + (-14)\/6). Let a be 2 + 1 + 1 + t. Let n(c) = c + 10. Let u be n(-5). Calculate the greatest common factor of a and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*82\/(5412\/126)*-5?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 4*f**2 + 8*f**2 + (11 - 11 + 4*f)*(-3 + 3 + f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40145963?\nAnswer: 11, 13, 53, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9459899 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 5. Let g(s) = 16*s - 25. Let j(d) = 2*g(d) - 11*n(d). Let w be j(5). Solve w = 5*c + o + 13 + 4, 5*c + 32 = 4*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 18*b + 9 - 10*b + 4 + 235*b. Is f(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 56 = y. Suppose -4*d - c = -19, 0*c = -4*c + 12. Suppose -5*x + 13 = d*f, -15 = -3*f - 2*x - 0. What is the remainder when y is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -4. Solve -5*g - j = -2*c, 10 = -2*g - 0*c + 2*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8818587 divided by 2939529\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7)*a)\/a)\/(a\/((((a\/(a**(-2\/5)*a))\/a)\/a*a)\/a)))**(-8\/13) assuming a is positive.\nAnswer: a**(384\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3079 divide 1147845042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005081 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -161*l*t**4 + 4*l*t + 39*l - 10728*t**2 + 320*t - 3 wrt t?\nAnswer: -1932*l*t**2 - 21456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33\/4, 1.2, 0.5, -0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 30.011, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1830546 and 1.\nAnswer: 1830547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 2*o**2 + 5*o**2)*(-3*o**2 - o**2 + 5*o**2) + (-3*o + 0*o - 5*o)*(-3977*o**2 + 20*o**3 + 3977*o**2).\nAnswer: -158*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3\/2 - 3*i + 3. Let f(q) = -q**2 + 3*q. Determine s(f(t)).\nAnswer: 3*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1288481 divided by -37.\nAnswer: 1288481\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 + -76. Let r(i) = -2*i**2 + 3*i + 3. Calculate r(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oon when three letters picked without replacement from nonoooonoooooooono.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 - 15*t - 33. Does 44 divide z(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 7*r**2 - 4*r + 5. Let k be d(6). Put k, -4, 5, -3 in ascending order.\nAnswer: -4, -3, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 25 - (0 - 115)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443674 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33896 is divided by 4841.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - g = -2, -2*g - 6 = -5*g. Solve r = -3*h - 3*c, -1 = -3*h - 4*c + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 266?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 + -2 + (8 - 3) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235 + 241. Let w = -13 - -8. Let r be 64\/10 - (-2)\/w. Calculate the highest common divisor of c and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7526, -15508, -23490, -31472, -39454?\n\"Answer: -7982*q + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132 divided by 44\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211537, -423069, -634599, -846127, -1057653, -1269177?\n\"Answer: j**2 - 211535*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + -2. Let k(d) = d**2 + 7*d - 2. What is the units digit of k(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t + 22 + 245)*(34*t**3 + 74 - 74)*(-2*t + t + 0*t).\nAnswer: -34*t**5 - 9078*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -14, -1, 3.\nAnswer: -14, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*u + 608*u = 17493 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1924122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53614.\nAnswer: 2, 11, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 3:52 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**3 - 9*v**2 - 196*v - 235. Let g(q) = -5*q**3 - 4*q**2 - 98*q - 117. Let t(c) = -9*g(c) + 4*h(c). What is the derivative of t(b) wrt b?\nAnswer: 3*b**2 + 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1227 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 11*w. Suppose -3*l = -27 - 6. Let v be m(l). Suppose -f - 20 = -2*d - v*f, 0 = -4*f - 16. Calculate the greatest common divisor of 88 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/6504 and 89\/54.\nAnswer: 58536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*s = 19 + 3, -3*j + 7 = -4*s. Let w be ((-1)\/j)\/((-2)\/6). Let v = 546 - 546. Sort w, 3, v in ascending order.\nAnswer: w, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - u - 1. What is p(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3415 in 0.03, -0.07, -0.3, 4\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 57*v**2 - 158*v + 333. Determine g(-31).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5*1 + 8 + -11. Suppose x*w + 5*w = 35. Let b = w + 19. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103659.2566 rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/18 and -63\/1454524.\nAnswer: 13090716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-2)*15278\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 2. Let z be 27\/(-6) - (-12)\/24. Let w(h) = h + 2. What is z*o(f) - 5*w(f)?\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdzd when four letters picked without replacement from {d: 2, t: 3, m: 2, z: 9}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10240*d**4 - 142*d + 46310203.\nAnswer: -40960*d**3 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -60400?\nAnswer: 60341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(((-2)\/(-3))\/(6\/9)). Let l(h) = -4*h + 14*h - 9*h + n - 10*h. Determine l(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.1, -19\/11, -2\/5?\nAnswer: -19\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 6, 5, -0.049, 38?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 4*g + 5. Let b be q(-3). Find the third derivative of -b*z**5 + z**2 + 2*z**5 - 2*z**6 + 0*z**2 wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-432)\/(-1512))\/(13\/(455\/200))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*o + 37 + 10 - 10*o wrt o.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*x**3 - 3*x**3 - 8*x**3 - 6*x + 14*x**2 - 4*x**3 - 6*x.\nAnswer: -2*x*(x - 6)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 666, 36, 26 in descending order.\nAnswer: 666, 36, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-189))\/(-1))\/(88\/1056).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 11. Determine k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(117)*-3)**2*3 - 4*((-2*sqrt(39)\/sqrt(3))**2 + sqrt(13))*6.\nAnswer: -24*sqrt(13) + 1911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4 + 6. Suppose -3 = g*d + d. Sort d, -4, 1 in descending order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2853 and 3155418.\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -0.4, -0.1, 130.9, -4, 17.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 1289 = -2*l - n, -2*n = -l + 642. Is l a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -246, -242, -226, -192, -134?\n\"Answer: q**3 - 3*q - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6b9 (base 14) to base 2\nAnswer: -10100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 1.1. Let i = 29.8 + -30. Suppose 0*y + s = 2*y - 6, 0 = 2*y + 2*s. Which is the nearest to i? (a) y (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + (-3 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 264883 + -263749.77. Let l = -1149 + j. Let y = l - 0.23. Which is the smallest value? (a) y (b) -2\/3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38476 = 3288*w - 73316 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/11)\/(744\/(-1023)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15 - -29)*(46\/14 - 3). Solve -m*d - d - 3*i = 0, d - 2 = -i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -6)\/(12\/2 + 693\/(-105))\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*r**3 - 14085450*r**2 - 18780564*r - 6260184.\nAnswer: -3*(r + 521682)*(3*r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12*b**2 + 3*b + 4. Let i(v) = -11*v**2 - 2*v - 3. Determine 4*i(q) + 3*x(q).\nAnswer: -8*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - (-7 - -5)) + -3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.2 rounded to the nearest integer?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 7930 + 1504. Calculate the highest common divisor of z and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = -2*g, -7*r + 2*r + 10 = 5*g. Let a be (r - 2\/3)\/((-12)\/(-48)). Let 0 - a*b + 2\/3*b**2 = 0. What is b?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195 and 1665.\nAnswer: 21645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s + 21 + 73 - 8*s + 0*s + 8 as c + m*s and give c.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32112 and 1136385.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (-64 - -67)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 74 = 6. Solve 3 + r = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1131.\nAnswer: 5\/1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23868 and 137343.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28, 80, 132, 184?\n\"Answer: 52*j - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 723 + 4?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2\/13 (c) 5 (d) -2\/9 (e) 6\/227 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 6) to base 9\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133676\/(-3519) + 14 + 12 - 36\/(-3)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-2) + (-2 - -9). Let c(f) = f**3 - 6*f**2 + 4*f. Let w be c(a). Sort -3, w, 3.\nAnswer: w, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 2:33 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/21 + 8\/7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*l + 3724 = 548*l for l.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 18.1. Let m = 1.1 + o. Let g be 12\/(-9) + (-15)\/(-10). Which is the nearest to m? (a) g (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293358 + 91038 = -48*n. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**3\/6 + m**2 - 3*m. Suppose -12 + 10 = c. Let j be c\/7 - 156\/42. Give k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 8402225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s - 1. Let u be k(-8). Let j be (32\/u*6)\/(2\/(-1650)). Round j to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -706249 + 706252. Suppose d + 2*d - 60 = 0. Suppose -4*y = 4*x - d, 0 = -4*x - 2*y - y + 16. Put -4, 4, n, x in ascending order.\nAnswer: -4, x, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/45 - n**5\/30 + n**4\/36 + n**2 - 166*n. Find g such that s(g) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -159003*h**2*q**3 + 33*h**2*q**2 + 40*h**2*q - 548*h*q**3 - 15*h*q**2 + 2*q**3 + 3*q**2 + 28*q wrt q?\nAnswer: -954018*h**2 - 3288*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19407.6693 rounded to the nearest 10?\nAnswer: -19410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50\/9 or -37623?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 6*a**2 + 11*a - 7. Let j be d(4). Suppose -5*m + 6215 = j*p, 5*m + 0*m = -p + 1259. Is 64 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*g - 10. Let d(u) be the first derivative of u**2 - 3*u - 126. What is the lowest common multiple of 6 and d(g)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.44 - -1.67\nAnswer: 22.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 13*k**2 - 26*k + 118. Let l be a(9). Let s = 587 + l. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (1 + 0)) + (68 - 56) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*w - 203*w + 45*w - 47*w)*(-5*w**4 - 2*w**4 + 4*w**4)*(-4 + 0 + 3).\nAnswer: -732*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2108857, -4217638, -6326419?\nAnswer: -8435200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 123.7389 litres?\nAnswer: 123738.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 5*o - o + 3*o + 0*o + (0 - 2 + 1)*(0*o - 3*o + 2*o) - 2*o + 2*o - o)*(3*o + 3*o + o)*(-5 - 3 - 3*o**3 - 5).\nAnswer: -84*o**5 - 364*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**5\/6 + 11*t**2 - 6*t. Let s(a) be the first derivative of a**2 - 2. Give w(s(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14656663*r**3 - 45*r + 228496.\nAnswer: 87939978*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1262617465 plus 1.4?\nAnswer: -1262617463.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:42 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -768113*-0.4.\nAnswer: 307245.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 8*o + 4*w = -58408, 4*o + 3*w = 58415. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.84 + 0.16. What is the smallest value in m, 4\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 9*p**2 + 7*p - 8. List the prime factors of u(9).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12 + (-2 - 2) + 1. Suppose 3*z - 84 + f = 0. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, -7, 5, -177.\nAnswer: -177, -7, -5, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -89 times -8\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -519, 18458 in descending order.\nAnswer: 18458, 2, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) -1\/3 (c) 130.4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 4*u - 8*u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.003863 * -0.16\nAnswer: -0.00061808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13824410 and 219282?\nAnswer: 13605128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6 - -5 - (23 - 6 - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, 3, -0.69, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4.04. Let h = 0.12 + 54.88. Let w = -50 + h. What is the second biggest value in -0.1, b, -5, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 172.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65129648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*q**2 + 1)*(-4*q + 4*q + q + (3 + 3 - 1)*(2*q - q - 2*q)).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 105. Let q be i(-3). Suppose -2*c - 4 + 2 = 0. Let k be (1*-3)\/(c\/3). Calculate the greatest common divisor of k and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**2\/2 - 2*m + 5. Suppose -4*r + 2*r + 4 = 0. Calculate a(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2260, 2265, 2282, 2317, 2376?\n\"Answer: l**3 - 2*l + 2261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 11:23 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 77, -4, 0.5, 0.4, -6.\nAnswer: -6, -4, -0.4, 0.4, 0.5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*u = 3*u + 38, c = 4*u + 16. Suppose -j + 3*p = -c, 3*p = -2*j - p - 4. Solve -j*s + 1 = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -430779.3.\nAnswer: -430779.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + ((sqrt(1216) + 0)**2 - sqrt(19)))*2.\nAnswer: -2*sqrt(19) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrarrrrrraarr. Give prob of picking 2 r and 1 a.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3031 + 3027. What is the third biggest value in x, -14, -2\/13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 748 + -747.8. Which is the closest to -0.06? (a) 0.05 (b) r (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1771 = 43*a + 1427 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38936119 is divided by 12978702?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -135051, -135021, -134969, -134895, -134799?\n\"Answer: 11*s**2 - 3*s - 135059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11976?\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + (-36)\/(-4))*1. Solve -w*k = 11 + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 624*g**2 + 1752*g + 68941. Calculate j(621).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - m**3 + 0*m**3 + 9*m + 10*m**2 - 8. Let f be h(8). Suppose f*y + 6 = 3*y. Let u(c) = c**2 - 4*c + 2. What is u(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 4*s, -4*s + 0 = -3*b + 4. Suppose -5*t - b*g + 6*g + 6 = 0, 5*t - 4 = 3*g. Suppose 0 = -2*i - t*i + 28. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -38.2. Let f = 0.8 - m. Which is the third biggest value? (a) 0.3 (b) f (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3336363 to the nearest integer?\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -3)\/((-10)\/(-2)) - 5044\/33150*-5?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(-1*-2*sqrt(10)))\/((sqrt(288) - sqrt(288)*4)*-5).\nAnswer: sqrt(2)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6*1)\/(-359 + 384 - (-3746)\/(-150))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82016.7 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 903.262 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206 - 204 + 406 - 2*o**2 to c*o + g*o**2 + w and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -28*c + 2079. Give u(74).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*s - 3*s - 3, a = 4*s - 5. Let j(u) = 2*u + 2. Calculate j(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24983, -25929, -26875?\n\"Answer: -946*v - 24037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 - 3*r + 9. Suppose 3*d = -0*d. Suppose b + 4*b - 80 = d. Calculate the remainder when v(4) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j - 1. Let g = 27 - 7. Let c(a) = -9 - 12 + g + a + 5*a**2. Give -c(n) + 3*w(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away 315?\nAnswer: -313.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204420 - 24?\nAnswer: 204341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-155*s**3 - 13*s**3 - s**2 + 901*s**3)*(5 - 2 + 0 + (-6 + 4 + 4)*(-2 + 7 - 1)) in the form m + x*s**2 + b*s + q*s**3 and give q.\nAnswer: 8063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731724.\nAnswer: 2, 3, 7, 31, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129117873.\nAnswer: 3, 17, 1249, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 5*r - 2500, 4*n + 2006 = 2*r. Is (-5)\/30 + n*(-20)\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 10*f - 35. What is the remainder when v(-9) is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.7 - 15.6. Let r be (-39)\/(-90) - (-2)\/(-6). What is the closest to n in -5, r, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/278, -439852, 2\/7 in increasing order.\nAnswer: -439852, -1\/278, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 1. Let i be s(-1). Suppose 3*p - w = 54, 0*p + 4*w - 73 = -5*p. Let m = 17 - p. Solve i = -a - m*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/((-23760)\/72))\/((-1)\/141).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2929*w**2 + 111. Give m(0).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m + 1694 - 3371 = 0 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.1, -90\/11, -1\/3, 5\/4, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1049*j**2 - j + 2. Let k(t) be the second derivative of t**3\/6 + 1646*t. Calculate g(k(q)).\nAnswer: -1049*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 38*u + 128*u + 175 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*s - 7 = 0, -2*s = -5*t - 4*s + 22. Suppose 4*z - 3*i = -0*i + 28, t*i = 0. What is the remainder when 11 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p + 2. Let g(n) = 49*n + 11. Let y(a) = -2*g(a) + 11*m(a). Let c(l) = -533*l. Give y(c(o)).\nAnswer: -533*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.7 times -1?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*w**2 - 40935 + 40935 in the form j + p*w**2 + d*w and give p.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837373325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 11:59 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/37 (b) -1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - v + 59 = 0, -4*v + 55 = 5*x + v. Suppose 311 + 31 = 3*f. Let s = 258 - f. What is the greatest common factor of s and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72\/5 - 287\/20. Let d(l) be the third derivative of 0 + 1\/120*l**6 - 1\/4*l**4 + 0*l - l**2 + 1\/3*l**3 - b*l**5. Calculate d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3844*s + 3388*s + 912 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -227579.8624544 and 1.53?\nAnswer: 227581.3924544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*f - 48, 8 = 2*w - 6*w. What is the third derivative of f*h**3 + 3*h**2 - 4*h**2 - 5*h**2 + h**2 wrt h?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/56)\/(32\/112)*72. Let x(q) be the first derivative of 29\/2*q**2 + 1 - d*q. Find the first derivative of x(s) wrt s.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a**2 - 12 + 12. Suppose -14 = 2*t + 2*g, 19*t + 4 = 22*t - 2*g. Let k(w) = 3*w**2. Determine t*k(p) - 3*v(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p + 3*p**2 + p**2 + 3*p + (0 - 2 + 3)*(3*p**2 - 2*p + 2*p).\nAnswer: 7*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 13. Let m be 74\/q*15\/(-10). Suppose -5*g - 12 + m = 0. Calculate the highest common factor of 40 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 5*c + 15. Suppose 0 = 3*g - 6*g + c. Suppose s - g*s = -196. Calculate the highest common divisor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 3\/2 (c) -4 (d) -0.08 (e) 5 (f) -199\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 73 = -233. What is the greatest common divisor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 86. Let q be (1\/2)\/((-3)\/j). Does 5 divide 4 - 2\/1 - q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((f*(f\/(f*f**(-2\/7)*f))\/f)\/f))**(2\/7))**(2\/41))**(-2\/45) assuming f is positive.\nAnswer: f**(-152\/90405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4441, -8880, -13319, -17758?\n\"Answer: -4439*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -2*c - 44. Let f = c + 1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o - 6. Let x(t) = -12*t + 5. Let z(s) = 3*s - 1. Give o*x(b) - 9*z(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 5) + 6 - (-6 + (3 - -2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from sjjhhhssshhdd?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 3*u + 2. Suppose 0 = 4*x + 2*r - r + 6, -2 = -r. Let v be q(x). Solve -v*f - 4 = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14 + 17 - (32\/10 - 0). Sort 8\/7, 0.2, 4\/5, l in decreasing order.\nAnswer: 8\/7, 4\/5, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 281 + 1042 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 z when three letters picked without replacement from iiiiziiziiziii?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1.5, -0.07, -0.0451, -1\/11, -2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**3 + 2*f + 2. Suppose -k = -4*k. Let n = 3 + k. Let v(m) = -4*m**3 + 3*m + 3. Let b(c) = n*v(c) - 4*g(c). What is b(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k - 18. Let z = -2.99 + -0.01. What is the second biggest value in z, k, 2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4063*s**3*z**3 + 721940*s**3*z**2 + 6*s**3 - 639*s*z**3 wrt z?\nAnswer: 24378*s**3 - 3834*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162 - -801. Suppose -5*y + c = 5 - 19, 5*y + c = 16. Suppose 4*u + 840 = 4*g + 6*u, b = y*g - 3*u. List the prime factors of g.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 185. Let o = h - 64. Calculate the remainder when 36 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.4 + 39. Put 1, -0.5, o in increasing order.\nAnswer: -0.5, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p**2 - 14*p + 22. Let y = -2 - -12. Let v be l(y). Suppose -14*o = -5*o - v. Calculate the remainder when o is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 725158, 725243, 725326, 725407?\n\"Answer: -t**2 + 88*t + 725071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 360*b + 69. Is w(5) a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**2\/2 + 7. Let v(q) = -6*q + 3. Let l(h) = 5*k(h) - v(h). Let z(g) = g - 4. Calculate 3*l(a) - 2*z(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*w + 3*k, 1 - 23 = -4*w + k. Suppose 5*o + w*o**2 + 34*o + 10*o + 48 - 5*o**2 = 0. What is o?\nAnswer: -48, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 15*b**2 - 8*b - 3. Let v be s(-2). Let n = 1821\/25 - v. Suppose 3 = 3*o - 0*o. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(420)\/sqrt(40) + sqrt(42))\/(sqrt(6) - ((sqrt(6) - (sqrt(6) + sqrt(6) + 2*sqrt(6) + sqrt(6))*2) + sqrt(6))).\nAnswer: sqrt(7)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.513 + 2723\nAnswer: 2723.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - m**2 - m. Let l be r(2). Let f = -6 - -1. Which is the nearest to -2\/7? (a) l (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8134 - -8134. Let g(h) = -h**2 + 6*h - 2. Calculate g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8390 < 21312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.97, -20, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**2 - 9*l**2 + 8*l**5 + (4*l - l - l)*(-14*l**4 + 14*l**4 - 38*l**4).\nAnswer: -68*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 - 128*c**2\/7 - 1882*c\/7 + 4292\/7.\nAnswer: -2*(c - 2)*(c + 29)*(c + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 11*d**2 + 4*d + 37. Let f = -60 + 148. Suppose 0 = -7*o - f + 11. Let h be k(o). Is -7 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17825 + 30460. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -43. Put -1, -0.3, 5, m in descending order.\nAnswer: 5, m, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -983371, -983263, -983117, -982915, -982639, -982271, -981793?\nAnswer: -981187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 4*n + 22. Let p be a(-11). Suppose r - 27 - p = 0. Calculate the greatest common divisor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 1, f: 1, z: 1, a: 2, o: 2}. What is prob of sequence aba?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 735 = -205. Let f(q) = -3*q - 3. Let y be f(-2). What is z in 51*z**4 - 7*z + 2*z**3 + 4 - x*z**4 - y*z + 6*z**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21109549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t*t**(-1\/18)*t*t*t*t))**(-1\/28))**(-40))**(3\/34) assuming t is positive.\nAnswer: t**(-25\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 2*s - 1. Let u(f) = 39*f**2 - f - 3. Let w(q) = -u(q) + y(q). What is the second derivative of w(r) wrt r?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 5*r + 10. Let t be o(7). Let y be (0\/1)\/2 + 2. Let b(j) = -2*j - j**y - 2 - j - 2*j. What is b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.3, -0.2, -0.3, 1\/16 in ascending order.\nAnswer: -10, -0.3, -0.2, 1\/16, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3*i**2 - 3. Let w(p) = 1 - 299*p**2 - 1 + 303*p**2. Determine k(w(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 55 = 180. Solve 0*z + 2*z = 4, 0 = 3*q + u*z - 19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28862691 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4606, -4613, -4630, -4663, -4718?\nAnswer: -4801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34452\/90)\/22 - 6\/15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -413*x**5\/20 + 153*x**3\/2 + 2*x + 6. What is the second derivative of w(n) wrt n?\nAnswer: -2478*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**5\/150 - 5*i**2\/2 + 3. Let x(m) be the second derivative of b(m). Factor x(d).\nAnswer: -2*d**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2940 is divided by 286?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 5*x - 2*x + (1 - 4 + 4)*(-x + 2 - 2) - x + 2*x - 3*x + (-2 + 3 - 3)*(2*x + 0 + 0) + 0*x - 5*x + 2*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a, -o + 0*o = 3*a - 176. Let z = o + 172. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1, v: 1, x: 9}. What is prob of sequence vdx?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/(z*z**(2\/3)))\/z))**(-28)\/(z**(2\/9)\/z**(-1\/4)))\/(z**(-1\/4)\/z**(-1\/3)*z**(2\/3)*z**(-6)*z*z) assuming z is positive.\nAnswer: z**(-647\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 521 = -4*l + 3*d, 5*d + 5 = 0. Suppose -5*k + l = -20. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -69.8. Let j = -12.2 + f. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 11*c - 11*c + 27*c. Let p(x) be the first derivative of -x**4\/12 - 3*x**2\/2 + 12*x - 41. Let l(m) be the second derivative of p(m). What is g(l(j))?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, and 1 b when three letters picked without replacement from {z: 2, a: 5, b: 1, s: 1, v: 9}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 + 20*u**2 - 29*u + 93. Give z(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 4*v)*(-2 + 2 + 4)*(-5*v - v + 3*v) + 4 + 4*v**2 - 4.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c**(-3\/8))**(-1\/16) assuming c is positive.\nAnswer: c**(-45\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {j: 3, r: 2, v: 2, g: 3, k: 2, q: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61619 - 37390. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276754447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -28\/127373?\nAnswer: -28\/127373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 + 5*p**2 + 4*p + 3. Let h(q) = 2*q + 35 + 2*q**3 + q + 4*q**2 - 33. What is 3*c(r) - 4*h(r)?\nAnswer: r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -51*s + 38*s. Solve 2*r + 16 = r + 3*b, -3*r + s*b - 13 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from gsgsssssssssfsfsf?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/896 and -27\/184.\nAnswer: 20608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11123 (base 5) to base 14.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3896847, 3896814, 3896761, 3896688, 3896595, 3896482, 3896349?\n\"Answer: -10*g**2 - 3*g + 3896860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - o - 150, -3*w = -0*w - 5*o - 442. Let s = -49 + -298. Let j = 361 + s. Calculate the highest common factor of w and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**4 + p**3 + p - 1. Let v(f) = 20*f**4 + 35*f**3 + 15*f - 20. Let t(a) = 25*s(a) - v(a). Factor t(d).\nAnswer: 5*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 316, 615, 910, 1201, 1488, 1771?\n\"Answer: -2*o**2 + 305*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x = -4*s + 17*x - 24, -2*s = 2*x + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1236 is divided by 1217.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*d**4 + 7*d**3 + 62*d**4 + 104*d**4 + 161*d**2 + 19*d**3 + 5*d**3 in the form v*d + o*d**2 + w*d**3 + p*d**4 + k and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -137\/7. Let r(w) = -w**3 - 4*w**2 + 4*w - 5. Let u be r(-5). Factor 2\/7*f**4 + 2\/7 + u*f**3 + 0*f - a*f**2.\nAnswer: 2*(f - 1)**2*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*i - 38516, -107*c + 109*c = i + 19274. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5419668.\nAnswer: 2, 3, 17, 31, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1450*w**4 - 1863*w**2 + 9*w. Let u(h) = -362*h**4 + 466*h**2 - 2*h. Let n(y) = 9*u(y) + 2*x(y). Find the third derivative of n(d) wrt d.\nAnswer: -8592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f - 5. Let t(z) = -1883*z**2 + 6*z + 30. Give -6*r(y) - t(y).\nAnswer: 1877*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 6\/3 + -19. Let s = 32 + d. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 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: Find r, given that 49*r**2 + 276911*r\/2 - 52281 = 0.\nAnswer: -2826, 37\/98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2*y, -3*k = -5*y - 124 + 132 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 356 divided by -4?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2414.05 and -1429.\nAnswer: -3843.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(165))\/sqrt(11))\/(sqrt(3) + sqrt(243) + (sqrt(243) + 1*sqrt(243) - sqrt(243))))**2.\nAnswer: 20\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/4 - q**3 - 7*q**2\/2 - 7*q. Let v(b) = 10*b**3 - 11*b - 13. Let x(l) = 11*d(l) - 6*v(l). What is x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -114 (b) 1.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 2*d**2 - d + 1. Let o(h) = h**2 - 2*h - 5. Let f be o(4). Suppose -f*w = w + 8. Determine l(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 145\/(-58)*(-3 - -5). Let d be (-6)\/(-3)*(-2)\/(-4). Let l = 0 - d. Which is the closest to -4? (a) l (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a - 42*a + 106*a as z + i*a and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 1, j: 2, y: 1, d: 2}. Give prob of picking 1 d, 1 u, and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*w = -12, 8*t - 2*w = 3*t + 24. Suppose -38 = -5*j - 4*l, -2*l - 34 = -5*j - 8. Let x be 2 - (1\/3)\/(j\/36). Solve x = -o + t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 4:04 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 590 and 61672523.\nAnswer: 616725230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 12957695*c - 38873040.\nAnswer: -5*(c - 2591536)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200055864.\nAnswer: 2, 3, 17, 19, 131, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**3 + 13*x**2 - 6*x - 330. Let g(q) = -q**2 + q + 1. Let r(k) = -6*g(k) - z(k). What is the derivative of r(t) wrt t?\nAnswer: -27*t**2 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2 + 6. Differentiate 1 - 6 - 3 + 2*l**3 + v wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 847\/9 + -94. Calculate the common denominator of t and 7\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318119 is divided by 2840?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + -1 + 10*1. Suppose n*y - 768 = y. Calculate the greatest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = -61*b + 563 + 327 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t. Let q be f(3). Suppose 5*s - 5*r - 25 = 0, -r + 5*r = -5*s + 25. Solve -10 - 5 = -s*y, 2*b = 2*y - q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -5 + 10\/(-4) + 2. Let g(r) be the third derivative of -k*r**3 + 0*r - r**2 + 1\/30*r**5 + 0*r**4 + 0. Differentiate g(n) wrt n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwrwwrruu. What is prob of picking 2 w and 2 u?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 420418057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2 + sqrt(405) + sqrt(405)*-3 + -2)*2 + -5 + 4 + -3)**2.\nAnswer: 576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 0*s + 28 - 11*s + 35*s - 26*s**2. Let m be b(25). Solve 4*l + 3*x - 35 = 0, m*x + 3 = -5*l + 43 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 3*n**3 - n**4 + 0*n**4 + (-2*n + 6*n - 3*n)*(14*n**3 + 2*n**3 - 3*n**3) + 3*n**4 + 7*n**4 + 6*n**4.\nAnswer: 28*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 70 = 1134. Suppose -o + 109 = 3*k. Let w be (276\/k - 3)*(-8)\/10. What is the highest common factor of w and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2132*j + 51170. Let n be i(24). Let c(m) = 7*m**3 + 1. Let r be c(1). Solve n*o - r = 0, l + o = -0*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:57 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 32 = -5*h. Suppose -4*i + 72 + h = 0. Let v = -18 + i. Solve -11 = v*f + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*g**2 + 216*g**2 + 15*g**3.\nAnswer: 15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 3 - 1)*(-9 + 9 + 4*a**4) to q*a + m + f*a**3 + j*a**2 + n*a**4 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92*(-58)\/(-3335)*20\/2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 349\/132 - -34\/165. Suppose -15 = -3*v, -58 = 5*f - 3*v + 32. Calculate the common denominator of ((-5)\/(-22))\/((-1)\/f) and j.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 - 1. Let b be d(-1). Sort b, 13, 5, -1 in descending order.\nAnswer: 13, 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b - 2*b)*(32*b + 8*b - b)*(-172 + 172 + 34*b).\nAnswer: -1326*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 245703, 245700, 245697, 245694, 245691, 245688?\n\"Answer: -3*a + 245706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 4*i + 2*i)*(-1 + 6 - 3)*(-4*i**2 + 0*i + 0*i)*(-i - 5*i + 3*i).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105 + -41. Suppose 17*p - 13*p = a. Let l(i) = -i - 2. Let q be l(-7). Solve 5*g + b - p = -3*b, -b - q = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 532770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -89*q + 1. Let b be n(-1). Calculate the common denominator of b\/66 + 3 + -1 and 12\/8*(-43)\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 - 4*a**2 + 3*a + 2. Let h be b(3). Suppose 0 = 4*k - 26 - 6. What is the highest common factor of k and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213000 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1505, -5.\nAnswer: -1505, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(0 + 0 - 2)*(-d**4 - 5*d**4 + 3*d**4).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108) - (1 + sqrt(3)*-2))**2 + 5 + 0.\nAnswer: -28*sqrt(3) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) -0.3 (c) -1 (d) -1\/2 (e) -2\/15 (f) -0.5306\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 0.5 (b) 5\/3 (c) -0.07 (d) -166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 2*n + 1. Let m be c(-2). Let t be m\/(-15) + 224122\/(-10). Let k = 1588 - t. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 5:07 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*f + 3, 3*f + 38 = z - 5*z. Let w be 1\/(21\/z - -2). Factor p**3 + w*p - p**2 + 0*p**3 - 13*p.\nAnswer: p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**3\/6 + 9*i**2\/2 - 2*i. What is the units digit of q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 - 2*t**5 + 2*t**3 + (-t**2 - 2 + 2)*(-2*t**3 - 5 + 5) + t - t + 2*t**5 + (-2*t - 3*t - 3*t)*(-t**3 + t**3 - t**4).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85 + 112. What is the highest common factor of p and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176.1 rounded to 0 dps?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:21 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - (-4 - 33)) + 56.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*o - 35 = 0, 6 = -3*o - 3. Let t be q\/(-40) - 1962\/(-48). Which is greater: 39 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*n**2 + 22*n**2 + 194 + 20*n**2 + 14*n**2 in the form l*n + w + r*n**2 and give w.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-1624)\/(-552))\/((-19)\/57)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376673?\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from gyhcaxy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 892406144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57134963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4956469, 4956511, 4956555, 4956601, 4956649, 4956699, 4956751?\n\"Answer: u**2 + 39*u + 4956429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - q**3 - 4 + 0 + 14*q**2 - 7*q**2. Let r be (-86)\/129 - (-164)\/(-6). Let k be r\/(-6)*42\/28. What is b(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b - 19707 = -129465. What are the prime factors of b?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 14*m - 116. Determine u(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -280 times -0.1\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 587130336 to the nearest integer?\nAnswer: 24231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**3 - 51*h + 26*h + 30*h - 2)*(0 + 3*h**2 + 0).\nAnswer: 9*h**5 + 15*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 6) to base 4\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-2 + (-2 - -2)). Solve 11 = 5*l + 3*u - u, 4 = -h*l - 5*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 + 415. Suppose -257 = -5*g - 3*h - 10, -3*h = -3*g + d. Suppose 3*n + 2*i - 106 = 0, g - 8 = n - i. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*m - 2 - 1 + 3 as r + z*m and give z.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 32*z**3\/3 + 14. Let r(h) = 2*h. What is x(r(u))?\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 143a (base 11) in base 4?\nAnswer: 131002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/4*(-6)\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(495)*2)\/sqrt(9) + (sqrt(2695)*1 - sqrt(2695) - sqrt(2695)))\/(sqrt(176)\/sqrt(4) + sqrt(891)*1) + -5.\nAnswer: -8 - 5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 58. Suppose -s + 5*s + u*i - 80 = 0, s = 3*i + 20. Let h = s + 12. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-6)\/(-2)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4133923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-24)\/(-2)))\/((-27)\/1134).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14049360 is divided by 1596?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 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 -1149.4776 rounded to 0 dps?\nAnswer: -1149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9534 divided by 227?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2937153 to the nearest one thousand.\nAnswer: -2937000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 2, 13 in ascending order.\nAnswer: -0.4, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, 5, -0.4.\nAnswer: -0.4, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671479186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m**3 - 4377*m**2 + 5345*m + 131158. Determine o(1093).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83667\/4 - 3\/4*n**2 - 501\/2*n.\nAnswer: -3*(n + 167)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 111. Let r = h - -79. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 1. Let o(z) = -z**3 + z**2 + 7*z - 4. Let v(h) = -2*d(h) - o(h). Let g = 246 - 242. Determine v(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**14\/(l*l*(l**(-2)*l)\/l*l))\/(l**(-1\/2)\/l**16))**(-3\/19))**(-21\/4) assuming l is positive.\nAnswer: l**(3717\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -5 + 3*w + 13 + 0*w. Let m(t) = -t**2 - 4*t + 3. Let o be m(-3). Is l(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5030, -20023, -44974, -79877, -124726, -179515?\n\"Answer: s**3 - 4985*s**2 - 45*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/84 + 11*h**6\/60 - 9*h**5\/8 + 27*h**4\/8 - 9*h**3\/2 - 2*h - 3623. Factor k(p).\nAnswer: -p*(p - 3)**3*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -1.1, -87, -7.5 in increasing order.\nAnswer: -87, -7.5, -1.1, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*d - 4725 = 341*d + 288*d for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 4 - (-2 - 0). Let g be (w\/10)\/((-6)\/10). Which is the nearest to g? (a) -0.1 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 5) to base 9.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -317650654\nAnswer: -158825327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, a: 6}. Give prob of sequence anna.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (3 + 0)) + 3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - -9 - -2 - -8 - 17 - (-2 + 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 8952*w**2 - 8943*w + 17898.\nAnswer: -3*(w - 1)*(w + 2)*(w + 2983)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 0.1, -2, -38\/1877, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24225043 (base 6) to base 14.\nAnswer: 15d0c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -2, -5.\nAnswer: -7, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 48*p - 40 = 0. Let l(r) = -2*r - 3. Let n be l(-5). Let j = 15 + -16. Which is the smallest value? (a) j (b) n (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/23))**(-6\/13)\/((y\/(y\/(y**(-14)*y*y))*y)\/y)**21 assuming y is positive.\nAnswer: y**(75372\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8 - -0.8. Let i = -18 + 18. What is the nearest to i in j, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -18.35.\nAnswer: -5.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**3 + 6*h - 6*h - 8*h**3.\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036048866 to six decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-1)\/(10\/(-4)). Let i(x) = -x**2 - 6*x - 6. Let p be i(-5). Let y = p + 2. Put b, y, 2 in ascending order.\nAnswer: b, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238+0.529042241\nAnswer: -237.470957759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 230*v**3 - 1 - 28 - 29.\nAnswer: -230*v**3 - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -41.\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 35. Let s = 9 - b. Let n be 2 - 1\/(-4)*-7. What is the nearest to n in s, 0, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j**2 + 269*j + 144. Give f(-11).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 9*h**2 + 9*h - 5. Calculate r(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2.4. Let m = -0.1 + p. Let v = m - 0.4. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 171 - 169. Which is the smallest value? (a) i (b) 4 (c) 6 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -0*n - 27. Let d be 104\/6*n\/(-2). Suppose d - 6 = 4*g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.8 (b) -0.3 (c) 3\/227 (d) 0 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508 - 258 + 20208*j**2 - 250 + 1174*j**2.\nAnswer: 21382*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 762004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 18*y**2 - y + 23. Let z(t) = t + 31. Let l be z(-13). Let q be m(l). Suppose -3*w = -q*f - 199, -5*w + 345 = 5*f - 0*f. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 3 - (106\/(-13) - 154\/(-1001)). Sort g, -1, -2, -9, -4 in increasing order.\nAnswer: -9, -4, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 + -268422.\nAnswer: -268422.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - q = -1944280, o - 3*q + 219921 = -428175. Let p be -13 - -8 - o\/16002. Let g = p + -2\/2667. Calculate the common denominator of g and -73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:35 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2169794, 4339611, 6509464, 8679371, 10849350?\nAnswer: 13019419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2063925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 17 + 5 = 0. Let j = 12 - c. Suppose -2*r - f = -j - 17, 4*r + 3*f = 53. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 60*i**3 + 17*i**2 + 16*i + 1. Give v(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 3\/(-6)*(-18 + 0). Let m = -6 - s. Suppose -2*l + 5*l + 3*k = -9, 0 = m*l - 3*k - 23. Solve 3*r + 4*h - 5 = 0, 2*r - l*h - 4 = -5*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -6\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 834 = -3708. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*4\/(-10)*25. Suppose r = 4*j - y - 19, 2*j - 4*y = 4. Let b be j\/2 - 2 - 0. Is b < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811257883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/4 - 5*b**3\/3 - b**2 - 6*b - 2. Let k be c(-5). Suppose 8 = 607*j - 615*j. Sort -2, j, k in descending order.\nAnswer: k, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287720.\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c = -207*c + 40*c + 1444 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - 0 - 11*2. Let c = l - -34. Let o(j) = -j**3 - 10*j**2 + 10*j + 15. What is the smallest common multiple of c and o(-11)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:36 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*r - 203. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 5*y + 6. Let b be m(4). Suppose -3*v + 27 = 3*t, -b*t + v - 5*v = -24. Let j = 22 - t. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 666 divided by -6\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3372 (base 8) in base 10?\nAnswer: 1786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 18.64. Let d = 0.06 + f. Let n be (-1)\/5 + 0\/(-1). Sort -1, n, d in increasing order.\nAnswer: -1, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(7*(-11)\/77)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83630.41km to centimeters.\nAnswer: 8363041000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 4242.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-10)\/4)\/(303\/1010). What is the nearest to 1 in -0.008, n, -5?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*r**2 + 74*r**4 + 192*r**2 + 10*r + 4*r**4 - 3*r + 216*r**2 wrt r?\nAnswer: 1872*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3795.\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -19466262 smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 43. Let v(a) = a - a + 14*a**2 - f*a**2 + 7*a. What are the prime factors of v(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - 4. Let n = -7 - o. What is the biggest value in -2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 44*n = 48*n + 40, -n - 1 = 0. What is the units digit of (42504\/(-36))\/(w\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 32\/10)\/(1\/10). Let k be (d\/(-18))\/(6\/(3\/1)). Suppose -4*w + 2*a + 20 = 0, w + 3*w - 12 = 4*a. What is the second biggest value in k, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*n = 10150 + 2467 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-4) - 50\/4. Let r = 20 + a. Calculate the remainder when 25 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j + 1. Suppose 13 = 5*s + 3. Suppose -s*n + n = -a - 3, -5*n + 4*a = -13. What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/5)\/((-11)\/11)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1918465.\nAnswer: 3\/1918465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 29210\/13, -0.1, -4\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, 1, -7, 2, -59, 5 in decreasing order.\nAnswer: 5, 2, 1, -7, -59, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/14)\/(195*(-5510)\/475020).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10)\/(11\/(-5)). Let u = -3.5 - -3. Let x = -0.5 + u. Which is the biggest value? (a) g (b) x (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + sqrt(325) + 0 + sqrt(325) + 1 + (sqrt(325) + 0)*-2)*-5)**2.\nAnswer: 250*sqrt(13) + 8150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(-78) - 9\/27. Let y = -0.99 - 0.01. Does y = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11618127445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -5191681 = 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221241 (base 5) in base 7?\nAnswer: 221355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*s + 5 = 7, -2 = r + 4*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.34.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 7*n**3 - 5990*n**2 - 12000*n.\nAnswer: n*(n - 75)*(n + 2)*(n + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2224741464?\nAnswer: 2, 3, 11, 19, 16427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5\/5 - 68*o**4\/5 + 96*o**3 + 128*o**2\/5 - 7936*o\/5 + 3072 = 0. Calculate o.\nAnswer: -4, 4, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h + 2*g + 14, 3*h = 4*g + 8. Which is the closest to -2? (a) h (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1672, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15119230 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: Round -28.4834787 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 7*n = 128. List the prime factors of ((-258)\/8)\/(((-42)\/n)\/(-7)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(18)\/(5*sqrt(96)).\nAnswer: -4 + sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7 - 4. Let v = -3 - -23. What is the smallest common multiple of v and (-1)\/w*-1 - -19?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 9*i + 54. Let q be y(-5). Solve 0 = -7*s + q*s - 2*l + 16, 2*l + 4 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2442\/(-15) - (6\/5 + -1). Let k = 1469\/9 + l. Factor -k*s**3 + 0*s + 0 - 4\/9*s**2.\nAnswer: -2*s**2*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**4\/8 - k**3\/3 - 3*k**2\/2 + 3*k. Let c(r) be the first derivative of u(r). Differentiate c(s) wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -298411 less than or equal to -298411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + q + 235, 4*r = 5*q + 167. Suppose -2*c = -4*j - 60, 0 = 10*j - 7*j - 3. Calculate the least common multiple of c and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*x + 591, -x = l - 686 + 97. What is the remainder when l is divided by 154?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21755.\nAnswer: 5, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1052, -2350, -3956, -5870, -8092?\n\"Answer: -154*y**2 - 836*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1591, 1903, 2219, 2539?\nAnswer: 2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybyybbb. Give prob of picking 1 y and 1 b.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-4)\/(-60)) - 8. Does 29 divide (13 - (-91)\/(-13))*(-295)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (138\/18 - 3)\/((-4)\/(-6)). Suppose -5*r - 3*m + 51 = 0, 3*r - 2*m = m + 21. Let z be (-3)\/q*12\/r. Put z, -0.5, -5 in decreasing order.\nAnswer: -0.5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -c. Let k(x) = -x**3 + 2*x**2 + 2*x - 1. Let g be k(c). Suppose -4*h + 4 = 24, -2*z - 5*h = 61. Sort -3, z, -2, g in descending order.\nAnswer: g, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -17\/4, 2, -8, 1\/7, -0.4 in decreasing order.\nAnswer: 2, 1\/7, -0.4, -17\/4, -8, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 19832598.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -11*10\/(-165) + 9402\/18 is divided by 139.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203082963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47088233*t**3*w**2 + t**3*w - 23*t**3 - 28196*t**2 - 2*w wrt w?\nAnswer: -94176466*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-22)*w**42 assuming w is positive.\nAnswer: w**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c - -1b7?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 61. Calculate the smallest common multiple of h(-9) and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99379630 to the nearest one million.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/7, -61, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmmofqowoofttf. What is prob of picking 1 o, 1 t, and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257692 and 4324?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49520 or 49495?\nAnswer: 49520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u + 2*u + 3*u)*(-2 - 1 + 2)*(99814 - 99814 - 57*u) to y*u**2 + x + r*u and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*y**4 - 2*y**3 - 36662*y**2 + 9847004*y.\nAnswer: 84*y**2 - 12*y - 73324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r + 10 = 0. Let p be r\/4 - (-7203)\/6. What is p rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212569401.\nAnswer: 3, 11, 6441497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2470, 4609, 6748, 8887, 11026?\nAnswer: 13165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720*g - 340 = -805*g. Let 36*m**3 + 27\/2*m**2 + 0*m + 0 + 24*m**g = 0. Calculate m.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/6 + 8*o**3 + 171*o**2\/2 + 18*o - 1026 = 0.\nAnswer: -6, 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127201 and 393?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -775 divided by -155?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*q + 3*q**2 - 38*q + 16*q - 4*q**2 as c + x*q + g*q**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(429)\/(sqrt(11)*1))\/(sqrt(48)*3 + sqrt(3)).\nAnswer: 2*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*o + 4, 4*x - 13 = x + 5*o. Let d be x\/(-14) - 95\/(-35). Suppose a - 5*c = -24, -4*c = -a - 16 - d. Solve -w - 6 = -a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 1\/26, 0.4, 98 in ascending order.\nAnswer: 1\/26, 0.4, 98, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*j = 10159 - 2843, 2*h = 5*j + 4885. Let b be (-8)\/20*-5 - h\/1228. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/864 and ((-4441)\/770)\/(288\/15) + 20\/70.\nAnswer: 19008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 203*y - 1617. Determine v(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - n = 23, -4*n + 6 = -h + 8. Let l be (h - 0)\/(18\/48). Let w(o) = -o**2 + 24*o - 45. List the prime factors of w(l).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 77, 4, -2 in increasing order.\nAnswer: -2, 2, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (-7 + (3 - 67) + 17).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-228)\/(-64))*(-9)\/(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 914 + -915. What is the fourth biggest value in 0, s, -4, -4\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 7:13 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -9*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 2:00 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 21 - 31. Suppose 6 = z*g - 4. Solve 5*k = -g*d - 8, -d = k + 1 + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 - 55212 + 26*y**2 + 55242 - 41*y**2 + 44*y**2.\nAnswer: -y**3 + 29*y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 4. Let g(q) = q**j - 2*q**2 + 0*q**2. Let p(c) be the third derivative of -c**5\/60 - 34*c**2 - 2*c. Determine p(g(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36093.\nAnswer: 3, 53, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a factor of 3987792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -4. Let h = 83 - 65. Suppose h = a - 0*a + m*g, -5*a = -2*g - 9. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 4 - 4 + (-4*o - 2*o + 5*o)*(-6 + 6 + 6*o) + o + o**2 - o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 + 2*n**2 + 12*n - 80\/3 = 0. What is n?\nAnswer: -4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/3)*o\/((o*o*o**(-10))\/o)*(o**(-2\/9))**(-33) assuming o is positive.\nAnswer: o**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.1 (c) -5\/6 (d) -10644\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166574 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -641 (b) -5\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 not equal to 858\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-263980)\/(-6) - (-2)\/(-3). Let h = -358877 + 534879. Suppose -2*x = -4*a - h, -2*x - w = a + 2*x. What is a rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101 + 36. Let v = -43 - p. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -416548*a*d**2 - 4*a - 2*d**2 - 59008*d wrt d.\nAnswer: -833096*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + r**2 + 9*r + 7. Let f be i(-3). Solve 0 = -15*v + 2 + f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4278782 and 68?\nAnswer: 4278714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 13157*i + 4 - 13184*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.5 - 3.2. Let d = l + 0.7. Let k = 3 + d. Put 2, k, 1\/4 in descending order.\nAnswer: k, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41419, 82873, 124327, 165775, 207211, 248629, 290023, 331387?\n\"Answer: -d**3 + 6*d**2 + 41443*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/7 (b) -409 (c) -30 (d) -0.7 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 21 - 451. Let x = 96 - g. Calculate the lowest common multiple of 0 + (-4)\/(-2) + 12 and x.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59\/492 + 22\/41. Let v(w) be the second derivative of t*w**4 - 1\/6*w**6 + 3*w + 0*w**2 + 0 + 0*w**5 + 0*w**3. Find the third derivative of v(c) wrt c.\nAnswer: -120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 1608, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 4, -2\/13, 0.8 in descending order.\nAnswer: 4, 0.8, 0.2, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 10*t = 2*a - 44382, -5*a = -30. What is the highest common divisor of 29 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16 + (-9 - 0)*(-2)\/(-6). Suppose 0 = -5*u - 4*n + 6, 10 = u + d*n - 10*n. List the prime factors of u\/4*(-2 + 3 - 15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccwwccwcccwccwwcccw. What is prob of sequence wwc?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000042517 rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -c + 90. Let o be 30\/(-1) - (c + -17). Let l = -21 - o. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2\/5 (c) 1\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -579*y + 2325. What is o(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2 - 4*u + 4. Let l(k) = -k**2 + k - 1. Let x(z) = 4*l(z) + r(z). Let y(s) = 20*s - 13*s - 7*s - 5*s. Calculate y(x(a)).\nAnswer: 50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7782.517 milliseconds?\nAnswer: 7782517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2716?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 8 = 3*m, -8*m = f - 13*m - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p - 4 = 0. Let t = p + 8. Determine k so that -2\/5*k**2 - 2\/5*k**t + 0 + 0*k - 4\/5*k**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493025523?\nAnswer: 3, 4751, 34591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 17 = o, 3*o + 4*z + z - 7 = 0. Suppose -p = 2*p + o, -3*p - 27009 = -5*d. Round d to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -103979814, -103979816, -103979818, -103979820, -103979822, -103979824?\n\"Answer: -2*v - 103979812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -315 + 320. Solve -l*v = 5*m + 10, -v - 9 = 2*m - 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212699 is divided by 2798?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 81*k - 20564. Let o(a) = 5*a. Give o(i(b)).\nAnswer: 405*b - 102820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93078270 is divided by 12865.\nAnswer: 12860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 - 25*m - 4. Suppose o = -0*p + p, 5*p - 27 = -4*o. Let h be a(p). Factor 0 + 0*v**3 + 0*v**4 + 0*v + 0*v**h + 1\/4*v**5.\nAnswer: v**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**2 - 5*k**2 - 2*k**3 + k**3 - 1 + 1 + (2*k - 2*k - 2*k)*(3 + k**2 - 3) - 7*k**3 + 3*k**3 + 3*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (14 - 40 - -34)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374318.\nAnswer: 2, 7, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v - 10. Let c(d) = -3*d - 10. Let n(w) = 3*c(w) - 2*h(w). Let r be n(-7). What is the units digit of 14\/8 + r\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1011101?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*2*sqrt(9))\/((sqrt(3) - ((sqrt(48) - sqrt(3)) + sqrt(3)))*-2*1).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 661149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*f - 5*f + 6 = 0, 0 = 5*f - 15. Let d = 3 + q. Which is the nearest to 0.1? (a) -2 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 467003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 81 = o, -3524*o + 1759*o - 21 = -1754*o + 4*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1576 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 1 = i - 9*w, -3*i = 5*w - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 9 - 7 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t - 49. Determine f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -165.8687038?\nAnswer: -163.8687038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, a: 4}. What is prob of picking 1 a and 2 c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from suuuuuuuulususcl.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = 3*i - 25, 2*l - 2*i = 40. Let f = -472 + 574. Calculate the greatest common divisor of f and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 2909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2470251 + 2470076.00748. Let v = -175 - g. What is v rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrccrtttrrtr. Give prob of picking 3 c.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*s**4*z - 32752424*s**2*z**3 + z**3 - 1710494*z**2 - 54*z - 2 wrt s?\nAnswer: -48*s**3*z - 65504848*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**3 - 59*c**2 - 7*c - 7. Let b(x) = -8*x**3 - 47*x**2 - 6*x - 6. Calculate 5*b(m) - 4*h(m).\nAnswer: -12*m**3 + m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77 and 112.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrdrrrrrdq. Give prob of picking 1 q, 2 d, and 1 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n**4\/2 + 240*n**3 + 5073*n**2\/2 + 819*n = 0. What is n?\nAnswer: -39, -14, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 14 = 4. Let y = f + 15. Solve q = 4*q - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -67. Let q = 54 - a. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -13*d**6\/15 + 16*d**2 - 39*d + 35. Let f(q) be the first derivative of z(q). Find the first derivative of f(w) wrt w.\nAnswer: -104*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365843 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/2*b + 1\/2*b**2 - 3 = 0. Calculate b.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microgram in nanograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m**3 - 81*m**2 - 13*m - 361. Determine t(-5).\nAnswer: -821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h**2)*(279*h**2 + 315*h - 96*h - 226*h).\nAnswer: -558*h**4 + 14*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*c = -975*c - 15376 - 16856 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-117)\/2)\/(-13))\/(108\/(-36)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/58696120 and -101\/217175644.\nAnswer: 2171756440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5596 = -3*t - 2*j, 5*j + 357 = -2*t - 3392. Let s be -6 - (2\/(-10) + t\/190). Let d = -951\/10 - -95. Sort 2, -0.5, s, d in descending order.\nAnswer: s, 2, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 136*c**2 - 129*c + 1097. Let d be y(-137). Sort d, -1, -5, 4, 7 in ascending order.\nAnswer: -5, -1, d, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140*-5\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1638 and 2366.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 4*q**2 - 6*q - 4. Let o be k(-4). Differentiate -770*h**2 + 769*h**2 + o*h**3 - 124 - 6*h**3 with respect to h.\nAnswer: 42*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**3 - 36*k**2 - 144*k - 192 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302653 = 7*r - 2*r - 3*c, 2*r - 5*c = -121065. Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.203 times -5\nAnswer: 1.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882 + -897 + (1 - (0 + 20)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -46*i**2 + 8*i - 657. Let a(p) = 29*p**2 - 5*p + 438. Calculate -8*a(x) - 5*s(x).\nAnswer: -2*x**2 - 219","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:28 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -144847039 at least -144847044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/4, 0.4, -77 in descending order.\nAnswer: 1\/2, 0.4, -1\/4, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1069, -0.3, -28, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4180*q**2 + 15*q - 4180*q**2 - 69*q**3 - 5*q - 11*q**3 - 10*q.\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 334230 (base 5) in base 15?\nAnswer: 377a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 559, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*(-48)\/27.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27*j + 19*j + 451*j)*(4*j - 10*j - 6*j) to the form f + d*j**2 + k*j and give d.\nAnswer: -5316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) + -2*sqrt(136)))\/(sqrt(256)\/sqrt(2)) - 3*(-4 + -1 + sqrt(612)).\nAnswer: -33*sqrt(17)\/2 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 10870311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 327845681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 2 + -4 + -5. Let k be (-22)\/(-4)*(12 - 16). Let z = f - k. Solve 0*j - z = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 4*i**2 - i. Let r be m(-4). Suppose q = 9 - 2. Suppose -5*l + q = -r*l. Solve -l = 3*v + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/7 and -17\/329?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*4*2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 991*j**3 - 50*j**3 + 242763*j**2 - 237390*j**2 wrt j.\nAnswer: 5646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160096 divided by 6.\nAnswer: 80048\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1101000000100110 (base 2) to base 13\nAnswer: 1b33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a + 120. Let v(c) = -5*c + 24. Let l(o) = -3*b(o) + 14*v(o). Let w be l(10). Let f(h) = 5*h + 2*h - 6*h. Calculate f(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 201445.2 seconds?\nAnswer: 201445200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**6 - 8*u**5\/5 + 3*u**4 + 8*u**3\/3 - 6. Solve h(b) = 0 for b.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -7638, 21 in decreasing order.\nAnswer: 21, 4, 0, -7638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 21 = 4*b + 13, 466*f - 469*f + 11*b + 246 = -7*b - 10*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = 24*d + 264 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (200\/(-6))\/((-227)\/(-106236)*390)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 204917\/20 + -10242. Find the common denominator of p and 79\/324.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59028478.\nAnswer: 2, 19, 1553381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 551516403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (92 + 183 - 232 + 234 + 248)*(2*m**2 - 5*m**2 - 5*m**2).\nAnswer: -4200*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 4*j - 4 = -11*c, -2 = -2*c - 2*j. Solve 0*g + 4*g = c for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0. Let k = -0.2 - -0.4. Which is the nearest to 0.1? (a) 4 (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, w: 1, x: 1, g: 1}. What is prob of sequence gx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.8712 months to decades.\nAnswer: 5.33226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-132 + 132 + 10*u**2)*(-358*u + 216*u - 53*u) as o*u**3 + i + v*u**2 + q*u and give o.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -7\/3*d**3 + 5\/2*d**2 + 14 + 0*d. Find the second derivative of g(z) wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvxxvx. Give prob of sequence xv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 14 = 6. Let b(y) = 2*y**2 - 3*y. Let x be b(f). Let i = 7 + x. What is the least common multiple of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 4*o = 4 - 23, 21*c - 84 - 32 = -3*o + 19 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**4\/13 - 300*l**3\/13 - 3134*l**2\/13 - 10488*l\/13 - 11520\/13 = 0.\nAnswer: -4, -3, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.47023 days?\nAnswer: 83.28552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -32165*l - 836299. Determine v(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**2\/4 + 6750*u - 15187500 = 0?\nAnswer: 4500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 7) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.07 - 60. Let j = -0.2 - 0. Let u = 0.1 + 0.4. Put j, u, y in ascending order.\nAnswer: j, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341522 is divided by 85347.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30 and -49\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1202845, -1203416, -1204369, -1205704, -1207421, -1209520?\n\"Answer: -191*y**2 + 2*y - 1202656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -912*m - 1054*m = -198*m + 153*m + 53788 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580.2607 rounded to the nearest 10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 5*q - 12*q**2 + 1 - 3 - 3. Let w(t) = -5*t**2 - 2*t - 2. Let g(x) = 2*u(x) - 5*w(x). Let a(r) = 2*r**2. Determine a(g(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 6*q = 20. Do 4 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6)\/y)\/y)**17 assuming y is positive.\nAnswer: y**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -103124 * 0.5\nAnswer: -51562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*w - 161*w - 3*d + 6 = 0, d = 5*w + 2. Let t(j) be the second derivative of -14\/3*j**3 + 1\/6*j**4 + 49*j**2 + w + 36*j. Factor t(r).\nAnswer: 2*(r - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -104, -3?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*2194703.\nAnswer: 9217752.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39478, 78996, 118596, 158320, 198210, 238308, 278656, 319296?\nAnswer: 360270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 6*r**2 - 7*r + 4. Let v be q(3). Let j be ((-3)\/9 + 1)*9. Suppose i + 3*i = 2*g + 8, -5*g - 3*i + j = 0. Solve g = -3*z + z - v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16185, 16187, 16189, 16191, 16193, 16195?\nAnswer: 16197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601.87 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56*f**3 + 182?\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-5)\/(10\/(-4)) - 1. Let x be (z - (-18)\/4)*8. Find the common denominator of 62\/27 and x - ((-62)\/(-18) + 4).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33+-261\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*n - 38 = 0, -3*a + 74 = 2*n - n. Calculate the remainder when a is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1630600 to the nearest ten thousand.\nAnswer: 1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 645692 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -4. Suppose -h + 27 = 2*g, -g = -3*h - 9 - d. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-1806))\/(54\/(-1134)*6).\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 3684. Let m(h) = -5*h - 14779. What is -4*m(o) - 18*w(o)?\nAnswer: 2*o - 7196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2284 and 10?\nAnswer: 11420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4179 - -4178.99752. What is i rounded to 5 dps?\nAnswer: -0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3484 and 2269692.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onh when three letters picked without replacement from {o: 2, h: 1, f: 5, r: 5, p: 2, n: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q + 44. Let x be s(20). Solve 5*r + x = -6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:29 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 + 1)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*k**2 + 487*k - 160394 wrt k.\nAnswer: 74*k + 487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508968045 divided by -3?\nAnswer: -169656015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.931897mg in nanograms?\nAnswer: 8931897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 270460*u**3 - 53392*u**2.\nAnswer: 1622760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -165 divided by -2\nAnswer: 165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 7*k - 4*s + 28 = 0, s - 15 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4451.422672 rounded to the nearest integer?\nAnswer: -4451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 1\/4*b**4 - 1\/2*b**2 + 0*b**3 + 1 - 7*b. Let m(r) = 51*r - 153. Let l be m(3). Determine t(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57245*f**2 + 18588040*f - 1508931920 = 0. Calculate f.\nAnswer: 17372\/107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 0, 74, -7.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51, 87, 137, 207, 303, 431?\n\"Answer: g**3 + g**2 + 26*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(25)*-2 + sqrt(100)*-3)*6)\/((sqrt(80) - sqrt(80)*-2)*2).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(((-6)\/(-424))\/((-4)\/(-16))) and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bghkgyghgykyggbyyggb. What is prob of picking 1 b and 2 g?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -202, -206, -226, -274, -362, -502, -706, -986?\n\"Answer: -2*k**3 + 4*k**2 - 2*k - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2600*l**2 + 32*l + 33. What is the hundreds digit of a(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -63*x - 23. Let c(p) = 137*p + 47. Let l(j) = 6*c(j) + 13*q(j). Determine l(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*d = -11, -3*r + 25 = -4*d + 42 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/((-2)\/426). Let t = 83 + i. Solve t = -2*m + 6*m + 4*a, 5*a = 5*m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 1287.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -4.02. Let i(z) = z**2 - 5*z - 2. Let f be i(4). Let v be (-4)\/12*f\/(-8). Put 0.1, d, v in decreasing order.\nAnswer: d, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*c**2 + 10*c**2 - 58*c**2.\nAnswer: -184*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*x = 0, -h - 4*h - 3*x = 9. Let a = h - -6. Suppose v - 2*z = -2, 2*z - 27 = -a*v - 3*z. Solve 0 = 2*d + 5*l + 27, 12 = -3*d - l + v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25875 and 828.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 43 = 139. Find the third derivative of -36*i**3 + 50*i**3 + v*i**3 - 30*i**2 wrt i.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f**2 - 4. Suppose -8 = -0*r - 2*r. Let v(a) = 75*a**2 + 878*a - 15 - 878*a. Let g(s) = r*v(s) - 15*o(s). Let i(p) = 2*p**2. What is i(g(h))?\nAnswer: 450*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1203 - 2?\nAnswer: -1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4396297874 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: What is ((-252)\/198)\/(-3 + 35\/11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.9 (b) -1 (c) -7 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0 (c) 0.4 (d) -4 (e) 6 (f) -2\/279\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from ururfyfurbrtuf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -21*k + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let w(l) = l - 1. Let q(a) = -2*a - 3. Let z(m) = 5*q(m) - 15*w(m). Calculate z(n(y)).\nAnswer: 50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 7.202, 19, 0.2, 4\/3 in increasing order.\nAnswer: -2, 0.2, 4\/3, 4, 7.202, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 17*l + 24. What is the remainder when m(-19) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inq when three letters picked without replacement from cogqigggoniignnggicg.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a + 4*t - 78690 = 0, 118029 = 3*a + 3*t. What is the thousands digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2863*t**3 - 4*t**2 - 74*t - 273. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 + 5*q + 7. Let n(y) = -y**3 - 6*y**2 + 8*y + 1. Let c be n(-7). Let m(k) = 7*k**2 + 6*k + 8. Determine c*o(j) + 5*m(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 454, 3565, 12014, 28471, 55606, 96089, 152590, 227779?\nAnswer: 324326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 25 + 6 = -3*i + 4, -5*i = 15 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14771355 to the power of 1\/2, to the nearest integer?\nAnswer: 3843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2 and -173\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40573868 and -1?\nAnswer: 40573868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 0, 4*f - 9*f - 4*n + 46 = 0. Let a = f + -6. Suppose a = 5*y - 316 - 44. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11706, 11707, 11708, 11709?\n\"Answer: v + 11705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21454 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: Simplify ((n*n\/((n**(-1\/12)*n)\/n)*n)\/(n**(-3\/8)*n))\/(n**(2\/17))**(-16\/5) assuming n is positive.\nAnswer: n**(5783\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2168 - -2166.05. Is j at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0*v**2 + 3*v**2 + 6 - 5*v + 2 + 4*v. Let m be s(4). What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13)\/(n*n**(-19)*n))\/(n\/n**26*n*n**(2\/41)) assuming n is positive.\nAnswer: n**(1146\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j. Suppose 7*y = 2*y + 5. Let c(h) = h**2 - 4*h. Determine y*c(z) + 4*b(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 n, and 1 s when four letters picked without replacement from {e: 2, n: 1, s: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 11 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1805.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18911 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 1\/2*d**2 + 5*d + 31\/2*d**3 + 0. Is t(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-14 - (-72657)\/5175. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99361*y**3 - 397446*y**2 - 397452*y - 8.\nAnswer: -(y + 2)**2*(99361*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (96\/28)\/((-3)\/(-47 + 5)). What is the greatest common divisor of 496 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -24*x + 27*x. Is x at most -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8554 or -8558?\nAnswer: -8558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Suppose 0 = a - 1 + q. Let x(r) = r**3 + 8*r**2 + 5. Is x(a) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*d - 4*f - 98 = 0, f = -5*d + 125. Suppose -33 = 5*m - 0*m + 3*y, -2*m = -2*y + d. Suppose 35 - 3 = -4*k. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13492584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Express (299*v - 2*v**2 - 10 - 299*v)*(-5*v + 3*v + 4*v) as i*v**2 + m + a*v + t*v**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 38*r + 93. Let s be q(-30). What is the greatest common factor of 37 and s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 13 - -40 - 55) + (30 - 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.9550714 minus 19.8969?\nAnswer: 53.0581714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-16)*-20*(-1 + 2). Let p be 28\/(-98) - 74\/(-14). Let i be -1*(-4 - 1)\/p. Solve -i = t*f - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14188, -14162, -14112, -14032, -13916?\n\"Answer: p**3 + 6*p**2 + p - 14196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 363*h**3 - 10*h**2 - 5*h + 3. Let v(u) = 1090*u**3 - 32*u**2 - 16*u + 10. What is -16*i(d) + 5*v(d)?\nAnswer: -358*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let w be z(2). Let i(u) = 20 + u + 10 - 11 - 2*u - 14. Let l be i(w). Solve 5*c - l = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f + 6 - 6 + (2 - 1 - 3 - f)*(0 - 2 + 5) in the form z + n*f and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - 474\/(-66)) + -5. Factor r*v**3 + 0*v**2 + 4\/11 - 6\/11*v.\nAnswer: 2*(v - 1)**2*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21156675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1))\/(m\/(m**(-5)\/m))*(m*(m\/(m**5*m))\/m)\/(m**(-5)\/m))**(-40) assuming m is positive.\nAnswer: m**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91? (a) -2\/13 (b) 0.3 (c) -5 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-3 - -2) - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3 - -1) + (-3 - -9). Solve 2*z = -m - 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w. Suppose w = 5*z + 12 + 8. Let p be (z - -7)*4\/3. Solve -2*b = 2*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4010400985 to the nearest integer?\nAnswer: 63328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 293, 743, 1403, 2279?\nAnswer: 3377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -132 - 92. Suppose -2*k + 0*k = -r + z, -2*k - 46 = -4*r. Calculate the smallest common multiple of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fee when three letters picked without replacement from {v: 2, q: 2, e: 3, f: 1, g: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 984 + -895. Let p = 7 - 4. What is the second derivative of -x*o**3 - 27*o - 63*o**p - 85*o**3 + 209*o**3 wrt o?\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 59574920 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114741\/248521 - 3\/19117. Which is the nearest to 0.06? (a) -0.1 (b) 0.09 (c) o (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 11*a - 2*a)*(1 + 2 - 1 - a).\nAnswer: -8*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 922, -139 in decreasing order.\nAnswer: 922, 4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282381273.\nAnswer: 3119, 731767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2c92833 (base 13) to base 11\nAnswer: 8126969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15\/101 + -8929\/404. Let j = -22 - f. Factor 3\/4 - 1\/2*p**2 - j*p**4 - p**3 + p.\nAnswer: -(p - 1)*(p + 1)**2*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57982915?\nAnswer: 5, 11596583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zgzgzggggzggzggzgg. Give prob of picking 2 z and 2 g.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 1, u: 2, s: 2, b: 2}. What is prob of sequence bur?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 3.7. Suppose 32 = 3*t + 5*i, -i = t + 4*i - 24. Let z be t\/35 + (-10)\/25. What is the nearest to z in -3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 p when three letters picked without replacement from ttkpkttkjkkt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1618.8 - -1467. Let o = p + 196. What is o rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwfv when four letters picked without replacement from mmfffwv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -274, 5 in descending order.\nAnswer: 5, 0, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 20*w**2 - 8*w + 1147. Let k(m) = 6*m**2 - 2*m + 383. Calculate 2*i(s) - 7*k(s).\nAnswer: -2*s**2 - 2*s - 387","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1622086 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2. Let v(p) = -44 - 69 - 1427*p**2 + 113. What is v(g(y))?\nAnswer: -5708*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 803160964 to the nearest integer?\nAnswer: 28340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370775, -370791, -370807, -370823?\nAnswer: -370839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191492?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 226878 less than or equal to 226757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 3*l)*(-2 - 5 - 4).\nAnswer: -11*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 65 - 22*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 8*n. Let t be i(3). Solve -8*b = -29*b - t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 - -18 - (-57 + -9 + 68)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**22)\/v)\/v)\/(v\/v**(-19)) assuming v is positive.\nAnswer: v**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 1:35 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 3*u - 1. Let m(f) = 3*f**2 - 3*f - 2. Give 3*m(w) - 2*p(w).\nAnswer: 3*w**2 - 3*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14)\/4*(6 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27)*(-420)\/40\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101111010111100 - 11000101?\nAnswer: -1000101111110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 475644 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5400184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129115 and 4690?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + -2 - (-11)\/(11\/42).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*q + q**2 + 0*q - 2*q to g*q + p*q**2 + f and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*y = 449*y - 20. Let u(g) = -6*g - 63. Let a(c) = 4*c + 42. What is y*u(k) - 7*a(k)?\nAnswer: 2*k + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 6*o. Solve 0 = -2*u - 0 - o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*n - 252 = 0, -3*b - 6*n + 366 = -4*n. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 5*u**2 - 6*u + 2. What is the remainder when n(-3) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 4. Let m(r) = -r + 3. Let p(y) = -5*y + 109. Let b be p(23). Determine b*m(f) - 5*w(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (0 + sqrt(3))**2*-3)*-3 + 4.\nAnswer: -3*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1370*t**2 + 38*t - 10. Let p(g) = -1367*g**2 + 40*g - 9. Let c(f) = 2*j(f) - 3*p(f). What is the second derivative of c(k) wrt k?\nAnswer: 2722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 1710 = 1730 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - d - 7*d**2 + 23*d**2 - 5*d**2 + 2*d to the form l*d**2 + y + s*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 34 = 139. Suppose 3*p - 8 = -2. Suppose 0 = -h + a + 3, p*h - 6*h + 10 = -5*a. Solve g = 3*g - h*f - y, 3*g - 20 = f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1223 and 361.\nAnswer: -441503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -459.156332 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/30 + r**4\/8 + r**3\/6 + 3*r**2. Let v(h) = 0. What is h?\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:16 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314131 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18165 + -3503. List the prime factors of h.\nAnswer: 2, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18408333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -457 + 459. Suppose -801048 = 4*m + 2*p + 918960, 0 = 4*m - f*p + 1719992. What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2073, -0.3, -3\/7, 30, -3 in descending order.\nAnswer: 30, -0.3, -3\/7, -3, -2073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/7514914 and -61\/4782218.\nAnswer: 52604398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2*n**2 + 2. Let b be t(-1). Factor v**2 - 4 - 1 + b.\nAnswer: (v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 25. Sort -3\/7, c, 1 in descending order.\nAnswer: 1, -3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196501304.\nAnswer: 2, 3, 49854221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 662, 19, -69.\nAnswer: -69, 4, 19, 662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) 0.5 (c) 2 (d) 3 (e) 41 (f) 1187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 10:02 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76796 and 789.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 - f - 1. Let s be i(1). Suppose 11*m = s*m + 660. Suppose -5*w + 55 = -m. Calculate the highest common divisor of w and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + n**2 - n. Let b be x(1). Let p(t) = -2*t**2 - 7*t - 5. Let q be p(b). Is -4*((-12)\/20 + 9223\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/4 + 47*s**3\/4 - 51*s**2\/2 - 47*s + 98 = 0.\nAnswer: -49, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185609778 or -0.1?\nAnswer: -185609778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10518 - 1)*2*7\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 13*k + 425 = -7*k, -4*j + 3*k - 632 = -402 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26747438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (32 + -58 + 25).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 252\/(-120) + 4\/(-10)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 17.26. Let p = 13.515 - 13.77443. Let i = p + d. Round i to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23400324 divided by 57?\nAnswer: -410532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u = 4*y - 2, 4*y + 4*u + 4 = 0. Suppose 0 = -y*q + 5*q + 15. Let v be 75\/40*(-1)\/q. What is the closest to 2\/7 in -4, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448293, 896587, 1344881, 1793175, 2241469, 2689763?\nAnswer: 3138057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 12 = 0, 6*s - 3*s = 5*s + u - 24 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -22*f**2 - 726*f + 71. What is q(-33)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + x - 3 + (1 - 4 + 5)*(-2*x - 2 + 2) + 1 - 1 + x to the form o + k*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(6*sqrt(252)).\nAnswer: sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27\/54 - (-1)\/2. Find the third derivative of -148*m - p + 148*m + 2*m**2 - 24*m**3 wrt m.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -603625, -603624, -603623, -603622, -603621, -603620?\n\"Answer: d - 603626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -181*a - 676. Let l be m(-4). Solve 39*r = l*r + 36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 8*m = -126852. Suppose 0 = 14*q - 8692 - m. Let l = 4904 - q. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:06 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*a**2 + 126*a**3 + 8*a**2 + 10*a**2 + 5*a**2)*(-621 + 8*a + 621) in the form j*a**4 + b*a + q*a**2 + t + f*a**3 and give j.\nAnswer: 1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 824 and 14214.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k. Let t(d) = 60230*d**2 - 950*d - 950. Let c(v) = -190*v**2 + 3*v + 3. Let h(l) = -1900*c(l) - 6*t(l). Calculate w(h(b)).\nAnswer: 760*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 756\/(-162) - (176\/33 + -7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2 - 2)*(-x**2 - 3*x**2 + 5*x**2) + (-10*x - 3*x + 18*x)*((x + 4*x - 4*x)*(-46*x - 9*x - 5*x) - 2*x**2 - x**2 + 2*x**2).\nAnswer: -307*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 22 = 4*c, -4*c + 235534 - 235547 = m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5767 - -5?\nAnswer: 5773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14 and 50229.\nAnswer: 50215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -73, -93, -95, -73, -21, 67, 197?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 - 30876*f**2 + 32869060*f + 32899932 = 0. What is f?\nAnswer: -8667, -1, 949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*v + 5, -2*v + 4*a + 3 = 5*a. What is the biggest value in v, -4, 0.02, -26?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -341145420 (base 6) in base 12?\nAnswer: -20bb270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - m. Suppose 0 = -3*u + 12, 22 = -2*c + c + 5*u. Let o be j(c). Let p(l) = 4*l**2 - 3*l - 2. What is the tens digit of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 16*y**2 + 21*y + 4. Let o be s(15). Let d = 175 - o. What is the third derivative of -d*a**3 + 6*a**2 + 112*a**3 + 10*a**2 wrt a?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 103 - -216. Let q = 180580 - 180558. What is the highest common divisor of q and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8976.4227us in weeks?\nAnswer: 0.00000001484196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.11 - 0.127. Let s = -0.417 - f. Sort s, -0.3, 2\/9 in descending order.\nAnswer: 2\/9, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5101 - -5106. What is the fourth smallest value in -5, 1\/3, -9, k, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 6*k + 66. Let h(g) = -48*g**2 - 15*g + 33. Let b(v) = 3*v**2 + v - 2. Let u(t) = k*b(t) - 2*h(t). Let u(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.14627ms to minutes.\nAnswer: 0.0008191045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -296 + 589 - 1977*f - 720*f - 293 in the form s + m*f and give m.\nAnswer: -2697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31784 and 154536?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14142\/(-12))\/((-1)\/(-2)). Let j = 16528\/7 + d. Find the common denominator of j and 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795402440 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62042?\nAnswer: 2, 67, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 169455.6 rounded to the nearest 100?\nAnswer: 169500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-20))\/((-4)\/((-80)\/(-4))))\/(1198\/16772)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 759543242 and -4.\nAnswer: -3038172968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/405)\/(11\/((-66)\/(-8)))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*f = -2*m + 84*f - 209 + 1, -3*f - 40 = 2*m for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*a**2*c**2 - 12015864*a**2*c + 3*a**2 + 13721*a + 504 wrt c.\nAnswer: 26*a**2*c - 12015864*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1046 + 2*o**2 - 1061 - 5*o + 25*o to t + k*o**2 + p*o and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7788 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9329 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 + 31*q**3 + 6*q**2 - 6*q**2 - 22*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 11:56 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**3)**(4\/11))**(-6\/11)*(g\/g**(1\/2))\/g**(1\/11)*(((g**2*g)\/g)\/g)**10 assuming g is positive.\nAnswer: g**(2375\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10038 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*m - 5*x, -5*x - 98 = 2*m - 6*m. Suppose -2*l + 78 = -4*r + l, m = -r - 3*l. What is the remainder when 32 is divided by r\/(-2) + (-8)\/(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1*2)\/(sqrt(176)*1))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*j**3 + 33 - 16 - 33*j**3 as o*j + f + z*j**2 + b*j**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105797699 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 749083741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 10 - (171 - 241).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 1, h: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -774, -1062, -1224, -1218, -1002, -534, 228?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 3. Let k be 1\/(1\/6 - 0). Let o be -2 + -2 + (-6)\/k. Give z(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10710 + -10622. Calculate the highest common factor of 21384 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*a + 19 + 31 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 337, -35, -7.23?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -3. Let i(h) = 2*h**3 + 39*h**2 + 190*h + 9. Let j be i(-9). Solve 0*c + u*c = j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7028*n + 7033*n + 5 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 32 = n, -2*g - 2 = -2*n + 6*n. Suppose -g*w = -4*w - 5127. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(704)*-3))**2 + (-3 + sqrt(1900) + -1)**2.\nAnswer: -80*sqrt(19) + 1103635\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/13 (c) -0.1 (d) -0.3 (e) 18\/7 (f) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/28)\/((-4)\/(-168)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3770 - -13879. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.31, 4, 11, -4, -12?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-7\/3)*j))\/j)\/((j\/(j\/(j**(-21)*j)))\/j) assuming j is positive.\nAnswer: j**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 28758, 56906, 85054, 113202, 141350?\n\"Answer: 28148*a + 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2726811254 - 0.0067.\nAnswer: 0.2659811254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*k + 0*k**3 - 9*k**3 + 125*k.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 146180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 378 + -262. Let v = k - 126.3. Let u = v + 10.3387. What is u rounded to 3 decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1944567554.\nAnswer: 2, 1223, 794999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/15)*r**8)\/(r*r*r**12*r*r*r*r*r**7) assuming r is positive.\nAnswer: r**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 7 + 9)*(15*x**3 - 13*x**2 + 13*x**2) to the form k*x**3 + z*x**2 + g*x + t and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.143 + 0.2. What is k rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*244\/(-61)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 354834?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -25 + -28 + 10 + 16\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = -1. Let r = c - 4. Suppose -5*l - 4*u + 4 = 5, -4*l - 18*u = -14*u. What is the nearest to r in -2\/11, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 287*t - 38204. What is l(84)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 92 + (61 - 12)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b5 (base 13) to base 8.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33660)\/(-28050))\/((168\/(-10))\/3).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (10 - ((34 - 39) + (12 - 2)) - -73).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose 6*p = -2660 - 922. Let c = 603 + p. Solve -4 = c*b - i*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-2))\/((-14)\/(-1113)). Let n = -214 + g. Suppose 2*h - n = -0*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.1 (b) 10\/11 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 89. What is the remainder when 15 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 25 = -5*n, 3*n = -x + 5*n - 10. Suppose f = -x*f - 3*w - 7, -5 = w. Let h = 8 - f. Is h bigger than 1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:58 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 6*d - 18. Let m(n) = -6*n**2 + 32*n - 96. Let q(r) = -3*m(r) + 16*w(r). Let t(y) = y - y + 2*y**2. Give q(t(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o - 9 - 28*o + 9 - 5*o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/11 (b) 5 (c) -2\/5 (d) -12\/24401\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1193, 1186, 1169, 1136, 1081, 998?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 34 (c) -0.3 (d) 1 (e) -11509\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/64 - -89\/192. Factor -80\/3*x**3 - w*x**4 - 716\/3*x**2 - 294 + 560*x.\nAnswer: -2*(x - 1)**2*(x + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2733 + 1297 = 0. Let v = -132938\/33 + i. Calculate the common denominator of 14\/(-3) - 224\/(-504) and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 224, 365, 508?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33924\/15 + (-48)\/(-120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.5, 4, -59, -12?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60560 and 13406907905.\nAnswer: 13406847345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*j**2 - 4*j**4 - j**4 - 1 - 45*j**2 - 2*j - 46*j**2 - 36*j**2 to b*j**2 + z + n*j + x*j**3 + w*j**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 0*t + 1586\/5*t**2 + 1584\/5*t**3 - 2\/5*t**4 + 0 = 0?\nAnswer: -1, 0, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3*g*p + 362*b**3*p**3 - 32*b**2*p - 57*b*g*p**3 - 3*b*p**3 + g*p - g - 2*p**2 wrt p?\nAnswer: 2172*b**3 - 342*b*g - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*t + 40*t = 84 + 103 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/11 + 1201028*v\/11 - 6005690 = 0. What is v?\nAnswer: -600569, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3217656.25 and -1.85483.\nAnswer: 3217654.39517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5 + 66\/(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5046 and 13282.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-30)\/s)\/((((s*s**(1\/38)\/s)\/s)\/s)\/s) assuming s is positive.\nAnswer: s**(-1065\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 2*c**2 + 2*c - 3. What is j(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - -20. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + b**4 + 3*b**3 - 2*b**4 - 2*b**4 + b**4 - 2*b**4 + 3*b**4 - 2*b**4 + (0*b + 0*b + 2*b**2)*(0*b**2 - b**2 - b**2) - b**4 + 4*b**3 - 4*b**3.\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 0, 5*c + 4*x - 1927 + 359 = 0. Suppose -8050 = -323*s + c*s. List the prime factors of s.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831086247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 535\/102*((-184)\/(-80) - 2) and 61\/153.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 34*u**3 - 79*u**2 + 3*u - 3. Let w(x) = 66*x**3 - 157*x**2 + 7*x - 7. Let a(f) = -3*w(f) + 7*y(f). Find the third derivative of a(m) wrt m.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (-1*sqrt(36))\/sqrt(12)) + sqrt(3))**2 - (-2 + sqrt(3) + -1) - sqrt(15)\/(sqrt(25)\/sqrt(5)*1).\nAnswer: -2*sqrt(3) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 - 5) + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -17 (b) 0.06 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 + 3*i + 2. Let m(t) = -t**3 - 8*t**2 + 176*t - 74. Let n be m(-18). Let l(f) = 6*f - 17*f**2 + 4*f - 3*f + 5. What is n*l(z) + 5*v(z)?\nAnswer: -11*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 18. Let a = -6 + w. Suppose a*l - 348 = 74. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1220433 (base 6) in base 14?\nAnswer: -19965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 39\/2. Let m be 1 + 5\/((-15)\/(-6)). Suppose -2*a - q + 5 = 3, -3*q + 6 = m*a. Are v and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3 + 14786*n**2*s**2 - 2*n*s**2 - 14*n + s**2 + 364*s wrt n.\nAnswer: 6*n + 29572*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -17. Suppose -5*f + 560 = 5*z, 587 = y*z + 3*f - 7*f. Calculate the highest common factor of z and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 0.56 (c) -44481\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1955316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 + v**3 - 3*v**3)*(4*v - v - v) - 3594*v + 3594*v - 139*v**4 - 1 - 4*v**4 + 1.\nAnswer: -135*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*m - 0*y + 3*y, 3*y = -4*m + 139. Let t be m\/(-10) - 9\/15. Let d = 2.4 - 2. What is the third biggest value in d, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 9195. Suppose 5*z + q = 27284. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 2*v - 15 = 0, -700*v + 704*v = -c - 33 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56687522 is divided by 726?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yysyyyyyyyyynyyyyy. Give prob of picking 3 y.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -33*n**2 + 16*n**2 - 13 + 18*n**2 - 14*n. Let q be z(15). Factor 0 + 0*d - 2\/9*d**q.\nAnswer: -2*d**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u + 2. Suppose 0 = -4*r - 4*t - 6 + 2, -3*t - 19 = -5*r. Give m(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -179651635*q**4 - 90606374 wrt q?\nAnswer: -718606540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**3 + 2410*x**2 + 4805*x + 2400 = 0.\nAnswer: -480, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 3*f = -4*f, 0*z - 3*z + 2*f = -7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6458 + 9818. Is j a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63136 and 126272?\nAnswer: 126272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*b + 450552 + 411283 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (5 + 0))*(11 + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 614632960 by 249344.\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5\/21, 1.2, 4, -1, -30?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*(-246)\/(-779))\/((198\/4)\/3)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*t - 16*t**2 + 75*t + (-t**2 - 2 + 2)*(-3 + 2 + 0) + (0*t - t + 0*t)*(-6*t + 12*t - 5*t).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12370198?\nAnswer: 2, 6185099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 3, 5, -5 in ascending order.\nAnswer: -12, -5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5380 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 + 1663*p**2 + 381*p**4 - 1628*p**2 + 45*p**3 + 5011*p - 381*p**4 + 9*p**3 wrt p?\nAnswer: -20*p**3 + 324*p + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2838 = -18*m + 24*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -11771290.\nAnswer: 3531387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4\/19)*r**(-3))**(3\/8))**(-7\/12))**(7\/13) assuming r is positive.\nAnswer: r**(2989\/7904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 2*g. Let d be 73\/g - (-10)\/15. Suppose 80 - d = -5*v. Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fquu when four letters picked without replacement from duduuuqff.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + (-357)\/(-34) + (-1)\/(-2). Which is the nearest to -1\/4? (a) o (b) -177 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 82. Suppose -3*x + 10 = 1, 2*d - 53 = -i*x. Solve -7*s + 2*s = -4*r - d, -5*r = 3*s - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 193987413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225285 or -225286?\nAnswer: -225286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 0*q + 0 + 0*q**3 - q**2 + 0*q**4 - 1\/60*q**5. Let h(z) = 0*z - z - z. Determine h(s(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*c**2)*(-126 + 126 - 8*c - 4*c + c - 2*c + (1 - 1 - 2)*(5 - 5 + 4*c)).\nAnswer: 42*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -5 (b) -3.1 (c) 1\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 + 101 + 126*z to the form l*z + v and give l.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -700 + 698 - 180194*h - 15738*h.\nAnswer: -195932*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 51. Let f = h + -7. What is the greatest common factor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 - 11*c**2 - 9*c**2. Let t = 101 - 31. Let s(a) = t*a + 65*a - 136*a. Determine j(s(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540730739.\nAnswer: 3, 23, 22329431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1962)\/436)\/(6\/1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 14*d + 5. Let h(i) = 2*i**2 + 12*i + 5. Let g(y) = -7*h(y) + 6*u(y). Let j(o) = -12*o**2 + 16. Determine 16*g(n) + 5*j(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209)\/38*3\/6*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/20)\/a**(-1\/37)*a**(-7)\/(a\/a**(-1\/2)*a) assuming a is positive.\nAnswer: a**(-6973\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 - n**3 + 0*n**3 + (-2 - 4 + 3)*(-n**3 - 3*n**3 + 2*n**3).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 + 10 = 0, -5*c = 2*s + 10. Find the second derivative of s*f + 16*f + 20*f**5 - 8*f wrt f.\nAnswer: 400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1034 and -0.1?\nAnswer: 1033.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073016 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 - 3*z**2 + 2*z + 6. Let c(j) = j**3 - 4*j**2 + 4*j - 7. Let p be c(3). Is w(p) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*y**2 + 19*y**3 - 38*y**2.\nAnswer: 19*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(45)\/(sqrt(36)\/sqrt(4)) + sqrt(20)\/((sqrt(12)\/sqrt(3) + sqrt(4))*-2 + sqrt(4)))**2.\nAnswer: -16*sqrt(5)\/3 + 164\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-39)*(-12)\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.68795 - 61.65. What is f rounded to 3 dps?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 197 + -196.68. Let a = 6 + -6.4. Let d = a + z. Round d to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 6*x**4 - 16*x**4 + 25*x**4 - x**3 - x**4 + 4*x**3 - 2*x**3 + (0*x + x + 2*x)*(-3 - 2*x**3 + 3) to o*x**3 + h*x**2 + u*x + m*x**4 + g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 14. Let k be (-3 - (-28)\/8)*16. Calculate z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**4\/24 + 5*g**3\/3 + 11*g**2. Differentiate j(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:33 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 727 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*p**2*z + 4*c*p**2 - 2*c*p*z + c*p + 2*c*z - 9*c - 2*p**2*z - 2*p**2 - p wrt p?\nAnswer: -4*c*z + 8*c - 4*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/4 and 59\/600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (352\/(-16))\/2*3\/3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose -2*g = 2*q - 32, -z*g = 5*q - 42 - 34. Let w be (-1)\/q*(-3 + -1). Which is the second biggest value? (a) w (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*x**3 + 1668*x**3 - 107*x**3 - 95*x**3.\nAnswer: 1941*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4 - -6) - -8. Let x(i) = 4*i - 8. Let z be x(o). Let s = z - 15. Calculate the remainder when 76 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**3*x + 678966*c**3 - 29535*c*x**2 wrt x.\nAnswer: c**3 - 59070*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210402 greater than 209599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000054954357 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 668.7 + -658. Put -1\/3, w, -2 in descending order.\nAnswer: w, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-253)\/(-69))\/8. Suppose -v*s**2 + 0 - 1\/9*s - 1\/9*s**4 - 1\/3*s**3 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sdddddssssddd.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -16. Find the first derivative of -2*j**3 - 3 + 2 + b wrt j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143.553 seconds to minutes.\nAnswer: 2.39255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 2 - 1)*(2*t**3 + 2*t**2 - 2*t**2) - 2*t + 2*t + 2*t**3.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -46*k**4 - 6*k**3 + 6*k + 67. Let a(v) = -137*v**4 - 17*v**3 + 17*v + 202. Let c(s) = 6*a(s) - 17*x(s). What is the first derivative of c(i) wrt i?\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -192. Which is greater: w or -71?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 104 - 66)*(3 - 5 - w + 4).\nAnswer: 131*w - 262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6016 is divided by 316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*b - 703 = -717, -g - 20 = 3*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 0)*(0*w - w - w) + 6*w + 1 - 2*w - w)*(15 - 5*w**3 - w**2 - 15).\nAnswer: -65*w**4 - 18*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003555015 to five decimal places.\nAnswer: 0.00356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 89 = 2*n, 4*n - 10 = -n. Sort -5, v, 4 in descending order.\nAnswer: v, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 - 7*a + 5*a - 5*a**2 - a**2 - 4*a**3 - 1 to the form x*a**3 + b*a**2 + p*a + f and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 8*g**2 - g + 4. What is the units digit of v(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + -3) - ((sqrt(3) + 0)*6 - sqrt(3) - sqrt(3)).\nAnswer: -3*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6984 divided by 97\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 94*n + 566. Let f be w(-6). Let u(r) be the first derivative of 12 + 0*r - 1\/2*r**f. Let h(x) = 25*x**2. Determine u(h(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 2*k - 2, -5*k + 31 = -2*m. Suppose -k + 2 = -q. Suppose -3*c = -1 - q. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-2 - 130))*50. Round w to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -1 - 2*b - 2 - b**2 - 3 + 0 + 1. Suppose q - 7 = -10. Give c(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 - 5*y**2 - 4. Let u(i) = 3*i**3 - 9*i**2 + 3*i - 1. Let w(q) = q**2 - q - 1. Let g(z) = -u(z) - 3*w(z). Determine -5*g(h) - 6*m(h).\nAnswer: 3*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90495 and 621?\nAnswer: 6244155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 3760?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375632, -751238, -1126844?\nAnswer: -1502450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7111.000009061 + -7111. What is o rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 316*g*t + 4*g + 25*t + 11470 wrt t?\nAnswer: 316*g + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2 - 3*r**2 + 9 + 5 + 3*r - 11. What is z(-3)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1536523 - -617097. Round d to the nearest ten thousand.\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*h**2 - 4\/7*h + 0 + 4\/7*h**3.\nAnswer: 2*h*(h + 2)*(2*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/2)\/(-15)*684\/(-30) + 9\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w - 1840 + 1910. Suppose 6\/7*r**3 - 9\/7*r**4 + 3\/7 + 6\/7*r**2 - 9\/7*r + 3\/7*r**w = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216 + -92. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 14. Let w be s(-7). Let b = -6 + 9. Solve b = -5*o - w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-5 - sqrt(252)\/sqrt(4).\nAnswer: -53*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 5. Find the common denominator of (-454)\/(-132) + b\/(-6) and ((-57)\/96 + 0)*10.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 6:27 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -27. Let p = w + 15. Which is the closest to p? (a) 1\/2 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.7 - -1.7. Let z = -61.1 - -61. Let n = -12\/53 + 207\/212. What is the smallest value in p, 1, z, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -5) + -4 + (-1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*n + 4*p + 103 = 232*n, -2*p = -3*n + 61. What is the greatest common divisor of n and 3857?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-15 - -33) + -9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906414?\nAnswer: 2, 3, 19, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -8721810*n**2. Let i(u) = -10*u**2. Calculate i(s(r)).\nAnswer: -760699696761000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttdd when four letters picked without replacement from {d: 5, s: 2, t: 2, l: 4}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5429?\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {t: 2, u: 9, c: 3, r: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435 and 64235?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 + 4*g**3 + g**3 - 2*g - 2*g**3 + 2*g + (4*g + 0*g - 2*g)*(-2*g**2 + 2 - 2) + 8*g**2 - 8*g**2 + 2*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/9))\/(r**(-5\/3)*r)*((r\/(r**(1\/5)\/r*r))\/r)**(-12)*(r**(-2)\/r*r)**(-8\/3)*((r**2\/r)\/r)**27 assuming r is positive.\nAnswer: r**(428\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17636 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6704 and 102655?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*f - 117, 5*d = 3*f + 3*d - 84. Suppose -s + 6*s = f. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 2495, 5568, 9829, 15254, 21819, 29500?\nAnswer: 38273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8251.\nAnswer: 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {b: 5, x: 2, h: 2, d: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1992)\/7470)\/(28\/(-6)*1)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + 5 - (sqrt(325)*1 + sqrt(13))**2)*-3 - 1*1*sqrt(468)*3.\nAnswer: -21*sqrt(13) + 1389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 6. Let p be i(-5). Let d(g) = 2*g. Let j be d(p). Let h be (-2)\/(-8) - 190\/j. Solve x + 4*x = -r - 18, 5*x = -3*r - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434388583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.95 - -9. Let w = -0.04988 + p. Round w to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**2\/2 - 419*r. Let w(c) = -2*c + 11. Determine -18*u(t) - 2*w(t).\nAnswer: 4*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532890689?\nAnswer: 7, 361841527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**3 - 38*n**2 + 381*n - 1573. Determine y(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/10710 and 103\/899300.\nAnswer: 56655900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10, -4*t - 80 = 2*d - 4. What is the units digit of (-736)\/t + (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*5475380.\nAnswer: 27376900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*(j*j*j*j\/(j\/j**(-2\/9)))\/j*j))\/j)\/(((j*j*j**(-2\/17)*j)\/j)\/j))\/(j*j**4*j*j**(-3\/4)\/j) assuming j is positive.\nAnswer: j**(-6065\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 47 = j + 51, -35*n + 2*j - 242 = 19*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*n = n + 7, 0 = v + 4*n + 11. What is the nearest to -1 in v, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**7\/k)\/k)\/(k\/((((((k**2\/k)\/k)\/k)\/k)\/k)\/k)))\/(((k**(1\/2)*k)\/k)\/(k*k\/(k*k*k**(-2\/3)))))**(-6))**(2\/17) assuming k is positive.\nAnswer: k**(-2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smss when four letters picked without replacement from ssssssssssssssm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 minus 176?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:25 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -164 + 11 + (-271 - -367)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -32*o + 150. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18150*c - 3*c**3 + c**3 + 5 + 18150*c.\nAnswer: -2*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 7*x**2 - 2*x + 8. Let u be (-2)\/8*2*0. Suppose -d + u*d = 2*z + 13, 4*d + 37 = -3*z. What are the prime factors of l(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 28, 84, 166, 274, 408, 568?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/6*(-45 - -3). Suppose 0 = 5*t - 191 + a. Let d = -20 + t. Solve -d = 4*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16123410 to the power of 1\/2, to the nearest integer?\nAnswer: 4015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53.9 + 57. Let k = 0.9 + p. Let z = -0.1 - -1.1. Sort z, k, 0 in increasing order.\nAnswer: 0, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten ninths of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/7*((-1)\/(-10))\/((-240)\/(-600))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5137432*z - 48 + 10*z**5 - 38*z**2 - 5137388*z - 78*z**3 + 73*z**2 - 2*z**4 + 39*z**2 = 0.\nAnswer: -3, -4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*t + 13*t + 46. What is the hundreds digit of (t - 678)\/(-3*5\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213309745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**3\/6 - 25*q**2\/2 - 41*q. Let a be k(28). Let o(m) = 30 + 7*m**2 - 49 + 25 - 4*m**3 + a*m**3 + 7*m. Give o(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-158)\/(-1659) + 50522\/42 and 4.\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n + 9 = -2*t, 2*t = -6. Suppose 0 = 2*p + n*p - 1095. Is p not equal to 218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {z: 1, h: 2, c: 4, y: 4, w: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*m + 2, -2*m - 3*w + 5*w = 4. Suppose 2*s = -2*k + 10, -5*k + 23 = s - 2. Let v be k + (0 - (3 - 0)). Is m greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 91 = -15*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - m - 11 = 293, 2*v - 3*m - 142 = 0. Let j = -39 + v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 3*b + 1. Suppose 4*k + 0*k + 16 = 0. Let a(c) = -c**2 - 5*c + 5. Let f be a(k). Let m(o) = o**2 - 8*o - 13. Let l be m(f). Calculate g(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(8\/24 + 7090\/(-12)). Let h = c + -8251\/7. Factor -16\/7 - 4\/7*b + 4\/7*b**3 + h*b**2.\nAnswer: 4*(b - 1)*(b + 1)*(b + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(8\/5)\/m**(-10))\/(m**(3\/2)*m\/(m\/(m\/((m*m*m**(-2\/7)*m)\/m))*m)) assuming m is positive.\nAnswer: m**(827\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 200582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-8) - (-1)\/(-4). Let u = 1 + c. Let j(q) = q**3 - 5*q**2 + 2*q - 2. Let i be j(5). Solve u*v + i = -2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*o**2 - 4*o.\nAnswer: -2*o*(9*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668598?\nAnswer: 2, 834299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771340703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116.59 - -116.7. Which is the closest to 0.2? (a) 0.5 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24130375 is divided by 4340?\nAnswer: 4315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -121177 + 710?\nAnswer: -120567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020022 to three dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Suppose 6*q + 4*t = 3*q + 14, 2*q - 32 = v*t. What is the remainder when 18 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2474 divide 82822098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -13, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/665*5 - (-72)\/(-38)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18581699?\nAnswer: 18581699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -58597, -124, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59276.\nAnswer: 2, 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -486 - -345. Let b = -71 - s. Suppose 0*g - 2*g = -b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 23. Let i be l(-23). Which is the second biggest value? (a) 1\/5 (b) 4 (c) 0 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 plus -0.7?\nAnswer: -172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = s + 22. Suppose y - 6 + 0 = -2*o, 6 = -5*y + 2*o. Let v be (-15)\/((1 - 0)\/(-1)). Sort y, s, v.\nAnswer: s, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 4. Suppose g + f - 38 = 0, 2*g = -4*f + 108 - 40. Let q = g - 38. Determine p(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 0.04. Let f = -3 + 3.4. What is the nearest to i in 3, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*(2989\/(-196) - -15)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 423? (a) -0.9 (b) 6 (c) 2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u**2 + 6*u - 1. Let r(v) be the second derivative of v**4 - 11*v**3\/6 + v**2 + 4*v - 57. What is 11*h(d) + 6*r(d)?\nAnswer: 6*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 1. Let o(w) = 6*w + 2. Suppose 3*s - 6 - 6 = 3*v, 5 = 3*s + 4*v. Suppose -s*b = -6*b + 24. Determine b*x(d) + 5*o(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 3\/7, 179.\nAnswer: -2, 0.2, 3\/7, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -o - 3*o + 76, 3*y = -o + 119. Suppose -48*k - 464 = -y*k. Which is smaller: k or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 910*b + 160. Let k be r(-12). What is k rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let v(b) = -b**3 + b**2 + b - 7. Let c(k) = -k**2. Let n(j) = z*v(j) + 4*c(j). What are the prime factors of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0*c + 11\/6*c**3 + 0 - 2*c**2 + 1\/24*c**4. Let o be s(-6). Calculate the highest common divisor of 55 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.063, -0.3, 2\/11, -0.2, -1\/3, 2, 0.038?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58328213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/100 and 59\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 5 + 79 = 0. Solve -2*i**3 + i - 12*i**2 - 16*i - j + i**3 - 2*i**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48426, 96963, 145500, 194037, 242574?\nAnswer: 291111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrqsrqqq. Give prob of sequence qqrs.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:30 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770 + 7 = -208*t - 1303 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239753697?\nAnswer: 3, 4337, 18427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -341*q - 154. Let f(v) = 22*v + 10. Let l(o) = -77*f(o) - 5*n(o). Let t(x) = -72*x. What is t(l(i))?\nAnswer: -792*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -34)\/((-429)\/26 - -15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + 1. Let i be 2\/(-5) - y\/(-25). Let t = 0 - 0.2. Sort i, t, -3 in descending order.\nAnswer: i, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/14*(0 + 2). Let u be 40\/(-14) - (-1 + f). Which is greater: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -1068314\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3 + 1599*o**2 - 10992*o - 28404 = 0. What is o?\nAnswer: -2, 9, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2146128846 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 155*y - 29497. Give z(-111).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9467741 to the power of 1\/2, to the nearest integer?\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/((z\/(z**(1\/7)\/z)*z)\/z))\/(z**(-3\/8)\/(z\/(z**(-5)*z)))*(z**(-5)*z*z)\/((z**(2\/5)*z)\/z)*z\/(z*z**(-4))*z**2\/z assuming z is positive.\nAnswer: z**(-247\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + z**3 + 0*z**3)*(-z - z + 4*z) + 20*z**3 + 87*z**4 - 31*z**3 - 65*z**4.\nAnswer: 24*z**4 - 11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 + 1)*(-2 - 3 + 1) - 1 + 7 - 2)*(2*s + s + 6*s) in the form i + p*s and give p.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.6. Let v = -0.7 + 0.4. What is the nearest to 2\/3 in 6\/7, g, v?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -16a077?\nAnswer: 16a07b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038303689 rounded to 7 decimal places?\nAnswer: 0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (-2606)\/(-14) - 16\/112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9787.142 milligrams?\nAnswer: 9787142000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.72971 to three decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -204*q - 3 + 0 + 202*q. Suppose i + 0*i = 8. What is x(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -221, 9, 389, 919, 1599?\n\"Answer: 75*h**2 + 5*h - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x, -3*x + 25 = 5*r. Suppose -c = -h + 9, -2*h = -r*c - 9 - 6. Solve -j + l = 5*l + 15, 2*j = 2*l + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 30 - 9*p + 3*p - 5 + 14*p + 1. Let u(s) = 2*s**2. Give u(x(g)).\nAnswer: 128*g**2 + 832*g + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6\/7, 0.0645, -1, 2\/9, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 1 = 3*r, -u = -2*r. Suppose u*w + 8 = -8. Let o(l) = -l**2 - 9*l + 3. List the prime factors of o(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v + 61*v = 360. What is the lowest common multiple of v and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18793.067 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 + 2.27. Let v = 209 + -214. Which is the closest to -0.3? (a) l (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149539 (base 10) in base 16?\nAnswer: 24823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.6410971 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*f - 21. What is the third derivative of r**2 - 2*r**2 - 90*r**5 + 107*r**f wrt r?\nAnswer: 1020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3 (b) -2\/17 (c) -87\/32 (d) -3 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2156088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72521 + -3?\nAnswer: -72524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**3\/6 - 17*t. Suppose 5*v + 0*v - 25 = 0. Let o(h) = 0 + v*h**2 + 0. Calculate o(y(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*k + 34*k + 1724 + 160 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2933976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -926, -1853, -2780, -3707, -4634, -5561?\n\"Answer: -927*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/9, -3, -31?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(0 + 3\/(-6)). Let v be ((-5)\/(-2))\/((-1)\/(-2)). Let u be 8\/36 + (-4)\/18. Solve u = -5*n - i + d, -v*n + 4 = i + i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129782.\nAnswer: 2, 64891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 1. Let k = -11 + 26. Let i = 21 - k. Let z(y) = -y + 2. What is i*n(c) + 3*z(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-13)*g\/(g**(1\/19)\/g*g) assuming g is positive.\nAnswer: g**(-229\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 0. Let f = -79 + 189. Let n = f + -109.6. What is the smallest value in -3\/4, j, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(1\/5))*b**(-4)*(b*b*b*b\/(b**(-2)*b))**(-33) assuming b is positive.\nAnswer: b**(-846\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6))\/(1\/8) - -1. Solve -s*w + 0 = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + -1)*(12 - (-130046)\/56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1316)\/(-280) - 4\/((-80)\/6). Put k, -2, -64 in ascending order.\nAnswer: -64, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/128 and 79\/10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14459 + 14491.126. Round k to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*j + 30 = 5*u, -2*u = -5*j + 9. Let t(s) be the second derivative of 1\/5*s**2 + 0 + 3*s + 1\/20*s**4 + 7\/30*s**u. Find w, given that t(w) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 394325879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5 - 65*l**3 + 35*l**3 - 14*l**4 - 19*l**4 = 0?\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofj when three letters picked without replacement from voojbfo?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 10:21 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 14, 12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = 35*v + 70*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 152108 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 - 2*i**5 - 5*i**3 + (-i**4 + 2*i**4 - 2*i**4)*(-1 + 2*i + 1) - i**5 + 2*i**5 + 2*i**5.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 26 = -4*j, 2*n - 44 = 2982*j - 2987*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12800913 divided by 16603\nAnswer: -771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90567426 to the nearest integer?\nAnswer: 9517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -0*h + h. Let k = h - 65. Let t(y) = y**3 + 8*y**2 + 7*y + 4. Let s be t(k). Put s, 3, -4 in descending order.\nAnswer: s, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5197, 10396, 15585, 20758, 25909, 31032, 36121, 41170?\n\"Answer: -o**3 + o**2 + 5203*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 69*w + 1. Let t(c) be the first derivative of c**4\/2 - 2*c**3\/3 + c**2\/2 + 3. Let u be t(1). Calculate the remainder when n(u) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(44)\/sqrt(4)) + sqrt(80)*-6)**2.\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -498 + 499. Let x = -124.03 - -122. Let o = x + 0.03. What is the closest to o in 0.5, 5, r?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 7*j + 484*j**3 + 17*j - j**2.\nAnswer: 484*j**3 - j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(684)*-3*-6)**2 + -3*sqrt(684)*-2*-5 + 1.\nAnswer: -664847 - 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -334*d. Let b(u) = -2274*u**2. Give b(c(w)).\nAnswer: -253678344*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3912.833nm?\nAnswer: 0.000000003912833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**5\/20 + 7*m**4\/12 + 5*m**3\/6 + 4*m**2 + 5*m + 4. Let h(t) be the first derivative of j(t). Determine h(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -137*w + 138*w + 18, -56 = -4*c + 4*w. Suppose 0 = 5*o - 25, -4*u + 4*o = 16 - 4. Solve 0 = 2*f - u - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - i = -i. Let s be 12\/(-10)*1\/(-2). Is s greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1848 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4056282?\nAnswer: 2, 3, 225349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**2 - 3*i - 20 - i + 20 + 47*i**2.\nAnswer: -2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -2879*a**5\/60 + a**4\/8 - 5*a**3\/3 - 14*a**2. Let r be h(-5). Round r to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4784 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 123 = -3*d, 2*d = 6*g + 79 - 25. Solve -d*u + 27*u - 45 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 36*w - 11. Let q be b(6). Let x = q + 575. Calculate the greatest common factor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 5, -1, -42, -1275?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1542 + -20?\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from yisiiiiyiiiiiiiii?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*3*(-5)\/(-21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**4 - 6*a**2 + 6*a - 73. Let g(d) = -22*d**4 - 17*d**2 + 17*d - 220. Let m(h) = 6*g(h) - 17*t(h). Differentiate m(n) with respect to n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312.7096698412 minus 2?\nAnswer: 2310.7096698412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 100874424?\nAnswer: 100874427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + (-345)\/(-66) - (13 + -10) and 151\/42?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -912386.\nAnswer: 13\/456193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*f + 117 = -0*f, 2*j - 4*f = 42. Let q be -2*1*j\/(-10). Suppose -119 = -2*h + q*a + 125, 4*h = -a + 488. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 - 6. Let p be l(3). Let d(u) be the second derivative of u**5\/20 + u**4 - 2*u**3\/3 - 5*u**2\/2 - 8*u. Is d(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6.6 (b) 1 (c) 2\/7 (d) 185\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 3*o - 3*o)*(4*o + 0*o - 3*o) - 2*o + 0*o**2 + 4*o + 2*o**2 in the form m*o**2 + c + q*o and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z + 11*z = -1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 + 10 = 0. What is the common denominator of g\/(4*(-1)\/(-4)) and (-2)\/6 - (-118)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2318000 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -158, 1\/4, 4230?\nAnswer: 4230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qceqcehechvb. What is prob of picking 1 b and 1 h?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, c: 4, g: 6}. Give prob of sequence qc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - y + 8 - 29, -2*y = 2*n + 2. Let c(v) = 51*v + 14 - 4 - 21*v. Let p be c(n). Round p to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - -52) + -3 + (607 - 616).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*3\/18*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*h - 6, y + 3*h - 4*h + 1 = 0. Solve 24 = -i - y*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 10\/21 (b) 0.08 (c) 1 (d) 6\/13 (e) 29\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 8:43 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 13*u**2 - 1854*u + 21763. Calculate l(12).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10399, 41632, 93703, 166624, 260407, 375064, 510607, 667048?\nAnswer: 844399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-36) - 48\/(-32)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = i - 2*t, -5*i - 3 = -2*i + 3*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -525, 5, 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + (sqrt(190) - (-1*sqrt(190) - sqrt(190) - sqrt(190))))*3)\/(-5*sqrt(10)*1))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23890076*u**3 + 2*u + 11945036*u**3 - 4*u + 11945037*u**3 + 2*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 6:15 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009035 rounded to six dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/11 + 23022*p**3\/11 + 66515420*p**2\/11 + 1516553856*p\/11 - 3299353600\/11 = 0.\nAnswer: -5744, -25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9025, 34517, 76995, 136453, 212885, 306285?\nAnswer: 416647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6453991878?\nAnswer: 2, 3, 15649, 68737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 6*i - 1. Let z be n(6). Let j = 8 + -7. Let y be 12\/42*14 - 12. Sort j, z, y in ascending order.\nAnswer: y, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 29. Let f be (-4 + -2 - 3)*-1. Let r = f + -8. What is the second smallest value in r, m, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/5 - 102*s**3\/5 - 564*s**2\/5 - 1096*s\/5 - 144.\nAnswer: -2*(s + 2)**3*(s + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33630 and 6270.\nAnswer: 369930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5836667?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19087 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*c**3*q**3 + 2*c**3 + 31*c*q**3 - 2*q**3 - 16*q**2 wrt c?\nAnswer: 2232*c*q**3 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/((-128)\/160)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 238\/9 (b) 0.24 (c) 0.14 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmzzmmzmmzmm. Give prob of sequence mzz.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110101010001 - 1101100?\nAnswer: -10111110110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 17*o - 94. Let w(u) = 21*u - 94. Let d(z) = -2*c(z) + 3*w(z). Differentiate d(j) wrt j.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 16*l**2 - 19*l - 19*l + 54 + 36*l - 57 to q*l**2 + o*l**3 + a + v*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.765+0.1239\nAnswer: 0.8889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, v: 3, w: 7, q: 2}. Give prob of picking 1 a and 3 v.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -306*a*f - 1142*f with respect to a.\nAnswer: -306*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 7*y - 383 = -28*h, -106703*y - 67 = -106702*y + 3*h - 8*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) 2 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 149*q**4\/6 + 15*q**3 - 100*q**2. Find the first derivative of m(a) wrt a.\nAnswer: 596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10779 is divided by 284.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16110)\/75 + (-1)\/5. Let q = -103 - l. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -985.1 - -985.19. Which is the closest to 0.1? (a) x (b) 12 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 705743.\nAnswer: 227, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*f + 2 - 9*f**2 + 110*f - f**3 as j*f**3 + a*f + c + p*f**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 4376*m + 64740.\nAnswer: 4*(m - 1079)*(m - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6272.9 + -6373. Round f to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*h**5)*(38 - 31 + 119) + 0 + h**5 + 0.\nAnswer: 379*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.28, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u. Let i be s(1). Let v be 3*i\/30*5. Find the third derivative of -4*t**2 + 9*t**2 - 10*t**v - t**4 + 2*t**4 wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 61 - 20*x)*(-x + 3*x + 0*x)*(-58 + 15 - 44)*(-2 + 5 - 1) to the form m + q*x**2 + p*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -605 - -613. Suppose -c + 3*g + 4 = -d, 3*c - g = 52. Suppose 0 = -z - 0 + 2. Calculate the smallest common multiple of z and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) - 26\/5. Let q(r) = -r**2 - 4*r + 7. Let c(p) = -2*p - 39. Calculate the smallest common multiple of q(f) and c(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 11*d**2 - 705*d + 6946. Calculate w(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c + 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 26.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -490, -987, -1482, -1975, -2466?\n\"Answer: l**2 - 500*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s\/((s\/s**0)\/s))\/s)\/s)**44\/(s**(-5\/3)\/((s**(-1\/5)\/s)\/s)) assuming s is positive.\nAnswer: s**(652\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/5 - 85288*m**2 - 11304465792*m\/5 + 3268051877376\/5.\nAnswer: -4*(m - 286)*(m + 53448)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 153*b + 149*b + 153227 = 0, 3*l = 4*b + 459761. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 17) + (-382 - -360).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -103.9. Let j = -8.9 - l. Let o = j - 2.3. Round o to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 746603196*n - 69677041534676802.\nAnswer: -2*(n + 186650799)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 53542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5124 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12*m**2 - 64*m. Suppose 4*p + 3 = s, -s - p = -4*p - 1. What is the least common multiple of q(s) and 152?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67168*a + 67154*a - 280 = 0 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38403589 or -38403596?\nAnswer: -38403589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/1015 and -61\/264567.\nAnswer: 9259845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -0.2. Let u = 6603.6 + -6604. What is the third smallest value in 1, -2\/25, q, u?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8808)\/(-4)*(-2)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1066 + -1060. Solve 0 = -17*i + 15*i + m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac6c - 4?\nAnswer: ac68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.08584287 - -0.08584223. Let u = -13 - o. Round u to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -642*k - 69*k - 216*k = -10197 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8.8 in 1\/3, 2\/9, -454, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1404387 divided by 2.\nAnswer: -1404387\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303513106?\nAnswer: 2, 13, 19, 23, 26713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3511 by 5.\nAnswer: 3511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -38618 + 0.4?\nAnswer: -38617.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/2*4\/(-10). Suppose -7 - 9 = -4*k. Suppose k*j - 1 = -21. Is c at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 87. Let y(d) = -2*d + 43. Let n(z) = 3*a(z) - 5*y(z). Does 6 divide n(31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-26)\/f**0)**(-41) assuming f is positive.\nAnswer: f**1066","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 198897313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.4515 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9590135, 9590139, 9590143, 9590147, 9590151, 9590155?\nAnswer: 9590159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-10)*m)\/(m**(9\/2)\/m))\/((m\/m**(2\/5))\/m)**31 assuming m is positive.\nAnswer: m**(209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(324))\/sqrt(12)*6 + -3 + sqrt(75) + (1*sqrt(3) + -2)**2.\nAnswer: -17*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9592 - 3864. Is i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 202473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, 4\/1723, 0.3, -0.2, 3\/7, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 * 2.79\nAnswer: 30.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60464360 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 259764879*k**2*l - 132517144*l - 2 wrt k.\nAnswer: 519529758*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.88947 and 0.92806989.\nAnswer: 2.81753989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10080\/2100 + (-368)\/10.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {l: 3, i: 9, u: 3, m: 5}?\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11624586.\nAnswer: 2, 3, 37, 52363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2124 (b) 0.6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16488\/20737 + 70\/89. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1778423, -1778356, -1778289, -1778222?\nAnswer: -1778155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 7*t**4\/12 - 13*t**3\/6 + 36*t**2. Let r(c) = 8*c - 6. Let p(b) = 6*j(b) - 13*r(b). Let z(w) = 4*w**2. What is z(p(l))?\nAnswer: 1600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52106, 52274, 52442, 52610, 52778?\n\"Answer: 168*g + 51938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12860 and -109\/8937700?\nAnswer: 8937700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-9 + (-6 - -10)) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 - 6*x**2 + 9*x**2 + x**2. Let k(v) = 2*v - 4*v + 0*v. Calculate k(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*-1 + (-28)\/(-14). Let j(y) = -6*y**3 + 7*y**2 + 14*y + 13. Is j(q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139159500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n - n + 4*n)*(-n**3 + 2*n**3 - 2*n**3) + 7*n**4 - 3*n**4 - 2*n**4 + (-2*n - n + 5*n)*(-607*n - 77*n**3 + 607*n).\nAnswer: -150*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 555632 - 0.1331\nAnswer: 555631.8669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28377 or -28375?\nAnswer: -28375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4583 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 17*x - 8. Let f(z) = 2*z**2 - 6*z + 3. Let n = -18 - -22. What is n*t(h) + 11*f(h)?\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 153 + -8)\/((-6)\/4). Let d = u - -78. Let o(i) = i + 15. Give o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -87, -50, 21, 138, 313, 558?\nAnswer: 885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + -16 - (0 - ((5 - 0) + -4))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 277200 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Let t(f) = f**2 - 20*f - 34. Let d be t(18). Let b be ((-3)\/(-5))\/((-14)\/d). Do b and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y + 25*y = 10*y + 405. Factor -21\/2*b + 3\/2*b**2 + y.\nAnswer: 3*(b - 5)*(b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1582404.51528044 and -0.02.\nAnswer: -1582404.53528044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 2 - 2 + (-2 + 0 + 4)*(-3*z - 5*z + 18*z).\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6*(-3)\/(-1). Let v(h) = -1 - 6 + 2 + 4. Let u be -2*((-1 - -5) + (-590)\/236). Let x(b) = b + 1. Determine g*x(i) + u*v(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000337293 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62808740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34, -68, -84, -70, -14?\n\"Answer: 2*v**3 - 3*v**2 - 39*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(330)*2)\/sqrt(10))\/(sqrt(3) - (sqrt(75) + 2*sqrt(75))) + -4)*1)**2.\nAnswer: 8*sqrt(11)\/7 + 795\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 16, -5, 3, 1393.\nAnswer: -5, -2, -1, 3, 4, 16, 1393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/36 and 49\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = 8. Let m be ((-1)\/z)\/((-1)\/(-4)). Let v be (m\/2)\/(5\/(-80)). Calculate the greatest common factor of v and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28576977 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 5, d: 1, c: 6}. What is prob of picking 1 z, 1 h, and 1 c?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 4*q**2 - q. Let i be j(-4). Let z be (18\/i - 1)*-2. Let p = -4 - z. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34639475, -69278946, -103918417, -138557888, -173197359, -207836830?\n\"Answer: -34639471*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 2. Let m be s(-2). Let f be (-167 + 1)\/(8\/m). Suppose -3*t + t = 3*x - f, -43 = -t - x. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -140*y**2 - 6 - 5*y**3 + 12 - 47*y**2 - 5 - 2 as a*y**2 + z*y**3 + x*y + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, -4049, 1 in descending order.\nAnswer: 1, -3, -28, -4049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1522 + 1534.42. Let j = 1.42 - q. What is the closest to j in -0.1, -3, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5537 - -5572. Let n = 345 + -15. What is the remainder when h is divided by n\/27 + (-4)\/18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 times 149?\nAnswer: 506.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 574, 439, 214, -101?\n\"Answer: -45*b**2 + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166944, -166946, -166950, -166956, -166964, -166974?\n\"Answer: -h**2 + h - 166944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15345 + -523?\nAnswer: -20312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20020 - 1?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/7 - 20*s**2 + 809*s\/7 - 670\/7 = 0 for s.\nAnswer: 1, 5, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.51 + -9.01. Let l be (-10)\/(-12)*(-1)\/5. What is the smallest value in 2\/13, w, 1, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 2*n + 2. Let j(z) = z**3 + 9*z**2 + 8*z + 3. Let y = -19 - -11. Let w be j(y). Suppose -w*p - 19 = -7. Let b(o) = 1. Calculate p*b(i) + h(i).\nAnswer: -i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13286)\/1204 + 2*(-55)\/(-10))\/(3\/(-4))?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -19*k**6\/30 + 5*k**4\/6 - 3*k. What is the third derivative of m(b) wrt b?\nAnswer: -456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 - 4*o**2 + 16*o.\nAnswer: -2*o*(o - 2)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - y - 5*y + 29*y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*6\/(-15)*-10. Suppose 2*k = z - 9, -2*k + 6 = -5*k. Let y(o) = o**3 - 4*o**2 + 2*o - 1. Let c be y(3). Put c, b, z in increasing order.\nAnswer: c, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2\/2 - 12*t + 56. Give j(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -34a86227?\nAnswer: 34a86223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.196 - 113.196. Let u = -112.68 - l. What is u rounded to two dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16737\/11 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 + 32*t**2 - 32*t + 45. Calculate x(15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -37783\nAnswer: -3\/37783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:04 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -25.9. Let z = -0.2 + 3.2. Which is the nearest to -1? (a) z (b) -1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4362 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s**2. Let y(t) = -3*t**2 - 5*t. Let d(u) = u**2 + u. Let b(i) = 5*d(i) + y(i). Determine b(k(n)).\nAnswer: 128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -232*d**2 + 12525*d + 98. Calculate m(54).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.11 + 0.11. Let p = -15 - q. Let z = -5 - p. Which is the closest to -2\/3? (a) -0.2 (b) -1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -i. Let g(b) = -4*b - 8. List the prime factors of g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 53 + 21 = 0. Solve -k = -2*g, t - g = 2*g - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 d when two letters picked without replacement from {a: 5, o: 2, e: 2, g: 2, d: 2}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/77990 and -67\/93588.\nAnswer: 467940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2995927 + 4435116 = 107*d. What is the ten thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, -6, -3, 1, -82651 in descending order.\nAnswer: 5, 2, 1, -2, -3, -6, -82651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47849.927 - 47817. What is r rounded to 1 decimal place?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10553?\nAnswer: 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 + 9*s - 3. Let z be j(-4). Let p = z + 303. Suppose -6*b = -12*b + p. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2, 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4553 + -2815. List the prime factors of u.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m**3 + 3933*m - 3915*m - 9*m**3 to the form k*m + t*m**3 + j + s*m**2 and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 13) to base 3\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 0)*128\/(-48). Let v be 2\/l*48\/186. Suppose 2*x + 5*w + 15 = 0, 2*w - 9 = 3*x + 5*w. Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/1*-1*(-110)\/(-6). Calculate the remainder when 49 is divided by (-4)\/1 + (68 - g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -4*b + 9, -3*b + l + 0*l = -23 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5606 less than -0.9?\nAnswer: -5606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4603*r**3 - 4*r**2 - 8*r + 23 wrt r.\nAnswer: -27618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b**2 + b + 1. What is u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (0 - -4 - (1 + -8)) - 7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1095*x + 13109 = 915*x - 67291 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, b: 1, r: 2, m: 1, q: 3}. Give prob of sequence bm.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 0*u - 2*u**4 - 5*u + (0*u + 0*u + 2*u)*(4 - 4 - u**3) in the form v*u + t*u**3 + d*u**4 + i + k*u**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14be - -2?\nAnswer: -14bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 232*k**2 + 2*k - k - 4*k + 14 - 26 to j*k**2 + g + a*k and give j.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 7*g**2 + 2. Let z be y(-7). Let p = 446\/7 - 63. Which is greater: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306824.\nAnswer: 2, 7, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40089 and 41538.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-10) + ((-6664)\/1105)\/8\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85424 and 1508.\nAnswer: 32204848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41 + -7 - -8) + 68.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 13) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/16)\/((-935)\/132).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 plus 3790?\nAnswer: 3272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-18))\/(6\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7245?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g - 80*g - 33 = r, -r + 4*g - 15 = 0. Sort r, 10, -10 in increasing order.\nAnswer: r, -10, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 - -9) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2907986, -2907991, -2907996, -2908001, -2908006?\n\"Answer: -5*z - 2907981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97\/2*(-1 + 3)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = -1. Factor -3*a**2 - w*a + 13*a**2 + 13*a.\nAnswer: 2*a*(5*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (3 - (7 + -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-2577)\/(-3) + 1. Suppose 314 = -5*w - 4*v + 1178, -3*v + b = 5*w. Calculate the greatest common factor of 43 and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 20*x**2 + 4*x - 3. Suppose 2*z + 5*a - 26 = -z, -4*z = 5*a - 28. Calculate the remainder when q(z) is divided by -1*(2 - 12*2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/70)\/(25\/(-15)*24\/100)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -2\/3, -0.17, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 89\/2 + 7\/14. Suppose -a = 4*i - 597. Let k be (-8)\/(-24) - 70\/i. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4\/7 (b) -0.2 (c) 4\/7 (d) 0.3 (e) -3 (f) 679 (g) -26\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20522511 - -5?\nAnswer: -20522502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -169, -150, -117, -64, 15?\n\"Answer: b**3 - 2*b**2 + 10*b - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s. Let u(m) = -71*m**2. Calculate x(u(j)).\nAnswer: 710*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*r**2 + (11*r + 4*r - 4*r)*(-3*r + r + 3*r + (4 - 5 + 3)*(r + 5*r - 5*r) + 3*r + 2*r - 2*r - r + 2 - 2).\nAnswer: 53*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 5*p + 6. Let x be o(-3). Let j(u) = 5*u**2 - 10*u + u**3 - 15*u**2 + x*u**3 - 8. Let s be j(11). Solve -5*d = 5*f - 10, d = 2*f + 2 - s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38149914 and 297?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -295*v. Let b be o(-2). Let d = b - 375. Suppose 0 = -a - 3*g + 34, 4*a - 187 = 2*g + 3*g. What is the greatest common factor of a and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -39. Let i be 1*-2 + c\/8. Suppose -250 + 608 = -179*g. Which is smaller: g or i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/6 + p**3\/2 - 6*p**2 - 7*p. Suppose 2*n + 16 = 5*d - 2, 5*n + 45 = -4*d. Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.6162 + -33553142.\nAnswer: -33553137.3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213967)\/4983 - ((-18)\/(-297)*-65 + 8\/2).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.7 rounded to zero dps?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19078 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: Find the second derivative of -97234*a**3*m**3*w**2 - a**3*m + 8*a**3*w**2 - 15*a**2*m**3*w - 2*a*m**3 - 45*a*m**2*w - 39*a wrt w.\nAnswer: -194468*a**3*m**3 + 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-7 - -1 - -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.2 + 0.2. Suppose 4*m - 9 = 9*m - 3*r, -5*r = -3*m + 1. Which is the third biggest value? (a) -5 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 5 = 2*w - 2*g, -7*g + 4*g + 27 = -8*g - 4*g for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4392, 4353, 4254, 4065, 3756, 3297, 2658, 1809?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.86 + 5. Let g = v + -0.14. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*o + 4*o + 1, 3*o = 5*q + 8. Let i be (6 - 2) + -5 + 2. What is the closest to 2 in q, -1\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/59670 and -11\/108?\nAnswer: 119340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -5. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 108. Let k be f(45). Let s = k - -507. Put 1, 2, 0, s in decreasing order.\nAnswer: s, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 21*n**2 - 10*n - 15. Let a(w) = -2*w**3 - 41*w**2 + 21*w + 28. Let g(v) = -3*a(v) - 5*z(v). Does 17 divide g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58864395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/11))\/o)**36)**(-5\/2) assuming o is positive.\nAnswer: o**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:56 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551845?\nAnswer: 5, 7, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -21. What is the tens digit of 20 + (-4)\/(q\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w = 0. Let c(m) = m**3 + m**2 + m + 4. Let l be c(w). List the prime factors of -1*((l - 4) + -47).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11637 - 7746. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1451 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0760809 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/484 and 61\/1474?\nAnswer: 32428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 66154650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -9623.59 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.02762 (b) 0 (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 12:13 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.205 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 287207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*c + 54*c + 99. What is the remainder when 66 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1483125 or 1483126?\nAnswer: 1483125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*k = -6*k + 3, y + 5*k - 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 8. Let r(s) = -9*s - 17. Let q(t) = -17*t - 30. Let p(w) = 6*q(w) - 11*r(w). Give 4*l(h) + 5*p(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*x = -114 - 1129 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24174341131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15092*h + h**2 + 15096*h - 30188*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41758491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i. Let b(v) = v. Let d(s) = 5*b(s) + o(s). Let q(p) = 1. Let y = -37 - 5. Let j(r) = 7*r - 42. Let u(m) = y*q(m) - j(m). Give u(d(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715433 is divided by 236523?\nAnswer: 5864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1539) - 1*sqrt(1539)) + -3)**2 - (sqrt(1539) + (sqrt(1539) + (sqrt(1539) - sqrt(1539)*-2))**2)*6 - (-4 + -1*sqrt(1539))*-6) + -1.\nAnswer: 216*sqrt(19) + 295517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1 (b) -1\/3 (c) -2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -299*z. Let m(d) = 30*d. Calculate j(m(q)).\nAnswer: -8970*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3355528 and 789536.\nAnswer: 13422112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4 + 732*v**3 - 735*v**2 - 1466*v = 0?\nAnswer: -733, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 3*x - 477 + 10 + x + x.\nAnswer: -2*x - 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/216*4)\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -620 + 620.186. Is 0.08 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from ckkcccccccccckcc?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2\/3*m**3 + 0*m**2 + 6 - 1\/4*m**4 + 2*m. Let g(z) = z**3 + z**2 - 1. What is -c(d) - 2*g(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 1\/4*b**6 + 0*b**3 - 3\/8*b**4 + 0*b**2 + 0*b**5 - 30 + 0*b. Factor k(o).\nAnswer: 3*o**3*(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 - 1)*(-2*m - 2*m + 3*m + 2).\nAnswer: -6*m + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 10?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*b + 2588 = 0, 4*w + 1279 = 6*w - 3*b. Suppose 24*s - w = -68. What is the smallest common multiple of s and 303?\nAnswer: 2424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320*-8.34.\nAnswer: -2668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/25*(-80)\/(-608). Is o equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 + 57. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33521272 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 194*j**3 + 122*j**3 - 9 + 10 to t + r*j**3 + p*j**2 + f*j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*s = 1920, -2*h - 194 = -2*s - 944. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 11*l**2 - 8*l + 19. Determine p(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85.4 - 3.6. Let r = z + 89.332. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*h - 7*h + 78652, -8 = -2*h. Suppose 3*n - j = -1091. Let t = 53711\/11 - n. What is the common denominator of t and 47\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -5585\/218?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436 (base 9) in base 11?\nAnswer: 8a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 + 6*a + 5. Suppose 7 = 2*o - 5. Is x(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - 11) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24361 - -24352. What is the third smallest value in l, 3, 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113830 is divided by 1255?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65 + 71*u**3 + 52*u**4 - 71*u**3 - 55*u**4)*(u - 5*u + u - 6*u + 3*u + 4*u + 0 + 0 + 2*u - 4 + 4 + u + (-3*u + 5*u - u)*(2 + 2 - 3) - u + 2*u + u).\nAnswer: -12*u**5 + 260*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, t: 1, h: 7}. What is prob of picking 3 h and 1 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77253 + -3460?\nAnswer: 73683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240411 and 8203?\nAnswer: 3125343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 45*j**2 + 2*j - 1. What are the prime factors of c(1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-18))\/(4*(-7)\/42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 5*g + 4. Let y be q(4). Let k(h) = y*h - 3*h + 2*h. Let p(o) = 2*o. Let v(j) = j. Let r(d) = -3*p(d) + 8*v(d). Calculate r(k(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 294 - 292. Suppose 0 = 5*d - d - s*f - 1682, f = 1. List the prime factors of d.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mzzmzmzzmzzmmmmzmzz?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let m(j) = -2 + 5 - j**3 + j + 3*j**3. Let b(x) = -x**3 - x - 2. Let o(q) = h*m(q) + 3*b(q). Find the second derivative of o(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -n, -n - n = 5*k - 13. Suppose 0 = 2*r - n + 8. Let s be (20 - (6 - 2)) + r. Solve -2 + s = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426942 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60941105?\nAnswer: 5, 43, 283447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -890.66 + 898. Let f = j - 7. What is f rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21680544 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35*-1*9\/(-15). Let k = -9 + u. Let a = k + -3. What is the smallest common multiple of a and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684 = 25*g - 21*g + 10*z + 60*z - 12*z, 2*g + z = 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 2)*(-4)\/(-12). Let i be (-40)\/(-12) + (1 - (g + 2)). Let y = -6 + i. Which is bigger: 6 or y?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 6.62\nAnswer: -0.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -50*w + 493 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/60 + 60*y**2. Let k(c) = 4*c + 4. Calculate v(k(s)).\nAnswer: 16*s**2 + 32*s + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 348*c - 1944.\nAnswer: -4*(c - 81)*(c - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**2\/2 - g - 5. Let w(n) = 2*n - 2. What is 8*l(d) - 3*w(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27471, 113633, 257235, 458277?\nAnswer: 716759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2471 = -7*x + 8*x. Let h = 3974 - x. Suppose o + 2*t - h = 0, o + 2*t - 1512 = 3*t. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -160*y**2 - 697*y + 547. Calculate a(-5).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12) - (-1)\/(-4) - 51\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7*w**2 - 2*w + 3. Let c = -9 + 3. Let t(x) = 13*x**2 - 5*x + 7. Let y(q) = c*t(q) + 11*g(q). Let v be (-2)\/12 + (-111)\/(-18). Determine y(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b*b\/(b\/b**(1\/11)*b))\/((b**(6\/11)\/b*b)\/(b\/(b*((b**1*b)\/b)\/b))))\/(b**1\/b**(-3))**25 assuming b is positive.\nAnswer: b**(-2265\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a millennium in decades?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 28. Let d be 118*(x + 5\/(-10)). Suppose 4*n = d + 65. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*x + 10262 - 13052 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232639 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 3*z**2\/2 - 4*z + 5. Let m be n(4). Solve 4*l + m*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 753 in -3\/2, 324, 0, 9?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:27 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.588 + 19.227. Let u = l + -34. Round u to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 514, 515, 516, 517?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + 211200000?\nAnswer: 211200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-20)\/(-8) - (-84)\/8. Suppose -7*u + m*u = 0. Is 1\/7 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - 6\/(-27))\/(119\/489447).\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4399 + -3.811. Let g = l + 0.0321. What is g rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5463, -1\/5, 5, 3, -0.3, -2 in ascending order.\nAnswer: -5463, -2, -0.3, -1\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.332 - 68.691832. Let b = f - -3.792692. Let z = b - 3.43. What is z rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = -2*q, -3*q = -0*t + 2*t + 1. Suppose -y - 4 = -6. Let g be (0\/((y + -1)\/1))\/t. Solve 16 = -2*h + 2*w - g*w, -7 = 2*h + w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 2476*g + 4948.\nAnswer: (g + 2)*(g + 2474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(5\/8))*n**(3\/4))\/(n**(-1\/6)\/(n*n**(-2\/7))) assuming n is positive.\nAnswer: n**(379\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 118*r**2 - 1126*r - 148164. Give s(-119).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 25 + -17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1002214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7186844560 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 10. Suppose -2*r + 3*l - 2 = 0, 5*r - 2*l = -0*r - s. What is the units digit of (-16)\/r + 0 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5574 times -24039\nAnswer: 133993386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*v - 0*v. Let l = 22 - v. Suppose l*r - 2 = 8*r. Solve -y + 3*t + 1 = -4, -6 = r*y + 2*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, -4, 62\/1263, 1\/8, -0.3, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -863389549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.9 - 1.9. Let q = 11.79 - m. Let n = 0.2 + q. Round n to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(66))\/(sqrt(6) + 4*sqrt(6)*-1).\nAnswer: 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3*o - 7. Let a be g(2). Find the first derivative of 60 - 115*m**a + 68*m**3 + 7*m**4 + 50*m**3 wrt m.\nAnswer: 28*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2 + 2)\/(-2). Suppose -3*x + 45 + 0 = p. Suppose -3*i = -3*q - 345, 0*i + i = 4*q + 100. What is the greatest common divisor of x and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 15. Let n be (q - 2) + -1*1. Let k(p) = 8*p + 23. Is k(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(637))*1)**2 - (sqrt(637) + 1 + sqrt(637) + 2)**2) + 5 + (0 + sqrt(637)*-1 + -2)**2.\nAnswer: -1270 - 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 - 71*q - 17. Let k be a(12). Is -8 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 5*o + 2. Let t be s(5). Suppose 0 = -y - 2*u - 9, -5*y = -0*y + 4*u + 21. What is the second biggest value in t, 5, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*b - 10*b - 3*b)*(2*b + 0*b - b) to t*b + n*b**2 + a and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6255 - 1.6.\nAnswer: 6253.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 21*p**3 + 274*p**2 - p + 28. Determine l(-13).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 36*a + 214. Calculate k(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 5 - 31. Let r(t) = -t + 8. Let l be r(j). Solve 0*x = 2*x + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 53\/2 - (-2)\/(-4). Let y = 50 - 11. Calculate the greatest common divisor of y and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - (0 - (3 - 1)) - (6 + -3).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 56. Let b = 217151.2 - 217169.20017. Let y = b + j. What is y rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 14 + 36)*((-3 + 3 + q)*(-2*q + q + 0*q) + 103*q**2 + 844*q - 844*q).\nAnswer: 6528*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 + 15*c**2 + 72*c - 44. Determine h(-5).\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Suppose n = -u - u + 216. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/6*l**4 - l**2 + 0 - 1\/210*l**7 + 0*l**3 + 0*l + 0*l**5 + 0*l**6. Find the second derivative of r(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 + 100. What is the third smallest value in -4, c, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o. Let h be c(-2). Let w = h + -6. What is the second derivative of -n - n - 5*n**2 + 2*n**w wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13022?\nAnswer: 2, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43116085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -q - 3*m, -8 + 10 = q + 5*m. Let g(s) = 21*s - 7. Let v be g(6). What is the highest common factor of v and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9025 is divided by 122.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 5, e: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163.1 + -162.6. Which is the biggest value? (a) t (b) -1.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + t + 6 = 0, 3*t - 5 = -2*p + 5. Solve 0*l - l = -p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*r**3 - 7012*r**2 - 18768*r - 9392.\nAnswer: 4*(r - 587)*(r + 2)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242234 - -545277. Let d = a + 43957. What is d rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + 4*z + 5. Suppose 5*x + 3*f + 13 = -0*x, x = 5*f - 25. Calculate c(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75625 and 3630.\nAnswer: 453750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1 + sqrt(143))*5*1)\/(sqrt(77)\/(1*sqrt(448)))*-4.\nAnswer: -320*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 2*o**2 + 2*o + 4. Let x be q(3). Let j = 2 + x. Suppose -4*f = -5*c - 13, 3*f - 2*f - c - j = 0. Solve k + 1 = f*z, 3*z - 7 = k + 7*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 11) to base 8.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*c - 39*c = 404 + 1076 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 716 and 8.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 157, 5 in descending order.\nAnswer: 157, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, q: 2, u: 3}. What is prob of sequence buu?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -8a18292?\nAnswer: 8a18297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1479016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129447.\nAnswer: 3, 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 (base 5) in base 15?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**3\/3 + 23. Let d(w) = w**2. Give d(j(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + sqrt(1088)*2)**2 + -4.\nAnswer: 9788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -17, -0.8, -1\/4, 3, -2\/19, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 838 less than 37121.8?\nAnswer: 36283.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + (-1 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288)*1)) + sqrt(8)) - (2*sqrt(121)*5)\/sqrt(11).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2113 + 2119. Solve 0 = -x*u + 106 - 82 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - 4*b - 629, 380 = -3*q - 5*b. Let p = q - -224. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 1650\/40 + (1 - (-35)\/(-28))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from assamastsmaamms. What is prob of picking 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 + 2*r + 1628. Calculate a(25).\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - 18*u + 72. Let j be i(5). Suppose -3*d + 0*r + 4*r = 14, 5*r - 14 = 2*d. Put d, -3, j in decreasing order.\nAnswer: d, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(32)\/sqrt(4)) + sqrt(14))\/(sqrt(343)*-1).\nAnswer: -2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 3122*s**3 + s**2 - 6935*s**3.\nAnswer: -10057*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42473 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 783318631 to the power of 1\/3, to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:04 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 5*u + 3*u**2 + 5*u)*(-5*u**2 + 3*u**2 + 0*u**2) - 5*u**4 - u**4 + 5*u**4 + (-u + 0*u - u)*(-2*u**3 - 3*u**3 + 3*u**3) + u**2 + 2*u**4 - u**2.\nAnswer: -u**4 - 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7580 - 17799*n - 7427*n + 7722*n - 7580 as g*n + w and give g.\nAnswer: -17504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/797?\nAnswer: 1\/797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 3*x + 1, a = -x + 2. Suppose 0 = s + 3*w - 13, -2*s + 4*w = x*s - 8. Solve 0*q = s*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26906 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 87 - 57 = 0. Let r = 207 - 297. Find the common denominator of v and 36*(-2 - r\/44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23362 and -4.\nAnswer: -0.93448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 10*w**2 - 11*w + 10. Suppose 0 = h + 5, 0 = -5*p + 2*h - 3*h + 35. Let x be s(p). Round x to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148556215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 9, 1\/4 in decreasing order.\nAnswer: 9, 4\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Solve 0 = 5*s - r, -2*p - 18 = 2*p + 2*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3239 - -3240. What is the closest to 0 in x, 2, -3\/5, 691?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(325)*3.\nAnswer: 2 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -21) + (-23 - -25) + -57.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-25))\/(1\/(-10)*4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-16)\/(-10))\/((-504)\/420))\/(256\/12864)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 6\/11 (b) -23 (c) -3 (d) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 203658108 to the power of 1\/2, to the nearest integer?\nAnswer: 14271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**7\/x*x*x*x\/(x*x**(-1\/4))*x**(2\/3)\/x**(2\/5) assuming x is positive.\nAnswer: x**(571\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 2*i = 72. Let y = 30 + i. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*d**3*p**3 + 89*d**3*p + 2*d*p**4 + 3*p wrt p.\nAnswer: -684*d**3*p + 24*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447*p**4 - 31.\nAnswer: -1788*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -h + 153, -6*w + 4*h - 144 = -7*w. Suppose 3*p - n - w = 2*p, 2*n = -p + 156. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 8*m**2 + 4*m - 1. Give c(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9133, 36831, 83549, 149743, 235869?\n\"Answer: 76*v**3 + 9054*v**2 + 4*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265 less than 3265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -625, 8 in increasing order.\nAnswer: -625, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) 46245 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 30?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - c = 25, -4*c = 4*x + 34 - 142. Let v = x - 24. Solve 0 = -5*r + 8 + v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 59601220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(0 - 2)\/(-2). Let x be 1*(-23 - (u - 1)). Let q = -15 - x. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)\/(18\/20646*-31). Let n(v) = v**3 - 36*v**2 - 39*v + 82. What is n(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/3718 and 29\/1963780.\nAnswer: 21601580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 426 = -3*i, 5*i - 11*b + 8*b = 714. What is the highest common factor of 2196 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -61. Let m = 259 - 259.3. Which is the second smallest value? (a) p (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9629 * -11.4\nAnswer: 109770.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**6 - 23*r**2 + 2*r.\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 413658007*s - 875468589 wrt s.\nAnswer: 413658007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-4)\/(-112)*-14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 19.9. Which is the third smallest value? (a) -4 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u - 13*u + 2 + 8 + 8*u**5 - 2*u**5. What is the first derivative of o(r) wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 4*p**3 - 15*p**3 - 14*p**3.\nAnswer: -39*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441717934.\nAnswer: 2, 720858967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + (-20)\/(-5) - -1)\/1. Let g be (5 - 8) + (-1 - -1). What is the closest to 1\/4 in 0.2, s, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*x = -354, -3*v = x - 2*x - 511. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405115114 - -125?\nAnswer: 405115243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 437, 570, 611, 530?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 29*z**3 - 95*z + 38. Find the first derivative of b(u) wrt u.\nAnswer: 174*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 25. Let n(w) = w**2 + 2*w**3 - w**3 + 0*w**2. Let t be n(p). Solve -d - t = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9131*t - 118548. What is r(13)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 - 2*h**3)*(25*h - 141*h + 6*h) + 19*h**4 - 16*h**2 + 16*h**2.\nAnswer: 239*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/1024, -2, -4\/5, -11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(4*2\/(-4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.25 - -2.35. Let i = 122.2 + -122.1. What is the nearest to -2 in 3, i, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 18, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 464 times -5?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37908, 38274, 38884, 39738?\nAnswer: 40836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8002*u + 7944*u + 290 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*a - 110*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984628353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4, -14 = -3*w + w + 4*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1912\/5 - 383. What is the closest to h in -0.5, 4, 3, 0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15151033 + 45?\nAnswer: 15151122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/252)\/(3 - 1))\/((-3)\/9)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10201 - 10199. Which is the closest to k? (a) -5 (b) 1 (c) -1\/56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 1. Let y be l(3). Let s(z) = 5*z**2 + 0*z - 2 - y*z**2 - z. What is the tens digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*g = 144. Let l(b) = -b - 1. Let o be l(g). Let x(z) = 2*z**2 - 45*z - 21. What is the remainder when 16 is divided by x(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 2*l**3\/15 + 2*l**2 + 18*l\/5 - 535. Determine o so that m(o) = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 20436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 105*o - 1 + 8591*o - 775*o in the form x + b*o and give b.\nAnswer: 7921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 - 172672*r**2 - 9 - 4*r + 172679*r**2 to p*r**2 + c + t*r and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 2*a. Let h be j(-3). Suppose 2*k - 70 = -h*k. Let b(r) = r + 7. Let z be b(7). What is the greatest common divisor of k and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 649 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 999 and 16634682.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/24 - x**5\/2 + 12*x**2. Find the third derivative of l(w) wrt w.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*i + 496 = -70*a + 153*i, -a + 4*i - 19 = 0 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4*s + 2*r**3*s + 242*r**3 - 57*r*s wrt r?\nAnswer: 12*r**2*s + 12*r*s + 1452*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 12*o + 18. Let h be l(14). Let k be (-8)\/h*580\/8. Is (-2)\/((-4)\/k) - -4 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17) + -2 + (sqrt(1377)*1 + sqrt(1377))**2 + sqrt(1377) + -4 + 4.\nAnswer: 10*sqrt(17) + 5502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -115. Let v = 828 - b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 577*n**2 + 7365*n - 18610. Calculate j(564).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 8266*k**2 - 22735449*k - 20804425884.\nAnswer: -(k + 2524)*(k + 2871)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -14*z**4\/11 - 144*z**3\/11 + 282*z**2\/11 - 76*z\/11 - 48\/11 = 0.\nAnswer: -12, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 200011 divided by 19?\nAnswer: 200011\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g - 26*g + 13*g + 7*g. Let b(j) be the second derivative of -j**4\/12 + 3*j**2\/2 + 2*j. Let n(z) be the first derivative of b(z). Calculate n(y(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*d + 492 = -185*d. Solve 3*q + 2*q - 3*k = 31, 3*q + 22 = -d*k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v - 2*v**2 + 12*v**3 + 2 - 16*v**3 - 8*v. Let d(r) = 5*r**3 + 3*r**2 - 3. Let c(i) = -i - 6. Let o be c(-8). Give o*d(w) + 3*x(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11302253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4 (b) -2 (c) -3\/8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v - 3*l - 14, 3*v - l = 50. Suppose 88774 - 13526 = v*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 3521 = 391. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11584 - 759. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Suppose 5*z + 3*u = -0*z + 27, -s*z = -4*u + 7. What is the second derivative of 4*r - r + z*r**5 + r**5 wrt r?\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -2 (b) 0.29 (c) 0 (d) -0.2 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**3\/6 - n**2 - 8*n. Let q be d(8). Let x(t) = 17*t + 15. What are the prime factors of x(q)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/3 - 23\/15. Let h = 5\/18 - 1\/18. Which is the third smallest value? (a) -3\/5 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of y**10\/378000 - y**8\/16800 - y**7\/6300 + y**5\/15 + 2*y**2. Let a(v) be the third derivative of c(v). Factor a(i).\nAnswer: 2*i*(i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 7 = -2*o, -4*g + 3*o - 3 = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 41. Let i*g**4 - 7*g**3 + 12*g**4 + 8*g**2 - 13*g**3 = 0. What is g?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 2. Suppose 0 = -5*o - j - 266, 5 - 107 = 2*o - 4*j. Let k = 50 + o. What is r(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1118.4 - -1120.4. Which is the closest to n? (a) -0.18 (b) 21 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4. Let x = -9 - -13. Give v(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 9*t - 73. Let h(k) = -3*k + 25. Determine 8*h(a) + 3*u(a).\nAnswer: 3*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*o**4 + 3*o**3 + 738078*o + 104474082 wrt o?\nAnswer: -20*o**3 + 9*o**2 + 738078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32983708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163 divided by -163.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45.385 + 0.385. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 4:00 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:46 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -150, -193, -236, -279, -322?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/7 + -1 - (-99042)\/21. Suppose y = -15*o + 71031. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 13. Suppose -142 = -3*p - 3*s + 4*s, -y*p + 172 = 5*s. Is 24 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**11\/(i\/i**(-1\/30)*i)*(i**(8\/11)*i)\/i*i**(-2\/9)\/i assuming i is positive.\nAnswer: i**(8387\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 15*d**5 + 669*d**4 + 7305*d**3 - 3705*d**2 - 7320*d + 3036 = 0.\nAnswer: -23, -22, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9249061759 = 185*r - 59*r - 2338969759. What is r rounded to the nearest one hundred thousand?\nAnswer: -54800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*d - 256 = 0, -3*t + 2*t + 85 = 4*d. Calculate the greatest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 2. Let g(o) = -2*o - 2. Let j be g(3). Let s be f(j). Let v = s + 20. Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h**2 - 2*h)*(116*h - 47*h - 54*h) - 1 + 4*h - 15*h + 8*h + 5*h**3.\nAnswer: -40*h**3 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 170 = 5*o, 4*c - 431 + 373 = -3*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 4 = -13*h. What is the least common multiple of (-24)\/(-20)*(-40)\/(-6) and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 590 and 25800?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*q + 22 = 0, 233 = -29*s + 54*s - 23*s + 185*q + 32 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6147 + -2.33?\nAnswer: -6149.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007545 to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 30*b + 37. Calculate w(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/142*(-8)\/(-24). Let y = -1215\/142 + n. What is the common denominator of y and 77\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -607 and 12.1?\nAnswer: -7344.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 30 = -6. Put 3, t, -3, -29 in ascending order.\nAnswer: -29, t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1191190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 - 1521*r + 17. Let x(t) = -t**2 - 3*t - 3. Give o(f) + 6*x(f).\nAnswer: f**2 - 1539*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i. Let j(q) be the third derivative of 0*q + 0*q**4 - q**2 + 0*q**3 - 1\/60*q**5 + 0. Calculate j(l(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -58563710 rounded to the nearest one hundred thousand?\nAnswer: -58600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 57*i**4 - 4*i**3 - 361*i**2 - 3. Let t(y) = 61*y**4 - 2*y**3 - 360*y**2 - 2. Let l(h) = 2*c(h) - 3*t(h). Find the third derivative of l(o) wrt o.\nAnswer: -1656*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 + -16 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5702*f**2 + 7341*f - 21. Let d(o) = -5703*o**2 + 7340*o - 28. Let v(q) = 3*d(q) - 4*z(q). Find the second derivative of v(s) wrt s.\nAnswer: 11398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 53. Let q be l(16). Calculate the highest common factor of 387 and q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-5\/4)\/g*g)\/g)*g)\/(g\/g**(-8)*g*g*g)*(g**(4\/7))**38)**(-3) assuming g is positive.\nAnswer: g**(-1173\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 - h - 3. Determine b(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/171 and 58\/247?\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/7 - 58206*t**2\/7 - 58220*t = 0.\nAnswer: -7, 0, 29110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(-3*b - 4*b + 4*b)*(0 - 1 - 2).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*l - 4*z + 28 = -407*l, -4*l - 18 = -5*z - 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*(sqrt(3) + (-1*sqrt(6))\/sqrt(2)) - ((sqrt(243)*1)**2 + 2))*4.\nAnswer: -4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 608006 at least as big as -0.086?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/3)*h*h)**(-23) assuming h is positive.\nAnswer: h**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = 3*c. Suppose -3*k = -c*k. Suppose -4*a + 5*g - 11 + 41 = k, 3*a - 32 = -g. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigrgrgiiorggiilrggg. Give prob of sequence lg.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22655 divided by -4531?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/7)\/(a\/a**(-2\/13)))\/(((a\/(a*a*a**6\/a*a))\/a)\/a**16) assuming a is positive.\nAnswer: a**(2027\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/8)\/((4\/2398)\/(-2)). Suppose -4*g + 3*u + 174 + 784 = 0, 3*u = 5*g - j. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-755 + 755 + 93*y)*(185 + 14 + 292) - y + 2*y + y to the form z + x*y and give x.\nAnswer: 45665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/44 + 13\/11 + 2. Suppose d = -5*f - 42, b*d + 3*f = f - 152. Let y be 0\/3 + d - 0. Which is greater: y or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2 - 2*t + 2. Let f be k(1). Suppose -4*n - 37 + 69 = f. Suppose n*h - 7 = 25. Solve h*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.297722ml in litres?\nAnswer: 0.000297722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2316961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/10 + 6\/15. Let x = 1049\/2508 + -279\/209. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzdg when four letters picked without replacement from {m: 3, d: 3, g: 5, z: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*0\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3de875 (base 15) to base 9.\nAnswer: -5550182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 10:57 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*a = 174, 3*a - 7*a = 2*i - 60. Let q be 57 - 0*2\/4. Calculate the greatest common factor of i and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:17 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 10*y**2 + 5*y + 2. Let m be f(-2). Suppose 5*z + 12 - m = 0. Solve z*r = 5*u - 25, -1 = 3*r - 4*u + 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7543578 or 7543567?\nAnswer: 7543578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1, -5, 1.105?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**8\/84 + 46*w**7\/35 + 67*w**6\/10 + 199*w**5\/15 + 11*w**4 - 3*w**2 + 2*w - 2. Factor k(q).\nAnswer: 4*q*(q + 1)**3*(q + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnhnnhnnhnhnhnnnnn. Give prob of sequence nnnn.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*d. Let u(k) = -k**2 - 6*k + 12. Let y be u(-7). Solve -d*w - 5 = -5*f - 3*w, 3*f - 3 = y*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19301 (b) 0.4 (c) -2\/3 (d) -167 (e) -5 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -12*f**3 + 645*f**2 - 4608*f - 5175. Let i(g) = -9*g**3 + 486*g**2 - 3456*g - 3881. Let j(u) = 9*i(u) - 7*p(u). Let j(h) = 0. What is h?\nAnswer: -1, 12, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 534*y**2 - 1067*y + 3. Let p be i(2). Solve 5*l + 4 = -4*j, -p*j + j - 2*l = 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17731, 35460, 53189, 70918, 88647?\n\"Answer: 17729*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5042 divided by -3?\nAnswer: 5042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 7*s**4\/12 - 3*s**3\/2 + s**2 - 3*s - 1. Let v(j) be the first derivative of u(j). What is h in v(h) = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/16 of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 45 = -3*k. Suppose 6*d - k = -22. Solve 2*a - 3*h - d = 0, -8 = 4*h + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from awaaaawpaapaa.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + sqrt(252) + 0 + sqrt(252) + 4.\nAnswer: 4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*p + 16971 - 17209 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 8. Let w be d(-6). Let t = -11 - -7. Sort t, 1, w in decreasing order.\nAnswer: 1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7514 - 7689. Is -183 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854466270 to the power of 1\/4, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21456403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 880 = -590. Let a = 489 - d. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92928 divided by -23232\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1200) + -2 + (4 + sqrt(1200) - sqrt(1200)))**2.\nAnswer: 40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - n - 2*n**2 + 44*n**4 - 94*n**4 - 1 + 37*n**4 as b + s*n + f*n**3 + r*n**2 + z*n**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.79076364 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100021021 - 2120?\nAnswer: 100011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 576\/27 + (-1)\/3. Let y = 470 + m. What are the prime factors of y?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -p - 3*p + 2*w, -5668*p + 5674*p + 2*w - 11 = 115 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 2359.03, -1\/3, 4.\nAnswer: -1\/3, 2, 4, 7, 2359.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62015, -2, -1, 2 in decreasing order.\nAnswer: 62015, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8250*c + 37232 - 32201 = -81278 - 111691 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*y + 4*y - 18, -21 = -c - 4*y. Is c\/2 - (-34)\/4 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 306891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30680532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -y - 4. Let o = -20 - -16. Which is the closest to y? (a) -1\/4 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (77 + (1 + 4 - (-45 + (52 - 13)))).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 2. Suppose 0 = 5*l - l + 20. Let h(u) = -2*u**2 - u - 4. Determine l*q(s) + 2*h(s).\nAnswer: s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9 - 4*u + 9 + 0. Let g(d) = 570*d**2. Let x(w) = 44*w**2. Let c(p) = 3*g(p) - 38*x(p). Give c(v(k)).\nAnswer: 608*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*d - 8. Let l = -5 + d. Let z(c) = c - 1. Calculate z(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245082245 divided by -536285\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 + 37*m - 37*m.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 - (5 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**2. Let q(z) = -126355*z. What is q(w(t))?\nAnswer: -1263550*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = z + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14023 (base 7) to base 12.\nAnswer: -223a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krdoyoskksrkkkkkr. Give prob of picking 1 k, 1 y, 1 d, and 1 s.\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, i: 10, a: 1}. What is prob of picking 2 x and 1 i?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114 and 53115279.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-70))\/(((-2)\/(-14))\/(322\/92))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1427, 5714, 12853, 22838, 35663, 51322, 69809, 91118?\n\"Answer: -f**3 + 1432*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-22*q**3 - 27*q**3 - 189*q**3).\nAnswer: 238*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**3 + w**2 - 9*w - 22. Let u(v) = -1. Let c(g) = d(g) - 3*u(g). Is 26 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 - 4803 - 2896*m + 2402 + 2896*m + 2401.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24175*g + 24177*g + 126 = -4*z, -4*g = -4*z - 120 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 4740*g**3 - 291600*g**2.\nAnswer: 2*g**2*(g - 2430)*(g + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18547935 a multiple of 595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (33 - -844)*(1 + (-5 - -1))*-9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223929 - -381574889\/1704. Find the common denominator of 101\/32 and t.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/35)\/(30\/(-100)) + 10 + (-46728)\/4452?\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 30. Let n(u) = -828*u**2. Give n(b(l)).\nAnswer: -3312*l**2 + 99360*l - 745200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 552.9 - 553. Which is the closest to r? (a) 5 (b) -3 (c) 4 (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (4 - (-7 - -17))) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 34*f = -189. Suppose -u + 6 = -3*h, 0*h + 2 = u + h. Suppose -u - 3 = -j. Calculate the remainder when f is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3210)\/(-42) - 6 - 135\/3024*32?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 14*g = -58. Let i(r) = r**3 + 28*r**2 - 29*r + 3. Let q be i(g). Solve 0*l - 4*l + 8 = 4*u, q*u + 2*l = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 15*f + 2. Let a be k(-15). Suppose -3*s = 0, 4*j + s = -2*s + 8. Solve -a*t + 0 = j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/152 and -95\/28?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-486)\/4*(-12)\/9. Let r(g) = 4*g**3 + g**2 + 2*g - 6. Let q be r(-3). Let k = q + f. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 152, 130, 90, 26, -68, -198?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/2625*-15)\/(10\/(-3)*(-48)\/(-28))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*i = -2 - 3, 3*w + 5*i = 1. Suppose -w*x = 3*x + 15. Let v = x - 2. Which is the closest to 1? (a) v (b) -3\/4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 11577520?\nAnswer: 57887600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2363 in -1\/3, 1, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z + 3*h - 41259, 2*z + 2*h - 20626 = 0. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2057386771 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 less than 7864494\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(144)\/(sqrt(12) + sqrt(1200)) + sqrt(12)).\nAnswer: 11*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270165)\/(-217875))\/((-1)\/(-5)).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 37*b**2 + 80*b - 24. Give r(6).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196292 - 666292. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 106, 174, 336, 640, 1134, 1866?\n\"Answer: 8*h**3 - h**2 + 15*h + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Let q(f) = -4*f - 4. Suppose -541*k + 8 = -549*k. Determine k*q(l) - 6*d(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/359235 and 127\/30?\nAnswer: 718470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 28.70336 micrometers?\nAnswer: 28703.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 14 = -s, -4*v - 8 = -2*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 51*p + 491. Determine t(12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**30*j\/j**(-12)*j**(-2\/9) assuming j is positive.\nAnswer: j**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h - 13. Let r be s(-4). What is the first derivative of 3 - r + 2 + 9*p**2 + 0 wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4397 is divided by 170?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -40, 80, 2, -2\/29, 0.3.\nAnswer: -40, -2\/29, 0.2, 0.3, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t**2 + t - 69. Let q(o) = 8*o**2 - o + 69. Give -3*d(s) - 4*q(s).\nAnswer: -2*s**2 + s - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85 + 115*t + 85.\nAnswer: 115*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/21))\/(m**(-25)*m) assuming m is positive.\nAnswer: m**(527\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18740, 37479, 56218, 74957, 93696?\nAnswer: 112435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 + 5*b - 5. Suppose 666*w = 683*w + 102. Let k(z) = 7*z**2 + 6*z - 6. Let i = -6 + 11. Calculate i*k(p) + w*o(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 11:27 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -113089 (base 14) to base 16\nAnswer: -8eb91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*u**2*x + 4*d*u**2 + 41702*d*u*x**3 - 34576*d*x**3 - d*x**2 wrt u.\nAnswer: 4*d*u*x + 8*d*u + 41702*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 12*g - 10, -7*r - 2*g = -24552. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -26) + 9 + 8 + -12 + -75.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-597330)\/(-21375) - 28 - 4\/(-76)*-2.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 14?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x. Is t(17) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -45*j**3 - 2*j**2 - 5*j. Let x(h) = -89*h**3 - 4*h**2 - 9*h. What is 5*d(k) - 3*x(k)?\nAnswer: 42*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 60 = -72 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, 4\/7, -444\/11, 0 in decreasing order.\nAnswer: 4\/7, 0, -444\/11, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -12\/11, 3, 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 11*s + 7*s - 5*s**2.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -490*p**6 - p**5 - p**3 + p**2 + 988?\nAnswer: -58800*p**3 - 60*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by -5 + (120\/(-5))\/8 - -114 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*c**5*s - 32*c**3*s**2 - c**2 - 6*c*s - c - 26*s**2 wrt c.\nAnswer: 680*c**3*s - 192*c*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029222712 - 198.9182?\nAnswer: -198.947422712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 2213*s**4\/12 + 5*s**3\/2 - 18*s**2 - 44*s - 71. What is the second derivative of h(u) wrt u?\nAnswer: 4426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55592.\nAnswer: 2, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 262, 324, 386, 448?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 2. Let a(n) be the second derivative of -4*n**3\/3 + 497*n. What is a(u(i))?\nAnswer: 48*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -21*v + 2. Let p(n) = 32*n - 3. Let k(b) = -8*o(b) - 5*p(b). Let j(x) = x**3 + 5*x**2 + 4*x + 2. Let s be j(-4). List the prime factors of k(s).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 + 5*i + 6. Let l be g(6). Suppose 0 = -3*x - l*x - 15. Let b = -2.86 - -2.66. Sort -3, x, b, 0.\nAnswer: x, -3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4761 and 1682749.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25443.\nAnswer: 3, 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 70428 divided by 4?\nAnswer: 17607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-18) - 11\/(-3). Suppose g - j*g = -80. Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25*b + 329. Let o be m(10). Solve 18*h = o*h - 305 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - -1. Let n(u) = -u**3 - 7*u**2 + 9*u + 10. Let y be n(-8). What is the third derivative of -16*l**5 + 0 + 0 - 33*l**y + s*l**2 wrt l?\nAnswer: -960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -84, -34.\nAnswer: -84, -34, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100457 + 704595\/7. Let x = o + -199. Let g = 1.95 - -0.05. Which is the third smallest value? (a) -4\/7 (b) g (c) x (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by -3*(176\/(-33) - 4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101101011110010101011 - -10?\nAnswer: 1101101011110010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -4. Let x be 0\/(0 + (-1)\/z). Let l = 0.259 - -0.041. Which is the closest to x? (a) 0 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 33570 = -2*v. Let y = v - 15286. Round y to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.939 + -4.939. What is the nearest to -2 in 3\/8, 0.5, 0.22, r?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1688 - -1?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 627784 > 627784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -54897 (c) -0.592\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 387*i + 2212. Give t(-123).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 + 3*q - 9. Let d be o(4). Suppose 0*f + 5*f - 105 = 2*c, -d*f = 5*c + 216. Is 217\/3 + 15\/c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 divided by 11491?\nAnswer: 629\/11491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 m when four letters picked without replacement from {m: 3, x: 4, q: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -3*a**7\/10 + a**5\/60 - 59*a**4\/12 + 2*a**2 + 446. Find the third derivative of m(l) wrt l.\nAnswer: -1512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24583733?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 42 = -54. Let g = -12 + 17. Suppose -b - 2*t = -0*b + 2, -g*b = 4*t - 14. What is the greatest common factor of s and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8831.6499 rounded to 0 dps?\nAnswer: -8832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*r + 27 + 351*r + 29 + 376*r.\nAnswer: 7*r + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*h**2 + 57*h**2 - 3 + 4*h**2 + 1 in the form f*h + a*h**2 + r and give a.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -0.2 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -3 - -4)\/1. Suppose 208 = 4*w - 2*f, d*f - 61 = -w - 23. Calculate the remainder when w is divided by (-17)\/(-1) - (-3 - -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a + 2. Let k be a\/((-1)\/(-68) + 0). Suppose r + 6*p - p = k, 2*r + p - 118 = 0. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.3623077\nAnswer: -0.18115385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 618*d**2 + 12*d - 2472.\nAnswer: -3*(d - 206)*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345\/11459 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/108 and -95\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 25 = 3*i, 2*x - 3*i - 75 = -x. Suppose 2*h = 4, 5*d - 5*h = -0*d - x. Let c(j) = -j**2 - 2*j + 1. What is c(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - 2.24. Let o = -3.77 - j. Round o to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -110745.3 to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(1 + -1 + -1). Let l(j) = -44*j + 169. Let s be l(0). Suppose s*v - 176*v = -126. Solve 3*h + m*b - 7 = 0, -4*b + v = -3*h - b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - 174\/(-4)*6. What is the second derivative of -z - 97*z**2 - 256 + i - z wrt z?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 12 = -g, 13*g + 3*y = 8*g + 22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((1*sqrt(72) + sqrt(72) - sqrt(72))\/sqrt(12)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1682*h + 23585. Determine j(14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121b (base 13) to base 9.\nAnswer: -3453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.06, -359, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 26310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 12 = 4*q, 6*o = 4*o + q + 10. Suppose u = 20 - o. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3469 (b) -0.3 (c) 1\/3 (d) 3\/17 (e) 0.02 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 187*a + 28. Let h(v) = -156*v - 27. Let g(s) = -5*b(s) - 6*h(s). Let k(r) = -2*r - 66. Calculate -8*g(x) - 3*k(x).\nAnswer: -2*x + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:08 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -387, -333, -225, -39, 249?\n\"Answer: 4*a**3 + 3*a**2 + 17*a - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (-1648)\/128 - (-2 + 0).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -114*n - 158. Calculate the least common multiple of f(-6) and 12.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1634177 * -0.5\nAnswer: -817088.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 11*u**2 + 11*u + 6. Let o be c(10). Let y = -10 + o. Is 12 a factor of y\/24 - 99\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 518 and 259?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -607551\/80 + 7594. Let x = -412\/39 - -12647\/780. Find the common denominator of z and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2 - 13*x - 10. Let f(g) = 10*g**2 - 9*g - 8. Let z(k) = 3*b(k) - 4*f(k). Let n(d) = 2*d**2 - 3*d + 2. What is 2*n(h) - 3*z(h)?\nAnswer: -2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*x + 4*j - 58, -76 = -2*x + 4*j - 62 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 5:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*n*p**2*s - 6*n*p**2 - n*p*s - 4*n*p - 5*p**2*s wrt p?\nAnswer: 6*n*s - 12*n - 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-216 - -26466) + 3*-2. Calculate the highest common divisor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4670 divided by 2335\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2 - (-7 - -6). Suppose 2*x + s*f + 1 = 3*f, 0 = 5*x + 2*f. Suppose -58 = -r + 3*u, 0*r - 108 = -x*r + 2*u. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = -3*j. Factor -2*g**4 - 3*g**5 + g**5 + g**5 + j*g**5.\nAnswer: 2*g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -221010020012?\nAnswer: -221010020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 4*b - 204, -72*g = -66*g + 18*b - 870 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 12:33 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/((l*l**(6\/5)\/l*l*l*l*l)\/l)*(l**(-8)*l)\/l*(l**(-2\/13)*l*l)**(-1\/24) assuming l is positive.\nAnswer: l**(-668\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, 0.17726 in descending order.\nAnswer: 3, 0.17726, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, a: 5, m: 1, s: 4, d: 4, y: 1}. What is prob of picking 1 t and 1 s?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013391 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (109\/(-8))\/(18\/4) and ((-14)\/(-40))\/7 + 1 + -1.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 231312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c. Let h(n) = 5*n - 5*n + 2*n - 6 - 8 - 13. Calculate h(t(l)).\nAnswer: -8*l - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8*w + 15 = 0. Let n be w*2\/(2\/(-1)). Let u = -250 - -271. Which is the closest to 0? (a) n (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 - 4 = 0, -3*w - 5*a = 9. Suppose 5*n - w*j = -2, n = 4*j + 3 + 11. Let t(y) = -2*y**3 + y**2 + y + 1. Is 7 a factor of t(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-13)*m)\/m**(-1\/3))\/(m**(-4))**(-21) assuming m is positive.\nAnswer: m**(-287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 62*y - 480. Let d be u(-15). Solve d = w + 4*r + 17, -78*w + 24 = -75*w - 3*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43841016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13951 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -20780*h**3 + 4*h + 3. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.1 - 14. Let r = 33 - 33. Suppose 4*t - 2*n + 12 = r, -n = 2*n. What is the third smallest value in t, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v - 32. Is x(58) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 3 = 0, 52*i + 5*q + 25 = 56*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007734402 rounded to 6 dps?\nAnswer: -0.000773","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 35*m**2 - 250*m + 395. Determine d(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 473, 815, 1305, 1937, 2705, 3603, 4625?\nAnswer: 5765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107846169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5. What is the lowest common multiple of (4 - -2 - -1) + t and (-6)\/(-5) - (168\/15 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - 1 - 39\/((-351)\/90). Solve -3*k = -u + 17, -d*k = u - 14 + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 255548\nAnswer: -76664.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83781 and 2493333.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001101001001111 (base 2) in base 12?\nAnswer: 359a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 - 167. Let l = u + -81. Which is bigger: l or 1\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:55 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 347 - 323 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 135\/36 - 2\/(-8). Suppose 3*q - 5 = s. Solve 0 = -q*p - 1 + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605698\/(-11817) + 134 - 10\/(-9)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45655046 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 0.3, -2\/15, -2\/7 in descending order.\nAnswer: 6\/13, 0.3, -2\/15, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48977.\nAnswer: 17, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8620 and 4741.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l**3 - 4*l**3 - 8*l + l**5 + l**3 wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y + 37. Let r(k) = -79*k - 145. Let d be r(-2). Let i be v(d). Which is greater: -27 or i?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44\/3 + 29\/2. Let o = 5 - 10. Which is the third biggest value? (a) -4 (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118.06266 + 50.062783. Let t = 0.51 - -67.49. Let n = r + t. Round n to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 6 - 9 + 4 + 0*n. Let m(i) = 1. Let s(d) = c(d) - 3*m(d). Give s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*f**2 + 15*f**2 - f**3 + 0 - 170*f - 2 + 170*f in the form t*f**2 + m + r*f + n*f**3 and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**5)*g*g\/(g\/g**(-2))*g*g)**(-39))**(-10) assuming g is positive.\nAnswer: g**(-1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -10. Suppose -41 = -s*x + 31. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*m = -7298 - 12113. Calculate the remainder when m is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 4. Let k(g) = -g**2 + 8*g + 272. Let l be k(21). Give t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481213049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + (sqrt(684) + 2 - sqrt(684)) + (sqrt(684) + 0)*-4)**2 - ((sqrt(228)*1)\/sqrt(6))\/(sqrt(200)*2 - sqrt(200) - sqrt(200) - sqrt(2))).\nAnswer: -95*sqrt(19) + 10951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13434 or 13429?\nAnswer: 13429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4717 is divided by 1570.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 1. What is the common denominator of 2 - -5*(-57)\/6 and 3 + 29\/(-16)*u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11275 - -0.11. What is i rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 y, and 1 z when four letters picked without replacement from iiiyyziyywziiiywii.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Let d(b) = -21231*b**2. Calculate d(g(q)).\nAnswer: -191079*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -1.46.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*m - 20, -5*k = 10*m - 13*m - 14. What is the second derivative of -27439*j + 0 + 249*j**k + 27378*j + 0 - j**4 wrt j?\nAnswer: 2976*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 2*b + 3*a - 0*a + 4, 12*a = 14 + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 4, 4493, 78.\nAnswer: -2, 3, 4, 78, 4493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 12*s**2 - 13*s + 22. Let t = -455 - -466. Let j be k(t). Solve j*y + 5*y + 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7945\/158199?\nAnswer: -7945\/158199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*g - 65 = 0, -5*g + 133 = 27*d - 3*g - 9 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 + -4 - -4 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/((-16)\/4) + -2. Suppose d = 2*z + 4. Determine o so that -2*o**2 - z - 3*o - 2 - 3*o = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 665 - 740. Does -4 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = 0, -1173*z + 1171*z + 3*p = -105731. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5938 + -1?\nAnswer: -5939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168, -142, -64, 90, 344?\n\"Answer: 4*l**3 + 2*l**2 - 8*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 42 + 2. Suppose 3*l = g - 2. Is l + (-3 + 105)*4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -0.1502846439?\nAnswer: -3.8497153561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 5 - (0 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.703284nm?\nAnswer: 0.001703284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*u - 81 + 81 - 150 + 2*u + 38 + 57 + (-2 + 0 + 0)*(3*u - u - 4*u) + u - 3*u + u - 1 - u + 1 in the form b*u + x and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192038)\/1505 - -132 - 336\/65.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 894, 3701, 6508?\nAnswer: 9315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-108)*432\/304*(-57)\/6?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -382, 16, 0, 1, -2\/7, -3\/8 in ascending order.\nAnswer: -382, -3\/8, -2\/7, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) 0.3 (b) -2\/7 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 356.2955 and -281.085.\nAnswer: 75.2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10476225833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvqvvvvvvq. What is prob of picking 3 v and 1 q?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**2 + 2*j**2 - 11*j**2 + 8*j**2 + 11*j**2 + (-2 + 1 - 1)*(-3*j - 4*j**2 + 3*j) + 3 + 2*j**2 - 3.\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 1 (b) 1\/4 (c) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23331?\nAnswer: 3, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12535 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxkz when four letters picked without replacement from qqdzqzxxkzzzxzzq?\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -74*d - 736. Determine i(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3031 > -1868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 28*y**2 - 23*y - 6. Let i(q) = -1343*q**2 + 1105*q + 289. Determine 289*a(p) + 6*i(p).\nAnswer: 34*p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.61 - 15.359. Let i = 0.84 + f. Let k = 0.909 + i. Which is the nearest to -0.1? (a) 9 (b) k (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {u: 4, d: 2, h: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 61. Let d be 8\/8 + 19*k. Suppose -5*z + 8 = -d. Calculate the remainder when z is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let y(k) = 2 + w - 5 + k**2 - 3 + 7*k. Let v(z) = 3*z**2 + 20*z - 17. Let c(s) = -6*v(s) + 17*y(s). Find the second derivative of c(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -394 + 15580. Does 36 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millisecond in microseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00278 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85*-64.656.\nAnswer: 5495.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 1. Let p be z(5). Suppose -2*v = -p*v + 78. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 5. Let j = 8 + -5. Let a = j - -1. Let l be z(a). Solve 0 = -9*d + 4*d + l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 1\/432?\nAnswer: 1\/432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 10. Is 78\/8 + v\/24 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139672.8 rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) -5 (d) -60 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -121020?\nAnswer: -121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - 117. Which is the smallest value? (a) 4.1 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 + (0 - 0) + 5 + 231.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2138192 to three decimal places.\nAnswer: -0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367 - 19*p**2 + 1457 - 343 - 369 - 378.\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, g: 3, n: 4, p: 4}. Give prob of sequence uuug.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1235897253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 2590 = 261*k - 2432 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 315.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 - -184. Calculate the remainder when z is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2193, -2219, -2245, -2271, -2297?\nAnswer: -2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 201442?\nAnswer: 201443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2. Let c(s) be the first derivative of -12 + 0*s + 1\/2*s**2. Give o(c(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6*v = -4*m - 242, 3*v = -2*m + 132. Suppose -5*t + 206 = v. What is the lowest common multiple of 32 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7281 (base 11) in base 12?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.965 + 0.002. Let t = o + 0.033. Let c = 0 - t. What is the nearest to c in -0.2, 1, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2 + 1 - 4\/8. Suppose 0 = p + 2, 13 = h*u + 4*p + 1. Suppose -u*q + o + 396 = 0, q + 2*o - 84 = 6*o. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 766 - 374. Suppose 0 = -9*f - z - 265. Let r = f + 190. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 176 = -4*a, 3*a = -4*m + m + 150. Let s = 45 - 79. Let w = s + a. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v - 4*v. Suppose 2*b + 3*o + 40 = v, 2*b + b - 5*o + 41 = 0. Let l(j) = -j - 1. What is the units digit of l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828*s - 832*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 15. Suppose -2 = -t*h + 28. Let f be 2 - 2*(-3 + h). What is the second biggest value in f, -2, -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252\/211 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 4*r + 1. Suppose 0*x - 2*x = -10. Let f be w(x). What are the prime factors of 1037\/34 - 2\/f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l + 96*l**3 - 13*l + 0*l.\nAnswer: 96*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -25, -7, -0.5, -10, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 970144, 970143, 970142, 970141?\n\"Answer: -l + 970145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*z + 4*b + 10, 26 = -4*z + 2*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 3. Let p be r(6). Differentiate -3*t**2 - p + 5*t**2 - t**2 with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1207\/48 + -76\/3. Let p = 7\/48 - y. What is the nearest to p in 1\/2, 0, 0.02?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + 5 + (2*sqrt(162) + -2 - ((sqrt(162)*-1)**2*-2 - sqrt(162))).\nAnswer: 27*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 0. Let v = t - -15. What is the greatest common divisor of 90 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*a**2 - 2*a**3 - 3 + 4*a + 70*a**2 - a**4 - 38*a**2 - 2*a.\nAnswer: -(a - 1)**2*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 30*t**3 + 45*t**2 - 20*t.\nAnswer: 5*t*(t - 4)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/9)\/(5\/((-45)\/(-6))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = -4*u + 6, 3 = s. Suppose -74*v + 72*v + 24 = u. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 21*w**2 - 60*w**2 + 4*w**2 + 11*w**2.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r + 38 = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2 + 2*p - 5*p)*(3*p - 2 - 2*p - 4*p).\nAnswer: 9*p**2 + 12*p + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/578386 and -48\/118279937?\nAnswer: 236559874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 1\/6*f**3 - 5\/12*f**4 + 1\/60*f**5 + 3*f**2 + 0 + 0*f. Calculate the remainder when 1 is divided by o(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7040*s**4 + 39968*s**3 - 55246*s**2 - 4232*s = 0. Calculate s.\nAnswer: -4\/55, 0, 23\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2663*g**4 - 2*g**3 - 54335*g**2 wrt g?\nAnswer: -63912*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose r = -2 - h. Is ((-2)\/3)\/(r\/210) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 131, 207, 293?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**3 + 3*v**2 + v + 326. Let m(s) = 34*s**3 + 9*s**2 + 3*s + 975. Calculate 7*j(n) - 2*m(n).\nAnswer: 2*n**3 + 3*n**2 + n + 332","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.2. Let p = 1360\/7 - 194. Put v, p, 0.3, -2\/11 in decreasing order.\nAnswer: 0.3, p, -2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801015491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 19*j**3\/6 - 7*j**2 + 14*j. Let n be v(14). Let y be 4*3\/6 + 26. What is the greatest common divisor of n and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2848, 2861, 2896, 2965, 3080?\n\"Answer: 2*l**3 - l**2 + 2*l + 2845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 8. Let w be ((-2)\/(-3))\/(x\/(-21)). Let v = 18 + w. Calculate the lowest common multiple of v and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -263.\nAnswer: -262.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250927814 to the power of 1\/5, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025079609393 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625 is divided by 644.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = -10 + 40. Suppose t - 60 = -r*w, -2*w - 317 = -9*t + 4*t. What is the lowest common multiple of 6 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -o + 66*z, -4*o + 1403*z + 2 = -5*o + 3*o + 1402*z - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*j = -3*j - 43, -4*c - 8 = -4*j. Let y = c + 7. Suppose 3*u = -y*u. Solve u = 3*d + 7 - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2952 or -3003?\nAnswer: -2952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 + 110*k**2 + 200*k = 0.\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 99?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -339*j - 343*j + 1003*j - 89 - 125 - 333*j in the form i*j + l and give l.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118733 + 118733 + 5903*c)*(-4 + 0 + 5 + c).\nAnswer: 5903*c**2 + 5903*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:23 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -0.10823.\nAnswer: -9.10823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 19*n**2 - 58.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -11. Let q(c) = d*c - 4 - 18*c + 9*c. Calculate the smallest common multiple of 5 and q(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from pjpggnnggpbbnpggungp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:30 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -21\/2, -7, 11, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20384 and 40?\nAnswer: 101920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 1, -4, -565 in decreasing order.\nAnswer: 5, 3, 1, -4, -565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 3*w. Let t be k(3). Suppose 0 = -t*o - o + 20. Suppose 5*p = 5 + 15. Calculate the greatest common divisor of o and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 101*m + 18 + 3 = -5*g, 2*g - 13 = 5*g - 2*m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1\/357*x**7 + 0*x**3 + 2\/255*x**5 + 38*x**2 + 0*x**4 + 2\/255*x**6 + 0 + 0*x + 1\/2856*x**8. Let q(r) = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.94057078 to 3 dps.\nAnswer: -2.941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6*26\/(-1). Let f = b - -37. Calculate the highest common factor of f and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82762 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 63. Let j(v) = 2*v**2. Calculate g(j(c)).\nAnswer: 2*c**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6831297755?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -960, -1926, -2892, -3858, -4824?\n\"Answer: -966*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:05 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6980765 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b + 47 - 964. Suppose -5*h + b = -59. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 597. Suppose 2*c + 5*z - 224 = 2*z, -5*c - 5*z = -l. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 7008*p\/7 - 84554504\/7.\nAnswer: 2*(p - 4982)*(p + 8486)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388697771?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(72)*6 + (sqrt(108)*1)\/sqrt(6))\/((1*-1*sqrt(72))\/(2*sqrt(8)*-1 - sqrt(8))).\nAnswer: 156*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 212 in descending order.\nAnswer: 212, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 853 + -845. Solve b*g + 8*g + 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 4585?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + 115 + (1 - 13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqrx when four letters picked without replacement from jnqrxjz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 6, -34, 17 in descending order.\nAnswer: 17, 6, 5, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2605.00002562 - 2605. Round g to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2611 - 1555. Is q a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -5. Suppose -s = -3*m + 14, z + 5 = -m - 2*s. Solve 5*h + 2 + m = 0, 4 = l - 3*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-84) + 0)\/(-55 - (-3315)\/60)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1765 - 1369. Solve -4*u = -420 + b for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/((-20)\/36). Let r = 0.33 - 0.3. Is r greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -99, 1\/3, -4\/7, -2\/5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 216425\/24 - 9016. What is the common denominator of 40\/3 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18891 divided by -18891?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 - 137. What is the closest to 2\/3 in c, -3, -12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 7, 3 in descending order.\nAnswer: 7, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169518 at most -3.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 11 - -12) + 11 + -3 + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 9:42 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.8. Let o = -1 + 5. Suppose -t = u - o, 4*t - 4*u + 10 = 2*t. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**3 + 66*v**2 + 164*v + 14. Determine o(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.9 and 944.3?\nAnswer: 940.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 567670089*n**3 + 20496176*n + 2?\nAnswer: 3406020534*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + (-1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*q - 4*q + 205122. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1156.6923519 - -10.6928709. Let k = i - -1146. Round k to five dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.11 and -80307368289.\nAnswer: -80307368289.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 245\/(-70)*8\/(-112).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -78274 and -272961?\nAnswer: 194687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let x(n) = -6*n - 1. Let z be x(j). Let a = 17 - z. Solve 3*i = -3*u, 5*i + a = 2*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:34 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1431909, -1431916, -1431923, -1431930, -1431937?\n\"Answer: -7*b - 1431902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*2*sqrt(108) - sqrt(108)) + 3 - ((sqrt(108) - -3*(-1 + sqrt(108))) + 3 + -2*sqrt(108)))**2*-2.\nAnswer: -17594 - 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 5. Let a be f(4). Suppose -z + 3*z - x - 10 = 0, -5*z - a*x = -14. What is the third biggest value in z, 1, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a + 2268 - 2268)*(5*a + 6 - 6) - a**2 + 2 + 0*a**2 + 2*a + 1 to t*a + f + q*a**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/152 and 157\/746148.\nAnswer: 28353624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u - 5. Let y be a(5). Let v be (0 - 3)\/((-50)\/(-2 + -8)). Which is bigger: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5194861\/86 > -60405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let o(x) = -2*x**2 + 5*x - 1. Let r be o(1). Let h(y) = 2*y + 5. Let c(i) = -i - 3. Let s(q) = r*h(q) + 3*c(q). Determine -m(l) - 3*s(l).\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -4. Let y be (-1)\/((-1)\/3 + 0). Let t = -1 + y. Sort -3, a, t in descending order.\nAnswer: t, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25243086977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j + 81. Let t be c(12). Let h be (-2)\/(-2 + 62\/30). Let r = t - h. Let o(g) = -g**3 + 3*g**2 + 2*g + 3. What is o(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 21*b**2. Let v(s) = -572*s**2 - 231*s - 77. Let l(z) = -30*z**2 - 12*z - 4. Let t(f) = -77*l(f) + 4*v(f). Determine t(k(w)).\nAnswer: 9702*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4751, -9502, -14253, -19004?\n\"Answer: -4751*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70186 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 885791 to the power of 1\/2, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2\/5 - 242*u - 30108\/5 = 0. Calculate u.\nAnswer: -579, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -54*a - 29*a**3 - 3*a**3 - 13*a**2 + 24*a. Is v(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -23. Suppose 4*n + 0*b + b + 40 = 0, n + 5 = b. Let u = n - z. What is the smallest common multiple of 10 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 5*d**2 - 6*d - 1. Determine w(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 1. Let t be z(-2). Let i(s) = s**2 + 2. Suppose 0*d = 3*d + 6. Let q(m) = 6*m**2 + 109*m - 5*m**2 - 228*m + 3 + 119*m. What is d*q(g) + t*i(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6519 is divided by 3258.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-490)\/(-224)*(-22)\/715).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 6:57 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575739 to the power of 1\/2, to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9) + (-35)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.60533ml in litres?\nAnswer: 0.05160533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, -2, 4 in ascending order.\nAnswer: -162, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 25*l**2. Let v(i) = 4*i. Let o be (70\/6)\/((-6)\/(-18)). Suppose -19*a = -24*a - o. Let j(n) = -9*n. Let u(h) = a*v(h) - 3*j(h). Calculate u(x(r)).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 0 - 66*u - 9 + 6 + 9 + 38*u**2 + 12 - 6*u**3 = 0.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3030*c*w**2 - 10*c*w + 41*w**2 + 994 wrt c.\nAnswer: -3030*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490bab (base 12) to base 15.\nAnswer: 185ab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**1*g)*g**(-3)*g)**(1\/7) assuming g is positive.\nAnswer: g**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2\/27, 0.4, -153?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 10*v + 10*v + 10*v - 33*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 7*w - 3. Suppose 0 = -3*m + m + 36. Suppose 4*u - 5*q + 11 = 2*u, u = 5*q - m. Determine p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -934 divided by -61.\nAnswer: 934\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 589551128 a multiple of 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*o - 66038, -24*q - 5*o - 462002 = -31*q. What is the smallest common multiple of 2 and q?\nAnswer: 66006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -163 - -1465\/9. Which is the nearest to -2\/13? (a) -2 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3335 + 3?\nAnswer: 3338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43093 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(sqrt(1100) + 0 + 1 - (-1 + sqrt(1100) + sqrt(1100))*-3)*1*-1)**2.\nAnswer: -252000*sqrt(11) + 48513600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o + 2672 = -158*o - 1527. Which is the nearest to -4? (a) o (b) -0.05 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 32310, 5, 4 in decreasing order.\nAnswer: 32310, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhkhhkh. Give prob of picking 2 h.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-3 - -3)\/3. Suppose 3*d - 2*c = -w*d + 155, -2*d + 4*c = -114. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b20cc (base 14) to base 7\nAnswer: -23232345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -3.25 (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (27\/(-9) - -8)\/((-2)\/(-2234)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-9)\/6). Suppose p = -p - m + 5, -3*p = -2*m - 11. What is the third biggest value in 1, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5\/(-40)*10.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/187704965 and -3\/10.\nAnswer: 375409930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71 * 0.139\nAnswer: -9.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/(s\/s**(-27)))\/s)\/s)\/(s*s**29*s))**43)**(-11) assuming s is positive.\nAnswer: s**28380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49307.\nAnswer: 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4561.524s to minutes.\nAnswer: 76.0254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.3 - -24. What is the second smallest value in -11, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7423 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-46)*q)\/q**(-5\/3))\/(q\/q**(-3\/26)*q)**(-2\/41))**14 assuming q is positive.\nAnswer: q**(-945364\/1599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-4)\/(-6)*3. Suppose 164 + 321 = c*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -193*t - 14. Is 12 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 949*k - 839*k**4 - 1918*k + 966*k + 2 + k**4 - 2 + 0*k**4 - k**4 + 2*k**4 + (-4*k + 4*k + 2*k)*(3*k**3 - k**3 + 0*k**3) - k**3 + k**3 - k**4.\nAnswer: -834*k**4 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -11*f + 27. What is the greatest common divisor of 19 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-71 - 1703901\/(-23807)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142734460*a**2 + 799281262*a?\nAnswer: -285468920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) - (sqrt(77) + 2*sqrt(77))))\/(-3*sqrt(99)) - (sqrt(126)\/sqrt(3)*-3)\/(1*sqrt(384)).\nAnswer: -7*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23.815 + 21.44. Round u to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*sqrt(90)*-2)\/(sqrt(55)\/(sqrt(66)\/sqrt(96) - sqrt(11))).\nAnswer: -45*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -174343967843?\nAnswer: 174343967843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 65 - (-42 + 21)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750932 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1672 by -418.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -z + 4*z + 2*w, -z + 4*w - 10 = 0. Which is smaller: 2\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 58*k - 6*k**2 - 1961 + 77*k - 7*k - 582 + 9*k**2 wrt k?\nAnswer: 6*k + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17607021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-459)\/(-162))\/(70\/105*(-6)\/8)?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 23 = -2*t - 21*u, 57*t - 7*u + 207 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050638.\nAnswer: 2, 47, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/3 - 4*m**2 + 6*m + 12. Does 18 divide s(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -26. Let n(t) = -t + 4. Let d be n(0). Which is the second biggest value? (a) j (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10476816 divided by -1746136.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 21*y. Suppose 465*a = 463*a + 40. Let l be (-1 - a\/(-15))*42\/1. Let h(w) = -w. Give l*h(u) + m(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 52 = 11*z. What is x in 2*x**5 - 7\/4*x**3 - 1\/4*x + 3\/2*x**2 + 0 - 3\/2*x**z = 0?\nAnswer: -1, 0, 1\/4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*r + 17616 - 5034. What is the remainder when r is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/511 and 69\/34633828.\nAnswer: 242436796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 92.922?\nAnswer: 92.922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t**2 + 10587 - 10587.\nAnswer: -29*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**4\/8 + y**3\/6 - 18*y**2. Suppose 0 = 2*t + 3*t - 20. Determine r(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o + 3*i - 2206, 3*o + i = 6618. Suppose -86*c - 68041 = -338597. Let v = o - c. What is v rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28\/5 + -117\/20. Let i(z) = 90*z - 13. Let y be i(1). Let j = y + -79. What is the nearest to j in -1\/10, 1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 322056.\nAnswer: 1\/15336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 127*a. Let n(z) = z. Calculate n(s(o)).\nAnswer: -2*o**2 - 127*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-4 - -4) - (2 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1932 to 3 decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 1) + (140 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8, d - 22 = 4*z + 28. Let u be ((-44)\/165)\/(-2 - z\/5). Which is the second biggest value? (a) 3 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/40 + 220\/(-132) - (-8)\/(-20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363 (base 16) in base 10?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 1\/12*z**4 - 4*z**2 + 0*z + 0*z**3 + 0. Let l(k) = -3*k. Give d(l(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 2575475*p + 18028570.\nAnswer: -5*(p - 7)*(p + 515102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/5859459 and -11\/540?\nAnswer: 117189180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/2 - i**4\/2 - 2*i**3 + 2*i**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358028 and 20372836?\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-5) - -1)*(-1100)\/440\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10623 - 452?\nAnswer: -10a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/15 - 79453\/(-1705).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 630\/(-378) - 784292\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7759 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(171) - sqrt(171)) - 2*(sqrt(171) + sqrt(171)*-1))\/(sqrt(45)\/(3*sqrt(180))).\nAnswer: -54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12775*j**4 + 9592 with respect to j.\nAnswer: -51100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*g - 788 + 26732. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4249963 - -10614660?\nAnswer: 14864623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f - 16204 = 17692. What is the remainder when f is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4 - 12277*k**3 - 21165 with respect to k.\nAnswer: 8*k**3 - 36831*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 796020 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -111011100011 (base 2) to base 3\nAnswer: -12020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m + 1\/3*m**3 + 1\/60*m**5 + 6*m**2 + 0 - 5\/24*m**4. List the prime factors of c(13).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3155310 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -258, -546, -882, -1290, -1794, -2418, -3186?\n\"Answer: -4*u**3 - 260*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*u - 218, 5*u - 2*u = -3*k + 147. Let m(b) = -2*b - 12. Let w be m(-4). Let f = u + w. Does 21 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 16 = -2*y, -2*y - 131*g - 16 = -130*g for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 126 + 260*k - 122*k + 11*k**2 - 138*k.\nAnswer: 7*k**2 + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404370?\nAnswer: 2, 3, 5, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -15, -12, -1, 18?\n\"Answer: 4*g**2 - 17*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 488 - 132. Let v = 276 - 138. Suppose a + v = 4*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/427044 and -23\/513.\nAnswer: 3843396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000110000 - 1010010010?\nAnswer: -1001011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 78*a + 5739. Let g(f) = -254*f - 17216. Calculate -4*g(z) - 13*q(z).\nAnswer: 2*z - 5743","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/27 - (-2529)\/81. Let p = y - 29. Suppose 0 = 3*k - p*m - 2029, k + 4*m = -k + 1326. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1036, -2303, -3814, -5695, -8072, -11071?\nAnswer: -14818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 35511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484*n**3 + 155*n**2 - 1 wrt n.\nAnswer: 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 14 = -3*y, 0*y - 4*z - 40 = -4*y. What is the remainder when 15 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - sqrt(198)*4*-4)\/sqrt(11))\/(sqrt(576) + sqrt(576) + 2*-3*sqrt(576) - sqrt(576)).\nAnswer: -17*sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*m - 2069 - 8425 = 242*m for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61270 is divided by 2112.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 7, v: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.4 (b) 3\/106 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/22 + 8\/11. Let r = -9 - -9. Put x, -2, r in decreasing order.\nAnswer: x, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 17*b - 9*b. Suppose b*h - 162 = 2*h. Solve 0 = 2*v + 3*j - 23, 4*v = -4*j - h + 54 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w - 1404*w = 621*w - 84255 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 140, 339, 618, 971, 1392, 1875, 2414?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 609 = -345. Let y = 93 - d. What are the prime factors of y?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2*s + 55*c*s**2 + 29*s**2 - 18 with respect to c.\nAnswer: 14*c*s + 55*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 3502?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 24. Let s = 9 + q. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*j**3*u**2*x - 6007*j**3*x - 7*j**2*u*x + 16540*j*u**2*x + 6*x wrt u.\nAnswer: -82*j**3*x + 33080*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -303054, -4.\nAnswer: -303054, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -26 + 9 - t + 0*t. Let i be r(-14). Put 2, i, 4 in descending order.\nAnswer: 4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 52 + -47?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -9, 3\/2, -5, 5 in decreasing order.\nAnswer: 5, 3\/2, -0.18, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n - 3. Let z(c) = c. Calculate -f(p) + 6*z(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10617 + -2891.6\nAnswer: 7725.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3192753 and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 39*t - 3*t + 211 - 107.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 86711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 13. Let g = 1.99948 - u. What is g rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) + 12\/(-5). Let z be (-16)\/(-10)*(-5)\/d. Find the third derivative of 6*a**4 + 2*a**2 - z*a**2 - 5*a**4 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - -14680620\nAnswer: 14680610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 + 38 = 0. Let v be 15\/9 + (-4)\/s. Suppose -64 - 120 = -8*t. Which is the second smallest value? (a) v (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -j + 2361, 3*u - 2321 - 49 = 2*j. Does 22 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -16*y + 141. Let t be i(9). Let q(j) = 18*j. Let f(a) = -a. Determine t*f(x) + q(x).\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 7 - (40 - (45 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -130052624 + 145?\nAnswer: -130052446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from bby.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -20) + (1 - 3) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from dsghsyshggrgg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -5 (c) -1\/15 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 - 3020*g + 6047*g + 7*g**2 - 2*g**3 - 3025*g to the form m*g**2 + w*g + u + f*g**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 698*f - 3492\/5.\nAnswer: 2*(f - 1746)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191804097.\nAnswer: 3, 63934699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a + 3055 - 1528 - 1528.\nAnswer: -72*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 182 = 54 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - 6. Let w = f - -17. What is the units digit of (18\/5 - 3)*w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66639260, 66639259, 66639258, 66639257?\nAnswer: 66639256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241.7 + -242. Suppose -20 = q - 5*w, 5*q + 3*w - 20 = 4*w. Let s(m) = -m + 2. Let o be s(q). Which is the closest to o? (a) 4 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343564849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v + 2*v - v)*((-2 - 2 + 2)*(1 - 4 + 1 + (0 - 5 + 3)*(4 - 2 - 1)) + 3 - 6 + 5).\nAnswer: 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73838 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeiz. Give prob of picking 1 z and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18386 (base 9) in base 16?\nAnswer: -31aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206 and 18?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33190398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16144 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4*c + 16 = 0, -2941*t + 8 = -2939*t + 4*c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72534173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 102786703 a multiple of 629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 = 11. Let w(c) be the third derivative of -c**6\/120 + 7*c**5\/60 + c**4\/12 + 3*c**3\/2 + 69*c**2. Is 2 a factor of w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 0 - 1\/16*m**4 + 10*m**2 + 0*m + 1\/40*m**5 + 1\/12*m**3 - 1\/240*m**6. What is g in n(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-2)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**2 + 8*a**2 - 7*a**4 + a**2 wrt a?\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56572 = 30*o - 7688. Calculate the remainder when o is divided by 79.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*1.8\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 2, j: 3, c: 4, s: 1}. What is prob of sequence jvs?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.9 - 5. Let m = r + 0.2. Which is the biggest value? (a) 3 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -5*a**3 + 84450*a**2 + 10529460*a + 327009080 = 0?\nAnswer: -62, 17014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-16)*y*(y**(1\/27)\/y)\/y*y assuming y is positive.\nAnswer: y**(-431\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + -24. Let l be -6 + (13 - 3) - (1 + 0). Suppose -t = r - l*r. Calculate the lowest common multiple of r and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 + 203)*(-2)\/(-8) - (252 + -259)) + 5.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3344440 - 114?\nAnswer: -3400104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15622 divided by 214\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4861888 divided by 18.\nAnswer: 2430944\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 21102?\nAnswer: -21101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 10*f)*(-20*f**2 - 10*f**2 + 0*f**2).\nAnswer: -300*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or -41\/7?\nAnswer: -41\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6890911*y**3 - 1758*y**2 - 976 wrt y?\nAnswer: 41345466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10*d + 1. Let z be g(1). Let s be (-1)\/(-5) - z\/5. Solve 0 = -c + s*c - 4, 0 = 3*v - c + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*o + 11. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85230270.\nAnswer: 2, 3, 5, 47, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -479 + 478.999992106. Round x to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003205141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566904 is divided by 237.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 7*q + 4*q + (-11*q + 23*q - 6*q)*(-1 + 3 + 1) + (3 + 0 - 5)*(2 - 1 + 0 - q).\nAnswer: 18*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 4*i - 21. Let w = -54 - -61. List the prime factors of t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-4)\/(188\/(-705))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*h**4*j + 98*h**3*j - 2*h + 98718*j wrt h?\nAnswer: -216*h**3*j + 294*h**2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-44)*11\/(165\/(-20))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 13*f - 2050. Is (-7)\/6*f - (-34)\/51 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 15*f**3 + 24*f + 1. Let y(z) = -9*z**2 - 5. Let p(d) = -5*n(d) - 24*y(d). Determine p(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 10*p**2 + 13*p + 3. Give b(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23073456 and 11536728.\nAnswer: 23073456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + 46. Suppose -311 = 2*k + 5*p, 0*p - 5*p + a = -k. Let r = -106 - k. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -9, -15, -21, -27, -33?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/2, -1\/4, 2, -0.1, 0.2, -3\/158?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1379 - 306. Suppose -15*u = -6367 - f. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4858.747 nanometers?\nAnswer: 0.000004858747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.7 - -13.4. What is h rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*j**4 + 5*j**4 - 6*j**4)*(23 + 18 + 22 + 16) to r*j**4 + t*j + l*j**2 + q + c*j**3 and give r.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 5*i)*(3*i**3 - 6*i**3 + i**3) - i**2 + i**2 - i**4 + 2*i**4 + 3*i**4 - 2*i**4 + (0*i**4 + 0*i**4 + i**4)*(0 - 1 + 3)*(41 - 106 + 104).\nAnswer: 76*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 5*h + 5. Let n be c(4). Suppose 24*x + 54 = 30*x. What is the greatest common factor of n and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1124*n**2 + 3071*n**3 + 701*n**2 - 4 - 289*n**2 + 5 wrt n?\nAnswer: 18426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -124, -186, -270, -382?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194 - 94 - 146)*(-4*c - 2*c + 5*c) + (c + 3*c - 6*c)*(-3 + 5 - 4).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.9. Let y = h + -0.5. Let d = 13 - 8. Which is the nearest to y? (a) 4\/5 (b) d (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -4.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 858 = 9*m - 11*m, -5*m = -5*j + 1425. What is the remainder when j is divided by 69?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 + -4.36. What is the nearest to -3\/7 in 0, 3, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -353, -269, -129, 85?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 2*v + 2*v**2. Let h(u) = -5 + 2*u - 8 - 6 + 19. Calculate f(h(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31803, 4, 0.03, -261?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 29021*d + 5775172. Give s(-199).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a1 - 0?\nAnswer: 2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - -2)\/((-3)\/((-756)\/1)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 57\/12)*24. Let r = 75 - z. Suppose 2*u - 5*u = -r. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 39\/(-104)*(-2 + (-8)\/(-6)). Let p = 3 + -2.8. Which is the closest to v? (a) p (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen halves of a millisecond?\nAnswer: 6500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*q**3 - 17798*q**2 - 145987 with respect to q.\nAnswer: -24*q**2 - 35596*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/100875 and 31\/7.\nAnswer: 706125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*l = 73, 38 - 144 = -4*h - 2*l. Let c = -2 - -5. Suppose 5*r - 34 = -c*d, 0*d - 5*d = -r - 10. What is the greatest common divisor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 84195.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*k - 8 = 0, 4*j - 6*j - 5*k = 21. Calculate the lowest common multiple of 2\/(-3) - 44\/(-12) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 at most as big as -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 3*o**2 - 3*o + 2. Let a be x(2). Suppose -5*m - 5*m = a. Suppose m = 3*l + 5*s - 97, l + s - 3*s = 36. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577*m - 667 = -2*o + 616*m, 5*m + 93 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4929977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 17*o + 6. Let g be h(-8). Let n be 120\/234 - g\/(-3). Put -0.4, n, 3 in ascending order.\nAnswer: -0.4, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 14 = 5*y. Let u = y - -21. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((8*u**2 - 44*u + 44*u)*(6*u - 4*u - 3*u) - 69*u**3 - 346*u**3 + 83*u**3)*(-13*u - 4*u - u) as g*u**4 + n*u**2 + v*u + i + y*u**3 and give g.\nAnswer: 6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8799 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101651237?\nAnswer: 23, 151, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*q - 22*q - 3*q + 51*q - 22 wrt q.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3040, -6484, -10646, -15526?\n\"Answer: -359*d**2 - 2367*d - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32125951 divided by -94211?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21410210 by -10705105.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + 0 + 0)*(-3 - 1 + 1) + 3*k - 2*k - 3*k + (1 - 6 + 3)*(6*k - 2*k - 2*k) - 44*k - 2*k + k to c + r*k and give r.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:04 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481429 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**7\/840 + o**6\/180 + o**5\/120 + o**3\/2 + 2*o. Let y(i) be the second derivative of x(i). Solve y(f) = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 1033 - 3017 = 2*q, -3*a + 1487 = -2*q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3463518 and -48 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2))\/(a*a*a**19*a)*(a\/a**3)**(-33) assuming a is positive.\nAnswer: a**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2839 - 2836. Which is greater: v or 1612?\nAnswer: 1612","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*j**2 - 150*j**2 - 3 - 112*j**2 as t*j**2 + w*j + f and give t.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63\/8 - 61\/8. Let z = 5 - -4. Suppose 3*x - 2*x = -z. Which is the fourth biggest value? (a) o (b) 1 (c) x (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 + 15 = 0. Suppose 3*i + 2*s - u = 5, 0 = i - 4*s - 2. Let d be (56\/(-20) + 4)\/(i\/10). Solve 3*l = 4*q - d, q - 4*l = -q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -11. Let u be (-8)\/y + 0 - -1. Is (5 - 3) + (u - -116) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 4. Let o be u(-1). Suppose -l = -3*f + o*l + 1147, -5*l + 376 = f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u**2 + 2*u**2)*(-4 + 4 + 5*u) - 5*u**3 + 2*u**3 + u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -5, 16, -0.123, -2\/125?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:34 AM?\nAnswer: 701","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 7?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + p**2 + 4*p - 2. Suppose 0 = -d + g + 7 - 138, -d - 139 = 3*g. Let c = d + 136. Calculate w(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42373, 42845, 43631, 44731, 46145?\n\"Answer: 157*d**2 + d + 42215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*g**2 + 106*g - 106*g)*(-4 - 5*g**2 + 4 + (4*g - 2*g - 4*g)*(-5*g + 6*g - 2*g)).\nAnswer: -183*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40008*j**3 + 94 - 22 - 26 - 46.\nAnswer: 40008*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*t - 70 = 0, 0*t = 4*m - t - 95. Suppose -2*i = -m + 9. Suppose 26*s = 30*s - i. Solve 3*c = s*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6633 divided by 3.\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001310187 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + 63. Let n = -84 + d. What is the nearest to n in -0.2, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**3 + 239*m**2 - 9*m - 13052. Give r(119).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 3731.18\nAnswer: -3727.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 u, and 1 f when four letters picked without replacement from {p: 2, u: 4, d: 1, a: 2, f: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - -112?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {e: 2, p: 3, s: 11, w: 3}.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -6*k - 32*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65 or 446\/7?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 16*t**2 + 3*t + 55. What is p(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31349011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8051, 7687, 7265, 6755, 6127, 5351, 4397?\n\"Answer: -5*h**3 + h**2 - 332*h + 8387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -385, -794, -1179, -1528, -1829, -2070?\n\"Answer: 2*s**3 - 423*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014218631 to six dps.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1910883547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzs when three letters picked without replacement from raoozszcosossosoo.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 83.2. Let r = -10.2 - -11. Let v = r - 3.8. What is the closest to v in 3, k, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 7*l + 1 = 0, 20*o - 29*o - 12*o - l + 102 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*m - 6*m**3 - 11*m + (1 - 1 + m**2)*(55557 - 55557 - 228*m).\nAnswer: -234*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97717 bigger than 98957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(1274\/520)*4\/1.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 - 149. Let a(y) = -y**2 - 1. Let l(t) = -t**3 + 2*t**2 - 2*t + 21. Let u(r) = 4*a(r) + l(r). What is the remainder when 46 is divided by u(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2225 and 43165?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, 1 u, and 1 m when four letters picked without replacement from uuuumruummvzmm?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**8\/336 + a**5\/30 - a**2\/2 - 1. Let m(j) be the second derivative of v(j). Find the third derivative of m(b) wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2709, -3\/2284, 1, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*z - 69291 = -1211. Suppose -5*w - 178 = -573. Calculate the remainder when z is divided by w.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 57?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 808?\nAnswer: 1\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.91 - 0.09. Let w = -297.1 + 296.6. What is the second smallest value in -1, x, 3, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6300)\/(-896) + 86 + -93?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/35 - 5\/7. Sort -1\/4, f, -5.\nAnswer: -5, f, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/3 of a decade in months?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 7:38 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 1.2. Suppose j = 2 - 1. What is the nearest to p in 0, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 33644248.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127710 and 54954?\nAnswer: 9067410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f + 0*f + 49*f = 810 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Does 5 divide -1 + 18 + (l - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698361937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1983 is divided by 858.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2309 by -7.\nAnswer: 2309\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + ((sqrt(605) - (3 + sqrt(605) + -2 + sqrt(605))) + 1 + 1*sqrt(605))**2*4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:07 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6765, 3 in increasing order.\nAnswer: -4, 3, 6765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6.505 (b) 2 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m + 88*m = 2*v - 222, -5*m = -5*v - 250. Solve 5*f + 10 = -2*h, 4*h + 43*f - 6 = m*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z - 2. Let o be q(-6). Suppose -r + o = -2. Suppose -5*a = -a - r. Solve -a*p = -7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 1 - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**3 - 2*m - 1. Let r be n(-1). Let a be -11*((r + 3)\/(-2))\/1. Let x(t) = -t**3 - 10*t**2 + 4*t + 19. What is the tens digit of x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - r + 70*r**2. Let x(i) be the first derivative of -2*i**3\/3 - 1471. What is j(x(a))?\nAnswer: 280*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3005, 2985, 2967, 2951, 2937, 2925?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*o - 3*o = 85, -2*s = -5*o - 37. Let p be -6*(-1 - (s\/(-12))\/2). Suppose -p*h - 2*h = -6676. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 399713196?\nAnswer: 1998565980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**3 + 35*y**2 + 26*y + 7. Calculate q(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*d = 137*d + 90 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 22*t**4 + 30*t**3 - 70*t**2 - 28*t + 48 = 0.\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935280 is divided by 1338.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 = -67*i - 5*w, 4*i + 2*w = -3*i + 9*i - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63.9 and -404.953?\nAnswer: -25876.4967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 100 (c) -6\/5 (d) -0.4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173803, -347615, -521427, -695239, -869051, -1042863?\nAnswer: -1216675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/976176 and -99\/112.\nAnswer: 6833232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 11}. What is prob of sequence rll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4 - 45631*i**3 + 5777911*i**2 - 1407401*i - 4324875 = 0?\nAnswer: -11533, -3\/4, 1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 + 12 = 0. Let n be -1 - (-1 + b - -4). Put n, 1, -5 in increasing order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:42 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6006 or -6005?\nAnswer: -6005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13922552 is divided by 2400.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303 - -5?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 100 - 152. Let n = -40 - a. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4511 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 3*a**2 - 5*a - 6. Suppose -q + 33 = y, 4*q - 3*y - 125 = -0*y. Suppose p - i - 20 = 5*p, 5*p = -3*i - q. Let x be o(p). Sort x, -4, -5.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2118 and 4?\nAnswer: -8472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + 2*n + 1. Let m be b(-1). Let h(d) = 921*d - 44. Let x be h(m). Round x to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 30*u - 31*u, u = 4*p + 49. Let x(n) = -n**2 - 12*n + 1. Give x(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 293*f - 291*f = -4, 4*n + f = -7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0*f + 60. Suppose 7*g - 2*g = f. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l + 1 - 8*l + 7*l + 6*l. What is the units digit of x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 17.442. Let a = o + 42.142. Let l = -25.4 + a. What is l rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 232053396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3418620 to the nearest integer?\nAnswer: 1849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 972 = -32*d + 34*d - 6*h, 0 = 4*d + 3*h - 2034. What is the remainder when d is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 2*s**2 - 2*s - 1. Let i be t(-2). Suppose 5*w - i = 7. Let d(n) = n**2 - 1. Let b be d(-2). Solve m + 3 = j + w*m, b*m = -j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 85. Let z = -99 + 49. Let n = z + v. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 3*w. Let p(j) = -j**3 - 6*j**2 - 2*j + 5. Let b be p(w). Let r be (-6)\/b - (-4)\/10. Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*d = -d + 2734, -d = -2*a + 1826. Suppose 0 = 4*q - 5*s - a, 908 = -2*q + 6*q - 4*s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -11431*r + 11432*r + 2, 4*r = -9*l - 25 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 8) in base 6?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-147))\/((-9)\/21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7594 - 6903. What is the remainder when d is divided by 339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*j + 186, 3*u + 4*j = 7*j - 114. Let o be (-264)\/u + 2\/3. Let d(h) = -3*h + o*h - 5*h - 3*h. Let b(t) = 2*t**2. Calculate b(d(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-8))\/(2\/(-2)))\/(6310\/15144).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71324 and 121?\nAnswer: 784564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -4, 0.2, 6\/7, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7876*r + 2 - 6 + 1 - 7865*r to the form g + u*r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 o when four letters picked without replacement from {j: 5, o: 3, m: 1, h: 3}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66894*i**3 - 66899*i**3 - 66901*i**3 + 200690*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - u = -9876 + 9885, 26 = -2*s - 6*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -330, -299, -248, -177, -86, 25?\n\"Answer: 10*m**2 + m - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30420010 + 1131?\nAnswer: -30413324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:37 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 4695 - 4695 - p**3. Let j(h) = 18*h**3 + 21*h**2. What is 63*i(v) + 3*j(v)?\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3 - 11) + 11 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 206052765.8 to the nearest one hundred thousand.\nAnswer: 206100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -13*k - 35. Let s be q(-3). Suppose 0 = -7*r + 5*r - 2, -244 = -5*l + s*r. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.9*27.4\nAnswer: 161.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15360032 and 370?\nAnswer: 76800160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29489661 is divided by 1340439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15845 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1469270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25354, -203526, -687336, -1629604, -3183150, -5500794, -8735356, -13039656?\n\"Answer: -25470*i**3 + i**2 + 115*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 166, 344, -74, -1676, -5050, -10784, -19466?\n\"Answer: -98*h**3 + 290*h**2 - 6*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from hcchphppchhcgfhcfc.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 360 = -20*t, -127*t + 18*t - 2056 = -369*c + 366*c for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 36\/1904447?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -1384?\nAnswer: -1384.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 8*n**2 + 89*n + 10. Let v be (0 + (-26)\/(-10))\/(6\/30). Let u be y(v). Calculate the highest common divisor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8661*n**3\/4 + 8031*n**2\/2 - 6141*n\/4 - 315.\nAnswer: -3*(n - 1)**2*(2887*n + 420)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80144 + -47840. Suppose -k - 1621 = -25*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122247 and 222241.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h. Let x(u) = -6*u + 9. Let c(b) = -8*b**2 - 144*b - 135. Let d be c(-17). Give d*x(o) + 2*y(o).\nAnswer: -4*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 3*b**2 + 3*b. Let z be h(1). Determine w so that 1599*w**2 + 8*w**4 - 7*w**4 - 507*w + 8*w**4 - 163*w**z - 74*w**3 = 0.\nAnswer: 0, 1\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*z = s - 70*z - 81, 3*s + 2*z - 239 = 0. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:23 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -439\/4 - -219\/2. Which is the fourth biggest value? (a) -44 (b) -2\/19 (c) 4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 16 - 13 - (44 + (16 - 7))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 33, 1, 9\/4, 4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2315183, 4, 8.\nAnswer: -2315183, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 1\/2*q**2 + 28*q + 19\/3*q**3 + 123 + 1\/4*q**4. Calculate h(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -0.911, 0.12, -1, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -14*y**2. Let n(p) be the first derivative of -p**2\/2 + 4. Calculate n(c(v)).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.4, 1028, -1\/3, 4, -13 in decreasing order.\nAnswer: 1028, 4, 0.4, -1\/3, -3\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 11 + 139*u - 11.\nAnswer: 139*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, -4, 8, -8 in descending order.\nAnswer: 8, 1, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k**3*z + 31241224*k**3 + 140*k**2*z - 12*k*z + 21*z wrt z?\nAnswer: 2*k**3 + 140*k**2 - 12*k + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**5 - 460*h**4 + 465*h**3 = 0. What is h?\nAnswer: -93, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317.137 - 317. Let b = -0.13707 + o. Round b to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8272 divided by -8?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 10*y + 231\/4.\nAnswer: (y + 7)*(y + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/338 and -5\/2?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 436228771 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 7. Let p be 2\/(16\/(-10) - -2). Let v be z(p). Let q be v + (1 - (1 - -2)). What is q rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times 167?\nAnswer: 3340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 40 = -2*a. Let p = -21 + a. Let s(l) = 2*l**2 + 3*l + 12. Let q(b) = -b**2 - b - 6. Let c(g) = p*q(g) - 6*s(g). Give c(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 1\/3, 47, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1962\/(-180)*-4 - (-7 - ((-2128)\/35)\/8)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228632?\nAnswer: 2, 28579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301828131?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + f - 8. Let i = 0 - 0. Suppose i = -0*m - 4*m. Calculate w(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*u + 30*u + 53*u - 136*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*0.01.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {d: 6, f: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, o: 1, e: 5}. Give prob of picking 4 e.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-3\/4)*z*z)\/z*z*z)\/z**(-5)*(z\/(z\/z**1))**34 assuming z is positive.\nAnswer: z**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 12. Let p(s) = -46*s - 10. Let y be 15\/(-6) + (-1)\/(-2). Calculate the remainder when p(y) is divided by i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 - 217*x + 67. Determine r(43).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -65, -62, -59, -56, -53?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 7:25 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*n + 12 = 5, 3*n = -9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115990662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (748\/3)\/((-13)\/(-39))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 h, and 1 m when four letters picked without replacement from htppptmpkphpuh.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 3)*(-125)\/10. Suppose f - 113 = -n. What is the common denominator of 1039\/f + (-6)\/33 and 1\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 3*a - 5 + (4 + 0 - 2)*(-a + a + 6*a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -s + 2, d = -s + 4*d + 2. Let h be 0*s*2\/(-8). Is h < -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/4 (b) -4\/9 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183074, -732264, -1647580, -2929022, -4576590, -6590284?\nAnswer: -8970104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*r = -52*r + 21. Suppose -184 = -r*p - 187. Let j = 9 - 4. Sort p, j, 4, 12 in decreasing order.\nAnswer: 12, j, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4094, -7692, -11290?\nAnswer: -14888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13 + 9 + c**2 - 4 + 13*c - 2*c. Let m be (-4)\/(-8) - 50\/4. What is the units digit of w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 m when three letters picked without replacement from {c: 1, w: 1, m: 1, x: 2, g: 1, d: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2995636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2, k: 1, j: 1, z: 2, u: 5}. Give prob of picking 1 z and 1 q.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 13. Let n(b) = 18*b + 1. Let t be n(v). Factor 20 + c + 2*c**3 + c - 4*c - t - c**2.\nAnswer: (c - 1)*(c + 1)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -1, 11, 2 in increasing order.\nAnswer: -1, 2, 5, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + 5*o**2\/2 - 6*o - 6. Let x be s(-8). Calculate the highest common divisor of x and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v + 50. Let d be q(16). Suppose 15*p - d*p + 321 = 0. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22\/13 (b) -0.2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/1796?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 17, -1.1, 0.006, -0.47?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5129 - 5127. Solve 2*o = -s + k, 3*o - 10 = -2*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 146*s + 995*s = 19*s + 5178 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 + 3*u**3 - 3*u**3)*(1 - 1 - 1)*(0 - 3 + 5) + (2 - 2 + u**2)*(0*u + 0*u - u) as a + z*u**3 + h*u + f*u**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -230286.\nAnswer: 230285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n + 55. Determine c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 209 = 191. Let z(m) = -6*m**3 - 6*m**2 + 6. Let w(b) = -b**2 - 1. Let i(a) = -5*a**2 - 6. Let l(v) = 2*i(v) - 11*w(v). Calculate p*l(x) - z(x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -10, 1, -2 in ascending order.\nAnswer: -10, -2, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 870 + 5755b?\nAnswer: 5820b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 47 + 1. Let l = 25 + u. Suppose -79 + l = -i. What is the remainder when i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2*b + 10*b.\nAnswer: 8*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*v - 5*l, v = 2*l - 6*l - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n - 472. What is w(-53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -111.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210127 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -30*k + 10. Let t be l(7). Calculate the common denominator of (t\/(-96))\/((-1)\/(-8)) and (-63)\/4 - (-3)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 817045419?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6379 is divided by 195.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**5 + 3*k**5 + 0*k**5 + (4 - 4 - 10*k)*(k**4 + 0*k + 0*k) + (k**3 + k**3 - 3*k**3)*(2*k**2 - 2*k**2 - k**2).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 + -112. Let l = -137\/20 + 33\/5. What is the third smallest value in b, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, l: 4, z: 2, g: 5, p: 1}. What is prob of sequence clgp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 51262923 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 4:29 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let x(s) = -2*s + 4. Let f be -1*(-2 + 4\/4). Let j = 0 + -4. Let n(g) = f*x(g) + j*v(g). Let y(m) = 2*m. Give y(n(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) + 14\/8. Suppose -32 = o + 3*o. Let x be (4\/(o\/(-6)))\/5. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/30 + 7*n**4\/24 - n**3\/3 + 4*n**2. What are the prime factors of y(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 0.3 in increasing order.\nAnswer: -0.4, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d**3 - d**2 + 8348 - 4170 - 2*d**2 - 4171.\nAnswer: 43*d**3 - 3*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-4) - (-513)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163\/(14181\/58)*156.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -38\/1744461 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**4*o - 5341*h**4 + 2*h**3*o - 56609*h**2*o wrt h.\nAnswer: -24*h*o - 128184*h + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -87, -188, -311, -438, -551?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/(-30)*-3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 + m + 4. Let d be w(4). Suppose 0 = t - 2*l - 7, -l - d = -0*t - 2*t. Is (-6)\/1*(-3)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 666 and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*11\/(-33))\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 4*k + k + 3, -3*w - 2*k - 17 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2622069?\nAnswer: 3, 23, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38979419 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/(3\/24)*(-2354)\/4708. Factor 40\/3*d**2 + 12*d**3 + 14\/3*d**4 + 2\/3*d**5 + y*d + 0.\nAnswer: 2*d*(d + 1)*(d + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - 167.4. Let m = s - 14.5. Which is the fourth biggest value? (a) 5 (b) m (c) -0.5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6847492415 to the nearest integer?\nAnswer: 82750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 131430043 (base 6) to base 7\nAnswer: 31052244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*d + 14821 - 51940 - 47418 = 4385*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4, 252*o = 247*o - 4*b + 2762. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59512146.3 to the nearest one thousand.\nAnswer: -59512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-10) - (-7)\/(-5). Let q be 3 + (6\/(-2) - l). Solve -q*b = b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:51 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 2\/2*3. Let s = 349 + -2787\/8. Is o at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 4. Suppose -1 = n - s. Find the third derivative of 6*w**2 - 4*w**2 - 2*w**5 + n*w**5 wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07712 + -549.92288. Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(36\/(-264))\/(9\/2)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-5 + 5 + -1)*-1. Calculate the common denominator of ((-19)\/g)\/((2 + 50)\/(-4)) and -67\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -953 - -972. Calculate the greatest common divisor of 57 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -9*x**4 + 38919*x**3 - 19064883*x**2 - 12740199*x + 6363612 = 0.\nAnswer: -1, 1\/3, 564, 3761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 11, v: 3, u: 3}. Give prob of picking 2 l and 2 u.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a. Let b(s) = -2295*s. What is -b(q) + 510*t(q)?\nAnswer: 255*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((45\/5)\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 + 354*d**4 - 17253*d**3 + 103082*d**2 = 0 for d.\nAnswer: -398, 0, 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + h**2 + 28. Calculate o(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3422992 divided by -3\nAnswer: 3422992\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22951 = -2*c + 4*c - 5*a, -4*c + 45884 = -4*a. Let o = 183583\/16 - c. Calculate the common denominator of (-4)\/14 - (-482)\/21 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 98*w**2 + 299*w + 86. Determine c(95).\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 33 = 0. Let d be 1\/((-1)\/2) + q. Suppose d*w - 14*w + 75 = 0. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w**3 + 2*w**2 - 11*w - 8. Let s(m) = -20*m**3 - 5*m**2 + 32*m + 23. Let l(g) = 17*o(g) + 6*s(g). Let z be l(6). Let y = -12 - z. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1071 by 63.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1085.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 6*x - 30, -4*x + 11240*z - 12 = 11244*z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -23302550 not equal to -23302580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 25\/125 + 34\/(-20)*-34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*j - x, 3*x = -4*j - 3861 + 3868 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j**(1\/3)*j))\/j)\/j)\/j**6*(j**2)**(-10\/7))**(-18) assuming j is positive.\nAnswer: j**(1410\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041379?\nAnswer: 3, 11, 31, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 74?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11128 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1803.\nAnswer: -1\/1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccqccccdqqcdcqq. What is prob of picking 2 q, 1 d, and 1 c?\nAnswer: 32\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -5 + (0 - -32).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(2835)*-1 + sqrt(2835) + sqrt(35)))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -80150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (82\/(-615))\/(-2 - 840\/(-388)) and 113\/1020?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2. Let p(g) be the first derivative of 11*g**4\/12 + 15*g**2\/2 - 10. Let u(h) be the second derivative of p(h). Give u(s(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46444656 and 75.\nAnswer: 1161116400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12740553 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: Collect the terms in -5*n**2 + 5*n**2 - n**2 + 0*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -787 (c) 1\/3 (d) 3\/10 (e) -0.3 (f) -0.052\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 253627262.31.\nAnswer: -253627262.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1118 + 1163. What is the lowest common multiple of v and 33?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 8*o - 8. Let t = 1 + -8. Let l be q(t). Which is smaller: l or -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512 by 1.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*k = 2, 3*k - 29 = -4*o - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12750973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 838*z**2 + 534*z**2 + 279*z**2 + 5*z**4 = 0 for z.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1118 + 1601. What are the prime factors of p?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/4 - 8*h**3\/3 + 2*h**2 - 10*h - 49. Suppose 2*z - 8 = 8. What is the lowest common multiple of x(z) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -7. Let t = -84 - -169\/2. Which is the closest to -4? (a) t (b) k (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) - sqrt(3)) + 4 + 5 + 5*(sqrt(243)*1)**2.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2030 - -4?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*h + 1590922 + 9977078. Round h to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -38, -97, -208, -389, -658, -1033?\n\"Answer: -3*a**3 + a**2 - 7*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmzqy. What is prob of sequence mzr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15125 by 3025.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/3 + 0 - -5. Solve a - 3 = 4*p, -5*p - 31 = -2*p + n*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 4566875846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + f + 3*f - 428 = 0, 3*f = -4*j + 573. Let b = -85 + j. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4346701 is divided by 117478.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3476000 = 8*z - 19*z. Round z to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3163, 18328, 57493, 132658, 255823, 438988, 694153?\n\"Answer: 2000*h**3 + 1165*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 8*b**3\/3 + 2*b + 3. What is the first derivative of o(y) wrt y?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*c - 17 - 60, -5*z = 4*c - 86. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 20*p + 58*p - 8*p + 507 - 18*p - 6*p - 9*p.\nAnswer: 2*p**2 - 3*p + 507","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 26.99, -2.4, 827 in ascending order.\nAnswer: -2.4, 26.99, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 + 3*l**2 - 2*l - 5. Determine a(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2043\/8 + -255. Which is the nearest to 1\/3? (a) t (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - f + 1. Let x(z) = -z**3 + 12*z**2 + 4*z. Let j(d) = -6*u(d) - x(d). Let a be j(6). Suppose -a*r - 291 = -9*r. List the prime factors of r.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: a283b (base 12) to base 2\nAnswer: 110011110000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**3 + 32497*r**2 + 54172*r - 21668 = 0.\nAnswer: -2, 1\/3, 10834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 259 - 243.28. What is m rounded to 0 decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*v - 0*v + 23, -3*v = -5*n + 37. Suppose 0 = z + 2*q + 6, n*z + 0*q = 5*q + 15. What is the third smallest value in z, 3\/2, 0.7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kskkkkkkksksknsks. What is prob of picking 2 s and 1 k?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 3\/1 + 2. Let g be 28*(30\/b - 3). Suppose a - 4*p - 243 = 0, 68*a = 71*a + 2*p - 687. What is the greatest common factor of a and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 24*y**3 + 18*y**2 + 18. Let i(t) = -t**3 - t**2 - 1. Determine -18*i(b) - l(b).\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/27)*r**(-45)*r*(r*r**(-16)*r*r*r*r)\/((r\/(r*r**(-10\/17)))\/r))**(20\/9) assuming r is positive.\nAnswer: r**(-500780\/4131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -8541 to the nearest 100.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4185 and 2.\nAnswer: 8370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 + 277*b**3 - 14444*b**2 wrt b.\nAnswer: 120*b**2 + 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*c + 3742 = -1733 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.9 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 191001116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 66*x**2 + 1356*x**3 - 683*x**3 - 675*x**3 = 0.\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3313.36 - 2235.5. What is l rounded to the nearest ten?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33839672?\nAnswer: 2, 641, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 91875166 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 156, 166, 166, 150, 112?\n\"Answer: -l**3 + l**2 + 14*l + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 2*u**4 + 2*u**4)*((-253 + 253 + 6*u)*(0 - 3 + 6) - 5*u + 3*u + 3*u).\nAnswer: 38*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 + 3.93. Let x = 8 - 11. Sort -1\/3, i, x in decreasing order.\nAnswer: i, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326768437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -6123 + 5115. Which is smaller: 75 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78980985749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(-4 + 1 + 5) + 1 - 1 + 1)*(-2 + 5*f + 2 - 2*f + f + 0*f - 3*f + 2 - 2 + (1 - 1 + 2)*(2*f - f + 0*f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*a - 0*a. Suppose -80 = -5*r + 40. What is the highest common factor of r and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 + 7*q + 32. Find the common denominator of (-2)\/4 + 92\/10 and a(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 93 - 93 + 34*d - 9*d to f + b*d and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 10. Let r(j) = 6*j + 125. Let k be r(-17). Suppose 0 = 4*l - 55 + k. What is u(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11318537*o + 11407581.\nAnswer: 11318537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 - 136\/(-6). Let x(w) = -6*w**3 - w**2 + w + 1. Let q be x(-1). Solve s = -4*s - q*z + 40, -4*z + h = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p + 10 = 24*p. Let l(k) = 9 - 4*k - 4*k + k + p*k + 8*k**2. Let b(a) = -2*a**2 + a - 2. What is 9*b(i) + 2*l(i)?\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (48\/1440)\/(12\/(-16))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 46. Suppose 0 = -2*a - 0*a + k. Let s(b) = -3*b - 2. Calculate the lowest common multiple of s(-2) and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-4)*(-4 + 8). Suppose -m - r*t = 4, 31 - 3 = 5*m - t. Let o = 32 - 17. Solve 0 = -4*d - 2*p - 30, -4*d + 6*d = m*p + o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -266 by 18278.\nAnswer: -7\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 19\/13493007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p = 15, 0 = 5*w + 3*p - 35. Let v = -17 + 27. What is the lowest common multiple of 164\/w - 4\/v and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2898\/54 - 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-5)*(-6 - 525\/(-87))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111100100100011 + 1010?\nAnswer: -10100111100100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10205430 - 11550?\nAnswer: -10221420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/43, 236, -3, 2 in decreasing order.\nAnswer: 236, 2, 1\/3, 1\/43, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/506 and -19\/16553583?\nAnswer: 364178826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5*q = 61, -191*q + 192*q - 19 = r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1523 - -3?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(102) - (sqrt(102) - (sqrt(102) - (sqrt(102) - (2*sqrt(102) - sqrt(102)))))) + sqrt(102))\/(-1*1*sqrt(6))*1 + 1 + 2.\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 - 6*a + 5. Let f(l) = 7*l**2 - 3*l + 2. Let m be f(1). Determine u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + (-3*sqrt(117) - sqrt(117))\/sqrt(9)*-2.\nAnswer: -7 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -3. Calculate the lowest common multiple of 15\/(-5) + -1 + 5 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60020487 is divided by 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/93 and 5\/6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-224)\/84*3\/(-24)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3098 + 3.1.\nAnswer: 3101.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/a)**(40\/7)\/(a**(3\/5)\/(a*a*a**(-1\/2)*a)))\/((a**(-1))**5*((a\/(a\/a**1))\/a)**43) assuming a is positive.\nAnswer: a**(-551\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -833179 - -24?\nAnswer: -833155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 66\/7 (c) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(931))**2*-1.\nAnswer: -3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -16. Let g = -8.1 + x. Which is the third smallest value? (a) 3 (b) -0.05 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Suppose 39853 = 4*g - u*t, -3*g + g + 19959 = 5*t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by -3939?\nAnswer: 25\/3939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (10 - (13 - 8)) + -5 + 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 461\/23? (a) -0.4 (b) -0.105 (c) 5 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 115, 212, 389, 658, 1031?\n\"Answer: 2*t**3 + 28*t**2 - t + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365 - 206. Suppose 0 = 2*n + 3*l - 161, n - i = -n - 5*l. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*w**2 + 8*w**3 + 216*w**2 + 36 + 16 + 120*w - 378*w.\nAnswer: 2*(w - 1)*(w + 26)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239631*z = -239756*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -563\/143? (a) -2\/3 (b) 3\/5 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374098 + -7.\nAnswer: 374091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.5. Let j = m - 0.4. Let h = -2282.3 - -2282. Is j equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*4\/(-32))\/((-116)\/(-8)*32\/64).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {q: 7, w: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q = 48*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4 - -4) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwtttwt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99891243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**7\/315 + j**6\/240 - j**5\/60 - j**4\/24 - 3*j**2. Let p(r) be the second derivative of b(r). Is p(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2488 times 1126?\nAnswer: -2801488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -8*x - 21. Suppose 0 = -x*h + h - 36. Let y = 8.1 + -8. Which is the nearest to y? (a) -0.3 (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29 (b) 3\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + a = 14, -2340*w + 18 = -2343*w + 3*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.1 + -3.1. What is the second smallest value in -2\/7, -3, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 845*x**2 + 35275*x - 36125.\nAnswer: 5*(x - 1)*(x + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 61*s - 58*s - 5*j, -3*j = s - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/14388 and 149\/2616.\nAnswer: 28776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - o = -8, 2*d - 2*o - 104 = -112 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -94474.\nAnswer: -3\/94474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -460? (a) 5 (b) 155 (c) -0.7 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-1989))\/((-2)\/3)*-2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55 and -7787.\nAnswer: -7732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 15\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 46962*c**3 - 191640843*c**2 + 61481523312*c - 5141825396928.\nAnswer: -3*(c - 7656)**2*(c - 171)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (149*x + 327*x - 3 + 4 - 57*x + 4)*(0 - 5*x + 0).\nAnswer: -2095*x**2 - 25*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154173 is divided by 437.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:11 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2*w**3 + 45*v**2 - 11*w**3 - 2*w wrt v.\nAnswer: -4*v*w**3 + 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*n**4 + n + 21*n**4 - 6*n**4 + 2*n**2 + 2*n**3 to s*n**3 + p + m*n**2 + k*n**4 + f*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 3*f + 6*f - 3 + 3*f. Let d(k) = 6*k - 4. Let s(c) = -3*d(c) + 4*t(c). Let h(q) = -2*q. What is s(h(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (70 - 7) - 46?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23155.4 - -23155. Which is the nearest to r? (a) 0.2 (b) -0.5 (c) 329\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjke when four letters picked without replacement from {j: 4, e: 2, k: 3, p: 1, c: 4, z: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 2*j - 6. Let n be o(2). Let l(a) be the third derivative of 0*a + 9*a**n + 0 + 1\/64*a**4 + 1\/160*a**5 + 0*a**3. Suppose l(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 453.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 + -284.6. Let o = -297 + 302. Which is the third biggest value? (a) q (b) o (c) 3 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**5\/20 - 2*i**4\/3 - 4*i**3\/3 + 4*i**2 + i. Let k be o(-7). Suppose k = m + 4*m. Solve -2*c + m = -1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -1 - (-1 - -1 - 5). Suppose 3*t + o = 12. Suppose 4*z + 2*a = 36, a + t*a = 12. Let b(r) = r - 1. What is b(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {f: 6, u: 3, v: 3, y: 1, c: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82172, -82143, -82110, -82073, -82032, -81987?\nAnswer: -81938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3611732 rounded to three decimal places?\nAnswer: -12.361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 9) in base 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -3, -41, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i - 73. What are the prime factors of d(16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/12*0)\/(-2). Solve 3*b + 15 = -f, -2*t = -5*b - 29 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 2)*(9*a**3 - 6*a**4 - 47*a**3 + 5*a**4) to the form o*a + r*a**3 + k + t*a**4 + m*a**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 18 - 12) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -6*l - 5*r - 27, 0 = -5*l + 3*r + 24. Which is the second smallest value? (a) 4 (b) 29 (c) l (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddw when three letters picked without replacement from {d: 2, w: 1, y: 1, a: 2, i: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(3\/8))**(2\/29))**17 assuming j is positive.\nAnswer: j**(187\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6}. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9901)\/2)\/((-2 + -13)\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -309, -461, -613, -765?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/2, 2\/7, -1 in ascending order.\nAnswer: -3\/2, -1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.9 - 0.1. Let z = 4 + -5. Let h = 4 + -3. Which is the closest to z? (a) h (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 155*w + 2380. What is the lowest common multiple of c(0) and 112?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196917*n**4 - 109193*n wrt n.\nAnswer: 2363004*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.52541 months to years.\nAnswer: 7.3771175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q\/(q*(q**(-1\/8)*q)\/q*q))*q\/(q*(q**(-1\/11)\/q)\/q*q)*((q**(-8)*q)\/q)**(-3\/16) assuming q is positive.\nAnswer: q**(481\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n - 26. Calculate g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-1 - -1)\/1. Suppose -r*x = 2*x - 12. Suppose -13 = -2*n + x. Solve 0*y + 2*y = -n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 190 (b) 2\/239 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 116*z**2 + z - 12. Give m(-58).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -300, -1029, -2456, -4815?\n\"Answer: -39*r**3 + 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 97 + 335. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 <= -2064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23109728491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:56 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + v**2 - 3*v - 13. Let b be c(0). Let t(f) = -f**3 - 13*f**2 - 4*f - 44. Let o be t(b). Solve -o = z + z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -6) + 1 + -12 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2322\/(-198))\/((-152)\/(-1672)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32735)\/(-20) + (-2)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 612b7 + 1c?\nAnswer: 612d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.15407 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -524316 divided by 6?\nAnswer: -87386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 2.5, -0.1 in increasing order.\nAnswer: -0.7, -0.1, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14862 - -14861.97. What is the fourth smallest value in r, -0.5, 6, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**5*v - 179*g**4*v + 5*g**3*q*v - g**2*q*v - 2*g**2*v - 2468436*q*v wrt g?\nAnswer: 120*g**2*v - 4296*g*v + 30*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 902 + -940 - (-32 - -17)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:43 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, -10, -62, 2.\nAnswer: -62, -10, 2, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*u - 180, 0 = -5*u - 3*l + 267 - 82. Suppose u = 5*w + 3*w. Let i be 58\/56 + (-3)\/4. Which is the nearest to 1? (a) i (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*(-5*sqrt(850)*2)\/(sqrt(72) - 5*((sqrt(72) - ((sqrt(72) - (sqrt(72) - 1*sqrt(72))) + sqrt(72) + sqrt(72))) + sqrt(72))) + 0))**2.\nAnswer: 265625\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 313*z - 359*z + 406*z + (4*z - 2*z - 3*z)*(1 - 1 + 2) - z + z + 3*z + z + 6*z - z to l + x*z and give x.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 31 + 25 + -55?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191 by -247.\nAnswer: -191\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -427, 1\/318, -1\/2?\nAnswer: 1\/318","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 9 + -5 + 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 493*f**3*q**3 - 274*f**3 + f*q**3 + 447364*q**3 wrt f.\nAnswer: 2958*f*q**3 - 1644*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 5. Let c(v) = -14 + 2 + 3*v + 3. Let n be (1 - 19)*3\/(-6). What is n*p(o) - 5*c(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80287680407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m - 62 = -18 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 p when two letters picked without replacement from ptiqmqq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*a + 11*a + 0*a)*(-2*a + 3*a + 0*a).\nAnswer: 66*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -69, -153, -281, -459?\n\"Answer: -l**3 - 13*l**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*-1660761.\nAnswer: -2325065.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120460 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 91. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2086394 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 28154 (base 9) to base 2\nAnswer: 100101010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 116*c - 672 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545 + 512 = -11*u. Which is the nearest to 0.1? (a) -0.32 (b) -3 (c) u (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g)\/(g**2*g)*g**(-2\/9)*g*g**(2\/5) assuming g is positive.\nAnswer: g**(188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 334*d + 331. Is v(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108731 is divided by 492?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402258648 is divided by 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*y + 784*y + 16*y**2 - 393*y.\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/958 and 68\/6021?\nAnswer: 5768118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -9*n**8\/56 - 5*n**4\/12 - 3*n. What is the third derivative of p(w) wrt w?\nAnswer: -1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7637 + 8016. Which is the nearest to 2? (a) k (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-105)\/10*2 - -1. Let g = 4 - p. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8797 - 486*c**2 + 538*c**2 + 8886 as i*c + n*c**2 + d and give n.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 102*s - 724. Let x be c(-8). Solve 11*l - x = -127 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*o**2 - 118*o - 15*o**2 + 38*o**2 + 119*o - 3 in the form d*o**2 + v*o + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*g - 18*g + 28*g)*(-2 + 2 - g**2) - g**3 + 5*g**3 - 2*g**3 + 2*g - 3*g**3 - 2*g.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 217*h**5\/15 + h**4\/24 + 265*h**3\/3 + 2*h**2 + 109. Differentiate j(a) with respect to a.\nAnswer: 1736*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 31\/(744\/2784) - 1*5.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4994897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.158849 + 0.15884772649. Round r to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 k when three letters picked without replacement from {c: 5, k: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -133 - 10 - (-138 + 170).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 487789 or 488049?\nAnswer: 487789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**3 + 3*v**2 - v - 1. Let z(m) be the first derivative of -m**4 - 2*m**3\/3 + m**2 + m - 2654. Give 2*a(x) + 3*z(x).\nAnswer: -2*x**3 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - y - 744487 = 199912, 236102 = u + 2*y. Round u to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20251 is divided by 1963.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = -3*v + f + 930, -4*f = 4*v - 1944. Calculate the remainder when v is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2 - k - 1. Let f be l(-2). Let a = f + 19. Suppose -120 = 4*d - a*d. What is the least common multiple of d and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 9*n + 4*d = -23138, -5*n - 3*d + 38515 = 0. Is 46 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let l(h) be the second derivative of -121*h**4\/4 - 583*h - 3. What is l(n(d))?\nAnswer: -363*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 21*i - 626. What is the greatest common factor of 448 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928648558.\nAnswer: 2, 211, 2200589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 + 5*c + 4. Let m be ((-2)\/(-4))\/(2\/(-16)). Let s be d(m). Let r be (-4)\/14 - s\/21. Solve h + 3 = g, r*h = -2*g - h - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 2 = -18*s. What is the remainder when 20 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-414)\/(-60) - ((-408)\/3060 + (-214)\/(-30)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/24432 and -137\/3054.\nAnswer: 24432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1111116792214 - -38\nAnswer: 1111116792252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1563 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, -2\/7, 0.05, -14, 0.3, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(-5*z**2 + z**2 + z**2)*(-7*z + 12 - 12).\nAnswer: 42*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/72)\/(1 - 3). Suppose -5*m + 12 = -2*w, 6 = -4*m + 5*w + 2. Suppose 15 = m*t + t. Put 0.1, u, t in descending order.\nAnswer: t, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224 (base 13) to base 5\nAnswer: -2433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/114 and 46\/461019.\nAnswer: 17518722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x + 7*x**2 - 9*x**2 + 4*x**2)*(4*x + 0*x - 5*x)*(-3*x + 2*x + 2*x).\nAnswer: -2*x**4 - 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**3 + 56*a**2 + 66*a + 62. Give g(20).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t = -18*t + 135. Suppose 5*q + 5*i + t = 6*q, 0 = q - i - 7. Suppose -h + 3 - 23 = 5*b, 2*b + 8 = q*h. Solve h = -f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(33)*1*-5)\/(sqrt(12)\/sqrt(4)*5 + (6*sqrt(12)\/sqrt(4) - sqrt(3))).\nAnswer: -3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*y - 15*y + 20*y)*(y**2 + 3*y**3 - y**2).\nAnswer: 102*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 23 = -40. Let k = 106\/5 + w. Which is the third smallest value? (a) 0.5 (b) -1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1976 and -47\/2300292.\nAnswer: 59807592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(320)*3 - sqrt(100)\/(sqrt(5) - sqrt(45)))\/(sqrt(40)\/sqrt(160) - (2*sqrt(484) + sqrt(484))).\nAnswer: 42*sqrt(5)\/131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p**2 - 44*p - 353. Let b(z) = -20*z**2 + 77*z + 706. Give 4*b(v) + 7*t(v).\nAnswer: -3*v**2 + 353","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-10))\/((-78)\/(-30) - 3). Are 2\/15 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1. Let d(s) = s - 27. Let l be d(45). Let j(v) = -v**2 - 7. Determine l*c(p) - 2*j(p).\nAnswer: 2*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 9:40 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-4.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 + 142. Suppose q*b**3 - 2*b - 8*b**3 + 8 - 12*b**2 + 14*b = 0. What is b?\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.106995 rounded to 4 dps?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, l: 12}. What is prob of sequence lll?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (-10 - (-3 + 48))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106034 to the power of 1\/2, to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 12) to base 16.\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 254972272 divided by -31\nAnswer: -8224912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041200 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16 = -4*o, o + 20 = -4*g + 6*o. Let p = -0.4 + -0.6. Let x = 24.128 - 23.828. Which is the nearest to p? (a) 0.1 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)\/(m*m\/m**16))\/((m\/((m*((m**(14\/3)*m*m)\/m*m)\/m)\/m*m))\/(m**(1\/3)*m)) assuming m is positive.\nAnswer: m**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/(-1))\/(-5 - -6). Which is the nearest to o? (a) -1\/3 (b) -0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1527339952 to the nearest integer?\nAnswer: 39081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(3 + 2*j - 3) + 3 - 3 + j + (-4*j + 5*j - 2*j)*(-1 - 4 + 4) - 2*j + 0*j + 4*j + 0*j - 2*j + 0*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 36. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -96, -235, -458, -783, -1228?\n\"Answer: -3*a**3 - 15*a**2 - 7*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0 + 0*u**4 + 0*u + 0*u**3 + 3*u**2 + 1\/840*u**6 + 0*u**5. Factor m(h).\nAnswer: h**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*(sqrt(77) + sqrt(77) + (sqrt(77)*1 - sqrt(77)) + sqrt(77)) - (sqrt(77) - -4*sqrt(77)*-2))\/(sqrt(112)*2*1).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90729209.\nAnswer: 79, 83, 101, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -45031 plus 1396055683?\nAnswer: 1396010652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 430 + -426. Sort 5, -1.3, z in descending order.\nAnswer: 5, z, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -7 - (1 - 5). Suppose l*s - 231 = 29. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:00 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95032\/47 - 2022. Put -1\/4, v, 2\/3, 3 in descending order.\nAnswer: 3, 2\/3, v, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 + 8800*p**4 + 123840*p**3 + 319680*p**2 - 1909440*p - 7651584 = 0. Calculate p.\nAnswer: -6, 4, 2214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 52645*i**2 + 157970*i - 105320.\nAnswer: -5*(i - 2)*(i - 1)*(i + 10532)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 - 1\/(-4)). Suppose -6 - 22 = -m*h. Let t be 3 + h\/(-2) - -2. What is the nearest to 0.1 in 2, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 5) in base 8?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.749.\nAnswer: 4.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 8*c - 15. Let y be f(-7). What is the tens digit of (593 - (4 + -9)) + y\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104610 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -772\/337? (a) 4 (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22543 (base 6) in base 15?\nAnswer: -e56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:36 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/((-87)\/(-133110)*-34)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20.26 (b) -1 (c) 1\/5 (d) -169 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1892 and 968?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*o*p**2*r**3 + 4*o*p**2 + 67*o*p*r**3 - 2*o*p*r**2 + 2*p**2 + 24*p*r wrt p?\nAnswer: -126*o*r**3 + 8*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 291, 1130, 2529, 4488, 7007, 10086?\n\"Answer: 280*i**2 - i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48968069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millisecond in microseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 33 - 11 + 14*j - 13.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.6 > 12779?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10392 is divided by 10356.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*g*m**3*r**2 - 8*g*m*r**2 - 72*g*r**3 - 1118*m**3*r**3 - m**2*r - 2*r**3 wrt m?\nAnswer: 138*g*r**2 - 6708*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -151*a + 6211. Determine d(33).\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(102) + sqrt(102))*3 + sqrt(102) + sqrt(102)*-3*-1)\/(-2*(sqrt(486) - 2*sqrt(486)*1)).\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24334 + -3?\nAnswer: 24331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zraa when four letters picked without replacement from xzarrggah.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -5, 4, 0.5, -15\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) -1 (b) -0.5 (c) 0.3 (d) 7 (e) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - m = -26. Find the third derivative of 13*x**2 - 3*x**2 - m*x**6 - x**2 - x**6 wrt x.\nAnswer: -1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*l, -2*l = 6*f - f. Let i be -6 + 8 + f + 0. Factor o - i*o - 9*o**2 - o - 7*o**3.\nAnswer: -o*(o + 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r + 8. Suppose 5*c + y - 21 = 0, -3*y - y + r = 0. Let w(k) be the second derivative of k**3\/6 + 2*k**2 - k. What is w(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(-3) - 4\/(-6). Solve w - 8*w - m = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -1\/12*x**3 + 0*x - 2 - 1\/8*x**2. Factor h(o).\nAnswer: -o*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379 - 747\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vgegeggbomeevo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -29*m**4\/2 - 2*m**3\/3 - 6*m**2 + 6. Let g be l(3). What is g rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 7*a + 10. Let g be (-102)\/7 + 7 + (-3)\/7. Determine i(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22 and 59\/353918?\nAnswer: 3893098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2200+0.4\nAnswer: -2199.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11530 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1353426 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 37. Let i be 0 - (-2)\/7 - (-4352)\/s. Calculate the greatest common factor of i and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**3\/3 + 3*s**2\/2 - 3*s - 7. Let r be f(-3). Solve -4*y - 14 + r = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.3 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - n**2 - n + 15. Let r = 4 + 1. Let a = -5 + r. Let c be b(a). What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -166022*j**3*t + 13*j**3 - 4*j**2 + 161*j + 2 wrt t?\nAnswer: -166022*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -16*d**2. Let p(f) = 2*f. Determine b(p(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32278 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 7*q**2 - 9*q - 4. Let w be (-8)\/(-28) + (-116)\/14. Let f be d(w). Put -2, f, -3 in descending order.\nAnswer: f, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 + 6*d**2 + 18*d + 10 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 18, d: 2}. Give prob of picking 3 w.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-49)\/(-6) - ((-20)\/24)\/(-5). What is the derivative of 41 + w - 1 + 9 + 63*g wrt g?\nAnswer: 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d + 77. Let r be a(-5). Suppose -6*o = -11 - r. Solve n + o = 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18)**(-2\/5) assuming r is positive.\nAnswer: r**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 8. Let q(k) = -8. Let m(g) = -2*d(g) + 2*q(g). Let r(v) = 257*v. What is r(m(w))?\nAnswer: 514*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507 or 508?\nAnswer: 507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from akslskslrs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*z - 14, 2*d + 2*z - 1 = 1. Let k be (-3)\/(-2 - (-116)\/64). Suppose -3*i + 0*l + 7 = 2*l, 4*i - 4*l = k. Solve 0 = i*b - b - d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*z**2\/4 + 2123355*z\/4 - 14347.\nAnswer: (z + 57388)*(37*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-5))\/((18\/24)\/((-465)\/3224)). Which is the third smallest value? (a) 2 (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000057423 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -6 + (-1 - -6). Suppose -5*j + 2 = 2*q, 5*q - 3 = 2*j + f. Solve 5*m + 16 + 4 = j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1871*u + 2 - 1869*u.\nAnswer: 2*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2*1 + (1 - 2)). Let h(i) = i + 3*i**2 + 2*i**2 + 2 - 3. Let t(v) = -4*v**2 - v. Give d*h(k) - 3*t(k).\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*((-1 + sqrt(1377) - sqrt(1377)) + -5 - sqrt(1377) - (sqrt(1377) - 3*(sqrt(1377) + 0))) + -3)*5.\nAnswer: -45*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67644 or -67643?\nAnswer: -67643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:54 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d + 150. Suppose -3*m + m = -d. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 143254?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/216 and -137\/180.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + j)*(220 + 822 + 121 + 340).\nAnswer: 1503*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 37945*r**2 + 8*r - 4. Is d(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9*((-9)\/(-21))\/((-63)\/(-245))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 - -172.7. Sort u, -0.1, -4, 5.\nAnswer: -4, -0.1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084152723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138 or -191?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23474652?\nAnswer: 2, 3, 19, 149, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 10\/6)*(-80)\/(-150). Suppose s*r + 8\/9 + 2\/9*r**2 = 0. Calculate r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 80093, 2\/5 in decreasing order.\nAnswer: 80093, 2\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 700693290 a multiple of 1270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 137137 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-12*g - 68 + 68)*(3*g - 40 + 40) in the form i*g**2 + y*g + h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88838 is divided by 29593?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {b: 2, a: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/20 - z**4\/6 + z**3\/3 - 3*z**2\/2 - 37*z. Let o be h(0). Which is the closest to -4? (a) -2\/3 (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + 451\/(-55))*(-10)\/7. Which is the closest to -3\/2? (a) -2\/3 (b) 4 (c) -2\/9 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219843379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 4*r + 3. Let a be g(5). Let y = -21 - -22. Put a, -1, -3, y in ascending order.\nAnswer: -3, a, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/((-3)\/45). Let m be 14\/35*35\/56. Let n = 4 - 4.2. Which is the biggest value? (a) m (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1537672, 1537695, 1537734, 1537789, 1537860?\nAnswer: 1537947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1617 - 3c8b?\nAnswer: -54a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31659, -63384, -95183, -127056?\n\"Answer: -37*s**2 - 31614*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6353*w + 1602*w**2 + 2207*w**2 + 6457*w**2 - 1557*w wrt w?\nAnswer: 20532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 2*t - 20. Solve -3*a + k - t + 0 = 0, k + 8 = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -21*q**5\/50 + q**4\/15 + 43*q. Factor b(a).\nAnswer: -2*a**2*(21*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4573 (base 11) in base 10?\nAnswer: 6009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let l(k) = 4*k**2 + 8*k - 17. Let z(t) = -3*t**2 - 9*t + 17. Let b(y) = 2*l(y) + 3*z(y). Let w be b(-12). Solve -a + j - w = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-9 + -10 + 29 - (-1 - 15)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + 10 + -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60903 is divided by 4684.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 0 + 19*h - 10*h**2 + 2*h**2 - 9*h - 8. Give j(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1121 + 2403. Let w = q + -563. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 614, 632, 668, 728, 818, 944, 1112?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282577 is divided by 714?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - o - 2*o + 4*o)*(321713 - 160857 - 160856 - 636*o).\nAnswer: -636*o**2 + 1272*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 12 = -c, -2*c + 8*p + 11 = 3*p. Let r(s) = -11*s - 5. Let m = 3 - -1. Let d(o) = -6*o - 3. What is c*d(x) + m*r(x)?\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 39, 71, 117, 183, 275?\n\"Answer: v**3 - 2*v**2 + 23*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 897, 899, 905, 915, 929, 947?\n\"Answer: 2*p**2 - 4*p + 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -2\/761?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -420*x**3 - 135*x**2 + 1055*x - 290. Let b(k) = -35*k**3 - 11*k**2 + 88*k - 24. Let c(p) = 35*b(p) - 3*j(p). Let c(g) = 0. Calculate g.\nAnswer: -2, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30368 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 11:22 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(48)*2.\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2662348?\nAnswer: 2, 13, 51199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34 and 6.6?\nAnswer: -224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -147 + 1542. Let b be m\/(-9)*(1 + (-142)\/(-5)). Let w = b + 8848. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5*a - 3. Let d(t) = -9*t + 7. Let s(z) = -2*d(z) - 5*m(z). Let j be s(-1). Let v = 16 - j. What is the highest common factor of 12 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f**3 + 6*f**3 + 4*f**3 + 6*f**3 - 4*f**4 + 4*f**5 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2289 - 56272.3901.\nAnswer: -53983.3901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 748773 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 409\/9 in -32, -1\/5, 4\/5, 3\/8, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 8\/3*c - 1\/18*c**4 - 8\/9*c**3 + 1\/9*c**2 - 87. Find o, given that b(o) = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcihncninwcnnnhzi. What is prob of picking 1 w, 1 z, and 1 n?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 - 2)*(-4*i + 3*i + 0*i) + 8*i - 28*i - 28*i to the form n*i + l and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24040\/39 + 48197\/78. Factor k*g**2 - 12 - 11*g + 1\/2*g**3.\nAnswer: (g - 4)*(g + 1)*(g + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*t - 623 = 745. Calculate the lowest common multiple of 1857 and t.\nAnswer: 14856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/35)\/((-9)\/7). Which is the nearest to 0? (a) -1\/3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehepmmyehmm. What is prob of picking 1 h and 1 y?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7559 divided by 1.\nAnswer: 7559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwt when three letters picked without replacement from dgqggtqgddwdwq.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -16. Let m(r) = -2*r**2 + 2*r - 8. Let q be 3*(-4)\/12 - 1. Let t(o) = o**2 - o + 7. Let v(w) = q*m(w) - 3*t(w). Calculate v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/7187 + 740237\/86244. What is the common denominator of ((-5)\/(225\/(-246)))\/(32\/(-36)) and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 21, 18 in decreasing order.\nAnswer: 21, 18, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5)\/g)\/g**2*(g*g**(1\/4)*g)**(-14\/3))\/((g**0\/g)\/(g\/(g*((g*g**(-1)\/g)\/g)\/g))*(g**0)**(-20)) assuming g is positive.\nAnswer: g**(-99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/348572 and 87\/1742860.\nAnswer: 1742860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 10*z**2 + z - 2. Let i be r(10). Suppose -4*j - i = 3*o, 0*o - j - 2 = 5*o. Which is smaller: o or -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n + 13. Let r be o(10). Suppose 5*h - 2*k - 39 = 17, -r*k = -6. What is the least common multiple of h and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/27 - 137\/675. Suppose 5*a + 4 = 7*g - 4*g, 4*a - 3*g + 2 = 0. Let w(m) = -m**3 - 4*m**2 - 6*m - 3. Let s be w(a). Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6881 + -2767. List the prime factors of j.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -4, 3, -3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l**2 - l - 5. Let h(d) be the first derivative of -10 + 1\/2*d**2 + 1\/3*d**3 + d. Let b = 0 - -1. Determine b*g(k) + 4*h(k).\nAnswer: -k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 635 + -630. Solve -v*d + 16 = -9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Let b be (-1*(-1 + 2))\/t. Calculate the remainder when 17 is divided by ((-27)\/(3*-1))\/b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxaxaaxxx. What is prob of picking 2 x and 2 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 57*b + 2529 - 54*b + 2529 - 5059. Let i(c) be the first derivative of 2*c**3\/3 - 1. Determine i(q(r)).\nAnswer: 18*r**2 - 12*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 43014 = 8*c - 6*c, -3*b = -9. Does 90 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -307372, -307236, -307100, -306964, -306828, -306692?\n\"Answer: 136*v - 307508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4944, -4676, -4408, -4140, -3872, -3604?\nAnswer: -3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1520 and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2 - 8. Let s be y(0). Suppose 21*r = r - 40. Let g = r - s. What is the lowest common multiple of 5 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {e: 4, l: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9. Let o(r) = r**3 + 9. Let h = -194 - -189. Let w = 7 + -3. Let a(g) = h*m(g) + w*o(g). Find the first derivative of a(v) wrt v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**4 + 0*o**2 + 0*o - 7*o + 9*o + 2 - o**2 as v*o**4 + c*o**2 + b*o**3 + p + x*o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 140, 316, 566, 890, 1288, 1760?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 - 0.17. Which is the nearest to i? (a) 1\/8 (b) 1\/19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70228959 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 15*i - 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.096 - 0.596. Is v bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48567067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4 - 53251*i**3 = 0. Calculate i.\nAnswer: 0, 53251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -72*f + 5. Is t(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -576, -1061, -1556, -2067, -2600?\n\"Answer: -x**3 + x**2 - 481*x - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2567371 rounded to three dps?\nAnswer: 36.257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13011, -104846, -354133, -839598, -1639967, -2833966?\nAnswer: -4500321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by -5\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1848*d - 9235. Determine b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, q: 1, o: 8}. Give prob of picking 4 o.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 889319 and -5.\nAnswer: -4446595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 464123?\nAnswer: -2\/464123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 6*x**2 - 6*x + 6. Let v(w) be the second derivative of -w**5\/5 - 7*w**4\/12 - 7*w**3\/6 + 7*w**2\/2 - 4*w. Calculate 6*v(p) - 7*y(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**3 - 41*z + 5. Let l(c) = -2*c**3 - 10*c + 1. Give 2*a(h) - 9*l(h).\nAnswer: 2*h**3 + 8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 467194073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 2*f**2 + 2*f**2)*(26*f - 237*f - 206*f).\nAnswer: 417*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 7, -5 in decreasing order.\nAnswer: 7, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13023.6 months in decades?\nAnswer: 108.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27348 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((266\/14)\/(-228))\/((-6)\/(-48)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*j + 41339 = -35021 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 22*r - 11, 4*r = -2*t + 805 - 791 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75b4 + -7a70?\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:37 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.986 to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 - 2*o - 4. Let i be h(-7). Let w = 10 - i. Let d(c) = -c**2 + 9*c + 2. Let t be d(9). Solve -t*k - 2 = -w*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34\/5 + 7. Let w = -25 - -23. What is the closest to -2\/7 in w, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 147, 318, 515, 738, 987?\n\"Answer: 13*d**2 + 132*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 0, -19 in ascending order.\nAnswer: -19, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94030.73 decades to millennia.\nAnswer: 940.3073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 1919.\nAnswer: 1920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-14) - (-920)\/14 is divided by 344\/14 + ((-627)\/418)\/((-14)\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13.5, -89, 2\/119?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**5\/13 + 8*i**4\/13 + 4*i**3\/13 - 8*i**2\/13 - 6*i\/13 = 0. Calculate i.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.92845 * -0.13\nAnswer: 0.5106985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -8 - (-23 + 7) - 28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, n: 1, r: 1, q: 1, d: 1}. What is prob of sequence nri?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 75569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -21380527\/3 less than -7126842?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9*w - 8*w - 713 = 0, -4*m + 3*w = -725. Is m a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927*b + 28011 = 9471 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004744 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3391640 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 f when four letters picked without replacement from {g: 4, f: 1, a: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 - 3) - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + b**3 + b**3 - 1098*b + 1098*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 138.79. Let h = -0.21 + l. Which is the third biggest value? (a) -0.3 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1834493 + -96785\nAnswer: 1737708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 2160*t.\nAnswer: -4*t*(t - 540)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24597 = -51*v + 627. Which is the nearest to 0.1? (a) 1\/11 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -115493, -115496, -115483, -115454, -115409, -115348?\n\"Answer: 8*m**2 - 27*m - 115474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 1. Suppose 5*l + 0*c + 17 = -c, 3*l + 4*c = 0. Let b be u(l). Let q(s) = -4*s + 6*s**2 - 2*s**2 - 25482 - 3*s + 25488 - 3*s**2. Determine q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7*(-1)\/2*18. Let u be 29*(y\/(-372))\/3. Let c = u - 12\/31. Is 1 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -1\/4, -36, 1.4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 1. Let o be d(1). Suppose 0 = -5*x + 4*x. Suppose x = -o*g + g - 11. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**4 - h**2*v - 4*h**2 - 4*h + 5046*v with respect to h.\nAnswer: 8*h**3 - 2*h*v - 8*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**7\/1260 - r**4\/3 - 2*r. Let c(o) be the third derivative of m(o). Let q(k) = -k + 2*k - 5*k + 3*k. Give c(q(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n**2 - 4*n + 6. Let o be b(3). Let k = 72 - o. Suppose -1 = 5*i - k*i. What is the highest common divisor of 7 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2. Let v(h) = 24*h**2 + 42*h. Let u(n) be the second derivative of n**4\/4 + 5*n**3\/6 + 154*n. Let g(z) = -42*u(z) + 5*v(z). Give g(j(t)).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 624607 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586072 is divided by 4685.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {l: 4, w: 5, t: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 890, 923, 956, 989, 1022, 1055?\n\"Answer: 33*j + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40122 by 13374.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(4\/(-1)) - (-333)\/(-2664)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 403 and 19656?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((1 - -10) + (-9 - -5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6765774404 rounded to three dps?\nAnswer: -0.677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + (7 - 7))*(-1)\/2. Suppose -2*s - 5*o + r*o + 157 = 0, -3*o = -s + 56. What is the remainder when s is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1)*-1*5805\/(-9). Suppose -n + r = -q - 3*q, 3*n - 3*q - 1926 = 0. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118788296 to the nearest one million.\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*i = -21, t - 38 = 4*i - 33 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 6*a - 8. Let j be c(-10). Let o = j - 5. Find the third derivative of 29*x**4 - o*x**4 - 2*x**2 + 16*x**2 wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10708 is divided by 1186.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239815695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/59 or -45261.9?\nAnswer: -45261.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140503 - 125887 = -696*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -12*f**2 + 15*f - 10. Let c(r) = -37*r**2 + 42*r - 28. Let x(j) = -5*c(j) + 14*s(j). Let u(a) = 8*a + 6*a**2 - a - 7*a. What is u(x(o))?\nAnswer: 1734*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + m + 60 = 0. Let h be m\/9*(3 + 0). Let t(b) = 4*b**2 + 5*b - 3. Let u(q) = 11*q**2 + 15*q - 9. Let x(s) = 8*t(s) - 3*u(s). Give x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -46529?\nAnswer: 3\/46529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611514693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-7)*(-10)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110275*y**2 - 236299*y?\nAnswer: -220550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (729*v - 729*v + 17*v**3)*(-6 + 4 - 1)*(2*v + 4*v - v).\nAnswer: -255*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 950563560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.1556 rounded to the nearest integer?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/16960 and 27\/718496?\nAnswer: 380802880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (44 - 32) + -1 + (3 - 1) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -11. Suppose -2 = 5*z - 3*h, 4*h + k*h - 16 = 0. Does 2 divide (6\/(-9))\/(z\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2854623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from vmvmmvvmmv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 246*k**3 + 2*k**2 - 26*k - 100770.\nAnswer: 738*k**2 + 4*k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 139475 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-4)\/(-18)). Let y = 3 - c. Solve y = -5*f + 2*f - 2*t + 11, -10 = -2*f - 4*t for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -244 - -2198\/9. Let z = -3.02 - -0.02. What is the smallest value in n, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18821996 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*x - 23*x + 5*i + 29, 5*x - 260 = 2*i. What is the smallest common multiple of 1377 and x?\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3904 and 611464?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t = 5*v - 45*t - 1878, -2*t = -v + 390. What is the highest common divisor of v and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 15. Determine o(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -48, -65, -78, -87?\n\"Answer: 2*a**2 - 27*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -3, 1, 375, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) 5 (b) 0.6 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 313337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1024 and 48.\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -7*j**4\/12 + 46*j**3\/3 + 242*j**2 - 7*j. Let t(z) = -3*z. Give t(u(s)).\nAnswer: 42*s - 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124684793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 3, 6*h + 4*n - 458 = -462 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.096 or 98?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 719761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 366925\/22 + -16682. Calculate the common denominator of r and -109\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 0.7, -504, 42.\nAnswer: -504, 0, 0.7, 8, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88 - -14. Let y(q) = -29*q**2 - 221*q + 115. Calculate the remainder when k is divided by y(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4*m = 100, 2*g + 13 = -3*m + 30. Calculate the remainder when 60 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, s: 4}. What is prob of sequence gggg?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 50190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 5*q**4\/8 - 14*q**3\/3 - q**2\/2 + 20. Let g(f) be the second derivative of n(f). Differentiate g(u) with respect to u.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 1\/2*l**2 + 35\/2 - 6*l = 0.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/6 - ((-48126)\/36)\/(-13). Let d be -1 + (150 - (-1 + -1)). Let i = n + d. Is 28 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(363)*2 - sqrt(363))*3*5 + 5*-6*(sqrt(363) + 1) + -5 + 0)**2.\nAnswer: 10230*sqrt(3) + 82636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 - 1. What is a(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394211568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8469334 (base 10) to base 11\nAnswer: 4865155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72731026 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1797 + -14375\/8. Calculate the common denominator of h and -49\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/(-4)*((-885)\/(-6490))\/((-2)\/52)?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 25*d + 10. Suppose -4*u = -2*r - 154, -4*r - 229 = -r - 4*u. Let l = -54 - r. What is the remainder when m(-8) is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3, 0.1, 432, 4, -1\/2, 0.01 in ascending order.\nAnswer: -1\/2, 0.01, 0.1, 3, 4, 8, 432","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18706775*u**5 - 20243*u + 39 wrt u.\nAnswer: -374135500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/2 - 10*j**3\/3 + 3*j**2\/2 + 25*j + 51. Let g be q(6). What is the greatest common divisor of 92 and g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 572, 866, 1174, 1502, 1856?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5267481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1566 is divided by 315.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d. Suppose 2*z + 0 - 8 = d. List the prime factors of 16\/z*(-28)\/(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 25*n - 26*n - n**2 as v + g*n + k*n**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006128332287 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 221 - 92. Does 23 divide z\/(-2)*14\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i - 30. Let u = -24 - -26. Calculate the remainder when n(-9) is divided by (9\/u)\/((-7)\/(-42)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -5\/6 (b) -2\/7 (c) 0.1 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3007.92 take away 24361?\nAnswer: -21353.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 480 + 168. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626824 (base 10) in base 5?\nAnswer: 404024244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -36*n + 38*n - 3*m, -5*m = -3*n + 58 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x - 4. Let m(i) = 6*i + 5. Let u(s) = -s**3 - 14*s**2 - 22*s + 27. Let l be u(-12). Calculate l*m(a) + 4*d(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2. Suppose 13 = u + 2*a + 1, u - 27 = -5*a. Let n(b) = 5*b**u + 0*b**2 + 921 - 929 - 2*b**2. Give f(n(t)).\nAnswer: -18*t**4 + 96*t**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 29*j**3 + j - 43*j**3 - 6*j**2 as f*j + y + c*j**2 + s*j**3 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 14872?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + 25 = 89 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61 + -27. Suppose -23*l + 149 = c. Solve 3 = 4*z - 3*x, l*z + 11 = -2*x - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*m - 20, 3*m - 4*m - j + 13 = 0. Suppose 3*w + 4 = 4*w + 4*i, 3*w = 5*i - 5. Solve 7*x - 4*x + m = w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/12 - (-1)\/3. Let b = 27 - 24. What is the third biggest value in -4\/7, b, y?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4938, -4934, -4930, -4926, -4922, -4918?\n\"Answer: 4*y - 4942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120 * -0.2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4536 and -85\/465588?\nAnswer: 6518232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 54886110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.57566 times 0.2\nAnswer: -0.115132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 22 = -5*t + 12, 3*t = 4*l + 3. Solve -t*g = 4*i + 1 + 11, 5*g + 9 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p + 16. Let w be y(3). Let u(n) = -4*n - 27. Let m be u(w). Let a(g) = 100*g**2 + g + 10. Is a(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 6*o + 43. Let t be j(10). Let w be t\/6*(6 - 2)*-2. Let a(y) = y + 1. Let s(b) = -1. Calculate w*s(x) - a(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -20*(-5)\/10. Solve -2*o + 3*c - 15 = 0, -3 = 3*o - 4*c + v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 0 + 3 + -7 + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 4*h**2 + 9*h - 55. Calculate s(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 14*d + 5 + 0 + 13.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20961 and 1287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4415 and -4.2.\nAnswer: -4419.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153188905.\nAnswer: 5, 173, 409, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 25*d + 72 = 0. Let q = d + -14. Suppose q*j - 1 - 79 = 0. Calculate the highest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -5136.393.\nAnswer: -5136.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41525.16um in meters?\nAnswer: 0.04152516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -44959*w**3 - 8*w**2 + 20*w - 25. Let l be r(5). What is l rounded to the nearest one hundred thousand?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10513278 by 1.\nAnswer: 10513278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 28 - 24. Suppose 0 = 4*x - y*x - 1856. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 2. Let i be (6 - (-4 + 9 + 0)) + 2. Let m(j) = -4*j + 1. Let p(x) = i*m(x) + 2*f(x). Determine p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123121 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27\/167 + 31649\/501. Suppose 10 = -5*o, -5*q + 2*o - 60 = -6*q. Let n = b - q. Sort 5, n, 0.1 in decreasing order.\nAnswer: 5, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -25. Solve p + 3*p = u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3118 - 1562 - 1556 + 9*n**3 - 5*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(1\/27)\/(o**1\/o*o*o\/(o*o\/(o\/(o\/o**5))*o)*o)*((((o*o*o**(-3\/2)*o)\/o)\/o)\/o**(3\/2))**(1\/5) assuming o is positive.\nAnswer: o**(-724\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4846, -2928, -1010, 908, 2826?\n\"Answer: 1918*f - 6764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73542 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjgjwf. Give prob of picking 3 w and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5951744 rounded to the nearest 10000?\nAnswer: -5950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9908851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/120 - 77*f**3\/3 + 36*f - 1. Let z(a) be the second derivative of o(a). Let t(y) = -7*y**2 + 3. Calculate z(t(b)).\nAnswer: 7*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: a17 (base 11) to base 9\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -24067455 and -24067455 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 674.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 62*w**3 - w - 1. What is a(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(-1\/2)*j)*j)\/j)\/j)\/j*j**(-2)*j)\/(j\/(j*j\/(j*j\/(j*(j*j**(-1\/6))\/j))*j)*j\/(j*j**4)) assuming j is positive.\nAnswer: j**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.08 (c) -4 (d) -0.02 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 37*k**2 - 171*k - 64. What is the remainder when y(-41) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 13 = -2. Let j = 0 + a. Let w(m) = -m**3 - 6*m**2 - 6*m - 1. What is w(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/15 - 5*c**4\/24 - 2*c**2. Let m = 567 - 562. Let p(b) = b**3 - b. What is m*p(n) - h(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21093 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r + 4*r**2 - r**2 - 10*r to n*r**2 + k*r + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4428.1, 1, -1\/18, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.7 at most 278\/2657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*d, 5*w - 6*d = -2*d + 28. Suppose 3*l**3 + l**3 + l**2 + 4*l**4 - 5*l**2 - w*l**5 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17521.59 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17779308 divided by 4444827?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2\/109 (b) -2 (c) 39\/5 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011110011001000 (base 2) to base 7.\nAnswer: -1542365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**0*y**(-2\/33) assuming y is positive.\nAnswer: y**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -15*k**3 + 2*k - 7. Let z(b) = -7*b**3 + b - 3. Let q(t) = 2*h(t) - 5*z(t). Let a be 7\/(-5) + (-1440)\/(-600). What is q(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*x**3 + 34*x**3 - 173*x**3 + 67*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*t + 25 = 2*o, 4*o = 3*t + 17. Solve -o*p = -p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.1, -0.2, 42, -2, 0, 26, 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in 4, 1, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*(sqrt(513)\/sqrt(9))\/sqrt(3))*5.\nAnswer: -10*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 13. Suppose 4*n + 140 = 14*n. Is k bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14149591.8 rounded to the nearest one hundred thousand?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*u - a = 149, -4*u + 561 = 3*a. Let j = u + -92. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*g + 40*g - 2380. Do 475 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*h + h = -1, 5*s + 544 = -h + 555 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1 - 92*j + 98*j + 12. Let a(r) = -r**2 + 6*r + 3. Let f be a(6). Let p be 2\/(-6) - (-25)\/f. Let x(u) = 2*u + 4. Calculate p*x(y) - 3*c(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -121. Let g = c + 100. Let -73*m**3 + 10*m - 5*m**2 - g*m**3 + 138*m**3 = 0. Calculate m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/4)\/(-2)*-1. Solve -2*k + r = 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/11742633 and 52\/18452709.\nAnswer: 129168963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.5 - 6. Let n = j + -1.5. Let i = 10 - 6. What is the nearest to n in i, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010 (base 3) to base 4.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20327.68 decades in centuries?\nAnswer: 2032.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-665)\/532)\/(3\/(-4)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, -5, 541, 0.1, -133, 5, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41300 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.44*-2.\nAnswer: -4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -387\/521 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52311 and 107961?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1814779, 3629562, 5444345?\n\"Answer: 1814783*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 7*g + 25. Sort g, 0, -3 in descending order.\nAnswer: g, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -18.06.\nAnswer: -19.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 1 = -19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1)\/((-10269)\/(-326))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -1831?\nAnswer: -1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -f**5\/12 + 5*f**4\/8 + 10*f**3\/3 - 14*f**2 + 49*f. Let m(i) be the first derivative of o(i). Find t such that m(t) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 27*f**2 - 183*f - 43. Let b be y(-15). Solve -5*s = -j + 22, -b*j - 3*s = s + 26 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 23*k**3\/3 + 188*k. Calculate i(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 83415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -427458 (b) -2 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*x + 5, -3*x - 5 = 4*u + 2*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from wzozfzzffmzwfwf.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -33. Let a(b) = n + 0 - 7 + 2 + b. Calculate the remainder when a(7) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -6*(-7)\/84)*((-952)\/(-1302))\/(-17)?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + 0*v)*(-v**3 + v**3 - v**3)*(-8 - 2 + 3)*(-v + 3*v + 4*v).\nAnswer: 42*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 2.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.057 - -0.243. What is the closest to 1 in -11\/3, -0.3, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1727 + -1730.269. Let w = d + 0.269. What is the nearest to 32 in 0, w, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10793721.\nAnswer: 3, 3597907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(72) + (-2*(sqrt(72) + sqrt(72) + 0 + sqrt(72)) - sqrt(72) - sqrt(72))**2.\nAnswer: 72*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -40 + -6428?\nAnswer: -6468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 152*a**3 - a + 5. Suppose l = 5*l - 20. Let t be b(l). What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2*301\/14 - -1. Let i = 40 + v. Is i at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193188, 193162, 193126, 193086, 193048, 193018, 193002, 193006?\n\"Answer: o**3 - 11*o**2 + 193198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48617968548.000000681 - -48617969145. Let b = -597 + q. What is b rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1743, 1741, 1739?\n\"Answer: -2*f + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 86, 170, 288, 440, 626?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**7\/42 + y**5\/4 + 173*y**4\/12 - 791*y**3\/6 + 9*y - 73. What is the second derivative of v(w) wrt w?\nAnswer: -20*w**3 + 30*w + 346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose 4*f - 3*i - 49 = 0, -y*f + 3*i + 53 = 2*i. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**6\/2160 + a**5\/80 + a**4\/18 - 4*a**3\/3 + 21*a. Let z(i) be the second derivative of t(i). Solve z(x) = 0 for x.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-520*g + 1155 - 1155)*(-5 + 4 + 2) - 3 + 3 + 3*g - 3.\nAnswer: -517*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -114100?\nAnswer: -114100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {h: 1, b: 1, p: 2, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 - 14 - -37*1. Let z be (2\/(-4))\/((4\/x)\/1). What is the closest to 2\/15 in 0.4, z, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35643 and 120.09?\nAnswer: 4280367.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)*((w*w**7*w*w)\/w)\/w)\/(w\/w**2*w**(-1\/9)\/w) assuming w is positive.\nAnswer: w**(437\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*q**3 - 120 + 124*q**3 - 158.\nAnswer: -25*q**3 - 278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -586, 15, 0.2, 1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20569 and 921.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -46*x + 280. Suppose 100 = 30*n - x*n. Calculate the remainder when 21 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/415 less than 110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (6033*q**3 + 24*q**3 - 304*q + 148*q + 156*q)*(3*q - 3*q + q) in the form n*q**4 + p*q + h*q**2 + a*q**3 + m and give n.\nAnswer: 6057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 456?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 2\/9, 2, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -197, 2 in ascending order.\nAnswer: -197, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-1)\/(-7) - 116\/28). Let c be 0 - -3 - (z + 90*-2). What is the greatest common divisor of 138 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**4 + 73*l**4 + 73*l**4 + (0*l**2 - 5*l**2 + 2*l**2)*(3*l - 3*l + l**2) + 583 - 13*l**4 - 583 to u*l + w + n*l**3 + f*l**2 + x*l**4 and give x.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + n + 3*n**3 + 8*n**3 - 9*n**3 as k + p*n**2 + j*n**3 + c*n and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 50. Suppose a - i + 7 = 0. Suppose a*d = -10 + 73. Calculate the remainder when d is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 6, j: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38514.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*q + 1)*((4*q**3 + 2*q**3 - 4*q**3)*(0 + 3 - 1) + (-4*q + 2*q + q)*(5*q**2 - 4*q**2 - 3*q**2) - 37*q**3 + 13*q**3 - 32*q**3).\nAnswer: 150*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000049277 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 199.86292?\nAnswer: -59.958876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let u be 2*(y + -2 - 0). Let k be (2\/(-4))\/(5\/(-10)). Sort u, k, 2 in decreasing order.\nAnswer: 2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-3)*12\/(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -43617 in increasing order.\nAnswer: -43617, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 6*t + 24. Let o be f(4). What is the first derivative of -18*i**2 + 1 - 24 - o*i**2 - 15*i**2 wrt i?\nAnswer: -98*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1300 (c) -0.2 (d) 4 (e) -2\/69 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*b + 19282, -15407 = -4*r - 4*b + b. Let t = r + 3046. What is t rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q*v - 18013999*q + 1237758*v with respect to v.\nAnswer: q + 1237758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -270101*s**4 + 269869*s**4 + 5*s**3 - 1623*s + 0*s**3 wrt s.\nAnswer: -2784*s**2 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x - 44*x - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131566604 + 11?\nAnswer: -131566563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 + 41. Calculate the greatest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-9))\/(3 + 67605\/(-22536)).\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.1, 0.07, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0141+1929411487\nAnswer: 1929411486.9859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 927*m - 925*m - 9806. What are the prime factors of m?\nAnswer: 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -753, -1\/15, -2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -2\/7, 3, -103 in descending order.\nAnswer: 3, -2\/7, -5, -6, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74608 by -16.\nAnswer: -4663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1600 and 1034720?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(891) + -3*(1*sqrt(891) - sqrt(891)) - 1*sqrt(891)*-5) + 4))**2.\nAnswer: 6912*sqrt(11) + 513472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (66\/4)\/((-4)\/8). Let c be (-3)\/2 + u\/(-6). Solve -c*y + 3 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 1*(-2)\/(-2). Suppose 64 = n + t*n. Calculate the remainder when n is divided by 1\/((-3)\/(-15)) - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**5*c*c**4 assuming c is positive.\nAnswer: c**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/(-33))\/(120\/1770) and (-6)\/(-33) - (-1242)\/(-176)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/2)*h**(-10))\/(h\/(((h*h**(-3))\/h)\/h)*h**(-1\/5)*h) assuming h is positive.\nAnswer: h**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d + 47. Let k be a(13). Let p(i) = -9*i**3 - 5*i**2 - 5*i. Let g = -6 + 5. Let t(y) = y**3 + y**2 + y. Determine g*p(w) + k*t(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + 30\/9. Put 4, m, 0 in ascending order.\nAnswer: 0, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 188\/12 - (3 - (-28)\/(-12)). Suppose 4*k + m - s = 0, 3*k - 30 = -k + 2*m. Suppose 3 = -3*g - 4*t - 3, -5*t - k = 5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x + 194. Let o be f(26). Is o less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/9, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 2, q: 1, o: 1, n: 1, c: 1}. Give prob of picking 1 s and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6 and -62\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2396 + 2218 - 831 = -291*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c + 5*c**4 - 3*c**4 + 7*c + (-695 - 748*c**4 + 695)*(7 - 3 - 2) to the form x*c**4 + s*c**3 + u + g*c**2 + n*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4218389*a*i**2*m + 31*a*i**2 - 76*a*m + 76*a + 69*m - 6 wrt i.\nAnswer: 8436778*a*i*m + 62*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*q - 200*q = -45 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1)*-3 - (3 + 0 + sqrt(176)))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 1461*y - 45317. What is g(31)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2, -2\/15, -61\/4 in increasing order.\nAnswer: -61\/4, -2\/15, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.06, -16.7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 163*u**2 + 11*u + 129. Is a(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 4*f**2 + 14*f + 21. Give u(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 5*i**4\/4 + 2*i**3\/3 - i + 124. Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 1361.\nAnswer: 9\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0 = -2. Let q be 8 - 17\/((-6732)\/(-3160)) - (-2 + 2). Do t and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1216*u + 373*u + 479*u.\nAnswer: -364*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 16 = 0. Let a = -10 - 10. Let u(n) = -4*n - 77. Let y be u(a). Solve -i = -4*s + 4*r, y*r + 5 = s - 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n + 0*n - 6*n + (-5*n + 4*n + 3*n)*(-3 - 1 + 1) + 8 - 11*n - 8.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -469 and -5.\nAnswer: 2345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111112 + -222001100011?\nAnswer: -222001211200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58758*x - 59180*x - 34*x**2 + 117938*x.\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*x = -75*x + 112. Sort -4, x, -0.3, -1 in descending order.\nAnswer: -0.3, -1, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 - -12394974089.\nAnswer: 12394974089.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 548 and 153241487?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544490020?\nAnswer: 2, 5, 751, 36251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 89997.34 rounded to the nearest 100?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -23 - -19 - 10\/(-1)*1 and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 350040*l**3 - 30591368848*l**2 + 7111334231040*l - 412730754482176.\nAnswer: -(l - 116)**2*(l + 175136)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040*k = -3*x - 1044*k - 90, 5*k = -4*x - 112 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 64, 127, 190, 253?\n\"Answer: 63*a - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 12*j + 1973. Is f(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 + 1.6. Let n be 5\/(35\/2)*-1. Which is the second smallest value? (a) 1 (b) n (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32490 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 - 2266*p**3 - 48608*p wrt p?\nAnswer: 20*p**3 - 13596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 905939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 7 - 2, -2*j = -2*k + 44. Calculate the remainder when k is divided by 52\/6 + (-4)\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1020031201?\nAnswer: 1020031210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(833) - (sqrt(833) - sqrt(833)*3)).\nAnswer: -84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -2 (b) 111\/4 (c) 46 (d) -2\/9 (e) 2\/5 (f) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3150*c - 46186 = -150136 for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ba - -25b?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3313 + 4?\nAnswer: -3308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6984184 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by 2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 24 = -2*s + 3*k, -4*k + 36 = 3*s. Suppose 5*v = 8*v + 9. Calculate the common denominator of -27\/8 and 387\/s*v\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119875821 to the power of 1\/2, to the nearest integer?\nAnswer: 10949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + s**2 + s - 2. Let n be o(0). Let p be 1 + (-3)\/(-2)*n. Is p < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let w(b) be the third derivative of -5*b**5\/12 - 634*b**2. Determine w(m(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 43930 divided by -191\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29258 by 7.\nAnswer: 29258\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 3*y - 15, p - 6 = -y. Let b = -3 + p. Let v(r) = 8*r + 6. Let z(i) = -17*i - 13. Give b*z(m) + 13*v(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1673, -1671, -1669, -1667?\n\"Answer: 2*c - 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*y - 13, -1113*n + 1118*n + 5*y + 15 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 588*s**3 + 12*s**2 + 29*s + 12. Let l(q) = -587*q**3 - 13*q**2 - 32*q - 13. Determine 11*d(z) + 10*l(z).\nAnswer: 598*z**3 + 2*z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - x - 674. Let j(s) = -s**2 + 2. Determine 3*j(k) - w(k).\nAnswer: -k**2 + k + 680","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -453002\/5 + 91400. Let a = c - 797. Let g be ((-27)\/18)\/(3\/(-4)). Which is greater: g or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 >= -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 10*k + 2. What is n(-11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 23, 5, 1 in decreasing order.\nAnswer: 23, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1399, 1302, 1137, 904, 603, 234?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 4. Suppose s*p - 22 = 10. Suppose 3*b + 1 = p. Solve -3*r + 0*r = -15, -b*q + 3*r = 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1777 = -287*n - 1380 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -5 + (-207)\/(-45). Let x(k) be the first derivative of -k + 0*k**2 - 3 + 0*k**3 - t*k**5 + 0*k**4. Differentiate x(r) with respect to r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*k - 35564 = 0, 2*k + 19091 + 7568 = 3*c. List the prime factors of c.\nAnswer: 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -674, -1345, -2016, -2687?\nAnswer: -3358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1819 is divided by 96?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 34. Suppose q = -3*q + 5*b + 5, 4 = 3*q - 4*b. Is w(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-12) - 6 - (-3)\/9. Let d(o) be the second derivative of h*o**5 + 1\/80*o**6 + 25*o - 1\/32*o**4 + 0 + 0*o**3 + 0*o**2. Factor d(k).\nAnswer: 3*k**2*(k - 1)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1222 + -0.3222. Sort -0.12, o, -9 in descending order.\nAnswer: -0.12, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -640537775 + 4373591866457\/6828. Let q = k - -30\/569. Find the common denominator of -89\/16 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 21 = 3*q, 0 = 2*b - q - 1 - 10. Let t be 12\/9 - (-4)\/b. Let n(w) = -2*w**2 + w**3 - w - 2 + 5 - 2*w. Determine n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - -30) + -93 - (1 + 39 - 2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 + -55. Let w(q) = -q**2 - 5*q - 3. Let m be w(-5). Let u(x) = -8*x**3 + 4*x - 1. What is the remainder when u(m) is divided by i?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 68*x + 779. What is o(2)?\nAnswer: 915","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-126)\/(-24) - 1\/8*2. Let p be 2\/2 - 10*6\/15. Put 4, v, p, 0 in ascending order.\nAnswer: p, 0, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 7*b - 24. Put -1, b, 5 in increasing order.\nAnswer: -1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 80*v**2 + 14*v - 11. Let l(k) = -53*k**2 - 9*k + 7. Give 8*l(b) + 5*t(b).\nAnswer: -24*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 46? (a) -7589 (b) 8 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 29, -4445\/26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 288 = 3*g. Let u(h) = -h**2 + 19*h + 68. Calculate the remainder when u(g) is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - g**2 + 5*g**2 - 12 - 6439*g + 7.\nAnswer: 4*g**2 - 6439*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88360 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.5, 7\/3, 1, -0.2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 33*w**4 - 18*w**3 - 222*w**2 - 273*w - 99 = 0.\nAnswer: -11, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -50*z**2 - 361*z - 2060. Determine m(-6).\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 15*f**3 + 73*f**2 + f - 1. What is z(-5)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let k(x) = 66*x - 124. Let s(t) = -k(t) - 2*p(t). Find the first derivative of s(n) wrt n.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**7\/2940 + v**6\/70 - 9*v**5\/35 + 5*v**4\/12 + 11*v**2. Let h(c) be the second derivative of j(c). Factor h(q).\nAnswer: -6*(q - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -101? (a) -111 (b) 9 (c) -2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-16 - (5 + -15))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*z = -2, 2*l - 3*l = -5*z - 29. Let k be ((-9)\/l)\/((-3)\/16). Let o = k - 9. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 30*u**2 - 40*u**2 + 11*u**2. Let n(c) = -882*c**2. Calculate n(r(k)).\nAnswer: -882*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 201432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208 and 442.\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + y**2 + 11. Determine n(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 16, 56 in ascending order.\nAnswer: 16, 56, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7215.661 kilometers to nanometers.\nAnswer: 7215661000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -39917 and 878966844.\nAnswer: 878926927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nineteen quarters of a micrometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*p + 3169*p - 1579*p.\nAnswer: 642*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*a - 174 = -4*y, a = 3. Let g = y - 78. Suppose 4*q + 3*v = 401, 20 = -g*v - v. List the prime factors of q.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - ((-9 - -5) + -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/600*(-6)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12474 - 4?\nAnswer: -12478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + -1*(-21)\/6*8. Calculate the highest common divisor of 14 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvbbnvbvwvv. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 9*u - 17. Let t be a(-4). Calculate the highest common divisor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73597, -73595, -73593, -73591, -73589, -73587?\n\"Answer: 2*t - 73599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzojy. Give prob of sequence zjjo.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-45348)\/(-5607) - 8)\/(4\/(-18)). Let w = -3\/89 + q. Which is the nearest to -2? (a) 10 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 3, o: 3, h: 4, z: 2, d: 4}. Give prob of sequence ok.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 3*g)*(5 - 5 - 3) - 3609 - 91*g + 3609.\nAnswer: -97*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 122 = 3*p - 107, 5*p = -5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/35)\/((-20)\/140) - 2*20.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:10 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (8 - 2) - 1. Let y be (((-48)\/(-15))\/o)\/(20\/250). Let a = 2 - -8. What is the greatest common factor of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + f - 18. Let n be p(5). Solve -64*z - 6 = -n*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 11)*(-7*q + 2*q + 0*q)*(-4*q**3 + 2*q**3 + 0*q**3).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34177.18 decades to centuries.\nAnswer: 3417.718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 25. Suppose t = -2*d + 6*d. Solve -2*s = -d*x - 9, 4*s + 4*x = 3*x - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -w + 50, 18*h + 4*w - 30 = 20*h. Suppose -13 = -4*l - 81. Is l <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*a - 385, 0 = -26*d + 29*d + 3*a - 1179. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 7:49 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqxq when four letters picked without replacement from {x: 11, q: 9}.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 5, m: 5, o: 2, z: 4, d: 3}. What is prob of picking 2 o and 1 d?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 6741*d**2\/2 + 11356899*d\/2 - 11363641\/2.\nAnswer: (d - 1)*(d + 3371)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.61 - 22.1. Let u = v + 0.489975. What is u rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16*l - 37688, -36*k + 37*k - 2*l = 9440. What are the prime factors of k?\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7 + 5. Solve n = -f + 4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -5 + (-5)\/(-1) + 29 + -28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7 - (-2 - -6 - -2). Let l(q) = 14663*q - 28. Is l(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125\/658 - -9\/94. Sort z, -2\/15, 0.1, 65 in decreasing order.\nAnswer: 65, z, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/4 - m**3\/3 - 11*m**2\/2 - 2*m - 2470. Calculate c(6).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*w**3 + 11676*w**2 + 3*w - 782043.\nAnswer: -240*w + 23352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 646 by 19.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**21*s**6 assuming s is positive.\nAnswer: s**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i. Suppose -3*r + i*r = -15291. Suppose o + 3*n = -r, o - 2*o + 5*n = 5105. What is o rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a9db1 + 1?\nAnswer: 2a9db2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 193 = 190 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0515483 and 0.35?\nAnswer: 0.2984517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 4, -28*y - 68995 = -3*s - 23*y. 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: Sort 1\/3, -75, -0.1, 0.44, 0.15 in increasing order.\nAnswer: -75, -0.1, 0.15, 1\/3, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*u + 3198*u - 1061*u - 1075*u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v**4 + 4*v**3 + 4*v**2 - 4*v - 10. Let w(f) = f**3 + f**2 - f. Let j(i) = -u(i) + 4*w(i). What is the derivative of j(x) wrt x?\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-108)\/(-26) - 156\/1014. Suppose 4*u - 3*u + 3 = 0, -f*d + 4*u = -8824. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 131564976*d + 2163667863735072.\nAnswer: 2*(d + 32891244)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9793654 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 4*q + 2*q**2 + 10*q - 5*q - 3*q + 324 as y*q + i + g*q**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeueeuuuueeeuueeuu.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734812 is divided by 1534.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Let x be 1\/8*(-2 + t). What is the second biggest value in 2\/3, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2303 and -167.5?\nAnswer: 385752.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1*(-1)\/(-3))\/(2717\/(-228) - -12))\/(-46)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 1. Let h be q(2). Let i(s) = s**3 + 5*s**2 - s - 1. Let x be i(h). Let o = 0.025 + -0.105. Sort o, x, -3\/5 in descending order.\nAnswer: x, o, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 7:52 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -11 (c) 3\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 174578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0) + (-2 - 6) + 6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 3*w**2 + 3*w. Let h be a(0). Solve 0 = 3*c - 5*r - 11, -3*c + 3*r = -h*r - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123 - (226 + -146)) + -163 + 1?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -128.7138 and 0.05?\nAnswer: 128.7638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(2*f - f - 3*f)*(-36*f**2 + 1350*f - 1350*f) to the form a + w*f**2 + k*f + z*f**3 and give z.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(85)\/sqrt(5)*6)**2 - (sqrt(85) - (sqrt(85) - -1*sqrt(85)*1))\/sqrt(5).\nAnswer: sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubcm when four letters picked without replacement from {b: 4, m: 1, c: 1, v: 2, u: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 3696?\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:50 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 2*o**2 - 6*o - 3. Let x be b(-4). Suppose d - 4 = -4*h, 0 = h + 1379*d - 1375*d + 29. What is the highest common factor of x and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 553*b**4\/12 + 884*b. Let p(f) = 2*f**2. What is p(u(q))?\nAnswer: 611618*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - 72) - (6 + (-50 - -36) + -4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 + x + 10. Let l be q(0). Solve 5*v + l = -0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46478456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250369942 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: What is 139 divided by 40?\nAnswer: 139\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 705\/163 + 3306675\/326. Which is greater: g or 10148?\nAnswer: 10148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*h + 47*h + 44*h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3 - 13\/4). Solve -11 = v + 2*x, 5*v + n*x = -0 - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**5)\/t*t)\/(t**(-16)*t) assuming t is positive.\nAnswer: t**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 - -2.54. Let x = -167.86 + 173. Let t = y - x. What is the second smallest value in 4, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -34. What is the nearest to -2\/5 in -2\/13, y, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -992 + -17\nAnswer: -1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68, 138, 208, 278?\n\"Answer: 70*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 + z**5\/15 - z**4\/24 - z**3\/6 + 4*z**2. Is k(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984.6111 minus 2523.4?\nAnswer: -538.7889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 4. Suppose 2*j = 2*i + 10, 19 = -4*i + 3. Suppose j = -2*s - 9. Sort g, s, -1 in descending order.\nAnswer: -1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 2*q - 2*q + q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8 - 2 = 0. Suppose -y*j = 4*j - 6. Let k be (j - -2)\/(2\/22). What is the highest common divisor of 22 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3584.047 - 3582. Let d = -0.047 + k. What is the second biggest value in -1\/4, -2\/7, d, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k + 13*k + 7*k - 45*k.\nAnswer: -88*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from uaauuuu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 14*m**2 - 12*m - 18. Let t be n(12). Let g = 377\/3 - t. Which is the closest to 1\/2? (a) g (b) 3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 j when four letters picked without replacement from {j: 7, d: 2, u: 4, a: 3, z: 2}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 2*t - 12. Let z be i(5). Is 4 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 7026417?\nAnswer: 7026421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -90 (c) -3 (d) -10 (e) 2\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*((sqrt(72) - (sqrt(72) + -2))*4 - sqrt(72)) + 1*(-2 + -2*(sqrt(2) + 1))))**2.\nAnswer: -896*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52701 > 52703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28871 (base 9) in base 11?\nAnswer: -13859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) 2 (c) 0.02 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 30 - 72. Suppose j = x*j. Solve -2*f - 5*h + 9 = j, -f + 2*f - 2*h = -9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/532 + 8247\/532. Calculate the common denominator of 83\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/6615 and 149\/5880.\nAnswer: 52920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:11 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.417774 in -0.3, 4\/7, -2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/2 + (0 + -133)\/(5117\/(-1462))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbzbbbiz. Give prob of picking 2 z and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = -4. Let z be 225\/(-6)*((-16)\/3)\/y. Let s = 89 + z. List the prime factors of s.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (1 - (2 - 3)). Let x = c + 7. Let z(d) = -d**3 + 5*d**2 - 4*d - 1. What is the units digit of z(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 31. Let a = -13 - -11. Let l = a + x. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7055.804 litres?\nAnswer: 7055804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 117.585. Let a = -18.485 - x. Let q = -19.79 - a. Round q to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2\/4 - 33*d\/2 - 62 = 0.\nAnswer: -62, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2666 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 21*c + 42. Calculate x(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 7*w**2 + 2*w - 2. Let p(u) = -3*u**3 + 15*u**2 + 5*u - 5. Let v(d) = d**2 - 29*d + 23. Let o be v(28). Give o*c(y) + 2*p(y).\nAnswer: -y**3 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -785 + 777 - (-4 + 0 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-3)*(-396)\/5808.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000792 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3558854390 rounded to the nearest one million?\nAnswer: -3559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, z: 3, p: 2, e: 1, o: 1}. Give prob of picking 1 z, 2 r, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(77)\/(sqrt(44)\/sqrt(4))) - (sqrt(3) + (sqrt(6)\/(2*sqrt(2)) - sqrt(3)) + sqrt(3) - 2*sqrt(108))**2)*5.\nAnswer: -6615\/4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299231 and 10887?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(68))*-5 + sqrt(68) - (sqrt(204)\/(-1*sqrt(192)))**2.\nAnswer: -8*sqrt(17) + 223\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60999 is divided by 5032.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let h be o(-5). Let y be (64\/96)\/(2\/15) - -125. Find the second derivative of -134*c**4 + 4*c + 11*c + y*c**h wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let z(l) be the third derivative of l**5\/15 - 4*l**2. What is z(t(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 11*i - 7*i + 10 = 0, 5*i = -5*n - 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 25 + 19*x + 47*x.\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s - 9*s + 28*s + (-5 + 1 + 6)*(5*s - 7 + 7).\nAnswer: 39*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.926286788 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51606 (base 8) to base 15.\nAnswer: -6507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 3*v - 329 = -238, -11*b - 5*v = -6*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 a factor of 874725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*g - 75, 63*h = 67*h - 2*g - 82. Calculate the remainder when 204 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/(f*f**(1\/2))))\/f)*f)**(-4\/29)\/(f**(-4)\/((((f*f*f**(-3)*f*f)\/f)\/f)\/f)))**(-1\/10) assuming f is positive.\nAnswer: f**(-26\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/13028 and -23\/452?\nAnswer: 1472164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -10. Suppose 3*l = -6, 6*q - 5*q = -3*l + p. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a3 + d9?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -730 and -4.\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 137493601 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, 0.1, 4, -6, -1\/939, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13396 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -174 + 69. Let p = b - -63. Let q = 72 + p. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*f = 124*f + 32900. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 4156*r\/5 + 321632\/5.\nAnswer: -(r - 76)*(r + 4232)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/2*3\/12. Sort -5, 3, b.\nAnswer: -5, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*x + 1 = 3*x, 2*w = 4*x - 8. Let t = -1 - -7. Let u be (-1)\/(1\/(w\/t)). Which is the closest to 0.1? (a) u (b) -0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1674 - 1680. Which is the nearest to 1? (a) x (b) -13 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - (0 - 0). Let z = 118 + -277. Let w = z - -159.4. What is the nearest to b in 1\/8, w, 3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i - 5103 = 45*i + 7*c, 5*i = -c + 25371. What are the prime factors of i?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189 divided by 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, u: 1, t: 3, p: 2, l: 5}. Give prob of picking 1 u and 1 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {q: 7, e: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 10*c**2 + 38*c + 171. Determine b(-5).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 13*q**3 + 8 + (127*q**2 - 64*q**2 - 88*q**2)*(5 + 3*q - 5) in the form k*q**2 + x + a*q**3 + u*q and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4836 + -1998. What is the hundreds digit of (-8)\/7 + 1 + g\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 a when two letters picked without replacement from mqqaqqme?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 4*k - 2 - 6, 0 = 5*x. Solve 0 + 0*m + 2\/7*m**k = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjs when four letters picked without replacement from sjjssjjjjsj?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/22, -4, 2, 0.902, -1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4 - 36. Let k(w) = 2*w - 8. Let g(r) = 5*r - 22. Let i(y) = 3*g(y) - 8*k(y). What is the least common multiple of 4 and i(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -3*r - 20245, -4*a - 3*r = -18086 + 1890. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.03747 * -1\nAnswer: 4.03747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*d**2 + d**3 + 940*d**2 - 476*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*i - 3*i. Suppose -2 = 4*p - 3*q - 51, -5*p + i*q = -63. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(12958\/(-4836)) - (1 + -5)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = 0, -n = m + n + 2. Suppose -2*g - 4 = -2*b, 0*g + 2*g = -2*b + 16. Solve -y = g*y + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 34.00000042. Round n to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3*x - 6. Let b(t) = 2*t**2 - 3*t - 7. Give 3*b(v) - 4*d(v).\nAnswer: -2*v**2 + 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 5369078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 40209536518 + 11\nAnswer: 40209536529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g**3 + 37*g**2 + 10*g + 12. Calculate the smallest common multiple of q(4) and 10924.\nAnswer: 10924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.580936 nanometers?\nAnswer: 0.000000000003580936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -490, -10, -2, -78 in ascending order.\nAnswer: -490, -78, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 42, -4, -357\/5, -9\/7 in increasing order.\nAnswer: -357\/5, -4, -9\/7, 3\/5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -15*s**3 - 25*s**2 + 35*s + 105. Let b(x) = 17*x**3 + 26*x**2 - 39*x - 108. Let g(d) = -5*b(d) - 6*o(d). Solve g(r) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11102212100 (base 3) to base 12\nAnswer: -42699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbbbbfbfbbb. What is prob of picking 3 b and 1 f?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 48*r = -2*s - 3, -2*r + s + 6 = 0. Which is bigger: 11\/256 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13010263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21150 + -21142. Let a(i) = -i**2 + 29*i - 143. Give a(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + k**2 - k**2 + (k + 0*k + k)*(2*k**2 - k**2 - 2*k**2) - 24*k**3 + 3 - 3 - 2*k**2 + 2*k**2 + 3*k**3 as u + b*k**2 + n*k + z*k**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 15) to base 10\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -6*k + 24. Let r = 105 - 226. Let l = r - -141. What is the greatest common divisor of l and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:16 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48393, 96781, 145171, 193563?\nAnswer: 241957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 3*z**2 + z**2 + 2*z**2 + 7*z**2 + 0*z**2 + (-z + 5 - 5)*(z + 3 - 3).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 29. Let l be -11 + (-2 - (0 - -2)). What are the prime factors of s(l)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 z when four letters picked without replacement from wwzmcnzwncfnmmc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 484\/23 - (-393)\/(-9039)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 15 - 14 + 13*g**2 - 1. Let f(j) = -12*j**2 + 15*j - 15. Let w(x) = -x**2 + x - 1. Let h(b) = -f(b) + 15*w(b). Calculate h(l(t)).\nAnswer: -507*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2031*k**3 + 3*k**2 - 13 wrt k?\nAnswer: 12186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*g - 15. Let x(u) = 3*u**2 - 3*u - 4. Does 22 divide x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from szgrhsshgh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -2*a, m = 2*a + 3 + 2. Let l = -14 - -9. Let j = 5\/3 - 31\/15. What is the third smallest value in l, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 + 66*m**2 + 39*m + 44. Let o(l) = -2*l**3 + 23*l**2 + 13*l + 15. Let b(a) = 8*o(a) - 3*u(a). Give b(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 67087*b + 7379568. Calculate m(-110).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3161, 12352, 27677, 49136, 76729?\n\"Answer: 3067*b**2 - 10*b + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldll when four letters picked without replacement from llddl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -17*w + 3. Let h be f(2). Let k = 38 + h. Suppose -8*n = -k*n - 211. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**9\/60480 + r**8\/6720 + r**7\/1260 + r**6\/720 + r**5\/20 - 3*r**2. Let b(m) be the third derivative of q(m). What is b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - 18*z + 28*z)*(3 + 0 + 1).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 164, 171, 192, 233, 300, 399?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*y + 3*w + 32, 3*y + 3*w = 12. Suppose -y*a - 678090 = -2374090. What is a rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99630 and 774490.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 3*d - 2*d)*(-3*d + 2*d + 3*d + (1 + 2 - 4)*(-2*d - 5*d - d) - 2*d + 3*d + 0*d).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 2*m + 1. Let b be f(-5). Let x = 169577 - 3221965\/19. Sort b, x, -3\/8 in descending order.\nAnswer: b, x, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 25 = -4*l. Solve 4*r + 19 = -g, -l*g - 5 = -3*r - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125354823521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -1\/80*h**6 + 0*h**3 - 9 + 0*h + 2*h**2 + 1\/20*h**5 - 1\/16*h**4. Let n(g) be the second derivative of c(g). Solve n(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*u**2 + 422*u**2 + 484*u**2.\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let i(h) = -4*h + 8. Let l(t) = i(t) - y(t). What is the lowest common multiple of l(-2) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 + 4*o**2 - 13 + 33 as z + w*o**2 + p*o and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 202 + -197. Solve -5*k + 10 = -q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224 - 2014\/9. Which is the third biggest value? (a) y (b) -3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -62273.\nAnswer: 1\/62273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - d - 14, 2*r + 5*d = -0*d - 4. Solve -3*f = 3*k + 6, -7 = r*f + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 34. What is the highest common factor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 9:17 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 17. Let q = r + -11.3. Which is the smallest value? (a) q (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**7\/5040 - z**6\/720 + z**5\/80 - z**4\/3 + 3*z. Let u(y) be the third derivative of p(y). Factor u(i).\nAnswer: -(i - 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 47. Let o be 118\/d + 6\/(-57). Suppose k = 3*k - 4. Solve 44 = -3*m + 4*c + 17, 0 = k*m + o*c + 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*p - 360 = -52*p. Suppose -19*z + p = 26*z. Solve -j + z*b = -22, 5*j - j - 23 = 3*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1262, -5691 in increasing order.\nAnswer: -5691, -1262, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 1 - (-12 - -6 - -10) - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2)*p*p\/((p\/(((p\/p**(4\/11))\/p)\/p))\/p))\/((p\/p**5)\/(((p\/(p*((p*p**(-3\/8))\/p)\/p))\/p)\/p)))**2)**(7\/5) assuming p is positive.\nAnswer: p**(1239\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2) + 38\/4. Suppose s - 4*m - 16 = 0, 3*s - p - 3 = 3*m. Solve 4*o = 2*h + 2, -5*h - 15 + 0 = s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*r + r - 2, -8 = -2*r. Is (-4)\/o - 593*215\/(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 42*q**2 - 17*q - 980. Let x be g(41). Sort -61, -2, 3, x in descending order.\nAnswer: x, 3, -2, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5433478223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(0*z + 10*z - z) as w*z + d and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4231291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 9 = -21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 32. Let o(b) = -5*b + 6. Let w be o(g). Let q be ((-6)\/(-4))\/(21\/w). Solve f - q*v - 7 = 0, -4*v + 2 = -3*f - 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 + 18*l**2 - 36*l + 27. Let f(q) = -3*q**3 + 18*q**2 - 36*q + 26. Let y(h) = 3*f(h) - 2*r(h). Factor y(i).\nAnswer: -3*(i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 491. Give u(-205).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -77\/4. Let n = 131\/4 + -33. Which is the third smallest value? (a) -3\/2 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 4. Suppose -3*h + 44 = 8*h. Suppose -h*f + j = -2*f - 6, 4*j = 0. Give a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155\/117 + 5\/9. Let h = 16929 - 16930. Which is smaller: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/14))**(-4\/15) assuming g is positive.\nAnswer: g**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -3, -4, 615 in decreasing order.\nAnswer: 615, 79, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 976 + 326. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18764*v + 1740 = 18744*v for v.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 2. Let j be c(3). Suppose -6*w - 15 = -j*w. Let l = -6 + 8. Solve -2*k = -w*k + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.0266 and 5.\nAnswer: -25.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -1\/5, 1.87?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 8 = -6*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2534\/(-210) - (-4)\/60) + 12 + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 371 + -16?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 1609387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6988*z - 1000522 = -1213*z for z.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*d + 16 = 0, -2*d = -2*k + 3*d + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*d + 5*q - 6*q, 0 = 4*q + 20. Is 41\/d - (-10)\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = c - 1, 4*c + 18 = -3*z. Let v be 2*1\/(-12)*c. Let q = 3.04 + -0.04. What is the closest to 1\/4 in q, 2\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = r, -64*r + 69*r + 20 = 0. Solve b = -5*d - 30, 21*d - 17*d + 40 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(475) + sqrt(475)) - (-2 + sqrt(19) + -2 + sqrt(2736) + sqrt(2736)).\nAnswer: -25*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 - 3*f**4\/4 + 20*f**3\/3 + 53*f**2\/2 - 980*f + 5. Give y(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13832, -55979, -126402, -225095, -352052?\n\"Answer: r**3 - 14144*r**2 + 278*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1201305059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764281.\nAnswer: 7, 41, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -217 - -225.02. Let c = 0.03 - -7.97. Let r = u - c. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 390624 and 1171872?\nAnswer: 1171872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -5?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-7)*(-77)\/(-99)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 18. Let h = -6 + l. Is -2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191030353?\nAnswer: 191030353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 15691 = 15013. Round v to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 4*l - 1 = 7*l, -p - 3*l = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 10:09 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 - 7*o - 1. Suppose 4*d = q + 3*d - 4, 16 = 3*q - d. Let r(j) = 5*j**2 - 6*j - 1. Let k(s) = q*z(s) - 7*r(s). What is k(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -101\/5. What is the nearest to 1 in -3, k, 1.21?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630575 by 55.\nAnswer: 11465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 23*h - 24*h - 45, -h + 43 = 4*n. Solve -2*q = -2*c - 14, n = -3*c - 4*q + 2*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 + -664024211?\nAnswer: -664024210.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97*k**4 - 93*k**3 + 60*k**2 + 76*k + 89120?\nAnswer: -1164*k**2 - 558*k + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 j when four letters picked without replacement from vvjvvvvjvvjjgv?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7059755ml?\nAnswer: 0.0007059755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.976 * 3.\nAnswer: 2.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from ejjjeybffjfbvfyyb?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 243788 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -1) + (17 - (-6 - -20) - -15 - 65).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16767 and 1069339?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 1. Suppose 0 = 52*t - 48*t + 4. Let o(y) = -1. Calculate t*o(k) + q(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12088013911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6437053714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/21? (a) -0.2 (b) -0.3 (c) -4 (d) 399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + 4*b**2 - b**2 + (1 - 1 + 3*b)*(-b + 4*b - 5*b) + (3*b - 4*b - b)*(b - 2*b + 4*b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -342. Let j = p + 298. Let y(m) = m**3 - 3*m**2 - 5*m + 4. Give y(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*y = -2*y - 3, -3*y = 4*l + 10. Put 0.8, l, -0.2 in decreasing order.\nAnswer: 0.8, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/64507134 and -49\/159759.\nAnswer: 580564206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 10*j**2 + 25*j + 15. Let c be t(-12). Suppose -12*n + 15487 = -10*n - c*x, -5*n + 4*x = -38735. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - z**2 - 3 + 3*z**2 - 4*z**2.\nAnswer: 2*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(209)\/(-5*2*sqrt(11)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116083 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + 2*p + 1221*p**2 + 98*p - 103*p as q*p**2 + a + h*p and give q.\nAnswer: 1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1))\/v*v**(3\/5))\/((v\/v**0)\/v**(3\/2)))\/((v**(-4\/3)*v\/(v*v*v**(4\/7)\/v))\/(v**(-6)*(v**(-3\/4)*v)\/v*v)) assuming v is positive.\nAnswer: v**(-733\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:32 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.59498 and -0.4.\nAnswer: 1.437992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 468 + -433. What is the smallest common multiple of j and -1 - 2 - (-19 - 14)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a factor of 1090836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Let p = n + 3. Let g = -118\/3 + 39. What is the closest to p in -1\/2, 2\/13, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 + -1.51. Let d = -5.91 - q. Let l = -8 - d. Which is greater: 1\/2 or l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 + 3. Let z be w(-7). Differentiate -z*k + 3 + 3 + 7*k with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 144, 148, 164, 198, 256?\n\"Answer: h**3 - 3*h + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*f + 230640 = 194417 for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from xxxxxxvxvxxxvxxxxx.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431066812.\nAnswer: 2, 7, 51109529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**6*y + 43*g**3*l + 2*g**3*y - 13*g**2*l*y + 2*g**2*y + 2*l*y - 5*y wrt g?\nAnswer: 240*g**3*y + 258*l + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316064?\nAnswer: 2, 7, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*c + 19, 2*q = 2*c + 26 - 8. Suppose 24 = 8*a + 8. Suppose -a*t = -30 - 64. Calculate the remainder when t is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q + 5. What is the remainder when f(0) is divided by (-560)\/(-224) - (-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + 462\/(-18). Let u = s - -38. Let p(d) = -12*d**3 + 1. Let h be p(-1). Is u > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4292303 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, 319, 1013, 1781, 2617, 3515?\nAnswer: 4469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 4 + 2 + 2 - 35*z in the form h*z + y*z**2 + u and give h.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdrlzllllzrddd. Give prob of picking 1 r and 3 l.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/7*g**5 - 1350\/7 - 855\/7*g + 1254\/7*g**2 + 96\/7*g**4 + 852\/7*g**3 = 0. Calculate g.\nAnswer: -15, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 8}. What is prob of picking 3 n?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 5*c + 94 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33951462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -98. Let h = -64 - -71. Let d = b + h. Calculate the remainder when d is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*j + 1 + (j - 4*j - j)*(-1 + 5 - 2) + (-21 - 8*j + 21)*(5 - 4 + 0).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -2. Suppose 0*t = m*t + 1177722. Let u = t + 138861. Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13 - -1)*(-21)\/28*-6. Calculate the greatest common divisor of c and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + aa7935?\nAnswer: aa793a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - i - 8 = -3*i, -3*i = -3*x - 3. Which is bigger: x or -2\/27?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 4*v + 10668 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 15. Suppose -k = -d - 0*d. What is the remainder when 47 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**4 + 280*y**2 - y?\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 290*d**2 - 3*d - 414. Let f be v(-145). Solve -f*b + 17 = 80 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134544857.\nAnswer: 9391, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -11. Let y(r) = -8*r**3 - 6*r**2 + 6*r + 7. Let q(f) = 92*f**3 + 6*f**2 - 41*f**3 - 5*f - f**2 - 44*f**3 - 6. Calculate i*y(c) + 6*q(c).\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7385 + 3659. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3602+-0.1\nAnswer: 3601.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.84? (a) 0.253 (b) -24 (c) -3 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8897, -35535, -79953, -142157, -222153, -319947, -435545, -568953?\nAnswer: -720177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let j be z(3). Is 14 a factor of 2 - (j - 6 - 16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3314 is divided by 142?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -261 + 3?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 943649747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 28*y - 191. Determine b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a factor of 13577327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15916028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 8)*550\/2145 - 2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7100, -4, -5.\nAnswer: -7100, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*(4*(-9)\/(-12))\/20\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0 + 0)*(2 - 1 + 4)*(-2 + 0 + 3)*((1 - 6 + 3)*(2*f - 5*f + 2*f) + 1 - 1 + 2*f - 2 + 2 + f) to the form s + z*f + y*f**2 and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 - 1.1. What is the closest to 0 in -1\/2, -2, x?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57063155 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 48*y - 27. Let z(g) = 7*g - 4. Let v(q) = -4*m(q) + 27*z(q). Let p(h) = -h. Give v(p(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 3.3, -1\/3, -30\/13, -1.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 115\/(-20). Let a be 0\/(0 + 2 + -3). Let b = a + y. Solve 4*v - b*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:39 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 2*b)*(0*b + b - 2*b) + (3*b - 3*b - 2*b)*(-3*b + 2*b + 7*b).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 + -156 - (-1 + 29)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o. Let f(u) = u**3 + 9*u**2 + 13*u - 1. Let a be f(-7). Let g be t(a). Suppose -g = -3*n, -q + 5*n = 8 - 0. Solve q = -3*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35241 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = 5*v - 2*v + 2*q, 2*v - q - 273 = 0. Solve 0 = v*c - 139*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(2448) + -1*sqrt(2448) - sqrt(2448)) + -3.\nAnswer: -1 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -30*c**2 + 3*c - 3. Let f(t) = -59*t**2 + 5*t - 5. Calculate 3*f(w) - 5*y(w).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 38071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*z - 13 - 1, 6*z + u + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.02 * -0.07.\nAnswer: 1.4714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -44*m**2. Let u(p) = 547853*p**2. What is u(y(x))?\nAnswer: 1060643408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12441 - 400242?\nAnswer: -332301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22)*(-7 + (-189)\/(-28)). Which is the fourth biggest value? (a) 4 (b) z (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 968085.\nAnswer: 3, 5, 71, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*z + 5*o, o + 3*o - 18 = 3*z. What are the prime factors of 321\/21 + z\/35?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -321919.\nAnswer: -3\/321919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558, 841, 1124, 1407, 1690?\nAnswer: 1973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h - 8 = 0. Suppose 769651 = a + 2*p - 1230347, 0 = -h*a + 2*p + 4000002. Round a to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)*j)**(-16)*(j**1)**(-8\/13))**(-35) assuming j is positive.\nAnswer: j**(7560\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 153350759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 + -65. Let x = -50 + v. Does 12 divide 155*(x\/(-25) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35\/4? (a) 4 (b) 3 (c) 20\/31 (d) -3 (e) 0.1 (f) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-15)\/2*(-4)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270948 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23247 - 13630. List the prime factors of u.\nAnswer: 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 > -115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*c - b - 7 = 0, b = 2*c - 1. Suppose k + 3*y = 789, -y + c*y = 2*k - 1578. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yiyyyigyyiggg. Give prob of sequence yy.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 2*i = 22, -12*d = -14*d + 2*i - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 36.1. Let r = 1.8999999 - f. What is r rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34346141 is divided by 145.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 + 4*f - 13. Let a = 32 - 26. Let u be l(a). Let k = u + 620. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*s = 58*s - 1764. Let b(t) = -t. Let i(x) = -16*x. What is s*b(l) + 2*i(l)?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1384\/45 + 151\/5. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kek when three letters picked without replacement from kekekke?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 13*u**2 - 15*u + 21. Calculate w(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -53064, -53061, -53058?\n\"Answer: 3*z - 53067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 492541*l - 20 = -492545*l, -b + 6 + 4 = b + 2*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.03286 seconds?\nAnswer: 1032860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 5:01 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - -3*sqrt(88))*5 - sqrt(88)) + sqrt(88))\/sqrt(8) + (((sqrt(88) - (3*sqrt(88) + sqrt(88)))*5)\/sqrt(8))**2.\nAnswer: 20*sqrt(11) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -775729, -1551461, -2327193, -3102925, -3878657?\n\"Answer: -775732*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304) + -1 + 2 + 3 + (sqrt(304) - (sqrt(304) + 0)))*6*-2*-5.\nAnswer: 720 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 - 0.4. Let r = 0.3 - l. Let a = 0.9 - r. What is the third smallest value in 0.2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19034 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 38427017.\nAnswer: 6\/38427017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 10*a**2 + a + 13. Let c be g(-10). Let z be -5*(-10)\/c*3. Let s = 59 - z. Solve 6*l - s*l = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5022 and 16?\nAnswer: 40176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-3)\/(-20)*(-80)\/(-660)*11.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 866 + -596. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 770042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s - 32. Calculate i(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6027, 12219, 18411, 24603, 30795?\nAnswer: 36987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z**2 - 4 + 14\/3*z**3 + 0*z. Let t(u) = 2*u**2. Give o(t(x)).\nAnswer: 56*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/3038)\/(1\/(4\/(-6)))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -3*z - 5*i, i + 8 = -3*z. What is the common denominator of -107\/14 and 1\/z - 267\/(-24)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/399, -1.\nAnswer: -5, -1, 1\/399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -4 (b) -43\/8 (c) -0.3 (d) -0.8 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-4 - (-3 + -1)) + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 18, -0.04, -12, 2\/13, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:25 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:20 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4390445, -8780895, -13171345, -17561795, -21952245?\n\"Answer: -4390450*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13781108 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.1. Let y(w) = w + 8. Let f be y(-5). Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42319019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2626140541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88 + 47. Let p = z - -71. Calculate the highest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 4*t**2 - 3*t + 3. Let z be a(-3). Suppose -5*w - 28 = 4*h, -h + 7*w - z*w + 14 = 0. Is -2 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = a + 9, 13*d + 3*a + 19 = 11*d. Let y(b) be the first derivative of -b**2\/2 + b - 1. What is y(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19\/3 + (-2)\/(-3). Suppose 4*t - p - 4682 = 0, -2*t - 5*p + z*p + 2338 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-8\/3))\/g)\/(g**(-12)*g))\/(g*g**4)**38 assuming g is positive.\nAnswer: g**(-545\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-5 + sqrt(242)*4 + (-2 + sqrt(242) + 1 - sqrt(242))))**2.\nAnswer: -14960*sqrt(2) + 97956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2533 = -132*h + 6651 - 1264. Calculate the least common multiple of h and ((-12)\/(-5) + 0)*25.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f. Let x = 14 - f. Suppose -15 = -3*a - 3*m, -a + x = -6*m + 4*m. Solve -6*b - a = -b + 2*q, -2*q - 8 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 327*m + 658. Give h(107).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3982 in 0.27, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7494 is divided by 552?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 279 and 1060.3325.\nAnswer: 1339.3325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -49 - 47. Suppose 24*l - 53 = 187. What is the remainder when d is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 14948305*f**2 + 44844960*f.\nAnswer: -5*f*(f - 2989664)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -581.6 - -582. Which is the smallest value? (a) -0.2 (b) 222 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(378)\/(2*sqrt(486) + sqrt(486)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjij when four letters picked without replacement from jijjjjjj?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*y = 136, -3*q = -60*y + 64*y - 192. Let l = -1 + 1. Suppose l = -4*t - 10 + 86. What is the remainder when q is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1778?\nAnswer: 19558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(12*-2))\/((-81)\/216)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13432, -26867, -40302?\nAnswer: -53737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163745.\nAnswer: 5, 32749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*b + p, 5*p + 20 = p. Suppose -b*v + 9*v = 880. What is the greatest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (1 - -1)) + -5 + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301887, -603779, -905671, -1207563?\nAnswer: -1509455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 - r**3 + 1286*r - 17 - r**2 - 1287*r to x + j*r + m*r**2 + g*r**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 3*b**2 + b + 5. Let y = 5 - 1. Let f be m(y). Suppose -5*z + 10 = -5. Solve 2*u = 4*g - 22, z*g - 2 = 5*u + f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-4 + 9)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.375 - 2909.\nAnswer: -2908.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from aallhalarrlhrlahza.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 375 + -390.9. Let j = d + 16. What is the third biggest value in 5, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*j - 40, -2*j - 62 = 5*t - 4*j. Let o = t + 18. Solve -o - 8 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - g = 13, 6*g - 2*g + 20 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let x be (2\/(-4))\/(t\/(-28)). Suppose -z - 3 = c, -16 - x = -4*c + 3*z. Let r(m) = 2*m**2 - m - 2. Determine r(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199*-22.\nAnswer: 4378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 4*t + 4, 3*y = -0*y + t + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -69. Calculate the smallest common multiple of 15 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + s + 1. Let v be 4*(-2)\/(-1*8 + 0). Let d be t(v). Solve d*c**4 - 20*c**3 + 111*c**5 + 12*c**2 - 55*c**5 - 52*c**5 = 0 for c.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((6\/8*(-192)\/(-288))\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 1025840515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 6802 = -72*k - 92*k - 7982 for k.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -1.07. What is the closest to -0.1 in j, 2\/3, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s. Let z(y) = y**2 + 11*y + 22. Let x be z(-9). Let p(q) = -2*q**3 - 4*q**2 - 5*q + 2. Give x*l(b) - p(b).\nAnswer: 2*b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1 + (-3 + 2 + 0)*(0 + 1 - 4 + (2 + 2 - 2)*(3 - 6 + 1)))*(110*i - 110*i - 11*i**5).\nAnswer: -55*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 34. Let p be y(9). Suppose -53620000 = -p*s + 2*s. Round s to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19*(-1 - -2 - (-37)\/((-814)\/44))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*((-6)\/15)\/((-4)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2 + l - 2. Let a(u) = 89*u**2 - 9*u + 15. Let i(w) = 38*w**2 - 4*w + 7. Let n(v) = 2*a(v) - 5*i(v). Give 2*n(f) - 5*p(f).\nAnswer: 6*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n - 3. Suppose -j + 5*j - 28 = 0. Let d = j + -7. Calculate o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3026988357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 15*s - 13. Let z(x) = 6*x + 2. Let b be z(3). Suppose 0 = 5*i - b - 10. What is the remainder when d(12) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925760309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + k**2 + 8*k - 4. What is the units digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -3, 1, 0.5 in increasing order.\nAnswer: -3, -0.12, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38385\/33 + 8\/(-44) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9db7 (base 15) to base 10\nAnswer: 33472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(9)\/sqrt(3)*6) + 0 + -3*sqrt(3).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w - 2. Let h be n(-1). Solve -4*m + l - 3 + h = 0, -4*m + 8 = 2*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 764 and 4\/26 + ((-2)\/(-39))\/(60\/1564110).\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b + -40?\nAnswer: -8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3117 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 14*w - 6. Give v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1681 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 1\/11, -0.4, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/3, 1\/7, 0.11, -7, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 599 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (68\/24)\/(43\/430)*-3\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21525 - -3?\nAnswer: -21522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 2 n when four letters picked without replacement from nngrngrrngn.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 155 - 155. Let i(h) = 4 + 19560*h - 1 - 19563*h - 3. Determine -5*i(x) + 3*m(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5318\/11 - -484. Let b = 3\/5 + -7\/20. Let g = 1.648 - -2.352. What is the nearest to b in g, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tll when three letters picked without replacement from {t: 4, y: 3, l: 7}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2862\/(-2385)*140\/(-24)*-16.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (469\/21 - 10)*(205 - 213)\/(4\/3)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327331, -654470, -981609, -1308748, -1635887, -1963026?\nAnswer: -2290165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-2 - -1) - (-60)\/(-15). Which is the smallest value? (a) -1\/24 (b) -6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 154 + -24 + -121 - 71?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000622960647 rounded to five dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/15 - ((-78)\/(-18) - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -9305776\nAnswer: -2791732.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -32*o**2 - 16*o - 16. Let s(i) = -14*i. Let h(m) = -55*m + 1. Let y(r) = -h(r) + 4*s(r). What is b(q) - 16*y(q)?\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1544.759?\nAnswer: -7723.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/48 and 13\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8225036634 to the power of 1\/3, to the nearest integer?\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.36 + -103.36. Let c = d - -275. Let v = c - 172.31. What is v rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 31804644352.8 and 36?\nAnswer: 31804644316.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(243)*-1*-5 - sqrt(243))\/(2*sqrt(36) - sqrt(144)*-4))**2.\nAnswer: 2187\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 4*o + 7. Let f be u(5). Let w(z) = z + 2. Let v be w(-5). Let d(i) = 2*i. Let k(b) = 6*b - 1. Let h(n) = v*k(n) + 8*d(n). Calculate h(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -2448.076?\nAnswer: -244.8076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 23335752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 248751*s**2 + 5156546040*s + 5156297292.\nAnswer: 3*(s + 1)*(s + 41458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163548315.\nAnswer: 3, 5, 7, 57689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 11. Let r be d\/(-8)*24\/63. Let y = -236 + 3542\/15. What is the second biggest value in r, 1\/2, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3973.22 - -3973. What is the nearest to -2\/7 in j, -0.4, -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2033 and 179587?\nAnswer: 181620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 40 + 17)*(-4 - 1 + 4)*(0 + 3 + 1)*(4*u - 3*u + 0*u)*(-2 + 2*u + 2).\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -430 - -445. Suppose c - 3*n - 160 = 0, -11*n + 14*n = -v. What are the prime factors of c?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -325 + 316. Let l(i) = 46*i**2 - 19*i - 8. Is l(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 49\/4 of a meter?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.221 microseconds to milliseconds.\nAnswer: 0.780221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223893*r = -223978*r + 1105 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 21. Suppose -6*v + 84 = -a*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 13.7. Let l = r + -4.7. Let y = l - -4.1. Which is the nearest to y? (a) -2\/9 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4142602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5 - 1)*(0*y - 15*y - 28*y) as c + o*y and give o.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -1 - (-12)\/10 - 1045\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 598169358 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05713 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -3*u**4\/4 - 6*u. Let o(s) = -6*s**2 + s**2 + s**2 + 3*s**2. Determine c(o(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x - 330. Let l = 2399 - 2424. Determine c(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-194)\/(-37345)*-7*1\/1.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 3*v + 2, -17*v + 19*v + 18 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((177 - 149) + (5 - -73))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x + 5. Let b be -10 - -7 - 3\/x. Suppose 0 = 5*j - 5*d - 295, b*j = -3*j + d + 183. What is the remainder when j is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51021.\nAnswer: 3, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 261557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 16*r + 15. Let y be b(5). Suppose 25 = -v - 3*g, 3*v - 5*g + 4*g = -y. Let i = 34 + v. Solve i*f - 3 = -6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d**2 - 1. Let q be 11\/6 - (-4)\/(-120)*-5. Suppose -q = 25*c - 23*c. Calculate j(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1517.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 155 = -5*i - 7*g, 2*g = 4*i - 118. What is the greatest common divisor of i and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j - 367 - 68 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*v**2 - 174772*v - 34954.\nAnswer: -2*(v + 17477)*(5*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -3)*(15\/70)\/(2\/7). Find p such that 0 + s*p**2 + 3\/2*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -2*b - 11*c + 96700, 4*c = 20. Suppose t - 4*r = 2*t - 9667, 0 = -5*t + 5*r + b. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1 + c**3 + 3 + 4 + 1 + 2*c + 4*c**2. Let h be i(-4). What is the highest common divisor of h and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a**3 - a + 1. Let b be q(1). Let i be ((-6)\/(-4))\/(b\/8). List the prime factors of (i + -11)\/(-1) - -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2864*g + 39. Let k be 4\/(128\/200) - (-1)\/(-4). Is r(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215*s - 43 + 43 + 61*s - 3*s**2 to d*s + b*s**2 + j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2933, -5882, -8831, -11780?\nAnswer: -14729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.04 + -0.04. Let z = 3 + -2. Let k = -1.3 + z. Which is the smallest value? (a) g (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.370097 microseconds in seconds?\nAnswer: 0.000001370097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. What is the third biggest value in -0.4, -1\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n + 11*n + n + 11*n + 5*c = -4*n + 11, 23*c - 47 = 4*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 0 + 0)*(4*z - 5 - 19*z + 8*z) as p + q*z + s*z**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8050696861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 8*c**5 - 2378*c**4 - 28782*c**3 - 81648*c**2 + 22248*c = 0.\nAnswer: -6, 0, 1\/4, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ccyceyqvc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002602178439 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 11 (b) 0.2 (c) 1 (d) -397.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*r - 34. Let n be (45\/(-10) + 0)\/(r\/12). Let w be 10 + -10 - (-2 + n\/8). Which is the closest to 6? (a) w (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24312707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/15)*u**(-3))\/(u**0)**(-30\/13) assuming u is positive.\nAnswer: u**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*b + 957 = 0, -2*b = 5*s - 0*b - 1626. Let r = s + -322. Solve t = -r*d, -d = d - 2*t - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -10120222?\nAnswer: 10120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110010110111011110010001 + 1100?\nAnswer: 11110010110111011110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7*y + 16 = 0. Solve -4*u = -4, y*r = -0*r + 4*u - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11434244 (base 5) to base 14.\nAnswer: -2b883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -11*i**2 + 341. Let a(c) = 12*c. Calculate a(s(x)).\nAnswer: -264*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 1128335*t - 5641680. What is r(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 10 + 13 + 2 - 5*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5779350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*(-7 + 55 - 54)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -9359.\nAnswer: 2\/9359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times -0.1278?\nAnswer: 0.008946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*580\/406\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*x - 15*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + 4*z + (0*z - z + 3*z)*(-2 + 1 + 2) + 0 + 0 - z - 4*z + 2*z + 4*z)*(-14*z + z - z).\nAnswer: -56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39856384251 + -39856384271.470001183. Let c = v + 20.47. Round c to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 377*l + 20025. What is n(-64)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*f - 42 - 94*f + 47*f)*(2*f - 3*f + 0*f).\nAnswer: -3*f**2 + 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*p + 120 = p, -5*p = 2*v - 70. Let o = v - 29. Is 211\/(-1)*(3 + o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -50. Let k = 67 + a. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -212, -428, -646, -866?\n\"Answer: -b**2 - 213*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39*(1911\/117)\/(-49)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*p + 1 + 6 + 122*p)*(9*p - 9*p + 5*p**2).\nAnswer: -15*p**3 + 35*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 110440 divided by -22088\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y**2 + 3*y - 31. What is k(6)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 + 4*s + 6. Let r(p) = 6*p**2 - p + 2. Let k be 0 + 0 + 18\/9. Let o = -1 + k. Let a be r(o). What is j(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51935177*p**4 - 6*p**3 - 214611*p**2 + p - 42?\nAnswer: -1246444248*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5*d**2\/2 - 42*d + 29. Let x be f(-9). Solve 2*b = -x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1325*-2.2\nAnswer: -0.2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:29 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (39\/(-117))\/(7\/(-2)). Solve 0*c - 2\/21*c**5 + d*c**3 - 2\/21*c**2 + 2\/21*c**4 + 0 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 78 - 409 = -3*p, 3*p - 347 = -2*v. Suppose 4*g - p = 15. What is the remainder when 61 is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.812941 to two decimal places.\nAnswer: 23.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbmgmbassmjss. What is prob of picking 1 j, 1 b, 1 m, and 1 g?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:15 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuc when three letters picked without replacement from {u: 3, f: 1, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 divided by 15?\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -23938219.23+-5.4982\nAnswer: -23938224.7282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1\/26*i**4 + 2 - 16\/13*i - 12\/13*i**2 - 4\/13*i**3. Factor r(c).\nAnswer: -2*(c + 2)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23022, 46044, 69066, 92088, 115110, 138132?\nAnswer: 161154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -349 - 281 + 695*q + 630 to the form t*q + x and give t.\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**3\/3 + 5*n**2\/2 - 3*n - 2. Let z be u(4). Suppose 0*c + 2*c + 3 = t, z = 4*t + 3*c. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from debadabee. Give prob of sequence eab.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1749 - 27815?\nAnswer: -26066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 4*c**2 + 3*c + 4. Let a be g(3). Suppose 12 = i - a*w, 7*i - 108 = 2*i - 4*w. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 49 = -k. What is the second derivative of -43*t**4 + 7*t + 53*t**4 + k*t wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**2 - 3*k + 1575. Let h be (-2 + 10\/3)*-3. Calculate g(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w - 50. What is the least common multiple of l(-5) and 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5193*w - 135047. Calculate a(26).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -5*m**2 + 1. Let w(t) = 64*t**2 + 62*t**2 + 60*t**2 + 63*t**2 - 311*t**2 + 54*t**2. Calculate x(w(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1089)\/(-22))\/(-33)*-1*(-4)\/(-87)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 797765861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601315271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ururrip. Give prob of picking 1 u, 1 p, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1127650847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80358569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/8 (b) -0.5 (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112\/3*r + 2\/3*r**4 - 4*r**3 - 2*r**2 - 32 = 0 for r.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/6 - 11*d. Let c(b) = -4*b - 14. What is z(c(v))?\nAnswer: 32*v**2 + 224*v + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 1\/12*y**4 + 0*y**3 + 0*y**2 - 56*y + 0. Let r(d) = -17*d. Determine x(r(b)).\nAnswer: 289*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614455305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -1. Suppose -5*u + l = -245, -5*l = p*u - 57 - 139. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 2*o + o)*(-13 - 12*o + 13) + (1 - 4 + 2)*(11 + 3*o**2 - 11) to the form j + x*o**2 + q*o and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.99 and -0.027272?\nAnswer: -0.08154328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17 + -25)*((1 - 0) + -2). Let v = p + 6. Let t be (-21)\/(-27)*v\/(-49). What is the closest to t in -4, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - -4.03. Let y = -4.2400343 + r. Round y to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 129. Suppose -3*i + 87 = -4*a - 25, 0 = -5*i - 5*a + 210. Let r = c - i. Calculate the remainder when 20 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2089, 1\/5, -4, -5, 2\/13, -3\/2, -1\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/600 - 2*h**4\/5 + 53*h**3\/3 - 5*h**2 + 5*h - 5. Suppose q(y) = 0. Calculate y.\nAnswer: -106, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.93 - -0.07. What is the closest to 0.1 in x, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(-9*c**5 - 155*c**5 - 317*c**5 - c**5 - 2*c**5 + 5*c**5 + c**3 + 2*c**5 - c**3 + (-3*c**4 - c**4 + 6*c**4)*(2*c + c - c)).\nAnswer: 946*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 6*h + 13*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.049179*-2186.\nAnswer: 107.505294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 197*r**2. Let p(h) = 2*h. Calculate l(p(o)).\nAnswer: 788*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(4\/9)*x\/x**(-5)*x\/((x**(6\/11)\/x)\/x)*(x\/x**(-2))\/x*(x\/x**5*x**3)**(1\/6) assuming x is positive.\nAnswer: x**(2147\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -45. Let z be 1 + (-4)\/i + (-1)\/(-5). Suppose z*y + 13 = 3*b + 205, -96 = -y + 2*b. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)\/sqrt(275))\/(sqrt(32)\/(1*sqrt(4))) + 1)**2.\nAnswer: 2*sqrt(5)\/5 + 6\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/385)\/(15*1\/21).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 215765210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1 + 7 - (24 - 112)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9 - (-62)\/6. What is the third derivative of 0 + 2 - a*u**4 - 7*u**2 - 2 wrt u?\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 6) in base 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 490*n - 12005.\nAnswer: -5*(n - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69 + -21. Suppose 3*c = 1 + 14. Suppose -2*y + 23 = 3*n - 34, 0 = -3*n - c*y + o. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 + 2*a**3 + 0*a**3)*((-a + 2*a - 3*a)*(3 - 4 - 1) + 0*a + 0*a - 2*a).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 - 2*z**2 - 6*z**2)*(-3*z**3 + 0*z + 0*z) + 143*z**2 - 143*z**2 - 19*z**5.\nAnswer: 5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 13*y**2 + 13*y**2 + 2*y. Let g = 52 + -37. Let f(i) = g*i - 4*i**3 + 11*i**3 - i**3. Give -2*f(a) + 15*x(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*y = -2130, 5*v - 10710 = -24*y + 21*y. Suppose 53*q + v = 56*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9 - 16*d**3 + 87 + 10 with respect to d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*v - 17, -a - 7*v = -2*v - 35. Let u be (2 + -1)*-5*-2. Suppose -5*i = -a + u. Solve 0*y + 5*l + 28 = i*y, 5*l = 4*y - 29 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 9*n - 2. Let q(x) be the second derivative of x**5\/20 + x**4\/4 - x**3\/2 + 40*x. Let r be q(-3). Calculate y(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1097157, -2194314, -3291471, -4388628, -5485785?\n\"Answer: -1097157*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 51\/21 + (590\/70 - 8)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 - 148. What is the third smallest value in d, 0.1, 2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4934.3g?\nAnswer: 4934300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25176 + 25174. Let q(k) = -2*k + 2*k**2 - 3*k**2 - k**2 - k**3 - 3. Let i(y) = -y**2 - 2*y - 3. Let b(n) = 4*i(n) - 3*q(n). Calculate b(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6051 rounded to the nearest one hundred?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven halves of a minute?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 - -86.98. Let h = 19.02 + t. Let s = -22 + h. Which is the fourth biggest value? (a) 1 (b) 0 (c) s (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002329755 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/36, 192, -2.61?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.7 + 12. Let k = 4.5 + -4. Let d = k - 0.3. Put g, d, 0 in descending order.\nAnswer: g, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5313 + 33632. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1415 - 380. Suppose 7*s + 3*a - 621 = 4*s, 5*s - 3*a = g. Suppose 2*n = 1381 + s. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(6\/4*(-18)\/81).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -4583.\nAnswer: 1833.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 5:07 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 9 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 85467?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1652081*3.\nAnswer: -4956243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 2*x = 6*x. Solve 5*g + 7 + 18 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = m - 2. Let z = m - 5. Are -1\/11 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 2:40 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from waaawa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -6105*p**3 - 259*p**2. Let i(f) = -71*f**3 - 3*f**2. Give 518*i(d) - 6*t(d).\nAnswer: -148*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let s(y) = 3125001*y**2 + 2*y. Let o be s(v). Suppose 0*l + 2*l = 5*q - o, -5*q - 4*l = -12499984. What is q rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39657, -158556, -356703, -634098, -990741, -1426632, -1941771?\n\"Answer: -39624*f**2 - 27*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.188 - -0.812. Let l = -1.5 + 1.32. Which is the biggest value? (a) y (b) l (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = -5*n. Suppose 5*u + 5*d = 50, -4*u = -7*d + n*d - 12. What is the tens digit of u\/(-2)*(-19 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 2\/3*s**3 - 2*s + 1\/12*s**4 - 7\/2*s**2 + 0. Let b = 65 - 70. Calculate q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 7, t: 1, x: 10}. Give prob of sequence ffxt.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22995555 is divided by 1987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2076, -2948, -3820, -4692, -5564?\nAnswer: -6436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 2:48 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-13) + 20\/(-130) - (-354)\/590?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 6b62?\nAnswer: 6b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 41 + (85 - 151 - -101)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l - 124 + 14 = -140*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l. Suppose -4*u + 2*f = -l*f - 18, 0 = -u - 4*f - 9. Let v(b) = -b**3 + 376574 - 376578 - 3*b + 0*b**2 + 4*b**2. What is v(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*y + 114*y + q - 9735 = 0, y - 3225 = 3*q. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*(-8)\/(-114)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -82*359\nAnswer: -29438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11678298*t**2 - 94548363*t?\nAnswer: -23356596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 157. Let x(g) = g + 55. Let s(h) = -6*l(h) - 17*x(h). Let y(b) = -2*b - 3*b + b + 6. Determine 5*s(z) - 6*y(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2. Let o be n(-1). Let k(l) = -l**o - l**2 + 0*l**2. Let s(q) = -23*q. Let t(p) = 8*p. Let b(g) = -6*s(g) - 17*t(g). Give b(k(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7660, 13915, 20170?\nAnswer: 26425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w**3 + 9*w**2 - 86*w + 208. Calculate a(3).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 44, -4 in increasing order.\nAnswer: -4, -2, -1, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168722416 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -96 + -37 + 75.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 542303272 to the power of 1\/3, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111011110010110 + -10?\nAnswer: 11111011110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 2\/3, 4617?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 1, t: 1, r: 1, y: 1}. What is prob of picking 1 u and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*h**3*r + 11*h**3*y - 20*h**2*r**2 + 5*h*r*y - 83*h*y wrt r.\nAnswer: -5*h**3 - 40*h**2*r + 5*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -47*u**3\/2 + 111*u**2 + 2*u - 12. Differentiate v(a) with respect to a.\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12350 + -11000. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*f**4 + 15*f**4 + 21*f**4 + 18*f**4 - f**3 - 5 + f - f**2 to d*f + h*f**4 + a*f**2 + y + q*f**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 3*r**2 + 1\/2*r**3 + 0 + 1\/40*r**5 + 3\/16*r**4 + 0*r. Factor n(b).\nAnswer: 3*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -795470 rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643 + 619 = 4*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (603\/402)\/(9\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/6*(-6)\/(-6)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 83\/3*p**3 + 5 + 15*p**2 - 10*p. Find the first derivative of c(t) wrt t.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -84 - 3869*o + 24 + 30 + 30 to the form a + j*o and give j.\nAnswer: -3869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*k**2 - 1 + (-2 + 0 + 0)*(4*k**2 + k**2 - 3*k**2) + (-1 + 1 - 1)*(5*k**2 - 2*k**2 + 0*k**2 + (2 + 2*k - 2)*(-2*k + 3*k + 0*k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsn when three letters picked without replacement from plsknxp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + 90\/(-12))\/(3\/(-70)). Let o be (-2)\/5*25\/r. Let d = -1\/19 + -25\/247. Sort d, 0.9, o.\nAnswer: o, d, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 13*f**2 + 30*f + 21. Let c be m(-15). Suppose 18*q = c*q - 1470. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 29*f - 22 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*j + 2*j**3 + 0*j**3 + 36*j to the form k + t*j**3 + s*j**2 + o*j and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -687 + 1821. Is 81 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*u = 127*u - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 0*t + t + (-2 + 6 - 2)*(5*t - t + 0*t) + (0 + 1 + 0)*(-3*t + 0 + 0) - 4 + 2*t + 4.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-133)*14 + (-32030)\/(-38). What is the first derivative of -1537*m**3 + z*m**3 + 817*m**3 - 127 wrt m?\nAnswer: 369*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 9*f + 102. Let s = f - 28. Let h(i) = -i**3 + 6*i**2 + 4. Calculate the smallest common multiple of h(s) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/4 - (-5 - 4046\/(-704)). Let v = s + -4581\/1760. What is the common denominator of v and -97\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**20*b*b\/(b*b**(1\/14))*b**(-1\/6)*(b**(7\/8)\/b)\/b assuming b is positive.\nAnswer: b**(-3253\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -745*f**5 + 3626*f**2 wrt f?\nAnswer: -44700*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**7\/210 - w**5\/60 + 5*w**3\/3 + 1. Let l(r) be the third derivative of o(r). What is the second derivative of l(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 12. Suppose 5*o = -u - 2, -5*u + 7 + c = -4*o. Let k be (15\/6 - 3)\/(o\/22). What is the highest common factor of 88 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365*j + 2477 wrt j.\nAnswer: -365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - (sqrt(1088) + -2 + sqrt(1088)))*-1)**2 + (4 + sqrt(51)\/sqrt(3) - (sqrt(136) + sqrt(136)*-1)\/sqrt(8)) + 5.\nAnswer: -31*sqrt(17) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000237460323 to 6 decimal places.\nAnswer: -0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(99) + ((sqrt(99) - (4*sqrt(99)*-2 + sqrt(99))) + sqrt(99) - sqrt(99) - sqrt(99)) - sqrt(99))\/sqrt(9) + ((0 + sqrt(1331))*3)**2).\nAnswer: -11984 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 5. Suppose l - 6*l = -55. Let w(s) = -3*s - 9 + 0*s - 3*s + 8*s. Give l*k(r) - 6*w(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-1) - (0 - -2). Suppose p + 2*v - v = x, 0 = 4*p + 5*v. Let u(t) = 3*t**2 + 2*t. Let g be u(-3). Solve -2*q - g = 5*a - q, p*a = q - 29 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o - 3*v + 17, 3*o - 3*v = 9. Solve -o*i = -1 + 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -891911*r**3 + 130180*r**2.\nAnswer: -5351466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219 and 121764.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -14*f + 128. Suppose -v + 13 - 12 = -4*p, -4*v - p = -38. Let q be n(v). Solve -2*m + 0*m + 4*o + 20 = 0, -8 = q*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.212 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/11 (b) -3 (c) 693362\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-2 + 8 - 11)) + -2 + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + k + 21. Let d be z(0). Find the common denominator of (d\/(-1148))\/(2\/132) and 1*((-676)\/80 + 4).\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/90220 and -63\/34700.\nAnswer: 451100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 376*b. Let k(q) = 2*q**2. What is n(k(z))?\nAnswer: 752*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121202110 - -2010011220?\nAnswer: 2201221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**6))**9\/(j**14*j*j\/(j\/j**(7\/4))*j))**(1\/8) assuming j is positive.\nAnswer: j**(-323\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368658578?\nAnswer: 2, 5689, 32401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4\/2 + 227*j**3\/2 + 14953*j**2\/2 - 480275*j\/2 - 247500 = 0. What is j?\nAnswer: -72, -1, 25, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 31. Determine v(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4211 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28 - 24 + 659*f + 68 - 16. Let v(h) = h**2. Give g(v(i)).\nAnswer: 659*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 387894988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31135 - -5?\nAnswer: 31144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 2*u**3 + 0*u**3)*(6*u**2 - 5*u**2 + 14*u**2) + (1 + 1 - 1)*(5*u + 3*u**5 - 5*u).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12869130 - 3769130. Round q to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*t + 15078 + 11971 - 4251 = 545 for t.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4)\/42 - (-4)\/(-6). Which is the closest to i? (a) -2 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 7, -92 in ascending order.\nAnswer: -92, -6, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 53 = 4*w - w, -w - 84 = 8*k + 47 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**21*(q**3)**(22\/3) assuming q is positive.\nAnswer: q**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.954 + -0.046. Let p = z + 49.4. Let t = -7.4 + p. What is the second biggest value in -1\/6, 7, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 6 + 6)*(4*i**2 - i**2 + i**2)*(-3 - 3*i + 3)*(-3 + 3 - 2)*(3 + 2 - 1) to m*i + z + k*i**2 + a*i**3 + u*i**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 62 = 10. Suppose -x*q + 4*o - 958 = -2670, 3*o = -2*q + 876. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29071 + 163?\nAnswer: -28b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97616011\/3 or 32538671?\nAnswer: 97616011\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**7\/6 + r**3 - 2*r. Find the second derivative of l(a) wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 47884*b\/7 + 286609682\/7.\nAnswer: 2*(b - 11971)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7672522660244804*k + 2*k**2 + 7672522660244805*k.\nAnswer: 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -19*l - 22. Let x be s(-4). Let b = 56 - x. Solve -2*z = 4 + b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9. Let d be x - 1 - (3 + -2). Let q = d - 5. Let v(l) = -8*l**3 - 4*l - 5. Let y(z) = 15*z**3 + 7*z + 9. What is q*y(k) - 11*v(k)?\nAnswer: -2*k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61846 - -14232. What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3569*0.1\nAnswer: -356.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6776087 and -0.1?\nAnswer: 677608.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -9. Suppose t*q = q + 975. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 20700 = 36*u - 37*u. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*z + 6216026, -6*s + 5*s = -2. Suppose -a = 2*u - z - 66798, 0 = 2*u - a - 1309998. Round u to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 10. Suppose 2*i - z = i. Solve 0 = -a - 5*b - i, 4*a + b = a + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1347573*m - 14823309. Give f(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 2. Let u(c) = 7*c - 4. Let k(n) = -5*h(n) + 2*u(n). Let x(s) = s**2 + 4*s + 1. Let j be x(-5). Determine k(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 3, u: 4, c: 1, d: 5, s: 3}. What is prob of sequence ca?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 207 + 68*m - 66*m.\nAnswer: 2*m - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 882570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 48, 8, -118, -324, -604, -952, -1362, -1828?\n\"Answer: g**3 - 49*g**2 + 100*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 3*a**2 + 184*a + 53. Let r be h(-12). Suppose 0 = 8*v - 3*v + 25. Let u = 7 + v. Solve -1 = 4*c - 3*c - r*k, 0 = -u*c + 5*k + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2819171 divided by 431.\nAnswer: -6541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/(13*7\/(-21))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 1993*h**8\/56 - 331*h**4\/4 - h**2 + 986*h - 2. What is the third derivative of v(z) wrt z?\nAnswer: 239160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148934 divided by -659.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 11 - (-16 - -54)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720 divided by 544.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/3)*o*o*o**(-3\/2)*o)**(-30)\/((((o\/o**1)\/o)\/o)**(17\/5)\/(o**(-5)\/(o*o\/o**(-4)))) assuming o is positive.\nAnswer: o**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - -1)) + -13 - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/((-90)\/(-39))*3 and 41\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 48416a3?\nAnswer: -4841699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 8. Let n(y) = y - 3. Let w(m) = 2*j(m) - 7*n(m). Let d(k) = 53 - 101 - k + 44. Determine -4*d(p) - 3*w(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 9)*(-12*z - 14*z + 32*z)*(2 - 6 - 33).\nAnswer: 2442*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -1\/24*i**3 - 1\/168*i**7 - 1\/8*i**2 - 1\/120*i**6 + 0 + 13*i + 1\/40*i**5 + 1\/24*i**4. Solve p(y) = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200401 (base 7) in base 13?\nAnswer: 1250b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7564*x**2 + 1 + 0 + 7545*x**2.\nAnswer: -19*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 60*c**2 - 275*c - 15. Let y be k(-55). Let j(p) = p**3 + 13*p**2 - 30*p + 3. What is j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4)**(2\/43)*x**28*x*x**(1\/8)\/x)**(2\/11) assuming x is positive.\nAnswer: x**(9739\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -1\/3*f**3 + 3*f - 9\/2*f**2 - 1. Let y be t(-6). Solve -5*i + 10 = 5*p, -5*i + 3*p + y = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x + 7. Let p(b) = -8*b - 7. Let t(l) = 6*n(l) + 7*p(l). What are the prime factors of t(-13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57278709?\nAnswer: 3, 43, 89, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 1\/3*r**3 + 1\/24*r**4 - r**2 + 0*r + 0. Let t be (9\/15)\/((-9)\/(-30)) - -1. Determine y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 1, j: 2, h: 1, p: 1, w: 1}. What is prob of sequence hb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -9\/301953206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 7*f - 3. Let l be k(8). Let t be 7\/(-5) + 2\/l. Let h be -2*(3 + -3 + t). Calculate the highest common divisor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/151 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -798\/105611 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**2*k*p + 14*d**2*k - 730123*d + 5*k*p + 6854772*p wrt d.\nAnswer: 2*d*k*p + 28*d*k - 730123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*m = 2*g + 1, 0 = 3*m + 3*g - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**5\/90 - u**4\/18 + 2*u**2 - 4*u. Let h(m) be the first derivative of k(m). Find t, given that h(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 21 - (6 - 18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:23 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 15 + 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92.8206 - -0.0794. Let x = -93 + v. Which is the second biggest value? (a) -1\/9 (b) x (c) -1\/3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*p + 2*p - 4*p as r + j*p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/2)*k)\/k*k**(1\/7)*(k**(-8)*k)\/(k\/k**(2\/5)) assuming k is positive.\nAnswer: k**(-487\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2484 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -12. Suppose -2*c = -r + 11, 5*c + 26 = -3*r + k*r. Is r\/(3\/750) + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 5:52 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4443 or -4441?\nAnswer: -4443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3) - (25 - ((-71825)\/(-234))\/13).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/(630\/(-14)))\/(20\/26).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 20778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 8\/11, 2, -17?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 745 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 - 5*i**2 - 7*i**3.\nAnswer: -7*i**3 - 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120167 + 0?\nAnswer: 120167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3\/4)*k)\/k)\/k)\/(k*k**(-8))*(((k\/(k**2*k*k))\/k)\/k)\/(k**(2\/37)*k) assuming k is positive.\nAnswer: k**(-119\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 416\/15 - 58\/15*u + 2\/15*u**2.\nAnswer: 2*(u - 16)*(u - 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, f: 3, c: 2, m: 3}. Give prob of sequence mv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/18 and -101\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 10*q - 1. Let n be o(-4). Let l = n - -41. Suppose l*c - k + 101 = 5*c, -2*c + 3*k + 37 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 264\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/(10 + 12\/(-9) - 8). What is the fifth biggest value in u, -1\/10, 5, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - -3. Let z(s) = 22*s**2 + 2*s - 4. What is the remainder when n is divided by z(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.16 (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 504\nAnswer: 4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.123, -0.1, -0.16?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**2 - d + 4. Let y(c) = 7*c**2 - c + 5. Let m(f) = -29*f + 788. Let g be m(27). Calculate g*y(s) - 6*i(s).\nAnswer: -7*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 - 140. Let g = r + 321. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 13 = -2*q. Let l = q + 1. Calculate the smallest common multiple of l and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 - k**4\/4 + k**3\/2 + 2*k**2 - 43*k. What is y(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72360 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 663277 is divided by 752?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 23270 + 16667 = 13*c, 4*c - 2*b - 12284 = 0. List the prime factors of c.\nAnswer: 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*o**4*p**3 - 11*o**3*p**3 - 1225*p**3 wrt o.\nAnswer: 224*o**3*p**3 - 33*o**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10874, -21733, -32594, -43457, -54322?\n\"Answer: -u**2 - 10856*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 27 = 3*q, 5*w + 14*q + 1 = 10*q. Suppose 0 = -4*x + 3*h - w + 106, 3*x = 3*h + 75. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4519119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 540*((-132)\/(-20) - 5). Suppose -3*a + 182 = 4*c, -3*a = -5*a + 5*c + 83. Calculate the highest common factor of a and o.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1312 greater than -1313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -439754 + -12?\nAnswer: -439766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -36*w**3 - 63*w**2 - 4*w + 2. What is the remainder when 1408 is divided by z(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*y + 222*y = 4*g + 12, 5*g + 2*y + 33 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 126*t - 3969.\nAnswer: -(t - 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*o + 2834, 2*n + 21*o - 24*o - 1415 = 0. List the prime factors of n.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*k + 20 = 3*k, 2*i = -5*k + 25. Suppose r = -5*h + 11, -5*h + 7 = -3. Let g = i + r. Which is smaller: g or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 371 + 253. Is 48 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*p**4 + 49*p**4 - 5*p**4)*(2*p + 0*p + 2*p).\nAnswer: 68*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5376082 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-9)\/21 + 50\/7. Let z be (2 - (-1 + 1)) + 2. Are w and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5996.11 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -114.011 + 114. What is m rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.58143 years in millennia?\nAnswer: 0.08458143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408516.\nAnswer: 2, 3, 59, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12201210 (base 3) to base 12\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 - 61 - 5*u**2 - 33 in the form y + b*u**2 + f*u and give y.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)*(u*u**6)\/u)\/(u**7*u*u**9) assuming u is positive.\nAnswer: u**(-145\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8*-4*-1. Which is greater: -0.2 or y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 7 (b) -4\/7 (c) 23 (d) 0.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 2*u**5\/5 + 9*u**4\/4 - 42*u + 30. Find the first derivative of p(c) wrt c.\nAnswer: 8*c**3 + 27*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/7 or -122?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2. Let v(r) be the second derivative of -r**3\/6 + r**2\/2 - r. Let i(u) = -u**2 + 3*u**2 - 5 + 4 + u. Let z(y) = -i(y) - v(y). Give z(w(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3199 - 2309 + 806 - 2743 + 309)*(z + 1 - 1) as w*z + g and give w.\nAnswer: -7136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1412 = 202*n - 124*n + 538 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - 5*2\/8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.96 - -4. Let l = -24.56 - -25. Let t = y - l. Which is the closest to 4\/5? (a) 0.5 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2880 and 5000?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/381 (b) -1 (c) 1\/4 (d) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 772 - 432. Let m be 2\/(-12) + f\/24. Solve 4 = -5*j + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 6 + 2*b**2 - b**2 - 5*b - 2*b**2. What are the prime factors of l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7474695953?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 19*z + 16 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 48*8\/(-42).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32271 = -1349*l + 308*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l**2 + 2*l**2 + 0*l**2 - 4*l + 4*l + l**2 + (-l + l + 2*l)*(-l + 0 + 0))*(7*l + l - 9*l).\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 19334*d - 19334*d + 38668*d.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 71*g - 80*g)*(-5 - 10*g**2 + 12*g**2 + 18).\nAnswer: -302*g**3 - 1963*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-20))\/((-20)\/16 + 2). Let n = 72 + -67. Which is the second smallest value? (a) -2\/7 (b) z (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087.578 litres in millilitres?\nAnswer: 3087578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-4 + 3 + (1 + sqrt(98) + sqrt(98) - sqrt(98))))**2.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fififiiiifiim. Give prob of picking 1 f and 1 i.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -47015.24 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.071, -6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1978 is divided by 74.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 355*q**4 + 17*q**2 + q + 17. Let u(l) = 2*l**4 - 2*l**2 + l - 1. Let t(b) = i(b) - u(b). What is the third derivative of t(y) wrt y?\nAnswer: 8472*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -87. Let y(n) = z*n**2 - 14 + 12 - 63*n**2. Let p(o) = 13*o**2 - o + 8. What is -2*p(j) - 9*y(j)?\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -34, -1.52, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - -16 - 1*3. Suppose -11*o = -h*o - 7380. Suppose 5*b - 2*z - 2463 = 0, -3*b = 3*z - 6*z - o. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89a56 (base 11) in base 5?\nAnswer: 13133003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50108 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 1394*d - 1397*d = 132, 0 = -28*c + 2*d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-5) - (6 + -8). Suppose c = -l + 3, -6*b + b = 2*l - 1636. List the prime factors of b.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 646? (a) 2\/5 (b) 13.38 (c) 2\/11 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 6 + 3 + 67*g - 31*g.\nAnswer: 36*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 276022\/398325 - -2\/5311. Let y = j + -2\/75. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 107 = 4*b, -3*b - 5*q + 29 = -0*b - 92 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1634217 or -1634215?\nAnswer: -1634215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 17*b - 27. Let p be (328\/902)\/((-4)\/22). Let v be i(p). Determine d, given that 6\/7*d**2 + 2\/7*d**v + 0*d - 8\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 9. Let h be 1 + (1 + -2)\/z. Which is bigger: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 7*w**2)*(3 - 5 + 0 + (5 + 0 - 3)*(3 + 3 - 8) + 3 - 2 + 0).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - n**2 + 5 + 6 - 15.\nAnswer: -2*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-306)\/12)\/(1\/(-6)). Let p(w) = -w - 74 - 78 + n. Give p(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*((h*h**1)\/h)\/h)**(41\/3)\/(h**6\/(h*h**1)) assuming h is positive.\nAnswer: h**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eezs when four letters picked without replacement from zrreeosrrsrrrrrre.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/21)*a\/(a\/(a\/a**(-2\/29)*a*a)*a)*a\/a**(-7)*a**17 assuming a is positive.\nAnswer: a**(16427\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2617 - -2817. 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: What is the ten thousands digit of 454988606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 55122.\nAnswer: 10473180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -19878*n + 10077976 - 10077976 in the form s*n + m and give s.\nAnswer: -19878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 226 - 188. What is the remainder when 110 is divided by f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*w**(-6)*w\/w**(-6)*(w\/(w\/w**(-3)))\/w)\/((w*w**0\/w)**(-45))**(-4\/5) assuming w is positive.\nAnswer: w**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1863.67646 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 - 22\/99. Let s = q - 11. Let d = 21 + s. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1070? (a) -0.162 (b) 3 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*p = 32*p - 108*p + 381. Solve i = 4*v - 16, p*v - 24 = -3*i + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((30 - 12) + -31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k - 366. Let f be u(20). Sort f, -4, 13 in descending order.\nAnswer: 13, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 29*k**2 + 67*k - 307. What is z(27)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1, 0.3, 11, -2\/1093?\nAnswer: -2\/1093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 207*g**2 - 195*g - 195. What is c(68)?\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 0, -5*k - o + 9 = 3*o. Suppose -2*y + 3 = -k. Let l be (5\/(-3))\/((-1)\/(-3)). Put l, 5, y in increasing order.\nAnswer: l, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/54)\/(20\/6). Suppose 13*j - 11*j = -5*r - 23, 5*r + 22 = -3*j. Which is the nearest to 18\/5? (a) 2\/5 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6895*n**2 + 2328*n**2 + 1101*n**2 + 2221*n**2. Let w(h) = -h**2. Give a(w(i)).\nAnswer: -1245*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/12*17*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -1.54. Let y = -1.31 + m. Let r = 0.090002 - y. What is r rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 8*x**2 + 7*x + 3. Let f be k(-7). Suppose f*t + 120 = -150. Let r = -629\/7 - t. Which is smaller: r or 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360300 to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2\/3 - 190*r\/3 + 120 = 0. What is r?\nAnswer: 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 7:37 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.039 rounded to 0 decimal places?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 39*y**2 + 227*y - 84. Let c be a(32). Sort 4, 5, c, -1, -2 in increasing order.\nAnswer: -2, -1, 4, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 5*k. Let w(h) = -h - 1. Let t(z) = 5*z**2 - 9*z - 5. Let v(d) = -t(d) + 5*w(d). Let c = 10 - 6. What is c*l(i) + 5*v(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + u**5 + 0*u**5 + (-2*u**4 - u**4 + 5*u**4)*(-u - u + 4*u) + (-4 + 6 - 5)*(0*u**5 + 6*u**5 - 301*u**2 + 304*u**2).\nAnswer: -16*u**5 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 416708 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5*(-4)\/70)\/((-2)\/14). Suppose -9 - 3 = -o*w. Suppose 2*l - 16 = v + w, -v = -2. Solve -2*k - k + l = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6 and 13\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -18. Let q be 5\/2*(8 + u). Put -2, q, -3 in ascending order.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 - 92*g - 221. Let m be v(-28). Let p(k) = k**2 + 2*k - 4. Let q be p(4). Let x(d) = 4*d - 2. Let n be x(1). Solve -n*y - m*y + q = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -10. Is 21 a factor of (q + -6)*106\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (453 + -5 + -5 + 7). Let x = -254 - p. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 48, -2, -5, 0.2, 134, -4\/7?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfk when three letters picked without replacement from {k: 4, f: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 + 21*g**4 - 39*g**3 + 3*g**2 + 42*g - 24 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 56. Calculate the least common multiple of 34 and x.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076085935 rounded to three dps?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37609, 37507, 37391, 37261, 37117, 36959?\n\"Answer: -7*k**2 - 81*k + 37697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 2. Let b(q) = 15*q - 33. Let l(v) = -6*b(v) + 99*j(v). Let d be 2 - (-2 - -4)\/2. What is l(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2*a + 9. Let q be z(0). Suppose -5*t + 107 + 118 = 0. Calculate the greatest common factor of t and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -3 + -78 + 75 - 13\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -2\/15*n**3 - 9 + 8\/5*n - 4\/5*n**2 + 1\/10*n**4. Solve v(l) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1\/5, 0.7, 3, 2.5, 0.1 in decreasing order.\nAnswer: 3, 2.5, 0.7, 2\/7, 0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.034 at most -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -2. Let m(a) = 7*a**2 - 3 - 7*a + 0*a**3 - 2 + 9*a + a**3. Is m(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397 at least as big as 4860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70607, -70605, -70601, -70595, -70587, -70577, -70565?\n\"Answer: i**2 - i - 70607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/6 + (-8)\/24. Let x be (b\/15*-18*1)\/2. Calculate the remainder when -3*((-115)\/x + 4) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -73*i**2 - 11*i. Let c(b) = 7*b + 1 + 4*b + 22*b**2 + 52*b**2. Let u(o) = 4*c(o) + 3*m(o). What is the second derivative of u(q) wrt q?\nAnswer: 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23\/34 in 5, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 5:36 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l = -15*l + 10 - 66 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -112.73. Let h = 1.83 + l. Which is the nearest to h? (a) -0.5 (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) 4 (c) -1 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/16)\/((-17)\/(-18) - 1). Suppose -y = -14*w + 5*w. Let v be (-2)\/(-9) + 299\/234. Which is the second biggest value? (a) v (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4867100971 to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -248349.9 take away 4.1?\nAnswer: -248354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 4*n**2 + 2*n + 3. Let a be v(-4). Let o = a + 33. List the prime factors of (24\/14)\/(8\/o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15174 - -21823. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -623 - -566. Is k + 62 + 394*9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + t - 232 = -225, -2*t = -4*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 155 divided by 6\nAnswer: 155\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*k**3*q - 2*k**3 + 1467*k*q + 32736*k wrt q.\nAnswer: 63*k**3 + 1467*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2946*f = -11095*f - 622855 + 76872 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 150900270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**2\/2 - 2*m + 1. Let w be ((-6)\/24)\/((-1)\/4). Let z be h(w). Let s(t) = -2*t**2 - 1. Calculate s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.3 (b) 3 (c) -3 (d) -0.38 (e) -23 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-350)\/(-105) + (-1)\/3. Suppose -l = -5, -v*f = -0*f + 2*l - 124. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -26.92148, 0.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2066 - 333. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11439 - -35453\/3. Let y = 382 - a. Which is greater: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 978322*j\/7 - 139760.\nAnswer: -2*(j + 1)*(j + 489160)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1001 and -30\/5951?\nAnswer: 541541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 26*f = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Suppose z*b = -3*l + 2*l + 23, 46 = 4*l - 3*b. Suppose -4*s + l + 23 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 28. Let p = -18 + n. Let m be (p + -2)*3\/15*2. Solve -2 - 6 = -m*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -2202?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w + 83*w + 77*w = -4060 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 4922 = -33*q. Let h = q + -209. Solve 0*j - 4*m = j - h, -2*m - 2 = -4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5 - 126*v + 13*v**2 + 68*v - v**2 + 61*v. Let k(h) = -36*h**2 - 10*h + 16. Give -5*k(n) - 16*p(n).\nAnswer: -12*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18666*b**3 + 11*b**2 + 293*b + 2 wrt b?\nAnswer: 111996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-45)*(-1985)\/2. Let x = v + 66. Let i = -0.13 + 0.13. What is the second smallest value in x, i, 1\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 65, 4, -1.\nAnswer: -1, 4, 18, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -3. Suppose j - 9 = -4*d, a*d - 2*d = -4*j. Suppose d*o + 5 = 32. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 21. Solve -4 - 4 = g*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5099614 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, -256, 30, 6, -5 in decreasing order.\nAnswer: 30, 6, -4, -5, -27, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbtjbjjjjrrjrrj. What is prob of picking 1 r, 1 j, and 1 d?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 12*v**2 - 4125*v - 12463. Give x(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 77349, 3 in descending order.\nAnswer: 77349, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 12*r - 6. Let v be c(3). Is ((-1905)\/v)\/((-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10580.095 to the nearest 100.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268136 - 1513*x + 1692*x - 268136.\nAnswer: 179*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 28 = 0, -3*s - 1597 = -w - 18077. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:12 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2809, 22444, 75753, 179578, 350761, 606144, 962569?\n\"Answer: 2807*l**3 - 5*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4)\/j)**23*(j\/((j\/(j*(j*(j\/(j\/j**(2\/11)))\/j)\/j*j*j))\/j))**(-49) assuming j is positive.\nAnswer: j**(-703\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 1439 = -67*t. Calculate the smallest common multiple of 669\/12 + (-2)\/(-8) and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 38950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*q + 361 = 0, q + 15 = -2*q. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90611 at most 724877\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 19 + 12 - (-5 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*j*w*x - c**3*j*x - c**3 - 2*c*j + c*w*x + 120*w*x wrt w?\nAnswer: -2*c**3*j*x + c*x + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5454, -21785, -48978, -87027, -135926, -195669?\n\"Answer: s**3 - 5437*s**2 - 27*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5) + 3 + sqrt(35)\/(sqrt(14)\/sqrt(2)) + (5 + sqrt(180) + 1)**2)*4 + -5 + -4.\nAnswer: 288*sqrt(5) + 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -2) + (0 - 4). Let n be z*(2\/(-39) + 0). Let u = 11 + -12. Which is the second biggest value? (a) n (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -138, -276, -414?\n\"Answer: -138*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179914927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + 3766\/63. Suppose -2*j = -5*j + s. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*b - 0*b + 6156, -4*b = -w + 1559. Let u = w - -508. List the prime factors of u.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1739*p. Let j(y) be the first derivative of -4*y**3\/3 + 2573. Determine j(d(w)).\nAnswer: -12096484*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 2505867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 80, 144, 230, 332, 444, 560, 674?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 11*c**2 + 31*c - 184. Give v(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 3*g + 6. What is the remainder when 1\/((-1)\/(-60)) + -1 is divided by m(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 772759\/4 - 193190. Let y = 10 + -6. Let w be 2 - 6\/y - 0. Which is the nearest to -3? (a) o (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 + 1756*s - 245. Determine i(-251).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1378?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (1 - 1). Let g = 3.29 + -3.2. Let m = g - 0.39. Sort m, 0, v in decreasing order.\nAnswer: v, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4150.086 centuries?\nAnswer: 41500.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 36, 43, 48?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -5 (b) 9\/7 (c) 0.5 (d) 11 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 + 136*l**2 - 300*l - 432 = 0. What is l?\nAnswer: -36, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2692.38 + -2662. Let p = k + -30. Let s = p - 0.3799989. Round s to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382420731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6495478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521213*f**3 + 126*f - 4498 wrt f.\nAnswer: -3127278*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/17 + 2*d**3\/17 - 16*d**2\/17 - 24*d\/17.\nAnswer: 2*d*(d - 3)*(d + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9302*k - 669825. Determine b(72).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6*i - 5416*h**3 - 19*h**2*i + 307*h**2 wrt h?\nAnswer: -240*h**3*i - 32496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 25 + 1 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-8)\/(-32))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:01 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6233861.\nAnswer: 937, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -3, 1.\nAnswer: -8, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 9*k + 24. Give u(12).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48300.32nm to meters.\nAnswer: 0.00004830032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 113750814 divided by 198518\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 12 = 3*q, 5*q + 12 = 5*g + 2*q. Suppose -o + 0*o + 1 = g. What are the prime factors of 0 - o - -2 - -5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*x - 29*x + 28*x - 35*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -215, -785, -1785, -3257, -5243?\n\"Answer: -7*v**3 - 173*v**2 - 2*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21953549.\nAnswer: 31, 708179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 0 + 0*d - 1\/60*d**5 + 1\/210*d**7 + 0*d**3 - 10*d**2 - 1\/24*d**4 + 1\/120*d**6. Let x(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m**2 - 62*m**2 + 31*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 348, 489, 630, 771, 912?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 37 - 9 - 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1092 = -219*o - 284*o + 680*o - 229*o for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75, 329, 1215, 2583?\n\"Answer: 241*d**2 - 319*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -274220?\nAnswer: 274218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -4369*f**7\/210 - 27*f**5\/4 - f**2 + 235. What is the third derivative of z(w) wrt w?\nAnswer: -104856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.04 + -0.6\nAnswer: -9.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7)*10\/(-8). Let b(q) = 19*q**2 - 37*q + 76. Let k be b(2). Suppose 0 = -65*m + k*m + 13. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/499 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (48 + -37) - -6 - 93\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3475904, 3475906, 3475908, 3475910, 3475912?\nAnswer: 3475914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**3 + 5*f + 3. Let i(j) = 66479*j - 66485*j + 13 - 5*j**3 + j**2 - 17. What is 3*i(r) + 4*t(r)?\nAnswer: r**3 + 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c**3 + 10*c**2 - 326*c + 1907. What is t(6)?\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0588 - 0.0588. Which is the third smallest value? (a) -5 (b) 1\/3 (c) -18\/7 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1) + (4 - -1). What is the highest common factor of 24 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 14*t - 19. Let h be v(12). Let y be ((-15)\/h)\/(-3) - (1 + 0). List the prime factors of 12\/3 + 50 + y\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2636*b + 1973. What are the prime factors of z(-27)?\nAnswer: 5, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (70 + (-626)\/7)*12\/(-32)\nAnswer: 51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:58 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2114710.\nAnswer: 2, 5, 13, 16267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 91618, 91225, 90832?\n\"Answer: -393*x + 92011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119361.60099 + -119424.6. Let k = 116 - 53. Let x = w + k. Round x 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 fth term of 483, 484, 485?\n\"Answer: f + 482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 23*g**2 - 20*g + 46. Suppose 133 = -9*k - 65. Let x be d(k). Solve -x*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/15 - -14) + ((-4298)\/315 - -10).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.079.\nAnswer: -0.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4912*f**4 + 80*f**5 - 4914*f**4 + 14728*f**4 - 4913*f**4 - 2*f**5 + 3*f**5 - 3*f**5 + (f**5 + 3*f**2 - 3*f**2)*(0 - 5 + 4).\nAnswer: 77*f**5 - 11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 5 + 8 + 4 + 3*z.\nAnswer: 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1234*u - 7582. Does 16 divide q(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1733.7 - 1734.5. Let v = -0.17 + 3.17. What is the nearest to 1\/2 in j, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 161, 262, 405, 590?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 18*d**3 - 273*d**2 + 837*d - 132 = 0.\nAnswer: 1\/6, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 21*l + 2*d - 4 = 0, 56*l - 114*l + 53*l - 2*d + 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y + y - 14*y + 100*y in the form z*y + h and give z.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1961*c = -1957*c + 8, 2*h - 3*c - 2*c = 1 + 51 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905355 is divided by 562.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 24. Suppose -3*d + 16 = 4*s, -1 = 4*d + 2*s - 9. Which is the second smallest value? (a) v (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 r when two letters picked without replacement from {r: 5, v: 6, e: 7, t: 1}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -0.17 (c) -9 (d) 5 (e) 4 (f) -11 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -103, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2346520*o**5*z - 5086479*o*z wrt o?\nAnswer: -46930400*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3 - 5484*n**2 + 21924*n - 21920 = 0.\nAnswer: 2, 5480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.01 (c) -2\/5019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -502*h + 493*h + 7. Factor -2\/19*v**h - 1352\/19 - 104\/19*v.\nAnswer: -2*(v + 26)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*p - 3*p**2 + 385*p**3 - 368*p**3 + 3*p**2 wrt p.\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -867 - -3043. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7061 = -15*v - 8*v. Let p = 296 - v. Suppose -c - q - 2 - 12 = 0, -3*q + 13 = -2*c. Is p greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 11629?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/123, 228267\/7?\nAnswer: 228267\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 31*y - 1\/48*y**4 - 1\/2*y**2 + 0 - 1\/6*y**3. Solve v(l) = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 3. Let z be (-9)\/(-12) - 2\/(-8). Let i(p) be the second derivative of p**3\/6 - p**2\/2 + 2*p. Determine z*s(y) - 3*i(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140 a factor of 1824031140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*r + 10*r + 44 + 11*r)*(-29*r + r - 35*r).\nAnswer: 63*r**2 - 2772*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 285 = y. Let u = 84 + y. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 4*z + 1337 - 553, 4*v = z + 799. What is the remainder when v is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m + 4*m - 2*m - 315*m**2 + 9*m + m as x*m**2 + u*m + k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*w - 30, -10*w + 6*w + 12 = -4*j. Solve 2*v + j = -0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 5*c**2 + 471*c - 2890. Calculate t(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 50*m - 3*m.\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 1. Let v(t) = -t - 1. Let k(i) = 6*i + 4. Let l(c) = -k(c) + 6*v(c). Let y(z) = -z - 1. Determine g*l(o) - 10*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133801, -133779, -133751, -133717?\nAnswer: -133677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1262250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*j - 2 + 15, -10 = 2*j - 3*b. Let p(y) = 18*y**2 - 1 + 4*y - 2*y + y**2. Let k be p(j). Solve -5*r + 0*r - k = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/12*(-3)\/2. Let n = 727.02 - 736. Let z = n + -0.02. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*107.4.\nAnswer: 2792.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8913387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1496293954*k**2 + 6*k**3 - 1496293954*k**2.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((1 - (-2 - -4)) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3191 - -3198. Let o(q) = -q - 2. Let d be o(-4). Suppose 4*v + w*t - d*t = 87, 0 = -v - 3*t + 27. Calculate the least common multiple of 2 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 42557*v - 42463*v. Find t, given that -2\/3*t**3 + 74\/3*t - 20 - v*t**2 = 0.\nAnswer: -10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1053 at most -295259\/280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 361248314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 1. Let r(o) = -2*o**2 + 2*o + 4. Suppose -2*g - 5*b + 32 = 0, -42*g + 46*g + 26 = 5*b. What is g*r(c) - 3*u(c)?\nAnswer: c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z. Let r(o) = 2*o + 4. Let a be r(-3). Let m(s) = -s**2 + s. Suppose -t = 4*t - 10. Give a*k(c) + t*m(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3907, 20134, 48683, 89548, 142723?\nAnswer: 208202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321 a factor of 13763499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1969 and 10.\nAnswer: 19690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 143*s. Let v(w) = 15*w. Calculate y(v(n)).\nAnswer: 2145*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 73829 (base 13) to base 10\nAnswer: 207905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 1235 = 2*c - 1265, 3*s - 16 = -2*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((2*sqrt(128)*-4)**2 - (sqrt(128) - (-5 + sqrt(128)*-2))) + (-6*(sqrt(128) + -1) - sqrt(128))*6).\nAnswer: -2160*sqrt(2) + 49338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-14))\/(7\/(-98)). Suppose r = 3*r - n. Calculate the common denominator of 71\/4 and r\/(-8)*118\/21.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/21 - 6340*f**2\/21 + 236826*f + 27068256\/7 = 0.\nAnswer: -16, 1593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19 - 1)*5*(-44)\/550. Solve -j - 2*j = -5*b - g, 5 = j - 4*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 4*s, s = -5*k + 3*s + 4. Let p = k - 119. Round p to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 + 24. Does s = -5\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5256 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -2\/5, -2\/13, 17, 1449?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ylzlzurn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by (-9)\/6*(-20)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wii when three letters picked without replacement from {t: 1, i: 2, n: 1, w: 9}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -55. Let w(o) = -20*o - 28. Let k be w(t). Let d = k + 189. Is d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-2067)*(18\/(-63))\/((-20)\/84)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*k - 18*k - 140 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Suppose -2*m + 4 = -2*n, -2*n - 3*n - 5*m = 40. Let v(g) = g. Determine n*d(k) + 3*v(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 - 3*q - 12. Let k(h) = -9*h**2 + 5*h + 20. Let y(g) = -5*f(g) - 3*k(g). Let r(c) = -541*c. Calculate r(y(o)).\nAnswer: -1082*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, p: 12}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 16. Let f(j) = -2*j**2 - 1. Determine f(m) + w(m).\nAnswer: -3*m**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:57 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2603360764?\nAnswer: 2, 41, 15874151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1157.0040376 - -1157. Round u to 4 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from {i: 1, y: 6, v: 4}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/10 - 3843*a\/10 - 1922\/5.\nAnswer: (a - 3844)*(a + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*o - 19*o + 35*o + 9 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*x + 8 + 9, -4*x - 5*z = 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 460\/(-75) - 124\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/62144 and 119\/1152?\nAnswer: 1118592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z*z**(2\/13)*z**7*z*z**(-1\/4))\/((z*z**(-4\/5))\/((z**(-3\/2)\/z)\/z*z)*(z**(1\/2))**(32\/7)) assuming z is positive.\nAnswer: z**(-5609\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76.008 - -76. Round q to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l. Suppose l = -5*o - 0*o + 3*g + 30, 3*o + g = 4. Find the third derivative of o*p**6 - p**2 + 3*p**6 + 0*p**6 + p**6 wrt p.\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5 + 7. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221975000 rounded to the nearest 1000000?\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 + 7\/2*l**2 + 7\/6*l**3 - 11*l. Differentiate p(u) with respect to u.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (114\/(-30))\/((-2)\/70). Calculate the highest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)\/(u\/(u**(-2)*u)*u*u))**(1\/9))**(-29) assuming u is positive.\nAnswer: u**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1672 + 1674. Sort 0.4, -0.1, p, -0.74 in increasing order.\nAnswer: -0.74, -0.1, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -57618055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-12))\/(8\/(-32))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 1, -13, -4, -2 in ascending order.\nAnswer: -13, -4, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140246002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 42768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Find the third derivative of -5*z - 3*z**5 + 5*z + p*z**2 wrt z.\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5 = -21, -j + 2*o = 13. Let m(t) = -t**2 - 6*t. Calculate m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 443 - -5\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, -5, 1554, 5\/7, 2\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 + 444\/24 + -7. What is the nearest to 1\/4 in l, 24, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -23*u**2 - 5*u - 6. Let l(r) = 34*r**2 + 6*r + 7. Let a(p) = -2*l(p) - 3*m(p). Let o(c) = 3*c**2 + 9*c + 13. Calculate -7*a(x) + 2*o(x).\nAnswer: -x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 1ed92?\nAnswer: 1ed8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + t = 50 - 14 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**4 - 56*u**3 - 246*u**2 - 366*u - 179. Let l(m) = -4*m**4 - 28*m**3 - 123*m**2 - 182*m - 89. Let w(v) = 10*l(v) - 6*t(v). Factor w(p).\nAnswer: 2*(p + 1)*(p + 2)**2*(p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 22 + 15 - 141 + 38 + 38 - l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fyiiyyffyyiifi. What is prob of sequence fyy?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1272*w**4 + 3*w**3 - 5*w**2 + 99085*w wrt w?\nAnswer: -15264*w**2 + 18*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(847) + 0)**2 - (4 + -1*sqrt(847))**2) + (-3 + sqrt(847) + (sqrt(847)*2)**2 - (-4 + (sqrt(847) + sqrt(847)*3 - sqrt(847))**2)).\nAnswer: -16 + 99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2973*v + 2900. What is d(-1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 178 + -177.9. Sort t, -3\/5, 0.3, 13\/8 in decreasing order.\nAnswer: 13\/8, 0.3, t, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = 4*x, 5*z + 5*x + 20 = -0. Let l(a) = -a**2 - 4*a + 8. Let d be l(z). Solve d*q + 5*y + 2 = -3, 5*q = 5*y - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*p + 4*p. Let v(y) = 3*y - 6. Is v(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 505.999573 + -506. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 6*v + 3*v + 99, g - 4*v - 43 = 0. What is the greatest common divisor of g and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/57)*g**2*g assuming g is positive.\nAnswer: g**(169\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/81, -2.8, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -489063498 and 0.14.\nAnswer: -489063497.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 45.8. Which is the nearest to 0? (a) -0.3 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2120?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6600 and 1584?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/((-2)\/12). Suppose -3*c - 2 + 17 = 0. Differentiate 3 - 3*g**4 + 9*g**i - c*g**4 wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let k = -41 + 43. Let a(r) = -148*r**2 + 73*r**2 + 82*r**k. Give x(a(b)).\nAnswer: -98*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1533\/126)\/(-73))\/((-5)\/((-400)\/(-12)))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 11*u**2 - 12*u + 5. Let b be l(-12). Suppose 56 = -b*n + 356. Let a = n + -36. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8627.0039398 + 8627. Round h to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 479 + -325. Let h = j + -161. Let i be ((-4)\/(-36))\/(1\/3). What is the second biggest value in i, 5\/3, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -9 (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1233, -5497, -15799, -35157, -66589, -113113, -177747?\n\"Answer: -503*w**3 - w**2 - 740*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from saaaaaasaaaaassssa.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9*i**2*i*i**7\/(((i**(-1\/3)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 69, -51, 437.\nAnswer: -51, 2, 69, 437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 426568.7 + -4143116.7. Let y = n - -3716547.95999983. Let f = 0.04 + y. What is f rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2. Let z be (2 + 1)\/(-9)*(-146 - -11). Let n(i) = -25*i - i**2 + z*i - 20*i. Calculate s(n(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -362\/3, -2173.\nAnswer: -2173, -362\/3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j)\/j*j\/(j\/(j\/j**(2\/43)*j)*j)*j assuming j is positive.\nAnswer: j**(299\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3464*o + 3465*o - 10396*o + 96 + 3468*o to z*o + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204313221 (base 5) to base 6.\nAnswer: 140100451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/134115487 or 0?\nAnswer: -3\/134115487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 7:49 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + r**3 - 7*r + r + r**3 + r**2 as i + j*r**3 + t*r + b*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(180) + sqrt(180) + sqrt(180)*2 - sqrt(180))\/sqrt(10) + -2*sqrt(882) + -4 + sqrt(882).\nAnswer: -4 + 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 6*o + 1625. List the prime factors of o.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(720) - sqrt(720))**2 + 1 - sqrt(720) - sqrt(720) - (1*sqrt(720) + -4) - (-4 + (4 + sqrt(720) + 0)**2).\nAnswer: -132*sqrt(5) + 2153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from bttbtbbbttbtbbttttb?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -572*v**2 + 1201 - 1114*v**2 + 384*v - 1202 - 379*v + 464*v**2 in the form u + p*v**2 + w*v and give p.\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 1.3. Which is the third biggest value? (a) -5\/2 (b) -1\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 251001.8 weeks?\nAnswer: 151805888640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000927 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*z - 312*z - 58*z - 3672 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26461 or 26459?\nAnswer: 26461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8900699 or -8900700?\nAnswer: -8900700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 345622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 26*k + 0*k - 295*k - 1 + 1 to the form b*k + n + l*k**2 and give b.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 13*q + 6. Determine t(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -4*o - 2*q, 3*o = -2*o - 3*q + 129. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27499294 is divided by 4583214?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*i + 16*i + 58087. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 14 = -2. Let y(s) = s**2 + 8. Let o be y(0). What is the greatest common divisor of o and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 + 85*u - 45)*(0 + 0 - 2*u)*(4*u - u - u).\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, c: 4}. Give prob of sequence ckkc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + ((-128)\/22 - -9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 9 = 3*z, 0 = f + 4 + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 133*b**2 - 549*b - 135. What is q(-137)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 - 138. Let f(h) = 96 + h**3 - 98 + 0*h**2 + m*h**2. Let q be f(-4). What is the highest common divisor of 368 and q?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3540 - 2386. List the prime factors of h.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -187, -172, -153, -130, -103, -72?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -644 - -b26?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d**2 - 160*d**2 - 120*d**2.\nAnswer: -223*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in -1, 0.2, 0.3, 1, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0922 + 507.0922. Let j = 508 - n. Which is the biggest value? (a) 0.1 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10330 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a factor of 799372126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101221221021 + 20?\nAnswer: 101221221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - 26. Let n = 40 + r. Let a = n - -107. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2. Let t(a) be the second derivative of 0 - 185*a - 79\/3*a**3 + 0*a**2. Calculate t(d(k)).\nAnswer: 158*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 6*j**2 + 2*j + 12. Suppose 821*n - 205 = 410*n + 452*n. Calculate d(n).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 8*w - 5*w - 75, 5*g + 4*w - 128 = 0. What is the remainder when g is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7444 is divided by 138?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87244338, -87244331, -87244322, -87244311, -87244298, -87244283?\nAnswer: -87244266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 + 94 + -19 + -17\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Simplify d**(-41)*(d*d*d*d\/(d**(-8)*d))\/d*(d**(22\/9)*d*d)\/(d**(-41)\/d) assuming d is positive.\nAnswer: d**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.263 + 0.237. Let h be 2\/8 + 7\/(-60). Let c = 11 - 6. What is the third biggest value in c, x, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0846 in -10\/3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21, 133, 329, 609?\n\"Answer: 42*c**2 - 14*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66126 - -1017?\nAnswer: -6510a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*i = 12, 0*r = 2*r + 5*i - 51. What is the remainder when 34 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -298 - -327. Is o at most -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2107962 divided by -4?\nAnswer: 1053981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 0 + 1)*(2 - 1 - 3) + 2 + 1 - 1 + 12 + 20 - 26)*(-2*f + 6*f - 3*f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 681987 and 5339?\nAnswer: 12957753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12269 and -1.\nAnswer: -12269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6960, 6958, 6956, 6954?\n\"Answer: -2*a + 6962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -97, 1 in increasing order.\nAnswer: -97, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 168*d - 375. Give k(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1887, 1894, 1901, 1908?\nAnswer: 1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391048 is divided by 1033?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 70779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - z - 7, -280 = -r - z - 287. Let q be (2\/(-7))\/(2\/3). What is the second smallest value in r, -6, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.2. Let o = 10 - 9.7. Let z = o - w. Which is the second biggest value? (a) 0.1 (b) z (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (16 + -22) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -432 in -0.5, -3\/4, -3, 0.1, -0.2, -883?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1870 and 2210?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18746882 and -91\/155331308.\nAnswer: 1087319156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2391 + 2368 + 75 + -1\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 765279 and 77637.\nAnswer: 5356953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435469821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -28, -94, -208, -382, -628, -958?\n\"Answer: -2*m**3 - 6*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -793204 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80707727 and 1.3.\nAnswer: 104920045.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(110)\/sqrt(10) - 3*(-3 + sqrt(396) + sqrt(396)))**2.\nAnswer: -432*sqrt(11) + 6417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19 + 3*y**2 + 11 + 49*y - 87*y**3 + 8*y + 46 + 3*y**4 + 0*y**4 wrt y.\nAnswer: 36*y**2 - 522*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -1 - 2. Let y(f) = -4*f. Let c(j) = -j. Let k(m) = n*y(m) - 8*c(m). Let a(l) = l**2. What is a(k(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 12:04 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.109415ml to litres.\nAnswer: 0.004109415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -637*y + 25676 + 6684 = -2741 + 703 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 3 = 11. Let g(q) = -2*q - 4. Let d be g(-3). Sort d, 5, l in descending order.\nAnswer: 5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 2. Let o be a(-2). Let b(u) = 26 + u**3 - 19 - 22. Give b(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 38*s + 3817. Let j(n) = -27*n - 3818. Let i(c) = 2*g(c) + 3*j(c). Suppose 0*x = -4*x. Let h be i(x). Round h to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8906 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5.6. What is the closest to 2 in n, 2\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1169.186 centimeters to millimeters.\nAnswer: 11691.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/25*(-60)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8801906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15686 (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 268 + -138. Let l be (-1 - -6)*n\/(-50). Let f(d) = 55*d - 5. Let q be f(l). What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 17*i - 69. Calculate q(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let c be f(3). Suppose 4*b - 2*h - 17 = c, -5*h - 10 = 0. Solve 1 = -v + b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**2 - 64490*g - 258040 = 0.\nAnswer: -4, 12902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 4.06. Let s = d + -4. Which is the second smallest value? (a) 1 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l + l. What is the derivative of l + 3*p**2 + 0 + 6*p**2 + 7 wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6 + -4.7. Let n = 3 + v. Let k be (-3)\/(-6) - (-7)\/(-2). Which is bigger: n or k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124839 is divided by 1909?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t - 19. Let u be g(-6). Let f = 15 - u. Calculate the least common multiple of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5985 - -5990. Solve 0 = -2*m - 18*t + 21*t - 2, -d*m - 26 = 3*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -184550?\nAnswer: -184554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**5\/50 - g**4\/5 + 4*g**3\/5 - 8*g**2\/5 - 3*g. Solve r(j) = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7665\/592 + 301\/37. Find the common denominator of o and (-84)\/(-112)*5\/(10\/(-132)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w**3 - 9. Let b be (-7 - -11)*(-3 + (-2)\/(-1)). Let v(k) = -k**3 + 1. Let d(n) = b*v(n) + s(n). Find the first derivative of d(x) wrt x.\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rttrrtrrttrtt. Give prob of picking 3 t.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(-2*sqrt(288)*2 + sqrt(288) + sqrt(288) + 2*sqrt(288) + sqrt(288) + 4))**2.\nAnswer: 1536*sqrt(2) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 984 and 100696.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174*f**2 - 181*f**2 - 4*f**3 + 355*f**2 + 292*f - f**3 to r*f + b + q*f**2 + m*f**3 and give r.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -217 or 540180?\nAnswer: 540180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**3 - u**2 + 9*u - 110. Let h(p) = 4*p**3 - p**2 + 6*p - 109. Calculate -4*h(o) + 3*y(o).\nAnswer: -4*o**3 + o**2 + 3*o + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 31*z**2 - z - 111. Let g(s) = 2*s**3 - 17*s**2 + s - 56. Calculate 11*g(y) - 6*t(y).\nAnswer: -2*y**3 - y**2 + 17*y + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 + 4*s. Let p = -81 - -86. Suppose 5*u = -4*w + 3*w - 21, p*w = u - 1. Let f(h) = 63*h**3 - 35*h. Calculate u*f(r) - 35*o(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1216) + 1 - sqrt(1216)) - sqrt(1216)) + (-5*(sqrt(76) - (sqrt(76) - (sqrt(76)*-1 - sqrt(76) - sqrt(76)))))\/sqrt(4).\nAnswer: 4 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -672\/5 - 4*x + 2\/5*x**2.\nAnswer: 2*(x - 24)*(x + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1\/4*q**3 - 4*q**2 + 21\/2 - 25\/4*q = 0.\nAnswer: -14, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145653190 plus 0.07?\nAnswer: 145653190.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = i - 22. Is -48 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 - (1 - (1 - 4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -349\/5 + 70. Is 0 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 + 40. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842269970 to the power of 1\/3, to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-9)*1292\/(-1292)*15\/4\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + (-5 + 11 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(15)\/sqrt(3)) - -4*sqrt(171))**2 - (sqrt(152)\/(sqrt(8) - (sqrt(8) - sqrt(8)*1)) - sqrt(2299)*-1)**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.086 + -46.914. Let m = s + 47.000000228. What is m rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132679.\nAnswer: 132679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93118863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((148869\/14595)\/(8\/10))\/(10*1\/(-8))\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1418 - 395. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.096706 and -0.3?\nAnswer: 7.396706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 522491700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/34136 and 43\/119?\nAnswer: 238952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 1. Suppose 4*v + 4*a + 28 = 0, a + 3*a + 8 = 0. Let c(q) = q**2 - 6*q + 5. Let k(d) = v*c(d) - 10*y(d). Factor k(j).\nAnswer: -5*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63445842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 128\/12 - (-1)\/3. Let f = s - 7. Suppose 4*x - 2*x + f = 0. What is the second biggest value in 0.5, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26488 and 539.\nAnswer: 185416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -324 in -2\/7, 1\/6, 2, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-35)\/28)\/5)\/(65\/(-33)) and 95\/208?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 352309710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 28, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -221?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + (13 + -20 - -13 - -18)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-1))\/(9\/((-135)\/10)). Let z be -51 - -53 - 8\/(q + -1). Let o(l) = -l**3 - l**2 + l - 4. Let p be o(z). Sort 1, 3, -1, p in descending order.\nAnswer: 3, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = y - 1, 3*y - k - 7 = 0. Suppose j + y*j = 15. Suppose -j*d - 12 = -q, -4*d + 36 = 3*q - 0*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2 + 0\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/(-11) - (-6)\/33. Is 2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 3*i**4 + 0*i**2 + 2 + 0*i**2 + 2*i in the form a + x*i**3 + w*i**2 + n*i**4 + t*i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3698 less than 18.40342278?\nAnswer: 25.77322278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3 + 1 + 5 + sqrt(300)*3 + sqrt(300) + 2*(sqrt(300) - sqrt(300)*-1))**2.\nAnswer: 160*sqrt(3) + 19201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -10 (b) 4 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -102a + -26997?\nAnswer: -27a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -154 divided by 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {f: 1, w: 1, l: 2, j: 1, n: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55948 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*b - b**2 + 68*b + 13*b + 50*b + 45*b to the form t*b**2 + u*b + i and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, y: 4, p: 1, b: 2, e: 1}. What is prob of sequence ttt?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 286\/(-8)*(5 + -9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Suppose -2*x + 20 = 4*f, -5*x = -4*f - x + 20. What is the nearest to -2 in f, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/16, 1\/12, 176, -1.\nAnswer: -1, -0.1, 1\/12, 3\/16, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10b8 - 5ca52?\nAnswer: -5b989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 72314092691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**3 - 65*p**2 + 4*p + 1. Determine s(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3\/3 + 3*p**2 + 4*p. What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 4, k: 1, x: 5, u: 1, w: 1}. What is prob of picking 1 w, 2 x, and 1 u?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 83, 82, 79, 74, 67, 58, 47?\n\"Answer: -w**2 + 2*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 195 = -15. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - 68) + (-1 - -2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 756 - 762. Let d be (26\/13)\/((-5)\/(-2)). Which is the biggest value? (a) 0.5 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyybyvyd. What is prob of sequence vbxd?\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/30 - (6 + -5)) + 12\/(-20).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6\/91513, -5\/4 in descending order.\nAnswer: 0, -6\/91513, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -543346489?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5 + 36?\nAnswer: -6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqz when three letters picked without replacement from zzffzqf?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293790*l = -5*b - 293785*l - 20, -b = -5*l + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 12 = 3*f. Suppose 608 = 6*q - 280. Suppose 0 = -4*a - 4*o + 5*o + q, f*a = -4*o + 92. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 1377 = 1339. Which is the fourth biggest value? (a) 9\/4 (b) 1\/4 (c) -3 (d) 0.1 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (3*sqrt(7)*-2)**2 + 5*(sqrt(28) + 1)).\nAnswer: 20*sqrt(7) + 518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.3 - 28. Let t = 1.2 - f. Let y = t + 0. Which is the closest to 1? (a) y (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljljljhlqqq. Give prob of sequence jll.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 38*t**2 - t. Does 13 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/45)\/((73\/(-1314))\/(1\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11505\/354*2\/(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muvv when four letters picked without replacement from {u: 1, v: 6, m: 3, h: 4, y: 2}.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/2 - 15*w**3\/2 - 29*w**2 - 42*w - 20.\nAnswer: -(w + 1)*(w + 2)**2*(w + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118516.\nAnswer: 2, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**4 + 4*u**2 - 6*u**3 - u**3 - 9*u**3 + 9*u**3 + 252*u + 9*u**3 in the form m*u**3 + n + s*u**2 + q*u + a*u**4 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 591\/502 + 2482885\/8534. Let b = n + -292. Suppose -4\/17*f**2 + 8\/17*f**3 + 6\/17 - 8\/17*f - b*f**4 = 0. What is f?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = -0*c. Let i(n) be the third derivative of -n**4\/24 - 7*n**3\/6 - 30*n**2. Determine i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 6 - (2 - 1). Let m(r) = r**2 - 15*r - 277. Let q be m(-11). Suppose -49*d + q*d = -160. Solve i*f + 30 = -j, 0*j + 15 = f - d*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 divided by 7?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15322, -34945, -54568, -74191?\nAnswer: -93814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*w**2 + 4*w + 4*w + 6*w**3 - 10*w - 5*w**3 - 1 in the form b*w**2 + m*w**3 + t*w + l and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679136.\nAnswer: 2, 19, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5404124 and 3438988.\nAnswer: 37828868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -1. Let m = 818 - 815. Solve -3*w - 15 = -5*v + m*v, -2*v = o*w + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 4*l - 3. Let a be j(2). Let n(y) = 132*y**2 + y + 5. Let x be n(a). Suppose -72 - x = -2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19\/60 - -3\/20. Let t = 0.97 - 0.899. Let m = t - -0.429. Which is the second biggest value? (a) -1 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101091 (base 16) in base 10?\nAnswer: -1052817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -27, 3, 7, 0.0033?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104771657 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l + 0*l + 0*l)*(2*l - 2*l - 4*l) + (7*l**2 - 2*l**2 + l**2)*(1 - 1 + 1) in the form u + q*l + r*l**2 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 356568680 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)\/(j**(-6)\/j))**14\/((j**(1\/2))**(4\/17))**(-2\/33) assuming j is positive.\nAnswer: j**(-7850\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21239, 21950, 22631, 23282, 23903?\nAnswer: 24494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/((-2)\/(-6)). Let l = -5 + v. Let h = 43 + l. Calculate the remainder when h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 77*j - 118. Let s(b) = 219*b - 355. What is 6*s(f) - 17*v(f)?\nAnswer: 5*f - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 301 + -241. Calculate the highest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, 2, 200, -5, -3329 in descending order.\nAnswer: 200, 5, 3, 2, 0, -5, -3329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*-2*(-7)\/(42\/4). Suppose 2*g - 107 = -3*g - 4*x, 0 = -z*g + 5*x + 102. What is the remainder when g is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 964*i - 967*i + 67 = 0, 36 = -4*y - 2*i for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 112202?\nAnswer: -112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1686609 to the power of 1\/2, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1922008 and 1496?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 943404063*c**3 - 140*c**2 - 3*c - 17245 wrt c?\nAnswer: 5660424378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, -2\/5, -24, 0.02, -296683?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79200 and 20025?\nAnswer: 7048800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 17*p**2 - 3*p - 4. Let v be n(17). Which is smaller: v or -166\/3?\nAnswer: -166\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*x, 0 = 3*c + c + 2*x + 18. Let t(a) = a**2 - 5*a - 20. Let j be t(8). What is the closest to -4 in 3\/2, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.8 - -20.8. Which is the second smallest value? (a) u (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 434*f**5 - 65*f + 2?\nAnswer: 8680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3972.9 - 3973. Suppose 16*r - 20*r = -128. What is the third biggest value in r, -4, 0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8911 - 8910. What is the closest to -0.2 in u, -0.3, -6.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14299342 to the nearest integer?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*(-5)\/240 + 1*(-558)\/(-8). Calculate the greatest common divisor of 1715 and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 6274 = -9269. Let r = s + -815. What are the prime factors of r?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:44 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24 + (2 - (-2 + 1)). Let n be (-2)\/(-21)*3 - 78\/k. Suppose n*c - 7 = 33. Solve 2*m = -0 - c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from {v: 5, a: 4, s: 1, p: 5}?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.7953 to 2 decimal places.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 174\/(-1 + (0 - 0)). Let m be -2 + (1 - 0) - (s + 0). Suppose 4*v = 4*g + 304, 0 = 2*v - 2*g + 7*g - m. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24882.423 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 - 9 = 0. Suppose 3*x + 2*y = t*y + 31, 3 = -x - y. Suppose 3*w + x*d = 80, 2*w + d - 52 = -0*w. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-81)*6)\/10.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w. Let i be (-2)\/(-4)*(-15 - -17). Suppose -i = 4*t - 29. Let k(y) = -7*y - 3*y + 0*y + t*y. Give o(k(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1 + 3*v**3 - 2*v**3 - 7. Let m be h(0). What is the common denominator of 37\/20 and 355\/18 + m\/27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 62 = 8*g. Suppose 28 = 4*n - 20. Let p = -7 + n. Solve g*z - 1 - p = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126 - 35. Suppose -287 = -2*r - r - q, 0 = r - 2*q - y. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 37 = k + 4*k, -5*k + 33 = 2*p. Let w(h) = -h**2 + 7*h - 3. Is w(k) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9762205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10173927 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euu when three letters picked without replacement from seuuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 69822, 139610, 209398?\n\"Answer: 69788*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/79 - -244\/1343. Which is the second smallest value? (a) 1 (b) x (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18 = -2*x, y - 5*x - 9 = 3*y. Suppose -344 = -y*g - g. What is the common denominator of 109\/22 and g\/24 + 2 + -4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 - 7*q - 4. Let i be y(-6). Suppose -2*u - 3*u - 2*z = -157, 2*z = i*u - 74. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c**3 + 7*c. Let p(l) be the second derivative of l**4\/12 + l**3 - l**2 + 6*l. Let w be p(-5). Let k(b) = 4*b**3 - 2*b. Calculate w*k(g) - 2*v(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*y + 3*o + 20, 9 = y - 5*o. Suppose -96 = -y*c - 2*c. What is the remainder when c is divided by (-10)\/4*(-1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*34\/51?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.830417565 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**4\/24 + d**2. Let l(c) = -c**2 - 2*c. Suppose 8*i - 15 = 12*i - 7*i. Give i*l(a) + 10*h(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50664024 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:13 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -255.8?\nAnswer: 252.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228.92 + -231. What is b rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 19*l**4 - 38*l**3 + 4649*l + 38745. Let w(k) = -3*k**4 + 6*k**3 - 775*k - 6457. Let v(j) = 2*q(j) + 13*w(j). What is the derivative of v(a) wrt a?\nAnswer: -4*a**3 + 6*a**2 - 777","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 329 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2 - 12 = 3*i, -4*h = 3*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -754*u**3*w**2 - 30*u**3 - 21*u*w**2 - 2*u*w + 7*u - 21*w**2 + 525*w - 1 wrt w?\nAnswer: -1508*u**3 - 42*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -17*s**2 + 17*s - 52. Let p(g) be the third derivative of -g**5\/12 + g**4\/4 - 17*g**3\/6 - 7*g**2 - 6. Let x(m) = 2*n(m) - 7*p(m). Determine x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223 - 223. Suppose 3*s + 5*j - 123 = q, 0 = 14*s - 10*s + j - 147. Calculate the remainder when 126 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29250 or -29255?\nAnswer: -29250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219\/8 + 665\/24. Let f = -2 - -5. Let z = f - 3.2. Which is the biggest value? (a) z (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -5*z, 0 = 5*d + 3*z - 4 - 6. Let n be 3 + 0\/(3 + -6) - d. Solve 4 + n = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/22 - 714\/187. Let s be (3 + m)*2*-4. Suppose -n - 2*n = -q - 28, 0 = -3*n + 4*q + 40. Is n < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/130*(-2)\/(-6). Let k = -2.5 + 3. Which is the smallest value? (a) 3\/8 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1201, -2391, -3567, -4723, -5853, -6951, -8011, -9027?\n\"Answer: z**3 + z**2 - 1200*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -1\/4, -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 15. Sort -2, 5, s in descending order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 79.90553 meters?\nAnswer: 79905530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 306 = -5*g, -429*g + 3*z - 249 = -433*g. Calculate the highest common factor of 75 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206408 (base 9) in base 11?\nAnswer: 4075a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/123 + 4\/41. Let l = 4\/29 + 17\/87. Find p such that 1\/3*p**2 - v - l*p + 1\/3*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 998677.6 milliseconds to nanoseconds.\nAnswer: 998677600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 2*m**4 - m**4 - 2*m + 4*m**4 + 3*m**4 - 29*m**4 + (4*m + 3*m - 5*m)*(8*m**3 - 3*m**3 + m**3).\nAnswer: -15*m**4 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 - c - 1. Let z(b) = 8*b**3 + 6*b**2 + 6*b - 73. Determine -6*v(h) - z(h).\nAnswer: -2*h**3 + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208925317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.83 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, -573, -1693, -3259?\nAnswer: -5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14829 and 0.1?\nAnswer: 1482.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1918*d**3 + 781 wrt d.\nAnswer: -5754*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6969996334?\nAnswer: 2, 7, 43, 11578067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 422 and 14045215.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n + 1. Let h(b) = 1. Determine -2*h(f) + y(f).\nAnswer: 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 14 = u, -3*u = -3*i + 8*i - 43. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1 + sqrt(500)*2)*5)**2 + -3.\nAnswer: -800*sqrt(5) + 50013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(468) + 0 + -4.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 - 1)*(5*g - 2*g - g) - 4*g + 2*g + 4*g + (3 - 1 + 0)*(4*g + 2*g - 4*g))*(-3*g + 2*g + 0*g)*(-14 + 7 + 17) as m*g**2 + f + l*g and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27386, -20473, -13560?\n\"Answer: 6913*x - 34299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3192525 and 1575.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) -0.2 (c) 1\/3 (d) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*u**3 + 1 - 3 - 7473*u**2 + 7471*u**2 to k*u**3 + m*u + c*u**2 + v and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 0*v - 35*v**2 + 6*v.\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 7*c**2 - 15*c - 10. Let w be x(-4). Solve 5*i - w*p + 5 = 0, -2*p + 24 = 4*i + 2*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 1, r: 1, p: 1, j: 1}. What is prob of sequence pe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265 - -606. Let x = -340.7 + m. Which is the third biggest value? (a) 2\/37 (b) 3\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o = 20*o - 203527 - 316940. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. What is the third derivative of -4*q**4 + 3*q**4 - 7*q**6 + 36*q**6 + 4*q**a + 6*q wrt q?\nAnswer: 3480*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309*b**2*o**3*z**2 + 2*b**2*o**2*z**3 - 52*b**2*o**2*z + b**2 - 1779*b*o**3*z**3 - 6*b*o**2*z - 2*o*z**3 - 6*z**3 wrt o?\nAnswer: 1854*b**2*z**2 - 10674*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -114.33 * 0.4\nAnswer: -45.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - -110. What is the remainder when c is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-130)\/(-26) + 31\/1. What is the greatest common divisor of 81 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11221975 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/(sqrt(15)\/sqrt(5)))\/sqrt(5).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 3 + (3 - 6). Suppose 0 = 4*p - 5*s - 37, -x*p + 0*p + 19 = -2*s. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1624114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -125, -1443 in increasing order.\nAnswer: -1443, -125, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55107961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -155 - -2635?\nAnswer: 24a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 13, p: 3, r: 1}. What is prob of sequence zr?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17\/2 of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-8))\/(((-154)\/55)\/(80\/75))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 4 = -22. What are the prime factors of ((-2051)\/g)\/7*-2?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -4\/3 (c) -1 (d) -34 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + b - 7 = 9, 5*t = b + 40. Suppose -7*y + 3 = -4*y. Suppose -2*w = -w - y. What is the least common multiple of t and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*x**5 - 4890*x**4 - 27*x**3 + 466*x**2 + 1956.\nAnswer: 300*x**2 - 117360*x - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2 - 2. Let h be (w - (-1 + 1))*34\/(-8). Let b be (-750)\/(-4) - 4\/8. Calculate the greatest common factor of h and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/18 - (-7)\/3. Let b be (2\/(q + 8\/1))\/1. Let j = 7 - 3. Sort b, -1, j in descending order.\nAnswer: j, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -235*o**2 + 75*o - 418. Let m be x(14). What is m rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, 0.5, 8.8, 0, 311 in descending order.\nAnswer: 311, 8.8, 0.5, 0.2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -93. Suppose 2*d + d - z = 0. What is the greatest common divisor of 104 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f\/f**(6\/11))*f)*f*f)**(-2\/35)*f**(7\/5)\/f**22 assuming f is positive.\nAnswer: f**(-7963\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:43 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**4 + 3*u**3 - 5*u**2 + 75*u + 3. Let v(x) = -2*x**4 - x**3 - x - 1. Let f(w) = -3*v(w) - z(w). What is the second derivative of f(y) wrt y?\nAnswer: 12*y**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 33 = -7. Solve -a + j = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -42*r - 447. Is r smaller than -83\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) -2\/43 (c) 4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1))**(-1\/24)\/(o**7*((o\/o**(-11))\/o)\/o*o))**(2\/7) assuming o is positive.\nAnswer: o**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 9755c?\nAnswer: -97569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2021c4 (base 14) to base 4.\nAnswer: 10020002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 24\/11, 0.4, -3, 3, 71?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -314 and 8206.\nAnswer: 7892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 1\/3*d**3 - 1\/24*d**4 + 0 + d**2 - 3*d. Let p(g) be the first derivative of v(g). Differentiate p(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -4*o + 12, 4*w - 28 = -15*o + 29*o for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 1320501300?\nAnswer: -1320501253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 112*t - 3. Let f be y(1). Is 16\/6 + (-2)\/(-6) + f a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**5 - 125*x**4 + 5250*x**3 - 61250*x**2 - 1071875*x - 378. Solve i(z) = 0.\nAnswer: -5, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(6\/24). Let m = 2 + -1. Let g be m\/(-1 + 2\/4). Is a smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (7 - -1 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - (-40 - (-152 - -83))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -282717 and -0.12?\nAnswer: 33926.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637638.\nAnswer: 2, 3, 106273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*c + 21, 3*c - 16 - 1 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.99665 + 0.00335. What is the biggest value in 4, 3\/2, 31, l, 2\/7?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2. Let d(i) = -612*i - 3. Let r(p) = -1765*p - 8. Let a(f) = -17*d(f) + 6*r(f). Give a(n(b)).\nAnswer: 744*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(19) - (sqrt(19) + 2 - sqrt(19))) + sqrt(19)) - (sqrt(19) + 1)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y**2 - 3*y**2 + y**2)*(110274 - 110274 + 1696*y) + 5*y**3 - 3*y**3 - y**3 as z*y + s*y**2 + o*y**3 + b and give o.\nAnswer: 3393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 15*r**2 - 3*r - 10. Let a be ((-5)\/3)\/(-5)*(-51 + 12). What are the prime factors of m(a)?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**2 - 377*i + 442. Let g(f) = -5*f**2 + 386*f - 441. Let h(l) = -7*g(l) - 6*k(l). Factor h(c).\nAnswer: 5*(c - 87)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*j + 397 - 2557 = -18046 - 15810 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = q - 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*a + 200*a + 315*a - 1257*a.\nAnswer: -543*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*(m**(2\/9)\/m)\/m)**(-3)*(m**(1\/6)\/m)\/m**(4\/5)*m**(1\/10)\/m**(1\/9) assuming m is positive.\nAnswer: m**(-239\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 17, -272, -1\/7, 3?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2529*j**4 - 3719186*j**3 + 3719186*j**3 + (-3*j + 0*j + 4*j)*(5*j**3 - 4*j**3 - 2*j**3).\nAnswer: -2530*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnxl when four letters picked without replacement from {l: 3, n: 3, x: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 512 - 192. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**7\/60 + r**6\/720 - r**5\/120 - r**4\/6 - 5*r**2. Let l(q) be the second derivative of p(q). What is the units digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-one quarters of a century?\nAnswer: 27300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 13*j**2 - 36*j + 252. Let l be g(11). Solve 30*t - l = 82 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638691.\nAnswer: 3, 212897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(1\/9)*g)*g**(-17))\/(g**4\/g**(-1\/2)))**(-26\/7) assuming g is positive.\nAnswer: g**(689\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (19\/(-2))\/((-1)\/118) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 33092 = -8353. What are the prime factors of (-9)\/6 - f\/(-18)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12 = -5*w. Suppose -w*d = -0*d. Suppose 2*v - 480 - 920 = d. Round v to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*x + d, 4*x + d + 1 = 2*x. Let -2*y**x - 4*y**2 + 3*y**4 - 5*y**3 + 2*y**3 + 0*y**3 = 0. Calculate y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2219 - 2216. Sort 0.1, j, -2\/9, -0.2.\nAnswer: -2\/9, -0.2, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 830 + -245. Let j = 564 - q. Which is the closest to -1? (a) -4 (b) j (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3938874 times -0.2?\nAnswer: -787774.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)\/w**1)**(-2\/61)\/(w**(2\/9)\/(w*w\/w**(-2\/5)))**46 assuming w is positive.\nAnswer: w**(275033\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/184 + 329\/2392. Let k = 9 - 8. Let b = -7.5 + 7. What is the nearest to k in s, 4, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 149 = 141. Let f(t) = t**3 - t**2 - 4*t - 4. Let y be f(g). Let x = -72 + 184. What is the highest common factor of x and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhh when three letters picked without replacement from {h: 6, m: 1, b: 4}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 5*k**2 - 7*k + 2. Let a be d(-6). Let h be 95\/20 - 1\/(16\/12). Suppose 4*y = 3*x - x + 20, -4*x + a = h*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*9\/12*(-31736)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 21736 = 32*f. Let m = -356 - f. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 + 3*x + 4 - 3*x**2 - x - 4*x**2 - 3*x**2 to the form q*x**2 + n + g*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159408 and 11270736?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18)*2 - 32\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + 77*x**2 + 33*x + 237. Determine d(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7618 from 0.13.\nAnswer: -7617.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -26*y**3 - 1. Determine t(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u - 1. Let g be b(-1). Suppose 2*l - 4 - g = 0. Let s = l + -9. What is the highest common factor of 2 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 1, -5*f = b + 2 - 9. Suppose 0*r = -5*r - 5*y - 15, -8 = b*y. Suppose 2*t - 6*t = 0. Sort r, 4, t in descending order.\nAnswer: 4, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((11\/825)\/(-4 - (-161)\/42))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(30) + sqrt(60)\/sqrt(2)))\/(sqrt(40)*-3) + -4)**2*3.\nAnswer: 40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39, -47, -189, -387, -641?\n\"Answer: -28*r**2 - 2*r + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -1.2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3884230662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 395889164 to the power of 1\/2, to the nearest integer?\nAnswer: 19897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-10))\/(-1 - (-78)\/60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + ((-11)\/(-99))\/((-20)\/(-7740))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 29989.62 months?\nAnswer: 2.499135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/21 - 11\/84. Let g be (-14)\/66 + 1\/(-3). What is the closest to p in -2, g, -3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.57582 + 45.6658482. Let j = p + 2.91. What is j rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/5 + 324\/30. Suppose q = 2*g - 17. Calculate the highest common divisor of g and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56830690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -151, -244, -349, -466, -595?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 289 = i. Let q = -103 - i. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1511070 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r = -52*r + 160*r + 750 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238917563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = -3*s + 19, 5*s - 31 = -2*j. Let x = s + -4. Suppose 3*g = -6 - 3, 2*r + x*g = 35. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 2*r**7\/105 - r**6\/15 + r**4\/3 - 2*r**3\/3 - 112*r**2. Factor x(h).\nAnswer: 4*(h - 1)**3*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + 2.93. Let t = 0 + o. Let j = -3.0025 + t. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/270 and 35\/4338.\nAnswer: 65070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -2. Solve -u = -p - p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 2*p + q - 27 = 0, -4*p = -4*q + 43 - 7 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116718*y + 4326 - 4326.\nAnswer: 116718*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 12 = 51*h - 384 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.570285987 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**7\/126 + c**5\/30 - c**3\/18 + 2*c. Find w such that p(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50418871.\nAnswer: 50418871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(5*(sqrt(68) - 3*sqrt(68)) + 1).\nAnswer: -20*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39753 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -12, 0, 5 in decreasing order.\nAnswer: 14, 5, 2, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in 0.5, 1\/129, -12, -1\/2, -0.0614?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 6, g: 5}. What is prob of sequence zgzg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03674400314 rounded to four decimal places?\nAnswer: -0.0367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c**3 - 2*c**2 + 2*c - 1. What is the lowest common multiple of f(1) and 13 - ((-12)\/14)\/((-13)\/((-182)\/4))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/20)\/(165\/1100)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2097bb7 - -15?\nAnswer: -2097ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4291504.\nAnswer: 2, 7, 38317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 + 4*o**3 - 2*o**2 - 3*o + 1008. Give h(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -22\/301, 2, 10, -1\/2, 4 in ascending order.\nAnswer: -0.7, -1\/2, -22\/301, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3109\/6242 + 6\/3121. What is the biggest value in -2, v, 6\/41?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = g, 0 = 24*g - 29*g + c + 129. Calculate the greatest common divisor of 288 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -2079, -4625, -8185, -12765, -18371, -25009, -32685?\nAnswer: -41405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a06 + -55?\nAnswer: 2961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 245 = -550. Solve -o + 159 = 38*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:49 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1103 - 398. Suppose -6111 = -16*g + j. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -8*d - 1243. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 53, 9191 in descending order.\nAnswer: 9191, 53, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 149861 times -0.3?\nAnswer: -44958.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 1 - (5 - (-3 + 6)). Let l = 1 - v. What is the smallest value in -0.1, l, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1421, 1419, 1417, 1415, 1413, 1411?\n\"Answer: -2*d + 1423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 236770 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -275\/477 - -7\/53. Let s = 11 - 7. What is the nearest to -0.2 in s, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -23, 4, -10, -0.5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 12 = 5*l. Let r = -9 - l. What is the units digit of 51\/r + (-10)\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -324*b**4 + 6*b**3 - 21*b - 11. Let y(p) = -p**3 + 1. Let x(g) = k(g) + 6*y(g). What is the second derivative of x(h) wrt h?\nAnswer: -3888*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -2*d + 4*l + 2684, -3*d + 5755 = l. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122528*r - 385150?\nAnswer: -122528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5\/4 + 63645*u**4\/4 - 669265*u**3\/2 + 701475*u**2 + 2868750*u = 0 for u.\nAnswer: -12750, -2, 0, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 5*w + 79. Calculate m(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0668 times -0.028\nAnswer: 0.0018704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3102\/(-88) - (-3)\/4 and 143\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Let s(o) = -4*o + 8. Let k(p) = -s(p) - 3*z(p). What is k(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 6\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -6001?\nAnswer: -1\/6001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w\/(w*w**3)*w)\/w*w)\/w)\/w**6)\/(w**(1\/4)*w)**(-24) assuming w is positive.\nAnswer: w**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 287610589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12689?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**4 + 11*f**3 - 17*f - 15 wrt f?\nAnswer: -48*f**2 + 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13 + 5 = 0. Suppose -4*a = -r*a + 3*s + 122, -3*s + 70 = -a. Let c = -28 - a. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 4*s**3 - 35 + 21 + 5*s**3 + 13.\nAnswer: s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 - 48. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3308635 to two decimal places.\nAnswer: 1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47626*k**2\/9 + 84668*k + 64\/9.\nAnswer: -2*(k - 16)*(23813*k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/24 - 2*l**3\/3 - l**2\/2 + 4*l. Let n(k) be the first derivative of b(k). Let j be -2 + (2 + -1 - 2). What is n(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3066 (b) 3 (c) -2\/5 (d) 0.4 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -4\/3, -1\/16, -357?\nAnswer: -357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2. Let u(f) = -598*f - 536*f - 1531*f**2 + 1133*f. What is u(z(i))?\nAnswer: -1531*i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 91. Put 1\/4, p, 8 in increasing order.\nAnswer: p, 1\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*((-13090)\/714)\/(10\/(-12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let o(s) = -5*s**3 + 4*s**2 + 1. Let m(a) = -4*a**3 + 3*a**2 + 1. Let b(c) = -4*m(c) + 3*o(c). What is b(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7511 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3744216400?\nAnswer: 2, 5, 43, 217687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 1\/6*g**3 - 2*g**2 + 0*g - 3 + 0*g**4 - 1\/30*g**5. Let c(i) be the second derivative of x(i). Differentiate c(k) wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 25*r**3.\nAnswer: 5*r**3*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.984 - -0.016. Let f = z + -9. Let y = 13.6 - f. Sort 1\/2, -2, y.\nAnswer: -2, y, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3662 * 61.447.\nAnswer: 225018.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**3\/21 + 108*d**2\/7 + 90*d + 13002. Factor z(x).\nAnswer: 2*(x + 3)*(x + 105)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 364*v**2 + 4*v + 37. Let i be h(-4). Suppose -51*o + 56*o = i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*h + 65107 = -224063. Does 81 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3680, -3683, -3686, -3689?\n\"Answer: -3*n - 3677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + t**4 + 2 + (-3*t**2 + t**2 + t**2)*(-2*t + 2*t**2 + 2*t) + (0*t + 3*t - 5*t)*(-2*t**3 - 2*t**3 + 2*t**3) - 2*t**4 + 2 - 2 + t**2 - t**2 + 4*t**4.\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/6210 and -137\/489888.\nAnswer: 56337120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**7\/840 - 3*r**4\/4 + 2*r**2. Let b(m) be the second derivative of t(m). Let y(q) = -16*q. Give y(b(i)).\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - -0.19. What is the biggest value in b, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8896 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -530512356?\nAnswer: 530512350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -35*l**3 - 109*l**2 + 5*l + 52. Determine m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -4, 9, -3\/10, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - 2*f**3 + 3*f**3 + (34*f**2 + 7*f**2 + 62*f**2)*(4*f - 4*f + 2*f).\nAnswer: 208*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*g\/(g*g\/g**1*g))\/(((g**2\/g)\/g)\/(g**(-11)\/g)) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwjjijwyjiiiyj. What is prob of picking 1 j and 2 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -27133 (base 13) to base 14\nAnswer: -1c6da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 28. Suppose -3*o - j = -41. Let y = -22.8 + 26.8. Which is the fourth biggest value? (a) o (b) 0.5 (c) y (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7877 + 114?\nAnswer: 7990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -1100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3192 divided by 1653.\nAnswer: 56\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 169 - 8?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 8*o**2 + 9*o + 10. Let b be f(9). Solve -4*s - 26 + b = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2001829961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 3774 = -528. Let j = l + 568. What is the greatest common factor of 585 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 4, -5*v + 39 = 513*z - 512*z for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 0 - 2. Suppose t*i - 54 = 1228. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -78.7 and 50604.487949.\nAnswer: 50525.787949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -82*t + 222 + 6 + 254 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7406 = 2*u + 4*w, -19*u + 17*u = -2*w - 7424. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = j + 287, 7*j - 4*j + 852 = 3*h. Is -283 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/15 - 24796*h**4\/5 + 223136*h**3\/15 + 123972*h**2\/5 - 223138*h\/15 - 99176\/5 = 0.\nAnswer: -1, 1, 4, 37191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*z + 8 = 2*u, 5*u - 45 = -5*z. Solve -29 = -2*r + 2*q - u*q, -q + 7 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2. Let u(a) = 2*a + 2*a - a**2 + 6*a**2 - 3*a**2. Let h(m) = -m**2 - m. Let r(f) = -4*h(f) - u(f). Determine y(r(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:45 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/3 - b**2 + 2*b + 8. Let p be z(0). Factor 0*i - 1\/3*i**p + 1\/3.\nAnswer: -(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/3324 and -107\/60.\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2173, 2172, 2171, 2170?\n\"Answer: -p + 2174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 - v + 2. Suppose 5*i - 2 = 6*i. Let r be o(i). What is the tens digit of (-15 + 18)*r\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -663, -1300, -1927, -2538, -3127?\n\"Answer: m**3 - m**2 - 641*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -17.4. Let k = -1.2 + 2.2. Let r = k + f. Which is the third biggest value? (a) 0.5 (b) -0.5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -528*c + 71. Let h be g(4). Let m = h + 2907. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*2*(sqrt(144)\/sqrt(72))\/((sqrt(90)*2)\/sqrt(10)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -268 + 292. Calculate the remainder when m is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -12 in increasing order.\nAnswer: -12, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422526376.\nAnswer: 2, 3, 100938599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.062, -1\/4, -28.\nAnswer: -28, -1\/4, -0.062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -p - 1727 + 1694, -5*i = -35 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9664544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0 + 0*j + 1\/10*j**5 + 7\/24*j**4 - 5\/6*j**3 - 1\/120*j**6 - 29*j**2. Calculate w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 0 (c) 896 (d) 37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/36)\/(25\/75)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2722418 by 1.\nAnswer: 2722418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*14.3.\nAnswer: 5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2594*t**3 - 9*t**4 + 2596*t**3 - 2*t**2 + 10*t**2 - 1 as q*t**4 + s + l*t**2 + r*t**3 + o*t and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7981 is divided by 570.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 13?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + 15. What is the remainder when h is divided by 7 + 0 - 28\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -48*y**2 - 7399*y + 22210. Give j(3).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/3)\/(212\/159).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 63. What is the third derivative of -o - 480*o**2 + 432*o**2 - 56*o**r + o wrt o?\nAnswer: -1344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1))\/(25 - 23). Let v(o) = 16*o**3 - 2*o - 3. Calculate v(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 13, 5, -13\/23?\nAnswer: -13\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 3*y + 30 = -9, 4*n = 5*y + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 152*g - 1387. What is the tens digit of x(115)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 296 and -6477.\nAnswer: -6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o**5 + 300*o**4 - 1892*o**3 + 4836*o**2 - 3852*o - 1296 = 0.\nAnswer: -1\/4, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 2*r + 5*r + (5 - 5 + 2)*(-3*r + r + 0*r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 2. Let f be v(2). Let t be (-2)\/(-2) - (-7 - f). Let j(u) = 279*u - 1107. Let a be j(4). Solve -z = -t*z + a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12377 is divided by 858.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15166681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2969487608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2200102 (base 3) to base 8\nAnswer: 3643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103603709?\nAnswer: 11, 77839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6071*w**2 + 40 - 122 + 82 as t*w + r + n*w**2 and give n.\nAnswer: 6071","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((3668\/(-504))\/131)\/((-7)\/(-24))\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**42\/k*((k**(-20)\/k)\/k)\/k assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 2, u: 1, k: 1}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 7, n: 4, e: 1}. Give prob of sequence nlz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.3, 2, -103\/2, 33, 5, 8 in decreasing order.\nAnswer: 33, 9, 8, 5, 2, 0.3, -103\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4621 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3 + 4 - 3*t + 4*t + 0. Let j be ((-3)\/(-2))\/3*-4. Determine l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 + 1 + 0*r**4 + r**3 - r**3 - r**3 + 2*r as s*r**4 + y*r + v*r**3 + m*r**2 + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8*l - 4 = 0. Suppose 4*h = -l, -1915997 = 7*r - 3*r - 3*h. What is r rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - -66. What is the least common multiple of z and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -206255 and -4.\nAnswer: -206259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1252\/5 + -250. Which is the closest to 1\/3? (a) -36 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3*n**4 - 39321*j**3*n**2 + 9*j**3 - 2*j**2*n + j**2 - 1100*j*n + 2*n**2 wrt n?\nAnswer: -36*j**3*n**2 - 78642*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) -0.4 (c) -0.02 (d) -1 (e) 39688\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29914.754 - 0.3?\nAnswer: 29914.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 11*d + 2. Let c be t(-11). Suppose 0*h - c*h = -8. Suppose 113 = h*o - 43. What is the remainder when o is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 14069 - 588 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -74. Suppose 5 + 20 = r + 5*g, r - 5*g + 15 = s. Suppose 4*l - 77 = -r. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let x be y(3). Let o be (-4)\/21 - 1\/x. What is the third smallest value in -0.03, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 3*i + i - 3*i - 2 + 2 + (2 - 1 - 3)*(2*i + 0*i - 3*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**4\/24 + p**2. Let o be 5*(-3)\/((-75)\/1055). Suppose -213 + o = -w. Calculate u(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011101110101 - 1110110?\nAnswer: -10000011111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 6 + 0 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.2 * 2.4.\nAnswer: 14.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 936914390*p - 936914390*p + 11*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - 5*l)*(2*l**2 + 6*l**2 - 2*l**2 + (0*l + 0*l + l**2)*(-2 + 0 + 3)).\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + -3 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5162 is divided by 1558.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 - m + m + (-1 + 1 + m)*(-3*m + m + 0*m) + 2*m - 2*m - 2*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 17 + 20462*t**2 - 20461*t**2 - t - 18. Let z(g) = 7*g**2 - 6*g - 18. Give -6*c(f) + z(f).\nAnswer: f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 827.5857?\nAnswer: 1655.1714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -20\/24797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.012 - 0.0119926. What is s rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46359852 by 117964.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g**2 - 40*g**2 - 11*g**2)*(-4*g - 2*g + 4*g).\nAnswer: 134*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*g + 34 = 5*i, -10 = 5*i + 5*g. Suppose 6*f = 2*f - 16, 4*f = i*b - 61. Suppose -p - x = 1, x + x + 8 = 0. Solve 5*w - b = 5*k, w + p = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*a - 150*a - h = -1, -5*a + 3*h = -19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-224)*((-38)\/6 - (-6 + 1)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -u + 86, 15 + 77 = u - 4*n. Suppose -d = 2*d - 2*m - 133, 2*m + u = 2*d. Suppose -5*h + d = -5. Solve -h = -r - r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9425578 weeks in milliseconds?\nAnswer: 570058957.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537.226 centuries in years?\nAnswer: 453722.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, -553, -1453?\nAnswer: -2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**3 - 3*p**2 - 3*p - 15. Determine a(-5).\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -468?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3130032 (base 5) in base 10?\nAnswer: 51892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - b + 8 = 0, -5*h - b - 19 - 5 = 0. Let s(l) = -l - 2. Let t be s(h). Suppose -f + 0 = 1, 4*p - t*f = 166. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74538?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t - 1. What is the remainder when x(2) is divided by 1 - (-48)\/(-4)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 32*t**3 - 15*t**3 + 15*t - 16*t**3. Let j(u) = 3*u. Give 3*a(x) - 15*j(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 18 + -2 - ((-10 - -3) + 7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**4\/4 + 7*x**3\/3 - 2*x**2 + 4*x + 349. Suppose -3*p + 20 = 2. What are the prime factors of h(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 1\/17 (c) -0.4 (d) -30\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 378, 752, 1126, 1500?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-117)\/(-4) + 1\/(-4). Let f = -21 + g. Let n = f - 4. Solve -5*k = 1 + n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75 + 15 - 6 - 95*f**3 wrt f.\nAnswer: -285*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/120 - 49*c**4\/24 + 46*c**3 - 5460*c**2. Factor w(o).\nAnswer: (o - 92)*(o - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1682, 1679, 1684, 1703, 1742, 1807, 1904, 2039?\n\"Answer: t**3 - 2*t**2 - 4*t + 1687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135003994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -12. Suppose 0 - 6 = 3*i + m, u = m. Let t be i\/(-3)*30\/4. Solve p - 17 = 4*g + 2*p, 3*p - 34 = t*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 17. Let r be i(4). Solve 4*x - r = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3391 + 23637\/7. Let l(o) = -2*o**2 + 6*o + 6. Let q be l(5). Let g = u - q. Is 3 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - o + o)*(-7*o - 29 - 7*o + 22) to y + q*o**2 + m*o and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -182*v + 132. What is the thousands digit of u(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l - l + 3*l - 5*l + 4*l - l + (-1 - 1 + 4)*(2*l - 5*l + l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -449, -1175, -1901?\n\"Answer: -726*r + 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 - -0.69. Put 0.1, g, -4.1, 1 in decreasing order.\nAnswer: 1, g, 0.1, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 0.55 (c) 1\/3 (d) 11.4 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3063695 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 0 + 0)*(c + 2*c + 2*c) - 5*c**2 - 3*c**2 + c**2 to the form y + x*c**2 + w*c and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.22 + 0.02. Put -0.3, s, 0.5 in descending order.\nAnswer: 0.5, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32\/191, -0.1, -2\/7, 0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 17, r: 3}. What is prob of sequence wrr?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 45. Let m = s - -37. Let b be 9\/(-9)*(-2 + 3)*2. What is the fourth biggest value in b, -3, m, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + 386*j**2 + 1319*j + 126. Calculate l(132).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssos when four letters picked without replacement from ssoososooxsoox?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 352471183 to the power of 1\/2, to the nearest integer?\nAnswer: 18774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9*z**2 - 5 + 7)*(0 - z**3 + 0).\nAnswer: 9*z**5 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 19*y = 765. Let o = 249 - y. Let t be 60\/(-8) - 2\/4. Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*h = 0, 2*k - 3 = 4*k - h. Let d(u) = -7*u**3 - u**2 - 2*u + 1. Is d(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + 5*v**3 - v**3 - 5*v**3 - v in the form c*v**3 + h*v**2 + u*v + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33495.7 and 0.07.\nAnswer: 2344.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3677*s**6\/6 + 1955*s**2\/2 - 3126. What is the second derivative of h(t) wrt t?\nAnswer: -73540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/10) + (-74)\/(-14). What is the nearest to r in -2\/5, 7, 6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59498, -59495, -59492, -59489, -59486, -59483?\nAnswer: -59480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -3, 10\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**12)\/m)*m*m**1*m\/(m*m*m**(-9)*m*m)*m*m**2)**(1\/50) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8314, 66440, 224212, 531454, 1037990, 1793644, 2848240?\nAnswer: 4251602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 9*b**4 + 0*b**2 - 4*b**4 - 2*b**2 - 3*b**4 + 7*b**3 to the form u*b**2 + g + w*b**3 + j*b**4 + v*b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2681*t**4 + 12*t**3 + 80*t**2 + 2*t - 510 wrt t?\nAnswer: -64344*t + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75464574 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3*r + f**3 - 93816*f**2*r - 1321906*f**2 + 20*f*r + r wrt r.\nAnswer: 2*f**3 - 93816*f**2 + 20*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 5*a**2 - a + 0 + 2*a**2 + 1 + 6*a**4 in the form i*a**4 + q*a**2 + v*a**3 + s*a + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 386, -0.1, -2\/13?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1169*i**2 - 2*i + 1414*i**2 - i + 4*i - 3*i in the form f*i + c + x*i**2 and give x.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2*2\/(-396))\/(160\/(-720)))\/(-2)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 47578?\nAnswer: 237890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 - 30 - 1 - 23 + 83 - 29.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2683884 and 103596?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025166 rounded to 7 decimal places?\nAnswer: -0.0000252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -745*r**4\/3 + 13*r**3\/6 - 18*r**2 + 153*r. Let o be g(12). What is o rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-35) - (-52)\/84. Let y(h) be the first derivative of 0*h**2 + 3*h**3 + 0*h + 0*h**4 - 7 + 0*h**5 - f*h**6. Find the third derivative of y(w) wrt w.\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 5*b**2 + 11*b - 7. Let f be c(-6). Let p = -73 - f. Calculate the least common multiple of 64\/p + -2 - (-60)\/27 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2542.13 + -2553. Round z to one decimal place.\nAnswer: -10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0 (c) -799.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.852 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 535 = -4*z + 15*z + 60*r, z = -4*z + 5*r + 50 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*f - 40*f + 43*f + 342 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*f = 24. Suppose -5*u = -f*w - 3049984, -3*w + 1829996 = 3*u - 4*w. Round u to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6434992.\nAnswer: 2, 523, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1040 and 4523363?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 + 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 33*q**2 - 356*q - 930. What is a(42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1563*q. Let b(m) be the second derivative of m**3\/2 - 2*m + 139. Determine k(b(g)).\nAnswer: -4689*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098089984 to seven decimal places.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -944*z**3 + 3555*z**3 + 3232*z**3.\nAnswer: 5843*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:55 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14572398 rounded to four dps?\nAnswer: 0.1457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 415. Let w(t) = 12*t. Calculate w(i(r)).\nAnswer: 24*r + 4980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + s - 1. Suppose 0 = -4*n - 3 + 31. Let x(l) = l**2 - 7*l - 2. Let j be x(n). Let a be h(j). Solve 11 - a = 2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/209949 and -73\/2.\nAnswer: 419898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 19 = -2*i - 3*i, 3*m + 9 = 0. Let t(h) = 2*h - 2. What is the remainder when i is divided by t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 3 - 4*c + 4*c)*(2*c**2 - 2*c**2 + 2*c**3) in the form o*c**4 + z*c**2 + m*c + p*c**3 + k and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*b**3*f - 28*b**3 + 2*b**2*f**4 + 2*b*f**2 wrt f.\nAnswer: -13*b**3 + 8*b**2*f**3 + 4*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 3*u**2 - 2*u**2)*(71*u**3 + 11*u**3 - 120*u**3).\nAnswer: 76*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68221754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-12\/7)*c**(-1) assuming c is positive.\nAnswer: c**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 232164 to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 736 in 0.5, -1, 10\/3, 3, 0?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.1162858?\nAnswer: -0.01162858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -11*f - 7. Let p be c(-1). Let i(b) = -b**2 + 4*b - 2. Let m be i(2). What is the third derivative of 2*l**4 + 3*l**2 + 0*l**p - 2*l**m wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16399\/462 + 477\/14. What is the common denominator of i and 59\/252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191 (base 11) to base 8.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.524131 milligrams?\nAnswer: 0.002524131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332 + 324411133?\nAnswer: 324410301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z + 3153 = 1699 - 2962 for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 0.255335.\nAnswer: -5.1067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**3 + k**2 + k + 1. Let i(w) = -7*w**3 + 30*w**2 + 4. Calculate -i(p) - 3*v(p).\nAnswer: -2*p**3 - 33*p**2 - 3*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) -1 (c) -6 (d) 1.68797\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8367, 14432, 20497, 26562?\n\"Answer: 6065*g + 2302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12759*t - 791060. Give j(-62).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**5 - 403590*p**4 - 1614423*p**3 + 2018010*p**2 = 0.\nAnswer: -5, 0, 1, 134534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -2952?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1465?\nAnswer: 2930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 1)*(4 - 4 - 2*f) - 1480*f - 4146*f - 4953*f as d*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 + 0*i**3 - 4*i**3 + (0*i + i + 2*i)*(i**2 + 3 - 3) to the form w + j*i + u*i**3 + g*i**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*56\/(-10)*(-245)\/98.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7561, -8054, -8877, -10030, -11513, -13326, -15469?\n\"Answer: -165*r**2 + 2*r - 7398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {s: 2, a: 4, h: 3, b: 2, q: 1, j: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 63885762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 3*w**5 - w**5 + ((-w - w + w)*(-2 + 0 - 4) - w + 0*w - w)*(3 - 3 - 2*w**4).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1486723051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 + 2.9. Let t = 0.13 - -10.87. Let k = -9 + t. What is the third smallest value in k, -1, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -3*g - 3*z - 30, -6*g = -9*g - z - 162 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:58 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 + 2*f**5 - 4*f**2 + (-1 + 5 - 3)*(-3*f**5 - f**5 + 2*f**5) + 4*f**5 + 0*f**5 - 3*f**5 - 103*f**5 + 64*f**5 - 107*f**5.\nAnswer: -145*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 39 = 15*k. Sort -18, 3, -1, k in decreasing order.\nAnswer: k, 3, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -268, -310, -380, -484, -628, -818, -1060?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 10428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssgssssssgs. What is prob of picking 2 s and 2 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 2704*s**2 + 15090008*s - 10758289184.\nAnswer: -2*(s - 1198)**2*(s + 3748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13925 and -1.\nAnswer: -13925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = c - 27. Let h be (-8)\/(-24) - ((-1828792)\/c - -1). Round h to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5\/11 + 460*s**4\/11 + 21962*s**3\/11 - 519416*s**2\/11 + 2096096*s\/11 - 1599104\/11 = 0.\nAnswer: -124, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-10) - (-4)\/(-2) - 1309\/(-238). Solve 2 - 12 = -2*l, 4*o + s*l - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t. Suppose -3*n + 5*n - 10 = 0. Let o(i) be the second derivative of i**4\/12 - 5*i**3\/6 + i - 54. What is n*d(m) + o(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let k be f(1). Suppose -2*l + k + 2 = 0. Suppose -l*p - 5*u = -13, -5*p - u + 11 = -79. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 184, 4730, 1?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 111916391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f - 18. Let j(u) = u + 1. Give g(y) + 6*j(y).\nAnswer: -2*y - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 8*g - 53 - 1. Let r(z) be the third derivative of 4\/135*z**5 + 0*z + g*z**2 + 2\/9*z**3 + 13\/108*z**4 + 0 + 1\/540*z**6. Suppose r(m) = 0. What is m?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 224 = -2*c. Suppose 13*h + c*h = 13*h. Let a be 6\/15 + 54\/15. Solve a*p - p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {h: 1, z: 1, r: 1, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -201? (a) 6 (b) -0.1 (c) 1 (d) 8\/5 (e) 5 (f) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - sqrt(432)*1 - sqrt(243)\/sqrt(36))\/(6*sqrt(99)\/(sqrt(11) + (sqrt(44) - sqrt(11))))*-1.\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -531\/4 + 134. Let p = -1 - 2. Sort p, 4, y in increasing order.\nAnswer: p, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*s**3 - 17*s**3 - 10*s**2 - 27*s**3 - 7*s - 22*s**3 as o*s**2 + r*s**3 + n*s + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3342 + -4.\nAnswer: -3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 17\/7, -4\/7, 0.8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155213144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 3*v**2 + 7*v**2)*(3*v + 0*v - v) + (3 - 3 + v**2)*(62*v - 4*v + 37*v).\nAnswer: 97*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -307*f**7\/105 - 8*f**5\/3 + f**4\/24 + 432*f**2. Find the third derivative of s(c) wrt c.\nAnswer: -14736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468598779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 400584.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63145 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15899 + -10142. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 + -198. Let v(r) be the second derivative of 0*r**4 + 0*r**5 + 0 - 2\/15*r**y + 0*r**3 + 5\/2*r**2 + 3*r. Find the first derivative of v(s) wrt s.\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 473*t**2. Let x(q) = -22*q + 12. Calculate m(x(u)).\nAnswer: 228932*u**2 - 249744*u + 68112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 284 + -66. Let i = 244 - q. Solve -i = 4*x - 6*z + 4*z, 27 = -3*x + 3*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 4)*(-2 + 0 + 0)*(11*b - 95 + 95 + 4*b + 4 - 4 + (2*b - b + 0*b)*(-45 + 15 + 16)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/6 + 9*x. Let z(j) = 3*j**2. Calculate z(u(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586544\/64*216\/63?\nAnswer: 2, 3, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105549465 by 25403.\nAnswer: -4155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 672132?\nAnswer: 4704924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + -0.2. Let b = x - -1.6. Let r = -7 - -12. What is the closest to 2\/7 in 0.3, b, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/4 - (-2)\/(-8). Suppose -s + m = 2. Suppose -2*u - s*u - 1 = 3*n, u = 4*n + 14. Solve -3*x + 15 = u*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5043, -5045, -5047, -5049, -5051?\nAnswer: -5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-2287716.\nAnswer: -183017.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-23 + 19600*x + 25 - 2 + 11929*x).\nAnswer: -31529*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + ((sqrt(432) + 0)*-1)**2 + -1).\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2054459*b**4 + b**2 + 12808*b - 8?\nAnswer: -49307016*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18858, 74989, 168548, 299541, 467974, 673853, 917184?\nAnswer: 1197973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f + 117*f - 58450 = 0. What is the least common multiple of 4620 and f?\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 325.5 + -325.2. Let t = 3.48 - 3.4. Which is the smallest value? (a) -2\/7 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -14 (c) -4\/15 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c = 17*c. Let u be (-1)\/6 + (-174)\/36. Put c, 5, -23, u in descending order.\nAnswer: 5, c, u, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/57*(-6)\/62*2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 881, -1 in descending order.\nAnswer: 881, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2094\/29 - 18788\/261. Find m such that -x*m**3 - 8\/9*m**2 - 2\/3*m + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/15 + 74*n\/15.\nAnswer: -2*n*(n - 37)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -38943, -77915, -116889, -155865, -194843, -233823?\n\"Answer: -x**2 - 38969*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -15037?\nAnswer: -15038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let a = -17 - -19. What is the second derivative of 3*q**2 + 0*q**a + 8*q - v*q wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 561156, 1122311, 1683466, 2244621, 2805776?\n\"Answer: 561155*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/30 + 4*v**4\/9 - 19*v**3\/9 + 10*v**2\/3 + v - 9. Factor a(y).\nAnswer: 2*(y - 1)**2*(y + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2033 - 12302433?\nAnswer: -12300400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.16 - 32.84. Let z = -35.8 - t. Let w = 2.7993 + z. Round w to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*g - 198*g + 0*g**3 + 9*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/5 + 1270*h**2 + 12708*h\/5 = 0.\nAnswer: -2, 0, 3177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*p + 24*p + 55. Suppose -6*t = -p + 5. Calculate the lowest common multiple of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*c + 203, -19*l + 20*l = -2*c + 209. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*a*m**6 + 6*a*m**3 - 504*a*m**2 - 11*a*m + 8*m**6 wrt m?\nAnswer: -3720*a*m**3 + 36*a + 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -209622 divided by -3\nAnswer: 69874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4, -8, 5\/3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -85.3. Let p = -0.056 + -4.644. Let f = s - p. Which is smaller: -0.13 or f?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69585 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2295 - 311.3705. Let u = -311 - k. Which is the third biggest value? (a) u (b) 0.3 (c) 2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8873 + 10226. What is the greatest common factor of r and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25032310877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - 5*g + 5*g + (-g**3 + g**3 + g**3)*(2*g + 2*g - 6*g)*(-2*g + 6*g + 2*g).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-192)\/(-18) - 4\/6. Solve -5*w + 7*w = -t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**4\/8 - w**3\/6 - 4*w**2. Let d be b(2). Is 1 - -22 - d\/(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 426*a**3 + 1284614*a**2*s**2 - a*s**2 + 281*s**2 + 2504*s wrt a?\nAnswer: 2556*a + 2569228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75f (base 16) in base 10?\nAnswer: -1887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -900*l**2 - 112*l - 11*l - 151*l**2 - 31*l + 7 wrt l.\nAnswer: -2102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/87 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 0 (c) 2 (d) -3 (e) 1\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 + 0.1. Let n = 1 - 1. Let q = -3\/83 + 421\/166. Sort n, q, j in decreasing order.\nAnswer: q, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -1, 2 in decreasing order.\nAnswer: 2, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/(-63)*-69 + 2\/6. Suppose -p = -5*v - 21, 53 = 4*p - 2*v - s. Let q(u) = 4 - 22*u**2 - 2 + p*u**2. Determine q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-10))\/(3\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 57 - 6. Let i be 1 + 0 - 2*-2. Suppose -194 = i*w - f*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, y: 2}. What is prob of picking 3 g?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 43529 + 43541 = -6*q + 6*u, -q + 3*u = 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -902*k + 8910 = 976*k - 1959*k for k.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 2*f - 113, 5*c = 5*f + 550. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - h - 71 = 0, 25*m - 3*h - 3 = 26*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22640 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224 - -68. Let c = -154 - g. Solve c*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5*(2 + (sqrt(99) + (sqrt(99) - ((sqrt(99) + 1)**2 - sqrt(99))) - sqrt(99))) + 0.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2450370 divided by -3965.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -8)*16\/(-10). Let r = t + 8. Suppose 3*x - 6 = m - 1, -3*x - 5*m = -11. Solve -x*p + 5 - 1 = r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*z + 60, -2820*d - 3 = -2819*d + 6*z for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**4\/114 - 35*s**3\/57 + 196*s**2\/19 - 4*s - 6. Factor x(w).\nAnswer: 2*(w - 28)*(w - 7)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 times 3\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11014398 and 16.\nAnswer: 88115184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376280 and 4.\nAnswer: -1505120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 6, -15252 = 4*x - 5*v. Let z be 1\/(-5) - x\/40. What is the common denominator of 53\/20 and z\/300 + (-4)\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + -1 + 7 + -20 + -42 + 42.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1224 and 216.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/7*t + 2\/7*t**5 + 2\/7*t**4 - 16\/7 + 2*t**2 - 22\/7*t**3 = 0. What is t?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 27 = 3*h. Suppose 2 = -2*f + 4. Solve 2*x - h = -f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -19\/15664 (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1 - -2)*84. Let n = x - 333\/4. Factor 0 - 3\/2*j - n*j**2.\nAnswer: -3*j*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 1. Let x(i) = -f*i - 1 + 0*i + 4*i. Let l(z) = -6*z + 3. Let n(t) = -4*l(t) - 11*x(t). Differentiate n(v) with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113983663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 30. Give w(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (9 - (-2 + 9 - -12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - 3) - (-15 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15063.9976 - -15051. Let k = -4.3 - -17.3. Let v = h + k. Round v to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 9. Calculate the highest common factor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255189997 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -229, 131.\nAnswer: -229, -16, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**4 - 138849*h**3 - 2637048*h**2 = 0.\nAnswer: -46264, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 516*c**3 - 5904*c**2 + 23232*c - 30720 = 0. Calculate c.\nAnswer: 4, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3087194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}