diff --git "a/data/dm_maths/full_data_1/11202_11255.jsonl" "b/data/dm_maths/full_data_1/11202_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11202_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s(g) be the third derivative of 0*g**3 + 0 - 3*g**2 - 1\/4*g**4 + 0*g. Let o(i) be the third derivative of i**5\/30 - 3*i**2. What is s(o(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 101386 from -24.\nAnswer: -101410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -0.09 (c) -3649\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 3, c: 5}. Give prob of sequence mm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 - 5*b + 5 + 4*b**2 - 2*b + 0*b. Let n(j) = 13*j**2 - 6*j + 4. Let x(v) = 5*a(v) - 6*n(v). Let i = -1 - 0. Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930160 is divided by 2269?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1755854?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -1530511?\nAnswer: -1530505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -828, -824, -820?\n\"Answer: 4*f - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 339 = -q - 3*j, j = -4*q + 452. Let p = 166 - q. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3806448 times 0.4?\nAnswer: 0.55225792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 3 (b) 0.33 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*o, 100 = 4*r - 5*o - 81. What is the remainder when r is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -194*g - 1252. Calculate o(-6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34396*h + 34449*h = 4346 for h.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699727293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 667 - 338. Suppose -5*o = -5, o - y + 2724 = 4*p. Suppose -8*s + 2423 - p = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d4d (base 16) in base 8?\nAnswer: 16515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o + 3*o + 14 - 5*o. Let l(r) = 5*r + 15. Let x(m) = 2*g(m) - 3*l(m). Give x(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((4\/(-16))\/((-1)\/(-4))). Let l = 0.87 - -79.13. Let n = -79 + l. Which is the closest to k? (a) n (b) -0.5 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340 (base 11) to base 12\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128869 or 129548?\nAnswer: 128869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -636*w**2 + 454 + 368*w**2 - 1389*w**2 - 454 - 2944*w**3 wrt w.\nAnswer: -17664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/(187\/187).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41378650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x - 0. Suppose -2*p = -3*q - 4, -q + 3 = p - x. Suppose 3 + 2 = -p*h + 5*u, -5*h + 4 = -2*u. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c + 6387022 - 6387022.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*r + 37466, 0 = 14*r - 9*r + 5*v - 93665. Is r a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-37)\/k**(8\/15))**(-34))**(-2\/29) assuming k is positive.\nAnswer: k**(-38284\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 489102541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 62*g**3 - 3*g**2 - g + 3. Let w be q(1). Find the second derivative of w*x**2 + 47*x**2 - x - 29*x - 36*x wrt x.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(((-8)\/6)\/(-2)))\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wnwn when four letters picked without replacement from wwwwwnnwnwwwwwwnwnww?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**3 - 2*p**3 + 5*p**3 + (-3*p + 2*p + 2*p)*(-1 + p**2 + 1) to the form u*p**3 + i*p**2 + a*p + t and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26654.847 months in centuries?\nAnswer: 22.2123725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*f + 19*f - 43*f + (1 - 3 + 4)*(-2 - f + 2) + 2*f - 2*f - 2*f - 4*f - f + 3*f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 6*p**3 + 6*p - 6*p)*(1 - p - 1).\nAnswer: 6*p**4 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 3*r**2 - 4*r - 2. Suppose 0 = -5*n + 4*m + 9, 4 = 2*m - 4. Let q be i(n). Let s = q - 18. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10444173 divided by -1.\nAnswer: 10444173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 650\/24 + (-4)\/12. Let m = 2025\/76 - w. Sort -1\/2, m, -3 in increasing order.\nAnswer: -3, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57137389?\nAnswer: 19, 251, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(-1 + -3 + 3). Suppose z*l = -4*l + 336. Let r be (-5 - (-34)\/4)*l. Calculate the greatest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 3. Let m be (-3)\/(-3 - 0)*0. Let d(z) = z**3 - z**2 - z + 3. Let t be d(m). What is k(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 + 11*y - 16. Let b be v(8). Suppose 2*h + 2*r - 3 + 7 = 0, 0 = -4*r - b. Solve t + h*t - 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 1406.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 8*d - 312 = 0. Let p be (-3)\/(-15) + d\/(-65). Solve 0*y - p*y = j + 22, 4*j = -5*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (-1 - -4) + (-3 - (-10 - 2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 1.2, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - v**2 + v + 4. Let f be (2 - 0 - 3) + 6. Suppose c - f*c = 0. Let a be z(c). Let p(w) = -w - 2. Determine p(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(2\/2)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*d**2 - 4\/5 + 0*d - 1\/5*d**3.\nAnswer: -(d - 2)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8646 bigger than -8643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(-2*j + 2*j + 2*j)*(45 + 50 - 39)*(2*j + 4*j - 2*j + (3 - 4 - 1)*(-3*j + 2*j + 0*j)) in the form h + z*j**2 + m*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + 100439\/235. Let s = -424 + y. Solve s*u + 0*u + 24 = 4*n, 0 = 3*u + 3*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {x: 2, s: 1, y: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2. Suppose -5*c - 3*z - 17 = 0, -5*c - 17 - 1 = 2*z. Let x = -135.37 - -135.87. What is the third smallest value in r, x, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j = 5*j + 17. Let z be 19\/(-8) + (3 - 1). Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 1940*u**2 + 228*u + 668. What is the units digit of w(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 63180*g**2 + 126348*g - 63172.\nAnswer: 4*(g - 15793)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*o - 2*v, o + 4*v = v - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 29 = -q, -3*y - 4*q = -0*q - 38. Suppose 4*g - 3*v = 6, v + y - 4 = 3*g. Factor g + 2\/3*d**2 + 2*d.\nAnswer: 2*d*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 9765.54?\nAnswer: 9817.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + x**2 + 2*x + 3. Suppose -20*t - 14 = -13*t. Calculate v(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47668430 < 47668431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319510325.\nAnswer: 5, 17, 113, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 400\/280 + 13 + 288\/63?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8971, -5, 3 in descending order.\nAnswer: 3, -0.8971, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28264909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/((u\/u**(2\/9))\/u)*u**3*u*u*u\/u**(1\/3) assuming u is positive.\nAnswer: u**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 484171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88 (base 12) to base 7.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 105. Let r be (1*27)\/(j\/32). What is the derivative of -r + 10 + g**3 - 8*g**3 - 2*g**3 wrt g?\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-31)*a**(-6\/5))\/(a*a*a\/((a\/(a*(a*a\/a**(-1\/7)*a)\/a*a))\/a*a)*a)**44)**(10\/7) assuming a is positive.\nAnswer: a**(-19844\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 29 = -r, -3*u + 3 = -5*r + 2*r. Let n(v) = -v - 2. Let g be n(-5). Suppose -j = l + 3*l + 8, 0 = -r*l - g*j. Sort 2, 0, l in descending order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-14 - -3 - (-4 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1567482 and 160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -19*x**2. Let b(k) = -k**2 - 25 + 49 - 24. Determine p(b(g)).\nAnswer: -19*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379124?\nAnswer: 2, 94781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1000)*2)\/sqrt(8) - (sqrt(80)*3 + sqrt(80) + -3 + sqrt(80)))*1)**2.\nAnswer: -60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1. Calculate the smallest common multiple of o(-5) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-1))**(-33)\/(d**(2\/5))**(-2\/75))**47)**(-4\/5) assuming d is positive.\nAnswer: d**(2325748\/1875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54470, 108935, 163398, 217859, 272318, 326775?\nAnswer: 381230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(1 + -2) + (1 - 1). What is the common denominator of (94\/12)\/((-4)\/(-3)) and (w - 3)*(165\/(-84) + 3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 3. Suppose 0 = h + d, -3*o - 30 = -4*h + 2*h. Let y = -10 - o. Solve 0 = 5*q + 2*b + 26 - 3, b = y*q + 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2.4, -53, 3\/4, -0.2, -2 in increasing order.\nAnswer: -53, -2, -0.2, 1\/6, 3\/4, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1293.5587 and 4.81?\nAnswer: 1298.3687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 112.39988.\nAnswer: -112.59988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 - 4*s + 9. Let h be f(4). Let t(m) = m**2 - 5 + h - 2*m**2 - m. Give t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 11 - 78 - 9 + 30 - 4.\nAnswer: -s - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -20, 29, -524\/7 in decreasing order.\nAnswer: 29, -1\/9, -20, -524\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2293, -2351, -2409, -2467?\nAnswer: -2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 6*p + 7. Let w be z(6). Let q be (w\/((-14)\/4))\/(-2). Let y = 2 - 2.5. Which is the second smallest value? (a) y (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-3 - 4))\/(1\/118). Let r be (s\/(-3))\/(-3 + 40\/12). Let m = r - -355. What are the prime factors of m?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 407, 757, 997, 1127, 1147, 1057, 857?\n\"Answer: -55*p**2 + 515*p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*y - 12 = -0*h, -h + 5*y + 11 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -17. Calculate the common denominator of (-22)\/10 - (2 + -1) and c\/(-45) - 1234\/36.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -4. Let o = 32 + x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -224 - 18. Suppose -4*r = 22 - l. Suppose -2*v = v + 3*w - 45, -3*v = w - r. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20001\/80 + -250. Let x(v) be the third derivative of 0 + c*v**5 + 0*v**4 - 7*v**2 + 0*v + 0*v**3 + 1\/160*v**6. Solve x(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/12 - -5)\/(2\/4). Suppose 4*m - 35 = -i*j, 15 = -2*j + 5*j. What is the tens digit of (-112)\/280 - ((-1157)\/m + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k + 6. Let d(p) = -p - 2. Calculate -7*d(y) - 2*s(y).\nAnswer: -2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73391 - 1?\nAnswer: 73390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3368?\nAnswer: -3\/3368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/3860 and -17\/9650.\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 15, k: 3}. What is prob of sequence kkwk?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 4*n + 2. Let s(z) = z - 3. Let a be s(6). Let v be u(a). Let l(d) = d**2 + 146*d - 593. Let w be l(4). Solve -12 = v*b - w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7229982.\nAnswer: 2, 3, 103, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.2 (b) -1 (c) 1 (d) 3\/7 (e) 233 (f) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 10 - 4. Put f, 5, 3 in descending order.\nAnswer: 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(a**3 + 2*a**5 - a**3) + 3*a**2 - 3*a**2 + 15*a - 15*a + 1963171*a**5 - 1981420*a**5.\nAnswer: -18245*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 1.08, -1\/3, -3\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7977*k**2 + 7981*k**2 - 15960*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**2*r**3 + 8*k**2*r**2 - 5*k**2*y**2 + 3*k*r**3*y**2 - 212*k*r**3*y + 2*k + 14*r**2*y**2 wrt r?\nAnswer: -6*k**2 + 18*k*y**2 - 1272*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 7*q + 14. Let l be (-1 - -7)*q\/2. Let j = l - -38. Solve -2*b + 0*n + n = -1, 0 = -2*b - 5*n - j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15\/((-12)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 41 (c) -10\/3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 0*z = -208. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*8\/144)\/(6\/(-20)*(-5)\/(-75))?\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 179 + -330. Let c = k + 153. Factor -4*i**2 + 65 + i**3 - 17 - 32*i + 5*i**3 - c*i**3.\nAnswer: 4*(i - 2)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 3:34 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + d - 2. Let r(n) = 2*n**2 - n + 3. Suppose -5*h - 6*t + 20 = -3*t, 4*h - 16 = -t. What is h*g(v) + 3*r(v)?\nAnswer: -2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5) + -3 + -4 + (2 + sqrt(5))**2.\nAnswer: 2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -194*l**2 + 8132*l + 695. Determine m(42).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5712 and 210?\nAnswer: 28560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -234, -353, -476?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 711\/5. Let m(g) = g**2 - 9*g - 3. Let w be m(9). Sort w, l, 0.1 in decreasing order.\nAnswer: l, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 119542?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q - 5*a = 2, 0 = q + 4*a - 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1) + -5 - (-19)\/((-38)\/(-12)). Let h(v) be the second derivative of 0 + 5*v + 1\/36*v**4 + t*v**2 + 1\/3*v**3. Factor h(g).\nAnswer: g*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115688.8g to nanograms.\nAnswer: 115688800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -95314278, 5, -2 in decreasing order.\nAnswer: 5, -2, -95314278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onc when three letters picked without replacement from cncoonccoc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*v + 2 = 0, -x - 3*v + 14 = 3*x. Let n = -8.1 + 8. Is x > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 74. Let d(i) be the third derivative of -i**5\/60 - i**4\/6 - 5*i**3\/6 + 3*i**2. Calculate d(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*f - 11*f + f - 195*f + 24*f.\nAnswer: -436*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/160 and 385\/2695 + (-781)\/1008.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = i + 55. Solve 2*z = -4*h + i, -1 = h - z + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74208 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1 + 1 - 1. Let h be 26\/7 - 56\/(-196). Suppose -b - 12 = -5*j + 1, -2*j - 8 = h*b. What is o(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 33*k**4 - 248*k**3 - 385*k**2\/3 + 2*k + 16\/3 = 0.\nAnswer: -1\/3, 2\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8540648 divided by 2.\nAnswer: -4270324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 22 and -10.516.\nAnswer: 11.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -k - 7, 4 + 1 = x - 3*k. Let g = x - 8. Let y be (g - 2)\/(-5 + -4). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32235284, 32235288, 32235292, 32235296?\nAnswer: 32235300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 5*l - 15, -5*s + 3 = -4*l. Let q(r) = r**2 - r + 2. Give q(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2*4\/(-272)). Let v = n + -45. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.39 + 0.09. Let i = -1 - 0. Let l = i + 1. Which is the third smallest value? (a) 5 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 6*t**2 - 6*t. Let w(o) = 15 + 5 + 10*o + o + o**2 + 6*o**2 - 5*o**2. Let l be w(-2). Calculate c(l).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 616557.9 days?\nAnswer: 88079.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313 is divided by 1287.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 123, 232, 359, 510, 691?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 7) in base 16?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 12*c**2 + 12*c - 11. Let b be g(-13). What is the second derivative of 2*u**3 + 0*u + 0*u - b*u + u wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40844 - -4?\nAnswer: -40840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -1216, 2, -1.41?\nAnswer: -1216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lov when three letters picked without replacement from vallvvvovvalvl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 90366.35 and -176.6025.\nAnswer: 90189.7475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 divided by -1?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827 greater than 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -45, 8\/7, 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 3657728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4295061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(j**2 + 0*j**2 + 2*j**2)*(3 - 5 + 1)*(j - j + 2*j**2) to m + x*j**3 + g*j + p*j**4 + z*j**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101728*b**2 + 233 - 21742*b**2 - 233.\nAnswer: 79986*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174790059.61 + 0.05.\nAnswer: 1174790059.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 10*r - 8. Let q(z) = -z - 2. Determine -d(c) + q(c).\nAnswer: -2*c**2 + 9*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1092916*p**2 + 16836*p - 328 wrt p.\nAnswer: -2185832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -3*k, 5*k = 20. Suppose l*f - 150 - 21 = 0. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19933028 is divided by 472.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 6. What is the units digit of h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610443, 1220933, 1831423?\nAnswer: 2441913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-3 - (-5 + -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 19 = -6*o + o, -4 = -o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:19 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - i. Let m be y(2). Suppose -20*x + 10*x = -40. Factor -x*c**m + 2*c - c + 11*c.\nAnswer: -4*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-2 - -3)*-1. Let n = -3 + h. Solve n = -4*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 3:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 5\/4, 130, 5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/564 and 25\/9?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19810 and 8890728.\nAnswer: 44453640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgzbc. What is prob of sequence gcc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61838851.\nAnswer: 61838851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48\/5 - -766\/85. Sort 4, 0.2, 1\/2, c.\nAnswer: c, 0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 5. Let z be (-1)\/5 - (-96)\/(-20). Let n(t) = t**2 + 5*t + 7. Let i be n(z). Is 16 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and 77\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -7. Suppose 4 = -s - 3*s. Is l equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z - 3. Let c = 0 - z. Let p be (-1 - 1)\/(c + 4). Sort 2\/5, p, 3\/2.\nAnswer: p, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77113535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 705, 695, 685?\n\"Answer: -10*h + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/156 and -37\/69.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3572*g + 33702. Determine v(9).\nAnswer: 1554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -3*a - 168. Suppose 28*w = a*w + 4. Let t(v) = -v**2 + 5*v - 2. Let u be t(3). What is the closest to -0.1 in w, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1.5, -6, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(7) + sqrt(7))*3.\nAnswer: -6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*m - 28194 = 532*m. Suppose -6*s = -m - 17183. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 2 - 7. Suppose -395 = -a*x - n - 98, -2*x = -4*n - 132. Let b be x\/14 + 4\/(-14). Calculate the highest common divisor of 28 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -307*j + 298*j. Let q be (18\/24)\/((-4)\/16). Sort -2, j, q.\nAnswer: q, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jumllujmjjdfuuj. Give prob of picking 1 f and 1 u.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5383 + -5381. Let w(l) = 1. Let x(k) = k - 8. What is t*x(b) + 10*w(b)?\nAnswer: 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*p = 20189 - 8996 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 890\/6 - (-43)\/(-129) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**11))**(-27) assuming z is positive.\nAnswer: z**297","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-23)\/(4025\/30)*-14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29381 * -972\nAnswer: 28558332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -2835?\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8256 and 96.\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 11, 3, -127\/6 in descending order.\nAnswer: 11, 3, 3\/4, -127\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = -h + s, 0 = -2*h - s - 2. Let c(b) = 2*b**2 + 2*b + 1. Let r be c(-2). Let j(i) = -4*i**2 - 2*i. Let t(q) = -q**2. What is h*j(a) + r*t(a)?\nAnswer: -a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**4\/24 - f**3\/2 + 34*f**2 - 1. Let r be -2 - (-3)\/((-3)\/(-7)). Let y be s(r). Solve 5*d - y = 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 2\/5, 3, 19\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 572 - 572.3. What is the closest to 3 in 3, p, 2\/13, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 3*p**2 - p. Suppose k + 2 = -0. Let z be k - 6\/(-4) - 9\/(-2). Determine j(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7182940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**2. Suppose 25*p = 32*p - 14. Let d(l) = p*l - l + l + l. Determine f(d(y)).\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 < 3161752?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4910744 and 107\/3386720?\nAnswer: 98214880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156967, 156586, 156205?\nAnswer: 155824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/11 + 3794*m**2\/11 - 164432*m + 813560 = 0. What is m?\nAnswer: 5, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8981 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 4 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289407354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*12\/8*(-72)\/(-27). List the prime factors of 5700\/(-9)*8\/(x\/(-3)).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553 divided by 2147\nAnswer: -553\/2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22235\/40023*9\/(-210)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1025\/452 - -2\/113. Find the common denominator of y and -89\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, w: 7, r: 1, j: 2, x: 3, l: 1}. Give prob of picking 1 v, 1 w, 1 x, and 1 r.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -150 - -150. Which is the nearest to r? (a) -2 (b) 0 (c) 1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 942*z - 33 + 113 - 214*z - 56 + 159 wrt z.\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five sixths of a hour?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274749127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12855182231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 + -5 - 0) + (11 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2\/11 + 9554*y\/11 + 6372\/11.\nAnswer: -2*(y - 1593)*(3*y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2*j**2 - 4. Let k be t(3). Suppose k*l + 1 - 26 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2426 + 2463. What is the remainder when 403 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3\/3 - 275*k**2\/3 = 0.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10832 (base 12) to base 7.\nAnswer: 120632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -877*t + 872*t - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*g + 17*g - 132 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 52b9 (base 15) to base 13\nAnswer: 7c71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -126 (b) -1\/2 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = 5*f, -2*f - 4 = -4*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 240864, 481413, 721962, 962511, 1203060?\n\"Answer: 240549*d + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t**2. Let v(f) = 7*f**2 - 8*f - 4*f**2 + 8*f. Determine q(v(r)).\nAnswer: -63*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -7. Let z be o*-5*(-1 - -2). Suppose -2*h = -z + 1. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 12. Let i be k(9). Let z(x) = 3*x + 3. What are the prime factors of z(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*1.452\nAnswer: -0.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43147, 43153, 43165, 43183, 43207, 43237, 43273?\n\"Answer: 3*f**2 - 3*f + 43147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -73. Let f = d - 36.3. What is the biggest value in 5, 33, f?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(((-175)\/(-140))\/(12\/24))\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n - 2*n - 3*n)*(3*n - n - n) + (5 - 5 + 6*n)*(-6*n + 55*n + 21*n + (4*n - 2*n - 4*n)*(0 - 1 + 0)))*(-2*n - 2*n + 2*n).\nAnswer: -860*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-1 - (-1)\/((-3)\/(-72))). What is the third derivative of 117*o - 117*o + 13*o**4 - a*o**2 wrt o?\nAnswer: 312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044481?\nAnswer: 47, 71, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4))**(-26))**(4\/31) assuming v is positive.\nAnswer: v**(416\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/60015 and 39\/565.\nAnswer: 6781695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 + n + 2. Give o(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -j - 5*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*h + 80 = -21*h. Solve x = 5*f + 4*x - 34, -h*x - 9 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.7, 2, 3, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-114)\/76)\/(-3 - (-21)\/8). Solve 4*d - 12 = h*j, -2 = -j - 3*d - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d + 1 - 1. Let b(k) be the third derivative of -k**8\/5040 + 13*k**5\/60 - 19*k**2. Let y(p) be the third derivative of b(p). Determine s(y(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**4 + u**3 - 12*u**2 + 2*u + 2. Let y(l) = -6*l**4 - 3*l**3 + 24*l**2 - 3*l - 5. Let i(s) = 5*j(s) + 2*y(s). Factor i(q).\nAnswer: q*(q - 2)*(q + 2)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 4*p**2 + 19539 - p - 19539.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*-2*sqrt(275))**2.\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 1:47 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 7, k: 1}. What is prob of sequence wmmw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r + 2*r. Let k be -12*(r\/(-4) + 0). Let p(z) = 2*z + 0*z**2 + 0 - k*z**2 + 1. Determine p(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v - 49. Is b(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-44 - -45)\/(1 + 0\/(-3))). Determine c, given that 0*c**4 + 0*c**2 + x + 1\/5*c**5 + 0*c + 0*c**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89317126 and 13196.\nAnswer: 6598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011260706098 rounded to 5 dps?\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3240 and 136440?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 3. Let q be i(5). Solve 2*b - q = -3, r - 2*b = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 917\/4248 - -3\/472. Sort -2\/81, z, 1, -0.4 in ascending order.\nAnswer: -0.4, -2\/81, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13332 (base 5) to base 2\nAnswer: 10001000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010948009 rounded to four decimal places?\nAnswer: -0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9 + (-1300)\/120)\/(-3).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 131 + -12. Let u = 3068 - 3038. Calculate the remainder when h is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64759817 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2495 + 9870 - 2470 - 2493 - 2463 + 3*c.\nAnswer: 3*c - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 + 5*x**2 + 9*x**2 in the form b + g*x + k*x**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/5 - 12*m**3\/5 - 38*m**2\/5 + 48*m\/5 = 0.\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921530 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**3 - 3*o**2 + 5*o + 6. Let c = 0 + 5. Let h(d) = -d**3 - 4*d - 7 - 8364*d**2 + 8366*d**2 + 2 - 4*d**3. Determine c*h(m) + 4*n(m).\nAnswer: -m**3 - 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94007821, 188015642, 282023463, 376031284?\nAnswer: 470039105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*x - 584632, -13*x = -17*x - 3*u - 584646. What is x rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 + 99 + 271 + 621)*(-2 - 3*p**2 + 2).\nAnswer: -3393*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*c + 54 + 297, -3*c = -5*f - 517. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.99892 + 16. Round q to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-6 + (-23 - -7))) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 4*a**2 - 7. Let j(d) be the second derivative of -1\/2*d**4 + 0*d**3 - 3\/20*d**5 + 0 - 11\/2*d**2 - 31*d. Determine -5*j(b) + 8*y(b).\nAnswer: -b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 18\/10)\/((-2)\/15). Let x(y) = 7*y - 3. Let o be x(1). Suppose -3*s + o*s = 2*s. Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6151 - -10617. Let h = -304 + b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -194, -328, -480, -656, -862, -1104, -1388?\nAnswer: -1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 34839*a + 2157. Let n be j(-63). What is n rounded to the nearest ten thousand?\nAnswer: -2190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 441*t + 37311. Determine s(114).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-8))\/((-4)\/(-56)). Suppose 0 = -v + 40 + b. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**8\/3360 + 2*x**6\/45 + 11*x**4\/12 - x**3\/3 - 34*x**2 + 3*x. Let j(w) be the second derivative of z(w). Factor j(h).\nAnswer: -2*h*(h - 4)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from uel.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(1\/7))\/c)*c**0)\/(c**6\/(c*c**(1\/3)))*(c**(3\/8)\/c**(1\/3))**(11\/2) assuming c is positive.\nAnswer: c**(-401\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3 and 53\/385.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 + i + 2. Let b be t(0). Let l be b*(9\/(-6) - -2). Let y = l + 10. Solve -3*p - 2*g - g - 9 = 0, g + y = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.989273 micrometers?\nAnswer: 0.000000004989273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 7*d + 19. Suppose -5*r = 3*c + 14, 10 + 6 = -c + 4*r. Let s = -60 - -109. What is the smallest common multiple of s and m(c)?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 378 = 3*i - 0*r, 4*i + 5*r - 509 = 0. Let j = 20197 - 20134. What is the remainder when i is divided by j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 28*f + 30.\nAnswer: -2*(f - 1)*(f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/25 and 2\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 406285.98 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25929 by 387.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -58?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 10*d**2 - 3. Let n be l(9). Suppose -n = -u - 21. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/28032917 and -4\/1158385.\nAnswer: 140164585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3*(1 + sqrt(80)) - sqrt(80)) + (sqrt(80) + -1*(sqrt(80) + sqrt(80) + 2*sqrt(80)))*-1 + 5)*-5)**2.\nAnswer: 15400*sqrt(5) + 101025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*r - 515 = -151 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4353, -4300, -4229, -4128, -3985, -3788, -3525, -3184?\n\"Answer: 2*g**3 - 3*g**2 + 48*g - 4400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22575684.\nAnswer: 2, 3, 1881307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 248177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 626? (a) -5 (b) 1 (c) -14 (d) 0.02 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Suppose -c - 7 = 3*a. List the prime factors of (-21)\/(a - -1)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 27843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10. Let t(v) = -v + 10. Let m(f) = 4*g(f) - 6*t(f). Let z(x) = 5*x - 20. Let i(q) = -2*m(q) + 3*z(q). What are the prime factors of i(18)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.5, 0.01833?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12811 (base 13) in base 12?\nAnswer: 17a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 4. Let n be b(-5). Let k be n\/(-3 - 1)*12. Suppose k*f = -3*l + 38 + 13, -5*l - 20 = 0. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*k + 32 = 0, 3*k - 5*k = 10. Let o be z\/(-18) + 1088\/288. Solve 2*c + 2*c = o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 m when three letters picked without replacement from {w: 2, u: 3, o: 2, m: 2, d: 2, s: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216.28 or 0.61?\nAnswer: 216.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*o - 8, o - 6*o - 10 = -5*n. What is the second smallest value in 1\/4, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1674)\/(-126) - 4\/14. Suppose 21*t + 16 = k*t. Is t\/(1*(-8)\/124) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*u**4 + 4*u**4 + 14*u**5 + 10*u**5 - 9*u**4 - 65*u + 62*u + 25*u**2 wrt u?\nAnswer: 1440*u**2 - 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*1 - (-2)\/(-4). Let n = -9219 - -9204. Put n, 0.5, s in decreasing order.\nAnswer: 0.5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.559 and -0.004.\nAnswer: 0.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 11*o + 4. Calculate j(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39317 or -275223\/7?\nAnswer: -39317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3))\/((-7)\/(7\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 0*i**2 + 0*i**2 + (1 + 0 + 0)*(2*i**3 + 0*i + 0*i) + i + i**3 - i + 8*i**3 - i**3 + 0*i**3 + (4*i**2 + 2*i**2 - 5*i**2)*(0*i - 2*i + 0*i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1199\/7526 - -16\/71. Calculate the common denominator of g and -107\/6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-184)\/69*(-114)\/216 and -38\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/21*9 + 4\/(-14). Let a be ((-280)\/25)\/r*-3985. Is 19 a factor of 4\/14 + a\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -542a (base 15) to base 5\nAnswer: -1032230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-7 + -2 + 32 + -22 - -19)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4266060531 + -4266060505.80000167. Let d = -25.2 + y. Round d to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -12 - 2934\/163. Let v be (-112)\/12*(-7)\/(-8). Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((1 - 7) + 5 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*j = m - 3, 0 = 3*m + j - 12. Let n = -65.89 + -0.11. Let i = n + 65.8. What is the third smallest value in -2\/23, m, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1044665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q - 91. Let d(u) = 2*u + 104. Let a(l) = 7*d(l) + 8*t(l). Let w(g) = -6*g**2 + 0*g**2 + 3*g**2 + 33*g**2. Calculate w(a(c)).\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 1\/5 (c) -2\/13 (d) 5\/15018 (e) -0.2 (f) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*v + 43*v - 57*v - 111*v - 56*v.\nAnswer: -218*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -168 and -18.5.\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 26228*t**2 + 13116*t**2 + 13120*t**2 + 2 - 6*t**3.\nAnswer: -6*t**3 + 8*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -5 (b) 16370 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -9*c - 4. What is b(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.382695 centuries in years?\nAnswer: 438.2695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s**4 + s**2 - 4*s**4 - 4 - 4*s - 9*s**4 to t*s**3 + o*s + y*s**4 + c + n*s**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222 - 120201?\nAnswer: -200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + m - 5, 6*m + 4 = 7*m. What is the nearest to 1 in 41, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -914660 > -914725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:08 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (396\/(-24))\/(936\/(-48) - -18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15046 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 7 = -4*y, 2*y - 4*z = -9*z - 29. What are the prime factors of 32 + (y - -4 - (4 - 3))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let u(o) = 4*o**2 + 2*o - 2. Let k be u(x). Suppose 0*c + k = 2*a + 3*c, 0 = 5*a - c - 11. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.07, 1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycuc when four letters picked without replacement from {r: 4, u: 4, o: 5, c: 1, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 2*l**2 - l**2 - 7 + 3*l - 4*l**2. Let j be a(-4). Let c be ((-126)\/j)\/9 + (-8)\/(-5). Solve i = -2*y + c, 0*y + 3*i = y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -719.6 + 720. Which is the closest to -9? (a) -0.5 (b) 0.03 (c) -2\/11 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**6\/30 - o**5\/40 - o**4\/24 + 32*o. Find v such that q(v) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 5:39 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*b = -257*b - 55. What is the second smallest value in 0.3, 1\/3, b, 5, 96?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7872, -31354, -70490, -125280, -195724, -281822, -383574?\n\"Answer: -7827*z**2 - z - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f**2 + f**2 - 8*f**2)*(0 + 2 + 1)*(-3*f**3 - 2*f**2 + 2*f**2).\nAnswer: -18*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3.6 * 123.6\nAnswer: 444.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -191. Let i = a - -65.1. What is i rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1446 (base 13) to base 9.\nAnswer: -4016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-15) + (-17661)\/1305)\/(0 - (-7)\/3)?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + v - 80, -2*g + 2*v + 43 = -13. Let d(z) = 2*z**2 - 1 + 2*z - 2*z + 13*z**3. What is the remainder when g is divided by d(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 10*x - 9. Let t be u(7). Suppose 3*c = t, c - 2*c = -p - 58. Let l = p - -95. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d**2 + 9 + 347579640738*d - 347579640738*d.\nAnswer: 17*d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -146, -339, -600, -923, -1302?\nAnswer: -1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(32)\/(sqrt(8) + sqrt(72))) - (5*-1*sqrt(130) - sqrt(130))\/sqrt(10))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-488)\/(-61) - ((-592)\/(-56) + -4).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 + 5*c + 6. Let y(b) = -b**3 + 3*b**2 - 3*b - 5. Let g(u) = 3*n(u) + 4*y(u). Determine l so that g(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2. Let t(u) = 546 + 21*u - 528 - 6*u. Let s(j) = -7*j - 8. Let p(h) = -9*s(h) - 4*t(h). Calculate p(q(f)).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 1\/2, 2, -3\/125?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*f - 20017 = 9940 - 9013 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 14, 2, -3, 4 in ascending order.\nAnswer: -6, -3, -1, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6243, -1\/2, -214 in increasing order.\nAnswer: -6243, -214, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 - 71. Let u(b) = -4354*b. Give a(u(y)).\nAnswer: 94786580*y**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2 - 32. Let s(q) = -4*q**3 - 32*q**2 - 4*q + 16. What are the prime factors of s(o)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d7168 (base 14) in base 5?\nAnswer: -402011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let m = 12 - 5. Suppose -m*z = -3*z - 5*q - 8, 0 = -z + 5*q + 17. Is 4 a factor of r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7*t + 27 = 0. Solve h = -t*n + 3, -4*n = -5*h - 7*n - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/494 + -6911\/2470. Let h = 203.31 + -204.01. Is y smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 62*t - 1. Let b(v) = -5*v. Calculate k(b(w)).\nAnswer: -310*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 4.8. Let s be 1726\/(-40) - 8\/(-20). Let q = s + 43. Which is the biggest value? (a) x (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 404872*u**2\/3 + 20487737600*u\/3 - 81970385408.\nAnswer: 2*(u - 12)*(u + 101224)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 339525203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1395*r**2*z**3 - 3*r*z**3 - 88*r*z**2 + z**3 wrt r?\nAnswer: -2790*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqm when three letters picked without replacement from mqqkqqmqqmqqqqmmm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/132 and 25\/20*14\/((-630)\/81).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2755 = 729*b + 1619 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52027226 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, n: 5, t: 4, g: 1}. Give prob of sequence tyg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(10\/2)*(-10)\/(-3))\/((-2768)\/294792).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/14)\/(3*(-3)\/9). Let -10\/7*b**2 + 4\/7 - r*b = 0. Calculate b.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 34*c**2 + 186*c + 77. What is s(27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 12*g + 2. Suppose -3*k + b + 2*b = 21, 2*k = -4*b - 44. Let x be h(k). Solve -x*n - 4 = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2762 is divided by 156.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000315799794 to 7 dps.\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let k be (-4)\/8*1*-14. Suppose 3*q - q = k*q. Let b(w) = 30*w**2 + 15*w**2 - 4*w**2 + q*w**2. Give b(a(f)).\nAnswer: 164*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 577857?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1020, -0.45, -3, 2\/11, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 230618, 230542, 230466, 230390?\n\"Answer: -76*d + 230694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 + 0*x**2)*(-2 + 6 - 2) + (1 - 4*x - 1)*(-2 + 2 - 2*x).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 10*x**2 + 11*x - 10. Let f be g(9). Let c be 2 + f + -1 + 1. Suppose -2*o + c = -3*s, -3*o + s = -2*o - 6. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9265112.\nAnswer: 2, 1158139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -71. Let f = i - 18. Let m = 0.09 + -1.09. Which is the nearest to m? (a) 1\/3 (b) 1\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s - 3. Let i(o) = -o**3 - 13*o**2 + 2*o + 19. Let z be i(-13). What is the units digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10536 and 15144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 9, -3, 8, -11 in descending order.\nAnswer: 9, 8, 2, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 458926 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5 + 7836*n**4 - 2004390*n**3 + 5966184*n**2 - 5950527*n + 1980900 = 0.\nAnswer: 1, 284, 2325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.8. Let i = 38\/3 + -343\/27. Let a = i - -10\/27. Sort -2, p, a in ascending order.\nAnswer: -2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31768 or 31774?\nAnswer: 31768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/240 - 3*u**5\/5 - 36*u**4 - 1152*u**3 + 3*u**2 + 13*u. Factor q(l).\nAnswer: -(l + 24)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q + 3386 + 70 = -45*q. Solve 207 = -3*n + q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/2*(-4 + -6). Let w be n\/2*(-6)\/3. Is 9 a factor of w\/(-10) - (-2)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32 - -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55105.83 microseconds to nanoseconds.\nAnswer: 55105830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/135 and 37\/45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 47 - 25 = 0. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -814*h**2 + 4*h - 139. Let i(n) = 1621*n**2 - 8*n + 277. Let c(o) = -3*i(o) - 5*k(o). Find the second derivative of c(f) wrt f.\nAnswer: -1586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*w + 5*w - 375*w in the form t*w + a and give t.\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16060510121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2593598*z + 9*z**3 - 2593602*z + 5187200*z - 3*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f1 + -563e9?\nAnswer: -562f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1000*i**2 + 17 + 11*i**3 - 1000*i**2 - 17.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(-3*(sqrt(288) - sqrt(288)*5) + (sqrt(288) - (sqrt(288) + (sqrt(288) - 5*-3*sqrt(288)))))*1)**2.\nAnswer: 73724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -205313*i**4 - i**3*m - 252*i**2 - 206*i*m wrt i?\nAnswer: -4927512*i - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*u - 8 = 0, -u - 8 = -4*z - 2*u. Let t = -5 - -11. Suppose -t - z = 4*f. Which is the smallest value? (a) f (b) 3\/8 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42897848 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u + u + u - 3*u + 3*u**5 wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 144. Let t be g(42). Solve -5*q + 2*p = -t, 9*q - 4 = 5*q - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/30 - 2*k**4\/9 - 4*k**3\/9 + 16*k**2\/3 - 2*k + 1. Find h such that r(h) = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 + -372. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -6.587?\nAnswer: 6.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009*-0.3554.\nAnswer: -0.0031986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -27154860 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 3*c)*(2702*c**2 - 2510*c**2 + 5136*c**2) to z*c + a*c**3 + q*c**2 + d and give a.\nAnswer: 15984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + -234 + 10 + -18. Suppose 0 = m - 3*m + 890. Let l = d + m. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 7*u + 8. Let o be b(8). Suppose 0 = 5*l - 4*n - 138, -l - l - 2*n + 66 = o. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -55. Let i be (-6*z\/(-45))\/((-1)\/3). Solve -i*y + j = 21, 0*y - 5*j = 3*y - 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*w + w + 21, 16 = -2*r - 2*w. Let s = r - -5. What is the common denominator of (s\/(-3))\/((-70)\/581) and 67\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19150\/3 + 2\/3*d**3 - 7610\/3*d - 746\/3*d**2.\nAnswer: 2*(d - 383)*(d + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 9:53 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 4?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13*v + 9. Let z(c) = -2*c + 3. Let q be z(-4). Suppose 3*j - 25 - q = 0. Calculate the remainder when u(-1) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3443361 * 6\nAnswer: 20660166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 31 - 7 = 4*o, 5*o = 5*g - 15. Let v be (25\/5 - o) + -14. Is (-5418)\/(-8) - v\/(-40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*k**2*q**2 + 118*k**2 + 3669*k*q**2 - 409*k wrt q.\nAnswer: -24*k**2*q + 7338*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188496?\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -199\/5, 8, -3, 2\/9 in descending order.\nAnswer: 8, 2\/9, 0, -3, -9, -199\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 539915280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56266678?\nAnswer: 2, 13, 41, 52783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-42 - -8) + -22 + 34.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14*(-4)\/140)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - c**2 - 66*c**2)*(2*c**2 - 2*c**2 + 2*c**3) + 17*c**4 - 17*c**4 + 5*c**5 + (-3*c - 3*c + 4*c)*(0*c**2 + 0*c**2 - 2*c**4).\nAnswer: -119*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 564192 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(14\/3)*j)**(2\/39)\/(j*j*j*(j*j**9)\/j*j**(3\/2)\/j*j))**13 assuming j is positive.\nAnswer: j**(-3091\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057095768 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5\/13 + 302*x**4\/13 - 1188*x**3\/13 + 1772*x**2\/13 - 1178*x\/13 + 294\/13 = 0.\nAnswer: 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y**1\/y)\/(((y\/y**(-2\/13))\/y)\/y**(-5)))**(-4\/19) assuming y is positive.\nAnswer: y**(320\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 440523044 (base 6) in base 15?\nAnswer: a59dc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 5:26 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/5)*o)\/o)**31 assuming o is positive.\nAnswer: o**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**6\/6 + 7*a**4\/4 - 2*a**3 - 437. Factor v(x).\nAnswer: -x**2*(x - 2)*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -11. Let i = -8 - z. Suppose -37 - 63 = -i*s. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -422 + 426. Solve -4*v = k*l - 12, -4*l + v - 6*v = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 1919, 5, -4 in increasing order.\nAnswer: -4, 1, 2, 5, 1919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/28)\/(1\/(-7)). Suppose 3 = t*l - 7. Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*f - 10, -2 = 3*f + 4*i - 0. Let b = -0.6 + 0.3. Let t = b + -0.2. What is the second biggest value in 1\/2, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0, 7, -3.\nAnswer: -15, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 16.42 (b) -215 (c) 1\/6 (d) -2 (e) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429228836 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/5 and (1\/(2\/(-3)))\/(1323\/10437)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = r + 3*r. Differentiate 4*p - r + p - 2*p - 2*p with respect to p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001022941 to seven dps.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 51 = -3*j, 3*t - 75 = -8*j + 4*j. Let f = j + 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 260, 512, 764?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -4*z, 3*o + 0*o = 3*z + 6. Let k(q) = q**3 + q**2 + 26. Determine k(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kevveewvuekvcvv. What is prob of sequence ku?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynfnaceeyenfy. What is prob of sequence nan?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -7. Let f = 1113\/11 + -101. Let q(k) = k**3 + 11*k**2 + 14*k + 36. Let y be q(-10). What is the third biggest value in 2\/9, f, i, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5123, 9354, 13585, 17816, 22047, 26278?\n\"Answer: 4231*p + 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 c, and 1 b when four letters picked without replacement from dcccbdbd.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18*h + 5. Let z(c) = c - 1. Let o(r) = -b(r) - 4*z(r). Is o(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.7 + 12. What is the biggest value in r, -1, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 319241286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)*z*z\/(z\/z**5))\/(z*z**(-1\/2))**(-11))\/(z\/(z*z**(-6))*(z*z\/(z\/z**(5\/4)))\/z*(z*z**(-2\/7)\/z)**(16\/3)) assuming z is positive.\nAnswer: z**(233\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 925596 * 18.\nAnswer: 16660728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2773*j = -2674*j. Solve j = 2*q - 1438 + 1454 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Let q = -46 - -54. Let c be q*5\/20*x. Solve -c*h + 8 - 4 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/(l**(-9\/8)\/l*l))\/(l**4*l**(-10\/7)*l) assuming l is positive.\nAnswer: l**(-249\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*o - 18 = 199*o, -2*g - 7514 = -3*o. What is g rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*r + 48*r + 105*r - 17*r.\nAnswer: 229*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1530\/700)\/(-9) + 1\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -482 in 0.03, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - 9*(-77)\/21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 0 + 7\/2*t**2 - 16*t - 16\/3*t**3. Is j(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -256845, -513690, -770535?\n\"Answer: -256845*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -399990 divided by 79998\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/24 + 8*i**3\/3 - 2*i**2. Let u be r(-13). Suppose u*a - 238 = a. Calculate the highest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a2 + -17b?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154162 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmfmz. Give prob of sequence fh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/51600 and -187\/15499350?\nAnswer: 123994800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 + 6*l)*(2 - 4 + 1) + 206*l - 289*l - 679*l)*(-2 + 2 - 2*l**2) as u + c*l + j*l**2 + n*l**3 and give n.\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7770 + 10020. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, -6, -0.1, 0, -2\/105 in decreasing order.\nAnswer: 0, -2\/105, -0.1, -1, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -4)\/((-12)\/(-8)). Let x be 0 - 2\/(-4)*4. Find the third derivative of -2*u**4 - u**x + 3 - t - 1 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 198, 176, 144, 96, 26?\n\"Answer: -p**3 + p**2 - 18*p + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feehehhyxx. Give prob of sequence yfxe.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v + 213*v = -642*v + 95123 for v.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, 2 in decreasing order.\nAnswer: 2, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 11 - 69)*(-h + h - 2*h) in the form v + q*h and give q.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 8:07 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 16*u**2 - 49*u - 2. Is 14 a factor of r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-9) + (-2)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 17201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {r: 1, m: 2, u: 1, y: 2, s: 1, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/(-144) + (-22)\/4)*((-20)\/12 - 5)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i - 2. Let x(s) = s + 6. Let d be x(-6). Suppose d = 4*b, -2095 = -5*r + 7*b - i*b. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 13*s - 979. What is z(0)?\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 408749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 6*p**2 + 3*p + 2. List the prime factors of y(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) - (-2 - 0). Let n(z) = z + 5*z**3 + 4*z - 4*z**3 - 2*z - 6 - 6*z**t. Let p be n(6). Calculate the highest common divisor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17 - 0.112\nAnswer: -0.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1706*y**2 + 7868*y wrt y.\nAnswer: -3412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/8 + 4222091*n\/4 + 17826052412281\/8 = 0. What is n?\nAnswer: -4222091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2555 and 1022?\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -817, -898, -1011, -1156?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/7 (b) 4 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u + 1218 = -38*u + 32*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8467*b = 16927*b - 8465*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -13, 66 in ascending order.\nAnswer: -13, 9, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0 + 0*o**2 + 5*o**2 + 1. Does 6 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*j + 1921458, -99*j = -5*b - 95*j + 3202403. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80697 and 304613.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 108?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let v = 63 - 58. Let q be v + 330\/(-318) - 4. Which is bigger: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 22. Let t be v(10). Let a = 22 + t. Is -1*a\/4 - -34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.56 + -0.6. Let d = -3.04 - r. Which is the smallest value? (a) d (b) -5\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*y**3 - 33*y**2 + 1522?\nAnswer: 141*y**2 - 66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -0.1193.\nAnswer: -0.005965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-200) - (-2)\/(16\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 22 - 8*v - 1\/2*v**2. What is the first derivative of u(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11115 or 1.26?\nAnswer: 11115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 21 = -15 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.3 (b) 0.4 (c) 0.5 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 11.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:49 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3 - 15*j**2 - 9*j + 8 = 0.\nAnswer: -1, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -18c649?\nAnswer: 18c648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 6*m - 2*m)*(2561*m - 141*m**4 - 2561*m).\nAnswer: -141*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -2 - 160\/76. What is the third biggest value in b, -2\/35, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (1105 + -929 + -2 + -11).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*y - 4, 5*y + 3*j + 10 = -2*j. Suppose f + 2*g = y, -3*f + g - 33 = 2*f. What is the units digit of 26*(f\/4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0.1, -1, -5, 0.055?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3795, -3793, -3791?\nAnswer: -3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 4*x + 0*x)*(x**3 - 2*x**3 + 2*x**3) + 12*x**4 - 2*x**4 - 5*x**4 + (6*x - 3*x**2 - 6*x)*(4 + 7*x**2 - 4) - 29*x + 29*x - 11*x**4.\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/j**6*j**(-1\/6)\/j**6 assuming j is positive.\nAnswer: j**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 798391 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -19286823 and -250.37.\nAnswer: -19287073.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 708 - 5?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 837.6263 litres?\nAnswer: 837626.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3))**(-43)*(h*h\/(h**0*h)*h)**1 assuming h is positive.\nAnswer: h**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10073 is divided by 315?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*z + 70*z = 375. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5821530 by -17641.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 + 206870\/((-20)\/(-2)) is divided by 309.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1026832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**5\/20 + q**4\/2 - 2*q**3\/3 - q**2 + 1068*q. Suppose 5*w + 28 = w. Give x(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*((sqrt(7) + -5 + -3 + 5 - sqrt(63)\/(sqrt(108)\/(sqrt(12)*-5)))*-1)**2.\nAnswer: -720*sqrt(7) + 5220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -15*x**3\/2 - 828*x**2 - 12750*x - 4968 = 0.\nAnswer: -92, -18, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 1, 13 in decreasing order.\nAnswer: 13, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6937 (base 15) to base 4\nAnswer: -11130313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 3.2. Let v = f + -3.5. What is the closest to 0 in v, 2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -143 (b) 2\/9 (c) 1 (d) 0.5 (e) -3 (f) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r. Let n be (-24)\/(-10) + (-4)\/10. Let g be (2 - 5)*(-3 + n). Let l(k) = -k + g*k + 0*k. What is l(y(x))?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 + r**2 + 2 + 0 + 6*r - 5 wrt r?\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 3. Let z(n) = n**2 - 1. Give -3*c(q) + 6*z(q).\nAnswer: -3*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 9.5. Let o be (-3)\/(-5)*4\/6. Which is the closest to 1\/5? (a) -0.3 (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374 (base 8) to base 3.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.020162306 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 - -161. Suppose -2*q + 50 = 3*q - 5*c, s*q - 4*c - 54 = 0. Are 72\/5 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/9)\/(-4))\/((-170)\/90*3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204)\/sqrt(48) + -2*2*sqrt(17) + (sqrt(833) - ((-1*(-1 + sqrt(833)) + sqrt(833) - sqrt(833)) + sqrt(833))) + -5))**2.\nAnswer: -42*sqrt(17) + 977\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**6 - 11*f**4\/4 - 21*f. What is the third derivative of j(g) wrt g?\nAnswer: 720*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 18*b**2 - 51*b - 75. What is v(14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(108) - (4 + sqrt(27))) + -1 + (sqrt(24)*-2)\/sqrt(8) + -2.\nAnswer: -14*sqrt(3)\/3 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(85)*-4)\/((sqrt(500)*-1 - sqrt(5)) + sqrt(5)).\nAnswer: -12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 2269390450727?\nAnswer: -2269390450726.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 14*s - 14. Let u be f(-13). Let v(w) = 56*w**2 - w. What is the remainder when v(-1) is divided by (36 - 4) + -2 + u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*-3*5)\/(-2*(sqrt(40) - sqrt(1000))\/sqrt(10)).\nAnswer: -135*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 4912488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 26*o = -20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.963 - -0.037. Which is the fourth biggest value? (a) -3\/4 (b) -0.5 (c) -4\/13 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -216164*j**3 - 538*j**2 + 124*j wrt j?\nAnswer: -1296984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 1359*c - 1363*c. Sort c, -173, 3 in decreasing order.\nAnswer: c, 3, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 651 divide 75672311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by 6602.\nAnswer: 118\/3301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 20*w + 3. Let n be i(3). Suppose -4*o = 5*v - 113, 2*o + 2*o - n = 5*v. What is the greatest common divisor of 176 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-98)*(-156)\/(-104)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5974 - 5891 - (79 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 16*k - 163. Calculate i(-24).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -10)\/(111517\/(-2314) - -48)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaxaaxx. What is prob of picking 2 a and 2 x?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -74890 (base 10) to base 12\nAnswer: -3740a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**0)\/(v*v**(-4\/3)))\/(v\/(v\/((v*v**1)\/v)))**(4\/37))**(2\/23) assuming v is positive.\nAnswer: v**(272\/2553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9724637 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1999\/144 - 311\/16. Let o = 228\/5 + -17987\/395. What is the common denominator of h and o?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -49*q**5\/5 + 3300*q**2 + 3827. What is the second derivative of x(o) wrt o?\nAnswer: -588*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + z = -z - 18, -3 = -3*z. Let y(o) be the third derivative of 0 + 0*o**3 + 0*o**n + 0*o + o**2 - 1\/30*o**5. Let b(s) = 5*s**2. Determine b(y(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 67 = a, -6*v - 4*a - 47 = -9*v. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 2*i)*(3*i + i - 8*i) - i**2 + 3 - 3.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398110131 to the power of 1\/2, to the nearest integer?\nAnswer: 19953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4794 is divided by 2750?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 3101 (c) -2 (d) 0.19 (e) -4 (f) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/6*((-8)\/(-70))\/(2\/(-1)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 - -76.1. Let t = g + 7. Which is smaller: 0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 29. Let f(n) = -n**3 - 6*n**2 - 2*n - 15. Let w be f(j). Let m(c) = 3*c**2 + c - 4. What is the units digit of m(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 + 3 = 0. Let z(p) = 4*p - 3. Is z(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from vsehhhkkhkkhkek?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*a - 20, -3*w + a + a = -8. Suppose -6*y = -7*y. Is (-3356)\/(-4 - w) - y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(3\/22)))**(-5) assuming s is positive.\nAnswer: s**(-15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -164 - -163.8. Let s = -12.1035 + 12.3. Let l = b + s. What is l rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 6*t - 40. Let w(h) = -h**3 + h**2 + 9*h + 12. Let v be w(t). Which is bigger: 1\/104 or v?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 28 + 72 = 0. Let m = 79 + d. Suppose -12*f + 14*f = m. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/632557 or 1?\nAnswer: 2\/632557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 3*s + 3. Let a be g(2). Suppose -15 = 2*i - 5*i. Suppose -8 = -u + i*d - 0, 4*u + a*d - 57 = 0. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/23))**(-6\/13)\/(h**38*h*h**(2\/145)) assuming h is positive.\nAnswer: h**(-1693183\/43355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 4, n: 3, k: 1, q: 3, j: 2}. Give prob of picking 2 q and 1 k.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 223120002 (base 4) to base 10\nAnswer: 177666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-3)*1*10*74\/(-740)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 10*l - 6*l + 172, -164 = -3*z - 4*l. Suppose 2*h - z = h + 4*m, -h + 27 = 3*m. What is the highest common factor of 216 and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52744673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y - 28. Give p(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 12610110*f + 13251239517675 = 0. What is f?\nAnswer: -2101685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.4 + 17. Let k = 2.09756 - 0.09756. Which is the closest to 2\/3? (a) z (b) -1 (c) -4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305513597 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310.7 + -311. Which is the nearest to 2? (a) -1\/7 (b) 0.2 (c) -6 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let s(n) = -n**2 - 4*n + 2. Determine 3*r(v) - s(v).\nAnswer: v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**3 + 3*m**2 - 3*m + 3. Let d(n) = -n**3 - 14*n**2 - 23*n + 7. Let g be d(-12). Let k(b) = 3*b**3 - 5*b**2 + 5*b - 5. What is g*i(t) - 3*k(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 - 2*g + 2. Let m(r) = -7*r**2 - 3*r + 2. Let f(t) = -2*m(t) + 3*p(t). Find the first derivative of f(s) wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19990.31591 + -3252.\nAnswer: -23242.31591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 19. Solve -6 = -b*f + d + 6, -8 = -2*f - 5*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let r(c) = 3*c + 2. Let v(p) = 4*f(p) - r(p). Calculate the remainder when 19 is divided by v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 6*w - 9. Let b = 23 - 16. Let v be d(b). Suppose v = t - 0*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 1)\/((-2)\/1). What is the closest to -2\/9 in 0.02, g, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 59, 79, 107?\n\"Answer: 4*q**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 250853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 457*p**3 - 116*p + 116*p - 906*p**3. Let f be -3 - -1 - (0 + 0). Let m be a(f). Round m to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-51))\/(9\/6). Let l = -0.15 + -0.1. Let i = l - 0.05. Which is the nearest to 0.2? (a) -3 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*p - s, -3*p + s - 2*s + 11 = 0. Suppose 2 = 4*l - z, -1 = p*z + 7. Suppose -4 = -2*t + t. Solve 0 = t*q - l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -1959*r**2 + 2916. Let a(l) = l**2. What is i(a(n))?\nAnswer: -3918*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 4*sqrt(77)*-2 - (-5*-3*sqrt(77) + sqrt(77)))\/((sqrt(99)*-3 - sqrt(99) - sqrt(99)) + sqrt(11) + sqrt(11) + sqrt(22)\/sqrt(2)*6))**2.\nAnswer: 529\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -174 + 172.1. Which is the closest to 0.1? (a) 2 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 + 361*d**2 + 90*d + 12. Determine t(-90).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.3. Let c = q - -4.3. Put c, -3\/5, 5 in descending order.\nAnswer: 5, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 7, 2, 12 in descending order.\nAnswer: 12, 7, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o + 2*o - 6*o + (4*o - 2*o - 3*o)*(-3 + 1 + 3) + o + o + 0*o - 9*o + 17*o + 18*o.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * -3400701.\nAnswer: 57811917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 11 + 11 - 38 + 5 + k.\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 287 = -364 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12020021100020 (base 3) to base 13\nAnswer: -764877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291 - 289. Does 26 divide k\/(6\/(-36)*2\/(-52))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243296 = -12*u + 35*u - 61109. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)\/(3*sqrt(8)*-2))\/(5*sqrt(98)*3).\nAnswer: -sqrt(17)\/630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 6*p + 5. Determine w(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*l - 3*x, -3*l = 45*x - 44*x + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39508 and 48411244.\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*c = 0, 5*p - 4*c = c. Solve -4*f + p = -5*g - 5, -5*g - 5 = 2*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -50*s + 43*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 64*t**4 - 2752*t**3 + 30924*t**2 - 28728*t + 5292 = 0.\nAnswer: 1\/4, 3\/4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**8\/2240 + p**6\/240 + p**4\/12 - 7*p**3\/2 + 32*p**2. Let h(i) be the second derivative of x(i). Factor h(v).\nAnswer: -3*v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10116723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*f = -8*f + 45, y = 4*f - 16. Suppose -3 = -y*b + 5. Suppose b*l + 2*l - 212 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 305 - -420d9?\nAnswer: 42400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4876 and 1299560?\nAnswer: 29889880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0.3, -37\/10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3926 and 28388?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -949124535 divided by 5?\nAnswer: -189824907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53146 = -3*o + 5*n, 74*o - 3*n - 35429 = 72*o. Is o a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 11*h - 6 = 0. Solve -c - h = -3*j + c, j - 4*c - 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = 0, -5*f - 8 = -h - 3*f. Calculate the remainder when 127 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.01594545 rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdd. What is prob of picking 1 s and 1 d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-4)\/(-6 - -2) - -11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -4 + -9 + (65 - (2 + -10 - -8))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -a + 32, -a + 36 = m - 2*m. What is the second derivative of 13732*l + 111*l**5 - a*l**5 - 13710*l wrt l?\nAnswer: 1540*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -5925.\nAnswer: -29625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 3, -5, 5, 294, -1 in descending order.\nAnswer: 294, 5, 3, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 4:23 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/8 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 10*b + 8. Let c be i(8). Let a = c - -12. Is 2*(130\/a)\/5 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234479\/3 + -80701. Let v = 114439\/45 + y. Let f = -169\/30 - v. What is the common denominator of 119\/12 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/10)*j**(2\/7))\/(j*j**(-5)*j**(-6)))**(-5\/12))**(-27) assuming j is positive.\nAnswer: j**(6543\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + o + 7, -2*x - 5*o = -8*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1710946161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1854417.\nAnswer: -556325.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35383*o**3 + 27543*o wrt o?\nAnswer: 212298*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-5))\/((-5)\/50). Suppose 2 = -k*t + 6*t. Let r(p) = -p**2 - 1. Let d be r(t). Sort -4, 3, d in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1528808 divided by 59\nAnswer: 25912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 64, 87, 110?\n\"Answer: 23*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -13*x**2\/2 + 21*x - 89. Let u(b) = 7*b - 11. Let y(a) = -3*a. Let v be y(-2). Let c(z) = v*s(z) + 11*u(z). Give c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/2878926731?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-20) - ((-901)\/340 - (-44)\/16).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1466 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*h**2 + 20*h - 57*h**2 - 20*h.\nAnswer: -136*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 5. Let s(k) = -8*k - 54. Determine s(w) - 10*v(w).\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 9:10 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181856 divided by -32.\nAnswer: 5683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**2\/5 + 1374*z\/5 - 688\/5 = 0.\nAnswer: -344, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**10 assuming i is positive.\nAnswer: i**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471581.\nAnswer: 7, 71, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54669\/11 + 4971. Solve 2*m**3 - 8\/11*m + 0 - 18\/11*m**5 + q*m**4 - 8\/11*m**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 2, k: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -141811 + 7?\nAnswer: -14180a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2219, -4, 1\/2, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1855aa1 (base 11) to base 5\nAnswer: -1301004100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10273, 20790, 31307, 41824, 52341?\n\"Answer: 10517*g - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 greater than -8104031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 20.6. Let a = -5.282 - v. Let s = a - 0.26. What is s rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5609 - 61652\/11. What is the common denominator of s and 83\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1579849 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1754241*v**2. Let c(u) = -229*u**2. Give c(b(p)).\nAnswer: -704715780312549*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 5929.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**5\/60 - 5*d**4\/24 + 3*d**3\/2 + 4*d**2. Let g be h(-7). Let t(o) = -1. Let z(j) = -j + 4. What is g*t(i) - z(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from {v: 1, w: 7, o: 4, f: 2, l: 1}.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -185*g. Let z(l) = -18018*l**2 - 18013*l**2 + 36037*l**2. Give n(z(s)).\nAnswer: -1110*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 40241895 and 5477.\nAnswer: 40247372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1127, 2251, 3375, 4499, 5623?\n\"Answer: 1124*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a factor of 158916160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/5492 and 25\/7?\nAnswer: 38444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6 + (1 + 1 - 3)*(-5 + 1 + 6) - 7 + 4 + 2)*(3*r**2 - r + r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/3 (b) -4 (c) 5 (d) 2 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*h + 1212 = 0, -6*h + 5*h = -3*k + 920. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 3458*k - 1485608.\nAnswer: -2*(k - 932)*(k - 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1539)*1)*4.\nAnswer: -8 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/7, -28\/93, 7, -2 in decreasing order.\nAnswer: 7, -28\/93, -5\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/16137 and -16\/7984229.\nAnswer: 71858061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28340 is divided by 231.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-70)\/(-427)) + (-396)\/180. Let g(w) = -132*w**3 - 10. Let s(m) = -44*m**3 - 3. Calculate x*s(o) - 3*g(o).\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-30)*((-135)\/(-6))\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 2.242 (b) -0.5 (c) 2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 229459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*k - 0*k. Let h = 39\/2 + k. Suppose 4*s = 3*s. Is s smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 - 281*t + 35 - 130*t + 31 - 272*t.\nAnswer: -683*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-5)*(-11)\/(44\/(-18))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 82\/115 (b) -2\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4371 is divided by 873.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 6*q**2 + 2*q + 8. Calculate h(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 19*x + 19. What are the prime factors of y(19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7585 + 7596. Let f(l) be the first derivative of -g*l**3 - 21\/5*l**5 - 54*l + 99\/4*l**4 + 17 - 207\/2*l**2. Find v such that f(v) = 0.\nAnswer: -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/(((q\/q**(-4)*q)\/q)\/q)))\/q)**(1\/5)*((q**2\/q)\/q)\/(q*(q**3*q*q)\/q*q) assuming q is positive.\nAnswer: q**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 0.02 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 + 968\/7. Let q = -9\/1117 + -44167\/63669. Let y = q - -2\/57. Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1513 and -235.4.\nAnswer: -271.01602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8447.939 millennia to years.\nAnswer: 8447939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137065463 or -137065464?\nAnswer: -137065463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -12*i - 3. Let k(b) = -138*b - 7. Determine k(w(c)).\nAnswer: 1656*c + 407","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, 2\/3, -2, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/52 and -53\/468.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -25, -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose z = 4*u + u - 215. Suppose 154 - u = t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + (20 - 344906\/(-248)). Let y = -38 - -55. What is the greatest common factor of y and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -12*s - 30 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1452462893?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 3, g: 5}. Give prob of sequence tge.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/5 - (-7)\/35*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3331068 meters to kilometers.\nAnswer: 0.0003331068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -9*n - 4 - 1\/4*n**4 + 1\/2*n**3 + 3*n**2. Let d(f) be the first derivative of u(f). Factor d(y).\nAnswer: -3*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (-2 + 3 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/4059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32043977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2803, -4100, -5393, -6682, -7967, -9248, -10525?\n\"Answer: 2*s**2 - 1303*s - 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*h - 32 = 0, 7*g = 5*h - 45 - 1 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -19*w - 131. Let z be y(-7). Solve 3*g - 5*g + 6 = -z*b, -3*b + 2*g = 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -2, 1, -3 in descending order.\nAnswer: 21, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/19 (b) -14 (c) 1632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*i + 1080 - 192. Find the common denominator of i\/36 + (-2 - -5) and 149\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3721*f**5\/3 - 44408*f**4\/3 - 2215*f**3 + 490880*f**2\/3 + 32204*f\/3 + 176 = 0.\nAnswer: -3, -2\/61, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-2 - 1) - (25 + -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 50. Give n(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence soi when three letters picked without replacement from {s: 1, i: 4, m: 1, o: 2, g: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -12*r**2. Let z be a(-1). Is (50\/3)\/(z\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 7*q. Let h(l) = 2*l**2 + 6*l. Give 6*h(m) + 5*y(m).\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 7. Let t be z(-6). Let u(c) = -c**3 - 23*c**2 - 30*c - 172. Let k be u(-22). Let y = k + t. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41202041 (base 6) in base 4?\nAnswer: 10200223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*r - 2*r**3 + 5*r**2 - 5*r**2 - 413*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.5, -3, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 173.\nAnswer: 4671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-36)\/21)*(324\/(-56))\/(-3)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -19. Let w = 355 + -354. Sort -5, o, 3, w in ascending order.\nAnswer: -5, o, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -207356162, -414712324, -622068486, -829424648, -1036780810, -1244136972?\n\"Answer: -207356162*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 30. Suppose 23 = 4*k - 5*c, -5*k = 3*c - 0 - z. Solve 0 = -2*g - k*g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-4))\/(6\/1524) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -746770000 rounded to the nearest one million?\nAnswer: -747000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16650 rounded to the nearest 100?\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 10:26 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*o + 20 = -8*g, -2*g - o - 3 = 0. Let v be (g*(-4)\/(-7))\/((-18)\/(-21)). What is the second biggest value in v, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2)\/a*a)**(-32\/3)*(a\/(a\/(a*a**(-2\/13)*a)))\/a*a\/(a**(-5)\/a) assuming a is positive.\nAnswer: a**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 22. Let x be (4 + m)*(-2 - -1). Solve -12 = z - x*u, -z = -2*z - 2*u + 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776\/3184 - ((-99)\/(-8))\/((-12)\/112)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 3*j + 0*j)*(-3*j + 7*j - 3*j)*(4 - 7 - 3) in the form a*j + u + t*j**2 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2841 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-70)\/(-6) + (-19)\/(-57). Suppose -4*y = -p + f, p - y - y = 8. Let b be (p + 120\/(-25))\/(1\/(-495)). What is the greatest common factor of 36 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*(-15)\/(-2520)*-6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41993.7um to kilometers.\nAnswer: 0.0000419937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -969, -1797, -2625, -3453?\nAnswer: -4281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186 - -217. Which is the nearest to -2? (a) r (b) -2\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81439146*h*n**3 - 2*h*n**2 + h*n + 2*h - 2*n**4 + 8*n**2 - 373314*n - 3 wrt n?\nAnswer: 488634876*h - 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.25316t?\nAnswer: 68253160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -8\/15*r**5 - 8\/9*r**3 + r**4 + 0*r + 1\/9*r**6 + 1\/3*r**2 + 18. Factor z(d).\nAnswer: 2*d*(d - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4060, -4, -6, -3, -65.\nAnswer: -4060, -65, -6, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -25*u + 5. Let i(c) = 1. Let d(v) = -g(v) + 5*i(v). Let t(p) = 4*p + 2. Let n(f) = 9*f + 5. Let b(a) = 2*n(a) - 5*t(a). What is b(d(s))?\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 1102507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l + 10. Let g be q(7). Let a be (1*9\/(-6))\/(3\/g). Put 4, 5, a in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48400713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -432961146 rounded to the nearest 1000000?\nAnswer: -433000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2214)\/225)\/(8\/(-10)) and 31\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - 2*o**2 + (o + 1 - 1)*(-o + 3 - 3) + o**2 + 4*o**2 - 3*o**2)*(-850*o - 224*o**2 + 850*o).\nAnswer: 224*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 8*p.\nAnswer: 2*p*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 9*m**2 - 138*m + 11. Let y be c(8). Let w = -2.35 + -0.65. What is the second smallest value in 0.02, w, -0.3, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44077 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 15, -4*q - 7 = -3*l + 4*l. Suppose 24 = -3*s + 72. Sort s, 3, l, 0.\nAnswer: 0, 3, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 407?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, e: 1, w: 1, u: 5}. Give prob of sequence we.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - k = 17, -6*k + 28 = 4*c - 10*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qppq when four letters picked without replacement from pqpqqppqpqpq.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*q = -35*q + 320. Let m be (-6)\/(-15)*-1*5. Let o(r) = -3*r**2 + 1. Let c(u) = 6*u**2 - 3. Determine m*c(f) + q*o(f).\nAnswer: 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**5 - 27*u**4 - 234*u**3 - 516*u**2 - 360*u.\nAnswer: 3*u*(u - 15)*(u + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -877515026.0000053 + 877515090. Let d = -64 + o. Round d to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8410 is divided by 230.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times 29?\nAnswer: 1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 69?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 4. Let p(j) = -3*j**3 + 5*j**2 + 3 + 61*j + 59*j + 2*j**3 - 126*j. Let m be p(2). Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 28 + 7 = 4*k, -t - 5 = -k. Solve c - 5*a + 30 = -2*c, 0 = -c - 5*a + k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**(-6)\/h*h))\/(h\/h**2*h))\/((h*h**(1\/4))\/h)**(-2\/85) assuming h is positive.\nAnswer: h**(1361\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 11:00 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from {x: 8, q: 4, s: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1267 = -18*i + 5875. Let s = i - -251. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.2709 * -2182.\nAnswer: -4955.1038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -14*q + 5, -4*b + 21 = -3*q. What is the lowest common multiple of b and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -23. Suppose 9*h - y*h = 0. Solve -3*a - a + 16 = h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 - -193. Let q be -3 + (r - -2) + 33\/(-21). What is the closest to -13 in q, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780 and 2148.\nAnswer: 139620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -16. Let z = 1.8 - x. Round z to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j + 17. Let q be s(-5). Suppose -q*l - f = -2, -f = -2*l + 4*f + 26. What is the least common multiple of l and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 171.395 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 10\/191, -2\/23, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 21*b + 4629 = 0. Let p = 12382 - b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 4 = 52. Let w(s) = 3*s**2 + 2*s - 21. Let q be w(p). Let l be ((-2)\/4)\/((-1)\/28). Calculate the highest common factor of l and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 252*h + 7060. Let l be n(-28). Solve -8*a + l*x = -13*a - 10, 2*x = -a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l**2 + 4*l - 4. Let v be m(2). Let b(j) = -2*j**3 - 28*j**2 - j + 28. Let f be b(-14). Calculate the highest common divisor of v and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3\/6 + 3*x**2\/2 + x. Let a(y) = 2. Let p(c) = -5*a(c) + 3*z(c). Find the first derivative of p(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((6662750\/203)\/(-25))\/(4\/(-112))?\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12405393, -12405392, -12405391, -12405390?\nAnswer: -12405389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/2 - 2333*m\/2 - 4658 = 0.\nAnswer: -2329, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**32*l)\/l*l**(4\/19))**(-35))**(-4\/15) assuming l is positive.\nAnswer: l**(17668\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -5, 0.3, -780, 0 in increasing order.\nAnswer: -780, -5, -2\/9, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16) - (-7275)\/600?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 8. Let i(m) = -3*m + 9. Let g be i(3). What is the smallest value in -0.5, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, -1, -69 in increasing order.\nAnswer: -69, -5, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9)\/(-45) - 838\/(-10) is divided by 216 + -204 - (2\/5)\/(6\/15).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 9, a: 1, x: 1}. What is prob of picking 1 a and 2 h?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3909.053225 + -3909. Round x to four decimal places.\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275\/165*(-18)\/(-735)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17255073 is divided by 1132.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11748*m**3 + 3365*m**3 + 3366*m**3 - 18481*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 410252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 140*g + 1762. Determine d(-14).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let i(o) be the third derivative of -o**5\/10 + 5*o**4\/4 - o**3\/6 + 66*o**2 - 4. Determine i(f(k)).\nAnswer: -24*k**4 - 60*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 11. Let z(a) be the second derivative of a**3\/6 + 5*a**2 - 47*a + 2. Calculate 3*u(v) - 4*z(v).\nAnswer: -v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5114725001?\nAnswer: 151, 5813, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 5 (c) 0.09 (d) 10 (e) 2\/5 (f) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a**3\/3 - a**2\/2 + 3*a. Let r be h(1). Suppose -r*j - 8 - 96 = -2*y, 5*j - 136 = -2*y. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 7\/1689140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: What is prob of sequence jj when two letters picked without replacement from {d: 2, j: 10}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34703 greater than 34701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -905.\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 - -121102222101?\nAnswer: 121102221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, -0.05, 5 in increasing order.\nAnswer: -8, -1, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j + 107 - 107 - 2*j**2.\nAnswer: -2*j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 872?\nAnswer: -872.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -3*s + 4*r, 4*s + 2*r - 24 = 0. Suppose 3*n - 6*n + 6 = 0. Let i(w) = 5*w - 6 + w**3 + 6 - s*w**n. Let h(t) = t**2 - t. Give 4*h(b) + i(b).\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 12*k**2 + 15*k - 2. Let x be y(12). Suppose 4*s - 161 - 365 = -3*n, 0 = n + 2*s - x. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**3\/3 - r**2\/2 - 10*r. Determine a(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 704*b*h**2 - 4*b + 22954*h**2 with respect to b.\nAnswer: 704*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -4 (c) -9\/40 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 72. Let d be w(-24). Let g be (-4)\/14 - 172\/(-14). Calculate the greatest common factor of d and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 24?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38621\/335 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b**3 - 3*b**2 - 3624326*b - 32600329 wrt b?\nAnswer: -6*b**2 - 6*b - 3624326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213.7 + -157.7. What is the nearest to -0.1 in 1, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 193.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h - 1. Suppose r - 11 - 33 = -5*o, 0 = -5*r + 2*o + 139. What is the remainder when r is divided by u(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.2. Let t = -1.3 + 0.6. Let f = -0.2 - t. What is the nearest to -3 in h, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 5*i**2 + 6*i - 5. Let l be d(4). Suppose 2*j = 5*x + l, -2*j - x + 30 = 3*x. Let a = 48 + -39. What is the greatest common divisor of j and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k*l**5 - k*l + 2*k - 444*l**5 - 29*l wrt l.\nAnswer: 20*k*l**3 - 8880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kvlkvelvvllvrev. Give prob of picking 1 l and 1 r.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 5. Let y be s(-5). Suppose y = d - 4 + 1. Suppose 0 = -l - 7*h + 4*h - 1, 0 = 2*l - 2*h - 14. Solve 3 = -2*i - 5*t, 2*i - 4*i = d*t + l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4 - 652*a**3 - 28843*a**2 + 298990*a - 693000 = 0. What is a?\nAnswer: -50, 4, 5, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1275 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (2 - 1))\/(-2). Let n = 0.5 - 0.1. Let c = 4.4498 - 0.4498. Sort n, a, c in decreasing order.\nAnswer: c, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/408)\/((-24)\/(-144))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -121850728704 and -0.74.\nAnswer: -121850728704.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10713 take away -0.12121?\nAnswer: 0.01408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 3*z**8\/56 + 61*z**5\/60 - z**4\/12 - 113*z**3\/3 + 2*z**2 + 1636*z. Find the second derivative of s(c) wrt c.\nAnswer: 360*c**3 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(5) + -5.\nAnswer: -7 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13449 times 0.3\nAnswer: 4034.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 2. Let s be n(0). Suppose 2*h - 20 = -3*c, 4*c + 5*h - 36 = -0*c. Suppose -8 = -c*l - d + 8, -5*l = d - 20. Solve 2*i - l*i = s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 902691686?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 2*j**5\/15 - j**3\/6 + 18*j**2. What is the derivative of z(w) wrt w?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0.5 (b) -7 (c) 3\/5 (d) 0.28 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 2*o**2 - o - 31. Let u be (-22 - -22)\/(8 + -9). Give k(u).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 7*n + 6. Let r(a) = -8666*a + 1 + 8663*a - 4. What is -5*r(l) - 2*s(l)?\nAnswer: 2*l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 11*b**2 + 5*b + 2. Let n be s(5). Is (n\/(-9) + 4)*21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c + 60*c = -24. Suppose 0 = 4*o - 2*i + 5*i - 32146, -c*o + 5*i = -32130. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r*r*r**(-14)*r*r)*r)**(3\/2))**(-23) assuming r is positive.\nAnswer: r**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by 348970.\nAnswer: 87\/348970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 0, -3555003 = 3*b - 2*b + l. What is b rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 3*s + 2. Let w be b(4). Let q be (-6)\/5*5\/w. What is the second smallest value in q, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -905*q + 1738*q - 1061*q - 13324 + 2608 for q.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:48 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -41*4\/20 - -8. Which is the third smallest value? (a) k (b) -178 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p**4 + 9\/20*p**5 + 0 + 35\/6*p**3 + 0*p + 11*p**2. Find the first derivative of x(d) wrt d.\nAnswer: 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46261 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -7*g - 6. Suppose g = s, 3*a + 4*s + s = 0. Sort 1, 3, a.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + -4 + (sqrt(304)*3 - sqrt(304)) + 5)**2.\nAnswer: 32*sqrt(19) + 2434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.66 + 0.45. Let t = 3 - 2.8. Let p = t + v. Round p to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: dd (base 16) to base 9\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133583 or -133581?\nAnswer: -133583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 9052 in ascending order.\nAnswer: 0.3, 1, 9052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4351*l - 2173*l - 2190*l = 444 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165559928 at least as big as 165559929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -942?\nAnswer: 94.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.755 - -11.155. Which is the smallest value? (a) 2 (b) 0.5 (c) z (d) -3 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*r = -5*n + 99, r - 180 = -2*n. List the prime factors of n.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 2, w: 1, r: 2}. What is prob of picking 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 8 + 0 + 3. Let f(y) = h - 3 + y - 8. Let n(a) be the first derivative of 3*a**2\/2 + 2*a - 211. Give 2*f(l) - n(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297 and 28611?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/5 - 161*h\/5 - 628\/5 = 0 for h.\nAnswer: -157, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2002011 (base 3) to base 14\nAnswer: -7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19358.816037 - 19358.9. Let d = 0.084 + g. Round d to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892321759.\nAnswer: 7, 139, 917083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1155725 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 83023 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ppssps.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11279*f**2 + 1462*f - 7 wrt f?\nAnswer: -22558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52931.\nAnswer: 41, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000696151754 to 6 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -5\/6*l**3 + 1\/360*l**6 + 0 + 6*l + 0*l**2 - 1\/60*l**5 + 0*l**4. Let z(u) be the second derivative of t(u). Factor z(n).\nAnswer: n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*p**2 + 19*p**2 - 7*p**2 + 111 - 7*p**2 - 7*p**2 - 552*p = 0. Calculate p.\nAnswer: -37, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-1244)\/(-4) + -6*(-12)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 40 = 2*x. Suppose x*r - 74 = 10. Suppose -3*y + 45 = r. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2335, 9472, 16609, 23746, 30883, 38020?\nAnswer: 45157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r)**(-10)\/(r**(2\/5))**(-4\/15) assuming r is positive.\nAnswer: r**(-414\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 27 (b) -1 (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzmvvmmznmzn. What is prob of picking 1 m and 1 z?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/132*(-198)\/108)\/((-2)\/(-132))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - o)*(7 + 11 - 8 + (2 + 0 - 1)*(3 - 18 - 2))*(2 - 6 + 3)*(-3 + 3*o + 3).\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 7\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-28)*(-456)\/(-19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -562351412749 and 0.1.\nAnswer: -562351412748.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-126) + 5\/(-7). Let r = -154 + 466\/3. Let u = 4 - 7. Which is the nearest to y? (a) -0.3 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -512 + 566. What is the greatest common divisor of b and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144d (base 14) in base 7?\nAnswer: -13326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12) + 17\/3. Let f(g) = 11*g + 5. Let k be f(d). What is the highest common factor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 130\/41?\nAnswer: 130\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 + 0. Let j = k + -15. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*g - 0*f - 4*f, 0 = 2*f - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 3*w - w**2)*(-10 + 1 + 0 + (-3 + 4 - 2)*(-9 - 14 + 4 + (0 + 0 - 2)*(-1 - 1 + 0))) to f*w**2 + m*w + p and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a + 9*a = 5*a + 865 + 1553 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mp when two letters picked without replacement from {i: 1, m: 4, w: 1, p: 4, v: 5, c: 3}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-210)\/4)\/3*(-24)\/14. Suppose -15*j = -17*j - z. Let v = j + -1. Round v to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18189.\nAnswer: 3, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/128 and 13\/20?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -911 - 0.5229\nAnswer: -911.5229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 251.1 or 28.57?\nAnswer: 251.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 1. Let i(z) = 4*z + 13. Let m(a) = -6*g(a) - i(a). Suppose 0 = 2*r - 2*h + 6 - 26, -h - 20 = -3*r. Give m(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41082 or 41424?\nAnswer: 41424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 + n**3\/3 + n**2\/2 - n + 1. Let z = 1 - 36. Let w = z + 33. What is k(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167 + 411 - 16 - q**2 + 205 - 18*q + 199.\nAnswer: -q**2 - 18*q + 632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 19540420\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 213121765\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/(-8))\/(-2 - 2 - (-86723)\/21680). What is a rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52390976 and 704.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - -1 - (-1 + -1 + 14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19 - -2) + 35 - -13) + -7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/43 or 0.0365401?\nAnswer: 0.0365401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + -52?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -10*l**2 - 3*l - 3. What is s(-2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011010101110100110010 (base 2) in base 15?\nAnswer: -1574245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1354 - 220 = 7*a. Suppose 5*l - a - 138 = 0. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*((-18)\/16)\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 3. Let h be y(-5). Let c be -1*-1*h\/2. Let b be c + -1 - (-1 + 0). Which is bigger: 1\/7 or b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 26 - 108 = -3*h, -h + 14 = 4*v. Suppose -9*n - 336 = -h*n. Solve 10*t = 14*t - n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19146*j + 164 = -19199*j + 429 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81220 = 1612*c + 73160 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 - -26 - -4*1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -79, -171, -297, -457?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*k + 37. Suppose -k*o + 214 = 4*r, o - 2*r = -3*o + 256. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prgpqqgr. Give prob of picking 1 g and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 10, 3*x + 0*x + y - 7003 = 0. Let o be 2\/(-10) - x\/(-80). Put o, -4, 3, -5 in descending order.\nAnswer: o, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*a - 34 + 10, -4*a = -f - 15. Suppose -a*g = 2*g + 2*i - 17, -9 = -4*g + 3*i. Factor 1\/3*x**g - x**2 - 1\/3 + x.\nAnswer: (x - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1371*q - 794637 + 794637.\nAnswer: 1371*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**2 + 2*l. Let p(t) = -1617*t**2. Determine j(o) - p(o).\nAnswer: 1625*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -4) + 1 + 2 + 2 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38871 divided by -5.\nAnswer: -38871\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i + 48. What is the highest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 5. Let m be b(5). Solve m = g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 11 = -9. Suppose i*g + 3 = -4*o + 2, -3*o - 2 = 5*g. Which is the biggest value? (a) o (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-285)\/10)*189\/14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*m. Suppose 4*j - 5 = m. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-372)\/(-56))\/((-72)\/(-2)). Let q = 1979\/24 - 165\/2. Let s = q + n. Which is the nearest to 0? (a) -0.4 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206899613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(0 + 0 - 2*i)*(2 - 1 - 2)*(-3*i + 1 - 1).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1255 is divided by 170?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 at most as big as 1136\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 y when four letters picked without replacement from {y: 1, c: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 349264*z**2 + 7625131540*z + 45738216600.\nAnswer: 4*(z + 6)*(z + 43655)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27361, -218860, -738653, -1750888, -3419713?\n\"Answer: -27358*a**3 + a**2 + 4*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, 2, -2.2, -44.\nAnswer: -44, -4, -2.2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10461)\/39*1\/(-122). Let k = -174\/61 + w. Find the common denominator of k and 97\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 5. Suppose -6 = -3*z, 144 = 3*i - m*z + 6*z. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**3 - 14*h + 8. Let p(x) = x - 10. Let m be p(7). Let s be (-20)\/3 + 8\/(-6). Let q(z) = 3*z**3 + 5*z - 3. What is m*y(f) + s*q(f)?\nAnswer: 3*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/3483456 and -119\/576?\nAnswer: 10450368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p*v**2 + 33*p*y**2 + 2*v**2*y**3 - 33*v*y**2 - 2*y**3 wrt v.\nAnswer: 8*p*v + 4*v*y**3 - 33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72, -147, -222, -297?\n\"Answer: -75*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32855?\nAnswer: 5, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from ffgfh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*z - 42*z + 15*z as q*z + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703631892 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*z + 2. Calculate the remainder when (-1 - 0 - -15)*z is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242819887 rounded to the nearest one million?\nAnswer: 243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 87*(-1416)\/3528 - -35\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*2*-5 - (sqrt(5)*-2 + -3).\nAnswer: -8*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 695.8194ml?\nAnswer: 0.6958194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1514 <= -1516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70271658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, w: 1, l: 3, m: 2}. What is prob of picking 1 y and 1 l?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*k = 10*k - 222 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -53. Let b(k) = 299*k + 390. Let h(w) = 10*w + 13. Let m(j) = r*b(j) - 91*h(j). What is the tens digit of m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(45)\/sqrt(3))\/sqrt(3)*-4.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - sqrt(27))*-2 - 1*(sqrt(3) + 1)) + 0 + ((sqrt(3) - (sqrt(3) - 1*sqrt(3)) - sqrt(3))*-3 - sqrt(21)\/(sqrt(7) + -2*sqrt(7))))**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 11605*v**4 - 13605*v**3 + 1980*v**2 + 20*v = 0.\nAnswer: -2\/211, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-8)\/12)*-2. Suppose -156 = -l*n + 270. Let x = -67 + n. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004123535 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-7) + -1 - 204\/(-21). Let q = u + -1. Calculate the remainder when 17 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + -3*(4 + -2*(0 + sqrt(2057)))))**2.\nAnswer: -7392*sqrt(17) + 296992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 12:30 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/389 + -6489\/2221579. Let o = w + -102776\/62821. What is the common denominator of o and 21\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1)*7 - (-2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 20*h - 81 = 7*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 2*l**2 + 15*l - 1. Let s be k(5). Let i be (-254)\/8 + 6\/8. List the prime factors of 138 + i + -1*1 + s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6 - -0.4. Let y = v - -0.6. Let x = 4.7 + 0.3. Put x, y, -5 in increasing order.\nAnswer: -5, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-25)*(-2)\/(-36)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 41*k - 37*k - 6, -5*k + 5*b + 10 = 0. Let v be 12*(-4)\/(-12) - k. Solve 12 = -v*d + 4*f, -5*d + 5 = 3*f + 2*f for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 18*z**2 - z + 7*z as b + i*z**2 + s*z and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -18\/11 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -15. Let c(n) = n**2 - 12*n + 13. Let w be c(i). Solve -4*r - 23 = -2*q - q, w*q = -2*r - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 110, 0.2, -127 in increasing order.\nAnswer: -127, 0.2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuuueuaauaeueee. Give prob of sequence eaa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and -3*42\/36*-2?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.109119377 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 74.96583ug?\nAnswer: 0.07496583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4992 and 58968?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -120*g**2 + 9955*g + 422. Calculate j(83).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/3364 and 28163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -417567 or -417593?\nAnswer: -417567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6514946.\nAnswer: 2, 67, 48619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 1, o: 1, l: 1, x: 2, u: 2}. What is prob of sequence sub?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16664096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1682 + 348. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111 - 11000101100010?\nAnswer: -11000111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -11. Let v = 3 - -1. Suppose 0*o = -v*o - 20. Which is the closest to 0? (a) o (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*w - 0. Solve 4 + w = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2364 and 6188?\nAnswer: 3657108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(384)*-1 + -1*sqrt(384)*1)\/((-3*sqrt(72)\/sqrt(3))\/sqrt(3)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - 8*q - 15. Let f be x(-6). What is the highest common factor of 33 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2273*t**4 - 2960*t - 6*t**3 - 4224*t**2 + 4211*t**2 + 2268*t**4 wrt t.\nAnswer: -60*t**2 - 36*t - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**29\/i*i**(-2)*i*i**(6\/5)*i*i**(1\/5)*i assuming i is positive.\nAnswer: i**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/5)\/c**(-2\/13)*c*c\/c**(2\/7)*(c*c\/(c\/(c\/(c\/c**(-3)))*c)*c)\/c assuming c is positive.\nAnswer: c**(-697\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o - 27*o + 52 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -151 - -4?\nAnswer: -14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -127 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(432)*-1)\/((sqrt(360)\/sqrt(6))\/sqrt(5)))\/((sqrt(300) - ((sqrt(300) - (-4*sqrt(300) - sqrt(300))) + sqrt(300))) + -1*3*sqrt(12)))**2.\nAnswer: 3\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by (-1 - 6\/4)*(-14)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 262, 265, 270, 277, 286, 297, 310?\n\"Answer: p**2 + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 0 = -n*o + 116524 + 11476. Round o to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 22 = -4*f, 3*c + 1681*f = 1684*f + 48 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4 - 50960287*a**3 - 837042780*a wrt a?\nAnswer: 36*a**2 - 305761722*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (-6 - (5 - (22 + -11)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -328 - -29?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (4 - 4) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26609707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000079006 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 5*d)*(-36*d**2 - 20*d**2 + d + 7*d**2).\nAnswer: 98*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34 + 13.66. Let v = y + 1. Does -1\/2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let s = 0.6 + 8.4. Let r = s - 8. Which is the second biggest value? (a) y (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 4*a. Let i = 2 - 5. Let r be v(i). Calculate the highest common divisor of r and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**3*b)\/b*b)\/b**(-2\/13)*(((b**(2\/5)*b)\/b)\/b)**32)**(-17\/6) assuming b is positive.\nAnswer: b**(7208\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - 3*1*20\/30. Suppose 0 = 3*v, 0 = -5*c + w*c - 2*v + 10346. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6383 and 129545?\nAnswer: 63606595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(33\/(-44))\/(12\/32).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124939, 124938, 124937, 124936?\nAnswer: 124935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 229 = -5*u, -66 = -f + 5*u - 2*u. Let y = f + -33. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 23 = -6*x. Suppose -o = -5*o - 2*m + 238, 5*o - 284 = 2*m. Let k be 5\/(-20) - (2 + o\/x). Solve k*y + 2 = 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.9 in 5, -3, -1276, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = h - 27, -3 = 4*h - 5*a - 60. Suppose 0 = m + h*m - 3895. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 2 (b) -8 (c) 53458\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by 6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 10*r + 15. Let u = -92 - -86. What is b(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + 115?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6936, 6934, 6932?\n\"Answer: -2*g + 6938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2646*t**3\/5 - 564102*t**2\/5 - 107376*t\/5 - 5112\/5 = 0.\nAnswer: -213, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s + 442 + 53. Suppose -42 = -j + 61. Let b = s + j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90969106 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -1023?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -17, -5, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + 9.87. Let v = -4 - g. Let h = v + 13.9. What is the nearest to h in -0.4, 0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 375.505 centuries?\nAnswer: 450606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x + 42. Let z be l(5). Suppose 0 = k - z + 1. What is the remainder when 6\/9 - 116\/(-6) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m**2. Let j(n) = -6*n + 4. Let z(k) = -3*k + 1. Let q(c) = -j(c) + 3*z(c). Let w(g) = -5*g + 6. Let h(f) = 6*q(f) + w(f). Determine o(h(d)).\nAnswer: 5290*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + 2*p**2 + 22*p + 2. Let s(t) = 3*t**3 + t**2 + 20*t + 1. Let x(q) = 7*s(q) - 6*w(q). Let l(r) = -r**3 - r + 1. Calculate 5*l(z) + x(z).\nAnswer: -2*z**3 - 5*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {b: 2, o: 1, a: 4, p: 1, n: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(156) - -2*sqrt(156)*3)\/(sqrt(768)*3*-5*1))**2.\nAnswer: 637\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*2\/(2 - 4). Suppose 0 = -i*z + 2*z - 6. Solve 0*n - 3*n = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2238817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 6*n - 6. Let l be d(4). Let z = l - 2. Let q(h) = h**2 - 5*h + 4. Let f be q(6). Solve -6 = 3*g, z*g = -v + 3*g + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/17 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/4 - (-4478)\/(-18). Let c = l - -247. Let h = -0.02303 - -0.02303. What is the nearest to h in -0.3, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 8*o**7\/105 + o**5\/30 - 25*o**3\/6 + 24*o**2. Differentiate f(j) with respect to j.\nAnswer: 64*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -482 + 478.99. Let c = s - -0.01. Let l = 4\/23 - 35\/69. Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*l + 78, 5*u - 34 = 3*l + 96. Let q(k) = -5*k + 1. What is the lowest common multiple of q(-1) and u?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 14 = 4*x - x, -4*k - 12 = -2*x. Let q be k + 6\/2*52\/6. Find the second derivative of q*a - 58*a**3 - 3*a**5 + 58*a**3 wrt a.\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j**3 - 88 - j + 89 + 6*j**2 - 4*j**3. Suppose -2 - 2 = -i. Suppose 2*d - 30 = 4*p + 5*d, 0 = -i*d - 8. Give u(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 2*a)*(-a**3 - 2*a**3 + a**3) - 3*a + 3*a**4 - 5*a**4 + 4*a.\nAnswer: -4*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 4*s + 4. Let k be t(4). Suppose k*u = u + 6. Let b(j) = 8*j**u + j - j - 9*j**2. Let x(h) = -5*h. Determine b(x(y)).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/733 and -74\/903?\nAnswer: 661899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*h + 220258 = 87066, -5*m - 2*h = -666079. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1008 in -0.2, 0.2, -102.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 9*o**3 - 2*o - 21*o**2 - 14*o**2 + 36*o**2 + 0*o as w*o**2 + l + s*o**3 + q*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3126403*f - 3129146*f - 968*f**5 + f**4 - 438*f**5 - f**4 wrt f?\nAnswer: -28120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 27 + 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:52 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 23217 + 13*o**2 + 23217)*(10 - 10 + 4*o)*(-4 - 3 + 3) as j*o**3 + f*o**2 + q*o + a and give f.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:18 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -2)*4\/(-2). Let a be 2\/30*(14 + (6 - 23)). What is the nearest to -2\/5 in 2\/15, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -80, -9625, -5?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -351, -459, -557, -639, -699, -731?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363499*j - 15457 = -362966*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3 + 670*a**2 + 111552*a - 225792 = 0?\nAnswer: -336, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-1 - 0) - -2. Let d be -1 - -5 - (-112)\/(-24). Which is the closest to m? (a) d (b) -1\/3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*v**4 + 21*v**4 - 97*v**4 + 47*v**4 + 1 - 88*v**2 to w*v**4 + z + s*v**2 + c*v**3 + a*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 w when four letters picked without replacement from dfwqwwdkfqkwkdfdwd.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 3. Let u be x(-8). Suppose -5*p + 5*y - u = 0, 0 = -3*y + 2*y + 4. Suppose -6*w = -10*w - 16. Is w equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 153*h**3 + 39*h**2 + 39. Let n(v) = 8*v**3 + 2*v**2 + 2. Calculate -117*n(k) + 6*x(k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.1401?\nAnswer: 0.04203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/124 and -81\/176.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*d*k + 31*a*d + 2*a*k + 2*a - 371*k - 1 wrt d?\nAnswer: a*k + 31*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-66))\/((-1)\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b**3 + 266*b**2 - 368*b - 22307. What is w(-53)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - (-15 - -23)) + (25 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f - 38334*c + 38333*c + 100 = 0, f - 2*c = 17 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.7 + 0.3. Let d = -97063 + 97079.9991. Let n = x - d. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:11 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.6343 + 0.3657. What is the nearest to 26 in x, -1\/3, 3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017879 rounded to six dps?\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.495 + 28.42. Which is the second biggest value? (a) 1 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + -106. Let z = a - -15.5. Let r = z + -3.4999898. What is r rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:12 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110.33 + -111. Let t = 0.0271142 - -0.6428724. Let j = t + w. Round j to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*j + 7, u = -5*j - 18. Is u*((-5305)\/15 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-6)\/(-1))*(-60)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283661*x**3 + 141848*x**3 + 141829*x**3.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774236 is divided by 167.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 497, 99.\nAnswer: -1, 99, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 885328, 885196, 884970, 884644, 884212, 883668, 883006, 882220?\n\"Answer: -w**3 - 41*w**2 - 2*w + 885372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*q - 42. Let s(v) = v**2 - 5*v - 4. Let r be s(q). Solve r*h = -f - 2*f - 16, h = -f - 7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, -98, -378, -798, -1364?\nAnswer: -2082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 9.228569\nAnswer: -3.6914276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**2 - 176*d - 754. Calculate o(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 18*r + 9*r + 552. Suppose -4*h - 3*c + 417 = -h, 3 = 3*c. Let g = h + r. Solve g = 5*z - m + 10, -z - 3 = -2*m - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1995 take away 52?\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/((-29645)\/440) + (-1050)\/(-22)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:41 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74130.\nAnswer: 2, 3, 5, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 753\/7 - 134871\/1253. Let d = m - 8914\/537. What is the common denominator of d and 26\/19?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/8 - 11*y**4\/8 - 27*y**3\/8 - 25*y**2\/8 - y = 0. What is y?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5*a = 0, 58*a - 23*a = 5*w + 18*a + 22*a - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3853*x**4 + 633*x**2 wrt x?\nAnswer: 92472*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*d - 39, 0 = 5*u + 6*d - d - 180. Let w = u + -31. Suppose 3*h = -3*t + 267, w*t - 3*h - 392 = 2*h. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.005731804 and 0.408.\nAnswer: 0.402268196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**19*o))\/((o*o**(-8))\/o) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3\/m*m**(1\/4))**(-5))**(-27) assuming m is positive.\nAnswer: m**(1215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 584604.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 33. What is the nearest to 5 in -4, k, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2))**(-29)*(h\/(h*h**(-4)*h)*h)\/(h*h**(-1\/6)\/h) assuming h is positive.\nAnswer: h**(373\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 2569403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-9)*i*i)\/i**(-8\/11) assuming i is positive.\nAnswer: i**(-47\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38016 and 6644.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 + 65 = -2*a. Calculate the remainder when a is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 16 = -94. Solve -2*z - 4*s = p, -6 = 4*z - 2*s + 3*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u - 19 = -3*c, 6 = 3*u. What is the third biggest value in 0.04, c, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4\/7 + 439254*c**3\/7 - 10982700*c**2\/7 + 76881450*c\/7 - 164748375\/7 = 0.\nAnswer: -146443, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650 = -b - 3*r + 119, b + 5*r - 769 = 0. Suppose -k - 3*k + 772 = 4*p, -5*k = 4*p - b. Suppose -p = 3*v - 7*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 5*y + 0*y)*(2*y**2 + y**2 - 2*y**2) - 5*y**3 + 6*y**3 - 3*y**3 + (-4 + 4 - 2*y**2)*(-2*y - y + 5*y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*h*i**3 - 30*h*i**2 + 86*h*i + h + 2143933 wrt i.\nAnswer: -102*h*i**2 - 60*h*i + 86*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q\/(q\/(q\/q**(-1)))))\/q*q)**(-5)\/(q**2)**(-2\/101)*(q\/q**(7\/2))\/(q*q\/(q\/q**(2\/7)*q)*q)*(q**(-1))**17 assuming q is positive.\nAnswer: q**(-29335\/1414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -74708*a + 49830234. Give x(667).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1279750500 to the nearest 1000000.\nAnswer: -1280000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/6 - (-16)\/(-24). Suppose 5*k - 3*s = 30, -k + q = -2*s + s. Let o = 5 + -1. What is the smallest common multiple of k and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -706 + -32?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385304 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20876933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3332, 6697, 10060, 13421, 16780?\nAnswer: 20137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -s - 30, -8*g + 5*g - s = -36. Suppose g*d = 1107 + 2677. Is d a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {s: 5, q: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23219, 23223, 23229, 23237, 23247?\nAnswer: 23259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -20120122301 (base 4) to base 8\nAnswer: -10303261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 10 - 64) + 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56634 divided by 18878?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064527377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 5 (c) 3\/2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.089 - 0.911. What is the closest to w in 4, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/295 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 3:08 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 30*t - t)*(-4 + 4 + 9*t + 2).\nAnswer: -207*t**2 - 46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 + 215 = 16*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (-22)\/(-4) + 78\/156.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 504\/(-28) - 43?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {e: 3, d: 2, s: 4, g: 10}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 - 177. Let n(t) = t**3 - 5*t**2 + 4*t - 3. Give n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + (-1 - (-3 + 6 - 3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49578337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115062 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5\/4 + 130675*z**4\/2 + 25575265*z**3\/4 + 143264860*z**2 - 651876135*z + 678496860 = 0.\nAnswer: -52172, -51, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1932985 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 375?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14204 to 3 dps.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 210204983 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x + 43*x + 4233 = 4248, 5*x + 19 = -3*l + l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.6 * 559.\nAnswer: -10956.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5482*n - 5486*n + 71 = 17*o, -4*n + 87 = o for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p + 5. Let b be z(0). Suppose 2*x = 7 + 11. Suppose n - 10 = -x. What is the greatest common divisor of b and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 0.91, 1\/4, -91?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 67576.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/38)\/(44\/15928). Is 19 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((160\/(-12))\/(-8))\/((-2)\/(-6)). Solve -16 = -2*w + 2*y, -y + m*y - 8 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 41*o - 72. What is the hundreds digit of t(45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2400549446 to 5 decimal places.\nAnswer: 0.24005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:33 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (-123)\/54) + 30\/135. Put a, 0.06, -5, -3\/5 in decreasing order.\nAnswer: 0.06, a, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -26, -98, 2\/7, 2\/1199, -1\/3, 4?\nAnswer: 2\/1199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 844 - 838. Let m(y) = 13*y**2 + y. Let w be m(-1). List the prime factors of 8\/w*243\/c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 31 + x + x + 5*x as g + u*x and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5874 + 1785 = -207*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/29*(-270)\/1620.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424 or -5?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from jsrxrs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1266, -4, 3, 0 in increasing order.\nAnswer: -4, 0, 1, 3, 1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(7\/5))**(-41) assuming s is positive.\nAnswer: s**(-287\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34450 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6 - (2 + -3 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473301 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: Calculate the remainder when 222992217 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.01 - 8.16. Which is the smallest value? (a) z (b) -0.3 (c) 0.2 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 205849.5us?\nAnswer: 0.003430825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:13 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 189.7792 days?\nAnswer: 16396922.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 32156*q**3 + 1875384*q**2 - 25269840*q - 58298400 = 0.\nAnswer: -8097, -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/16623?\nAnswer: 10\/16623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1128*b + 2252*b + 505*b + 1 - 828*b)*(-b**3 + b**3 + 2*b**3).\nAnswer: 6114*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence an when two letters picked without replacement from {g: 2, a: 1, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8695)\/15984*-12 - 75\/100.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 1151*m + 11009. What is f(393)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20188 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-375)\/10*(-24)\/(-15). Let z = 93 + r. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21360958.\nAnswer: 2, 1733, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59831785*k**2 - 17257076*k - 2?\nAnswer: 119663570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 4*n**2 + 2*n**2 + 4*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yys when three letters picked without replacement from {y: 2, f: 1, s: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7208345 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3911, -3877, -3819, -3737, -3631?\nAnswer: -3501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -68271 at most -66740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 + 149. Calculate the remainder when 71 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 2. Let f be w(-2). Suppose f*u - 200 = 2*u. Calculate the remainder when u is divided by -26*5\/(-20)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o - 42 - 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5394 - -6?\nAnswer: -5389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -657*h + 32735. Calculate q(50).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.45 + -1.449135. Round w to five decimal places.\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**2 - 7*k**3 + 6*k**3 + 3*k**3 + 8*k**2 + 133*k - 119*k.\nAnswer: 2*k**3 - 13*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/((-8)\/(-398)) - (-5)\/10. Let w = -97 - j. Solve w*g - 3 - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(8\/30)\/(5\/(-10))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -19, 0.04932, 10, -3?\nAnswer: 0.04932","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*j**2 - 33*j**2 - 18*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.093347 weeks to hours.\nAnswer: 351.682296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 7*x**2 - 5*x - 17. What are the prime factors of j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/8*24\/18. Suppose 0 = -2*x + 2*a + 3*a - 63, -5*a = -5*x - 150. Let r be m + x\/(-21) - (-2)\/(-6). Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 5. Let b be c(4). Solve -3*s = -5*p - 2, 2*s + 3 - b = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62278577*r**3 - 421044227?\nAnswer: 186835731*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k + 4*g = -90*k - 21, -3*k + 4*g + 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 952\/15 in -5, -0.3, -4, -2.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 25. Let i be j(6). Let x(y) = y**3 + 4*y**2 - 8*y + 4. Let w(h) = -h**3 - 5*h**2 + 9*h - 5. Let u(k) = i*x(k) - 4*w(k). Factor u(a).\nAnswer: -a*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 - 3692*m**3 - 131*m**2 + 2*m - 36?\nAnswer: -360*m**3 - 22152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(500).\nAnswer: -3 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 730 + -731. Which is the second biggest value? (a) -0.5 (b) r (c) 1 (d) -6\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -22*p - 5*p**2 + 0*p**2 - 22 - 8*p**2 + 5*p**2. Let b(q) = q**2 + 3*q + 3. What is -44*b(k) - 6*j(k)?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k - 66 = 62. Solve -7 = 3*w + k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*m = -5, t - 5*m + 2*m - 10 = 0. Let x be (3*(-6)\/t)\/((-1)\/2135). What is x rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40119.43 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -6*f**5 + 1040*f**4 + 8606*f**3 - 51056*f**2 + 68152*f - 17376 = 0?\nAnswer: -12, 1\/3, 2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6400*t**3 + 12619*t**3 - 6990*t**3)*(-4*t + 2*t + 3*t).\nAnswer: -771*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1649, -3235, -4817, -6395, -7969?\nAnswer: -9539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62152565 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 4. Let h be f(8). Let r be h\/(-18) + (-50)\/(-18). Suppose -u - 2 = o, -r*o + 0*u = u + 2. Solve o = -m - 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -38, -76, -126, -188, -262, -348?\n\"Answer: -6*l**2 - 8*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9993880 rounded to the nearest one hundred thousand?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -108. Let a be (1\/i - -1)*360\/135. Let p be (15\/2 + 0)*a\/3. What is the greatest common factor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 7560570.\nAnswer: 15121140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwxxxxxxxwxxxw. What is prob of sequence wwx?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 12*h = -102. Suppose -h = -3*r - 1. Suppose -s + r = a - 2*s, 3*a = -2*s + 53. Calculate the greatest common factor of a and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101110 - -111110?\nAnswer: -111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from ruwwwunanw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420175.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Let d = 162 - -14. Suppose m = 2*k + 2*k - d. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -3 - -2)\/(-1). Suppose x = 5*y - 3*m - 2405, 4*m = -3 - 17. Suppose -3*o = -9, -4*u - 86 = 4*o - y. What are the prime factors of u?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 13) in base 4?\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21463.42 + -21490. Round g to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) - 376\/(-10). Suppose 0 = -3*z + m + 61. Let l be (2\/(-5) - 0)*-55. What is the highest common factor of l and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 0.2 (b) -0.3 (c) -5 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -3*k**5\/10 - k**4\/12 - k**3\/3 - k**2\/2 - 4532*k. Give r(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 14*v**2 + 20*v - 2. Let l be k(-12). Let q = l + -10. Let x = 128 - q. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33925412603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 64*l**2 + l - 88. List the prime factors of i(1).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 52, 59, 66, 73?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/31356176 and -13\/1704140?\nAnswer: 156780880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 6. Let b be n(-11). Suppose -k = -2*d + 4*d - 49, b*d = 5*k + 145. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 + 39*k + 366. What is the tens digit of w(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 2:37 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 14) in base 7?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l**2 - 66*l + 2. Give t(-5).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.3. Let b = -1.1 - -1. What is the nearest to 1 in b, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -44\/331?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7651300205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 915*o**2 + 5554*o - 5. Is y(-7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - -11. Let l = c - 9. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**20\/k**(-4))\/(k**(-16))**(6\/11) assuming k is positive.\nAnswer: k**(360\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1982 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*-4*((-1)\/(24\/2))\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50 + 1758392?\nAnswer: 1758342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -76. Solve 0 = d - z - 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0.2, 2, -1, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -299 - -303. Suppose -l = 2*l - 6. Is ((l - i) + 3)*887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(55))\/(-5*sqrt(33)\/sqrt(3)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -61174076.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3752745, -3752719, -3752679, -3752625?\n\"Answer: 7*q**2 + 5*q - 3752757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q - q)*(0 - 4 + 2) + ((0 + 5 - 4)*(-3*q + 5*q - q) + 0*q + 2*q - q - 5*q + q + 3*q)*(-3 + 3 - 2).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from ujjjjhjuzzjjzivjh.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5) - (sqrt(720) + sqrt(45) + sqrt(5))).\nAnswer: 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*g + 8, -3 = -3*s + 4*g - 5. Calculate the remainder when 207 is divided by -9 + 11 - (2 + s + -24).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-30)\/(-4))*-9. Suppose 3*l + 3*l - 30 = 0. Suppose l*y - 4*s + 7*s = 0, -4*s = 20. Calculate the highest common divisor of y and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 212 - 207. Solve 0 = -k*n + 5 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 14*r**2 - 20*r - 7. Let k be p(12). Suppose -46*h - 320 = -k*h. Let t = h - -78. Solve -5*i + 3*m = -t, -3*i - 3*m + 21 = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -21, 72, 213, 408?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-4))**(-3\/11) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2. Suppose 4*h = -28*k + 32*k - 96, 5*h = 2*k - 45. Let n(y) = 2*y + k + 2 - 27. What is p(n(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -39.018. Let m = r + -0.082. Is m <= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-92)\/414 - 4\/(-18). Let l(d) = -3 + 1 - d**2 - 1. Calculate l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 e when four letters picked without replacement from {l: 5, v: 2, e: 13}?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - sqrt(147)*2*6)**2.\nAnswer: 17787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 153*k**4\/4 - 13*k**3\/3 - 3*k**2\/2 + 14. What is the third derivative of f(z) wrt z?\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9728 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + -31. Let y = 95.1575 + x. What is y rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 28. Which is greater: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x - 114. Calculate n(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1537*o**5 + 569*o**2 - 2*o - 5 wrt o?\nAnswer: 92220*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 + -24505?\nAnswer: -24414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, q: 3, s: 3, v: 2, x: 3}. Give prob of picking 2 s.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -5754.\nAnswer: 2\/2877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50885976.\nAnswer: 2, 3, 2120249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x**3 - 8*x + 79*x**3 + 35*x - 27*x.\nAnswer: 114*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -160, -619, -1380, -2443, -3808?\n\"Answer: -151*j**2 - 6*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 674418913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7003 + -6995. Let x(w) = 12*w - 99. Determine x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = -4*g - 0*c, c - 3 = 2*g. Sort -41, g, 1, 2.\nAnswer: -41, g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*s - s**3 - 84*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*p - 3 = -0*p, p = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2 - 352*a + 1095. What is i(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64028 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*x**2 - 224251114*x + 584981048.\nAnswer: 4*x - 224251114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(6) + -2 + sqrt(7))**2 + sqrt(7) + -1.\nAnswer: -7*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/160 and -13\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 14.475.\nAnswer: 130.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -2069244.\nAnswer: -17\/2069244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/15 and 52\/723?\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + 3*f - 3*f)*(-171*f + 341*f - 86*f).\nAnswer: -756*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbiiuiuegieiig. What is prob of sequence ig?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2233 + -5?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + -1. Let c(n) = -n**2 - 13*n - 1. Let v be c(p). What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4359, -3876, -3391, -2904, -2415, -1924, -1431?\n\"Answer: m**2 + 480*m - 4840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 104604*l**2*w - 610*l**2 - 2*l - 7 wrt w?\nAnswer: 104604*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.67860899422764 + 520278430.32128800577236. Let i = -520278673 + r. Let f = -238 - i. Round f to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f. Let i = 4 - 5. Let u = i - -3. Let c(s) = s**u + 0 + 0. Give c(x(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 561 - 17. Suppose -546*c + s*c = -6. Sort -1, c, -9 in ascending order.\nAnswer: -9, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/(-350) - 17\/(-238).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 890, -5391, -22436, -55627, -110346?\n\"Answer: -897*h**3 - 2*h + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10675 divided by 3.\nAnswer: -10675\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72487059?\nAnswer: 3, 1609, 15017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1079195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -443232 divided by -228?\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -182, 13, 2 in descending order.\nAnswer: 13, 2, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-45)*20\/18*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6)*(-7)\/(56\/(-32)). Which is greater: -49 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17 + 2100\/147)\/(1\/(-7)). Solve -26 = t*s - 121 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.96 + 0.04. Let f = -5 + 4.8. Let d = 0.7 + f. Which is the second biggest value? (a) -2 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4038.\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -4)\/(-32 - 39910\/(-1248))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/20, -2, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 12:55 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/17125 - 5339567\/17125. Suppose 3*g + 409 = 1348. Let x = u + g. Put -5, -3, x in decreasing order.\nAnswer: x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -7. Suppose -4*g = -2*u - o - 6, -2*u + 5*g = 15. Let d(c) = -5*c**2 + u*c**2 + 3*c**2. Let r(f) = -4*f. Determine r(d(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3826 + 10000. Suppose 55*b + t = 61*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 6:25 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66876 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -214097100 rounded to the nearest one hundred thousand?\nAnswer: -214100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -233030*-3\nAnswer: 699090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x - 867 = 0. Suppose -12*i + x = -347. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let x(s) = 2*s + 0*s + 0*s + 4*s. What is p(x(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -112 - -120 - (-46)\/1. Solve -18*u + m = 9*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 10*o + 8. Let a be s(10). Let d(u) = 2*u - 4. Let i be d(a). Let w = i + -9. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 - 3. Let q be b(3). Suppose 0 = 4*w + 24 - 4, -3*w - q = -4*m. Solve m = -0*t + 2*t - 5*x - 15, 3*t + 3*x - 12 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -20. Suppose q = -4*s + 26. Suppose -s*h = -h - 48. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 0*l**2 + l**3 + 34*l - 12*l + 6*l**2 - 16*l + 12. Calculate the remainder when 23 is divided by g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723025379?\nAnswer: 723025379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0027 in 1, -1, 0, 5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 3:20 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203045 + 5?\nAnswer: -203040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000478 to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15910 and -1.35792.\nAnswer: 15908.64208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:28 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 20*v**2 + 11*v. Let z(o) = -o**3 - 13*o**2 - 7*o. Suppose -16 = -7*f + 19. Let i(k) = f*w(k) + 7*z(k). Find s, given that i(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 5 (b) -4 (c) 0.92 (d) -0.07 (e) -2\/79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - (sqrt(38)\/sqrt(2) - sqrt(19))) - (sqrt(2736) - (sqrt(2736) + sqrt(2736)*-1)).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149, 298, 447, 596?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(224)*1 + sqrt(56)))\/(sqrt(16)\/sqrt(2)*3*2))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150321 is divided by 6012?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 0*u + 2*u + 3*u + 0*u - 5*u + (1 + 0 + 0)*(-3*u + 2*u - u) + 2*u + u - 2*u)*(1 + 0 + 0)*(1 + 2 + 1) in the form a + p*u and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2 - 9*b + 34032*b**2 + 0 - 34031*b**2. What is s(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and -0.0146237116677?\nAnswer: 13.9853762883323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.15 (b) 21 (c) 0.5 (d) 7 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-15)*(-51)\/(-425).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4304197?\nAnswer: 23, 187139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (11 - ((3 - 1) + 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938416521 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**4\/8 + 2*z**3\/3 + 3*z**2. Differentiate c(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 2 = -d + 2*d, 0 = 2*d + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199 - -358. Let g = x - 147.34. What is g rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 14*b - 20. Let o be q(-2). Solve -6 = -o*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 312643330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-26) + 10735\/65.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 5:02 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2689*q**5 - q**3*w - 2*q**2*w - q**2 + 27*q*w + 19087*q wrt q.\nAnswer: -53780*q**3 - 6*q*w - 4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**4\/4 + 2*x**3\/3 + 3*x**2 - 2*x - 1. Let b be i(4). Let l be 67000002\/(-10) + (-2)\/b. Round l to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/24*8\/(-6) and (-2 - -54)*(-7 + 11)\/108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**5\/100 + j**4\/15 + j**3\/6 + j**2\/5 + 7*j. What is a in h(a) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**2)\/o)**(-15))**(-12\/13) assuming o is positive.\nAnswer: o**(360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5991320012 to the nearest integer?\nAnswer: 1816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77.17913 millilitres?\nAnswer: 0.07717913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-9)*27*3\/(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -64753961.\nAnswer: -64753960.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-226)\/(-259))\/(5376\/1568) and -13\/16.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 + 271*w**3\/2 - 11103*w**2\/2 + 129329*w\/2 - 59248 = 0. What is w?\nAnswer: 1, 23, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 7:18 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1991, -4012, -6047, -8096, -10159, -12236?\n\"Answer: -7*k**2 - 2000*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3)\/c)**(-1\/4)*(c\/(c*c**(-1\/4)))**39 assuming c is positive.\nAnswer: c**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37593.411 rounded to the nearest 100?\nAnswer: -37600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/((-8)\/64). Let j be (-3)\/(1\/(20\/h)). Suppose 2*z - 10 + 0 = -j*f, f - 5 = -z. Let i(y) = -y**2 + 6*y - 6. Calculate i(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 - 2673*s**4 + 479792*s**3 - 26484093*s**2 + 57424518*s - 12708360 = 0 for s.\nAnswer: 1\/4, 2, 123, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*w**4 - 720*w**3 + 472*w**2 - 80*w + 4 = 0.\nAnswer: 1\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 - 2*r - 4. Let f = 509 - 514. Let p be (-28)\/6 + (-2)\/(-3). Let y(h) = -76*h**2 + 3 + 144*h**2 - 73*h**2 + 2*h. Determine f*y(b) + p*d(b).\nAnswer: b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3 + (3 + sqrt(2448))**2)*-3 + 3)*-4.\nAnswer: 864*sqrt(17) + 29448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6648863)\/232323 - (-30 + 1).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**23\/r*r\/r**13*r*r*r**(4\/7)\/r**(2\/11) assuming r is positive.\nAnswer: r**(954\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 + -126.999999855. What is y rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 23 = -r - 6*l, 2*r - 4*l = 32 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -267*b + 51*b**2 + 265*b + 73*b**2 to y*b**2 + n + x*b and give y.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -215 - -223. Suppose -o = 11 - l. Let j(b) = -b**2 + b - 1. Let k(q) = -q**3 - 9*q**2 + 6*q - 2. Let h(u) = 6*j(u) - k(u). Give h(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-8)*(8 - 4). Let c = k - 5. Let l(t) = -10*t**2 + 18*t**c - 5*t**2. Let b(q) = -3*q**2. Determine l(b(i)).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172209398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1094664 and 364888.\nAnswer: 1094664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-49))\/((-58)\/(-609)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*n - 234*n - 232*n + 91 + 707*n.\nAnswer: 2*n + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - 1*sqrt(1900))**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 4*l**2 + 32*l**3 - 28*l**3 in the form s*l**3 + c*l**2 + d*l + w and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.2, -0.5, -7, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7031493 years?\nAnswer: 8.4377916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -722 + 1160?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 16. Calculate a(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.85 + -122.95. Let a = -1.1 - -1.1. Is g bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2213.\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 23. Let p be i(10). Let w = 51 - p. Let n(d) = -9*d + 10*d - 3 + 3. Give n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 + 2491420086.\nAnswer: 2491420086.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.8 or -311.9?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by (2852\/93)\/((-6)\/(-18)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/8)\/((-11270)\/1610)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 2*g**2 - 1. Let p be v(1). Let d = 1 + p. Find the first derivative of c**4 - 8 + 10 + d*c**4 + c**4 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 617, 629, 647, 671, 701, 737?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - b - 4 - 3 = 0, -3*b = 3*u - 15. Let c(s) = 59*s - 1. Let w be c(1). Suppose 4*i = -u + w. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20144 equal to -20417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**3\/3 + 33*o**2\/2 - 3*o + 23. Let y(v) = -5*v**2. Give y(a(l)).\nAnswer: -20*l**2 - 660*l - 5445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 32*a + 471, 5*v - 55*a - 57 = 5*v + v - 59*a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19.9 and 118.\nAnswer: 98.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 6 (b) -0.5 (c) 0.4 (d) 4 (e) -350879 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/3)\/(2\/30*5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -26309750 at least -26309747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103 + 175. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wm when two letters picked without replacement from {m: 2, w: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 6*o - 4. Suppose 4*m + 8 = 0, -5*i + m + 8 = o*m. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1102, -2344, -3604, -4888, -6202, -7552?\nAnswer: -8944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1189544491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -5*c, -6*m + 3*m + 10 = 2*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691460?\nAnswer: 2, 3, 5, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -19044\nAnswer: -1\/6348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2657 - 2642. Solve 5*u - 6 = 2*v + v, 0 = -2*v - 3*u + p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 635*z - 209*z - 215*z - 223*z + 9*z**2 + 2. Calculate l(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 334481.\nAnswer: 334481.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166.2 - 166. What is the nearest to -1\/4 in -11, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t + 0*t + t)*(16 - 16 + 9*t**3 + (-3*t + 3*t - 2*t**2)*(-33*t + 67*t - 69*t)) in the form i*t**4 + a*t**2 + q*t + p*t**3 + j and give i.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 - -171. What is the nearest to -18 in -1, 3, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 0*l - 7. Let g be ((-48)\/(-252))\/((-14)\/(-49)). Which is the third biggest value? (a) g (b) l (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1 - -4) + -224 + 208.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 69 + 1456*x**2.\nAnswer: 1456*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6393*r - 37*r - 4699*r - 3202*r + 3755*r.\nAnswer: -10576*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84409 = 68*b + 84885 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5092*j - 5075*j - 221 = 0 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -59. What is the remainder when z is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997255 is divided by 819.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 136\/14 - (-18)\/63. Suppose 3*q - f - 8 = 0, 9*q - 4*q = f + 12. Suppose q*o - o + 4*r = 0, 4*r = -4*o + 12. Solve 2*w - a = -o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266906 is divided by 3140.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2523464 divided by 1261732?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.052 - 77.948. Let f = 73 + u. Which is the smallest value? (a) -0.4 (b) f (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i\/(i*(i\/((i\/(i\/i**(-2\/29)))\/i))\/i)*i))\/i)**(-8\/17)\/((i\/i**8*i)\/(i*i**(-16\/3)\/i*i)) assuming i is positive.\nAnswer: i**(2417\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = -9. Suppose 4*r - 2*a + 3 = t*r, 0 = r + 4*a + 3. Let l be r\/(-5)*10\/14. Put l, 0.4, -2\/5 in descending order.\nAnswer: l, 0.4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*l - 0*z + 3, 38*z + 92 = -l - 0*l + 241 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2 - 1) + (-300 - -304)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1662, 3319, 4976, 6633?\n\"Answer: 1657*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (2 - -1)\/3. Let v(k) = k + 0*k - 4 + k**2 + 0*k**b. List the prime factors of v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3025.7 and 2.1?\nAnswer: -6353.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Let j = 6 - 3. Find the second derivative of w*n + j*n**2 + n - n wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 10*s - 10*s)*(12 + 7 - 48) as c*s + f and give c.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 10*g - 68 - 75 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -413340 minus -19338?\nAnswer: -394002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by -13841.\nAnswer: 17\/13841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**14*t)\/t*t\/(t\/(t\/(t**(-11\/5)*t))))\/(((t\/t**(-5\/8))\/t)\/t*t**(-16)\/t) assuming t is positive.\nAnswer: t**(263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**3 + 1086*k**2 - 5442*k - 332. Give g(-160).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6895323 to the power of 1\/2, to the nearest integer?\nAnswer: 2626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214\/3 - -72. Suppose 0 = 4*b - 5*n + 17, -34*b = -29*b - 2*n. Factor 0 + 4\/3*y + s*y**3 - 2*y**b.\nAnswer: 2*y*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-296512)\/(-238656)*(-12)\/(-82).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -299, -294, -287, -278?\n\"Answer: u**2 + 2*u - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -52. Let j = b - -26.03. Sort j, -1\/5, 5, -3\/8 in increasing order.\nAnswer: -3\/8, -1\/5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 554848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 268*x + 264.\nAnswer: 4*(x - 66)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4998311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (55 + -12 + -20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*j + j. Let q(s) = -s**3 + 5*s**2 + 4*s + 4. Let c be q(j). Let k = c - -99. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + q + 3 + (-1 - 2 + 1)*(4*q + 0*q - 3*q) + 0*q + 2*q - 4*q + 0*q + 3*q - q + (2*q - 4*q + 4*q)*(4 + 6 - 4).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b**3 - 5*b**3 - b**3)*(2 + 0 + 1)*(0*b**2 - 2*b**2 + 3*b**2).\nAnswer: -24*b**5 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22019115 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 109 (b) 0.2 (c) 298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/3, -1\/2 in ascending order.\nAnswer: -1\/2, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) 2\/11 (c) 53 (d) -3\/5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, -4\/7, -2, -3, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.8961.\nAnswer: -1.0961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -332643366 take away -0.01261?\nAnswer: -332643365.98739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/17768?\nAnswer: -3\/17768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -197, -101, 87, 397, 859, 1503?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 7. What is n(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - 134?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*z + 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5238)\/7566*(-3)\/27?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609079528?\nAnswer: 2, 409, 186149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 5*h - 10, -3*j = 5*h - 19. Suppose -4*s - 4 = 0, -3 = h*y - 5*s - 78. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231107179 divided by -383?\nAnswer: 603413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*h + 5. Sort 0, -2, h.\nAnswer: h, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 1*sqrt(567))**2.\nAnswer: -1749 + 216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 + (-3 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9673559*c**3 - 6*c**2 + 152073*c wrt c.\nAnswer: -58041354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3341035*a**3*m - 8*a*m + 2*m - 159836317 with respect to a.\nAnswer: -10023105*a**2*m - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -2. Let k = o - 8. What is the second biggest value in 2, k, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83049 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.47 minus -0.15?\nAnswer: -63.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 27*f**2 + 57*f + 10. Suppose 0 = 3*a + 4*o - 1 - 0, -4*a + o - 24 = 0. Let n be l(a). What is the greatest common factor of n and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 1\/5 (c) 0.085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500 and 375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 69, 120, 209, 348, 549?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n + 13*n + 5*n + 33*n + 23 - 26 to l + x*n and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 2*s - 4*s)*(3*s**3 + 22*s**3 + s**3) + s**4 - s**4 + 2*s**4.\nAnswer: -50*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024013015 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 1:56 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 3*u + 0*u + (0*u + 4*u - 2*u)*(5 - 4 + 5))*(-11354 + 156*u**2 + 11354).\nAnswer: 1404*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**3\/6 - 2*u**2 + 2*u. Let j be x(-3). Let g be 6\/9 + j\/(-3). Which is the second biggest value? (a) 2 (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 53.8. Let i = 40.8 + -41.2. What is the nearest to c in -1, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 438*v. Let p(a) = -1293*a**2 - 2. Determine p(m(c)).\nAnswer: -248054292*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-405)\/(-240))\/(6\/8)*(-296)\/(-74)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*2 + sqrt(132))*-5)\/(sqrt(36)\/sqrt(48)).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8427193 is divided by 100323.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - bb39?\nAnswer: -bb39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/19)\/w**(6\/11))\/(w**(-12)\/w*(w**(-6)*w)\/w*w) assuming w is positive.\nAnswer: w**(3659\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2. Let j(b) = b - 9. Let x be j(12). Suppose 12 = -4*o, 7*o - x*o + 12 = -3*d. Calculate v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(0 - 2\/(-2)). Let z = -33 - -27. Let w be (z\/5)\/(-3)*-10. Which is the nearest to p? (a) 1\/2 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*n + 5 = 0, 6 = -2*t + 4*n - 4. Suppose 4*s - 3*s + 20 = 0. Let u be (s\/t - -9)\/1. Solve -2*i = -u + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytoysofllty. Give prob of picking 1 o, 1 s, and 1 f.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:58 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3831)\/(-8) + (12 + -6)\/48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(-4))*b**8*b*b**6*b*b**5*(b*b**(2\/15)\/b*b**(-4))**8 assuming b is positive.\nAnswer: b**(-89\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*g - 32*g + 34. Suppose 4*y = y - 15, -4*v - g*y = -22. Calculate the highest common factor of 56 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-28) - 8) + 6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 - -201100?\nAnswer: 200420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-16) - (-7)\/(-40)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v - 9. Let g(c) = -1. What is 4*g(u) + o(u)?\nAnswer: -9*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*1\/(2\/(-98)). Let t be (-813)\/f*(-11)\/(-22). Let p = 10\/49 + t. Which is smaller: 8 or p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2519637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 4, 1427 in ascending order.\nAnswer: 4, 17, 1427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.042 - -5.6. Let a = u + -0.058. Put -5, 1.5, a in ascending order.\nAnswer: -5, a, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -73*f**8\/112 - 131*f**5\/12 + 189*f**2 - 2*f. What is the third derivative of c(s) wrt s?\nAnswer: -13140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 207128.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -20568449.\nAnswer: 41136898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -761 + 533. Let f = 481 + z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o - 4. Let j be s(-3). Let i = j - 8. What is the remainder when i is divided by 5 - 2 - (-5)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*t - 18. Suppose 0 = -b + 3*l + 1 + 2, -l = b - 3. Let m be ((-1)\/(-1))\/(1\/2). Solve m*x - b = -t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from svdfddstskfstd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/((-3 + 0)\/(-33)). Suppose -x - a = -3*x + 2*u, 67 = 2*x - u. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpjp when four letters picked without replacement from jppppj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -229, -224, -219, -214?\n\"Answer: 5*o - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 14*v = 12*v + 1, 4*y - 2*v + 16 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 569963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2837 (base 10) to base 13.\nAnswer: 13a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0, -2\/9 in decreasing order.\nAnswer: 17, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 21. Let v be s(9). Calculate the greatest common factor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {m: 2, q: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 0 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-5\/2)*(j**(-1\/5)\/j)\/j*j**(3\/8)\/(j*j*j\/(j**0*j)))**(-25) assuming j is positive.\nAnswer: j**(-135\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (3 - 1))*(-2)\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 13*i**2 + 22*i + 71. Suppose -41*g = -36*g - 4*k + 97, -57 = 3*g - 2*k. Is 51 a factor of d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -18, 10 in ascending order.\nAnswer: -18, 10, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/12*168\/735\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492604 and 3723.\nAnswer: 25122804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**2 - 2*c. Let n(v) be the third derivative of -12*v**2 + 1\/12*v**4 + 0 + 0*v**3 + 0*v. Give n(t(i)).\nAnswer: 18*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626408 is divided by 2621.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {q: 2, p: 7, z: 4}?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f**2 - 1429*f + 1445*f - 4*f**3 + 16*f**3 = 0 for f.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -21. Suppose 86 = 4*t - 5*v + 6, -8 = 2*v. Let w = t + c. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 8*v - 2. Let x be f(6). Suppose 3*z - 6 = -t, -6*z = -4*t - z + x. What is the remainder when 29 is divided by (15\/(-1))\/((-18)\/t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 121026 and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/13)*b**(-2\/7))\/(b\/b**(-2\/7))**(-2\/145))**(-29) assuming b is positive.\nAnswer: b**(-13719\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -288.0376 to 0 decimal places.\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -26. Let u be -4 + 4\/(h\/4). Suppose 37 = 2*q - 7*d + 2*d, -2*q - 3*d - 3 = u. Solve 4*o - q = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f**2 - 5*f**2 + 8*f**2)*(35*f - 91 + 91).\nAnswer: 665*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127 plus 105651?\nAnswer: 104524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {h: 2, l: 3, o: 2, u: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k**2 - k**2 + 8 + 2*k**2 - 11*k. Let v be p(7). Is (-732)\/v + (-2)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 4.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113936 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11621 - 3312 = -108*w - 367*w - 6891 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28652 by 6.\nAnswer: 14326\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3350 + -1470. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.1. Let a = -65 + 65.4. Let y = 22 + -16. Sort y, l, a.\nAnswer: l, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m. Suppose 3*l - 6 = -q, -3*l + m*q = -2*q - 6. Let a be 38\/9 + l\/(-9). Solve t + a = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*x**2 + 415*x**2 + 3*x**3 + 4.\nAnswer: 3*x**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 3 + 3236\/8. Suppose 0*u = 2*u + 796. Let s = o + u. What is the common denominator of 41\/18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1353.7 - 1360.7011. Let a = y + 7. Let m = a - -0.00109466. What is m rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12021 - -30212?\nAnswer: 12131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1. Suppose 37*s + 156 = -11*s + 22*s. Let m(f) = -f**2 + 11*f - 11. Let g = 76 + -142. Give g*t(k) + s*m(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6927, 12776, 18625, 24474, 30323, 36172?\n\"Answer: 5849*z + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*s + x - 4, 0 = s - 5*x + 8. Suppose -f = 3*a - 14, f + 3*a = s*f - 8. Let k = 4 + f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 + 4 + 24 + -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16155 - 2270558.55.\nAnswer: -2286713.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.58. Let n = 0.0799935 + m. Round n to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100, -70, -26, 38, 128?\n\"Answer: q**3 + q**2 + 20*q - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7472 (base 8) to base 3\nAnswer: -12100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8572 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 235.72701s?\nAnswer: 3.9287835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 4097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a + 1. Let k(n) = 13*n + 7. Let t(z) = -3*i(z) + k(z). Suppose -6*s = -3*s. Let u be t(s). Sort u, 2, 5.\nAnswer: 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, q: 1, b: 1, g: 11, v: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 797.23 + -810. Let k = 0.93 - d. What is k rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/2 in 70, 18, 0.04, 1, 0.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*-2*-3. Let s be 0 + 2 - (t + 3). Suppose -v + 4 = 0, 4*w = 3*v + 2 + 2. Solve -w*i + s - 14 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78676210 - -189876201. Suppose -2*l - l = 4*m + o, 0 = 4*l - 12. Round m to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208538?\nAnswer: 2, 11, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -288.8.\nAnswer: -3465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -194\/9?\nAnswer: -194\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 6225, 0.4, 8\/5 in decreasing order.\nAnswer: 6225, 8\/5, 0.4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18153)\/(-63) - (4\/(-14))\/(-2). Suppose 5*d = 11*d - p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*5*(sqrt(68) + 1)*-6.\nAnswer: -60*sqrt(17) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 - -102. Solve -4 = 2*p - d, -3*v = p - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*y - 24 = -23*y. Let c = -11 - y. Suppose -7*f + c*f - 4*f**2 + f**2 = 0. Calculate f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/191 (c) -0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15875, 31621, 47367?\nAnswer: 63113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -2\/129, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/30)\/((-2234)\/(-418875)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*s = 15. Suppose -f + s = -0*f. Is 11 a factor of 276\/10 + 2\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/1071*-14 + (-1)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000618026 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 974819.7 decades?\nAnswer: 9748197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 10, 1, -50, -167, -374?\n\"Answer: -4*w**3 + 15*w**2 - 8*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51.6959 (b) -5\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*17*(-8)\/(-816)*14\/(-4676)?\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6253 + -6247. Suppose -f + 9 = m, -2*m + 9 = -3*m + 5*f. Calculate the smallest common multiple of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 5*d + 2. Let s be f(-5). Let p(q) = -2*q - 7. Let k be p(-5). Suppose -l - k + 0 = 0. Sort -2, l, s in descending order.\nAnswer: s, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03954581 rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.7*0.5.\nAnswer: -13.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.474516g in micrograms?\nAnswer: 6474516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 30090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 133, 3\/4, -28, -0.4, 4, 1\/6, 3 in ascending order.\nAnswer: -28, -0.4, 1\/6, 3\/4, 3, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**3 - 172*u**2 - 288*u + 206. What is y(59)?\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/29, 3\/4, 1\/98, -2\/11 in descending order.\nAnswer: 3\/4, 2\/29, 1\/98, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/2334?\nAnswer: 7\/2334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 14 - (0 - (6 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -67\/2*u**2 + 6*u**3 + 0*u + 39. What is the second derivative of w(n) wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/10 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-4*l**3 + 4*l**3 + 3*l**4) - 2*l**4 - l + l.\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.034 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -0.5, 3\/7, 5\/6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -30 - k**2 + 34*k + 1 - 28 - 4. Let s be m(32). Solve 2*d = w + s, 5*w + d - 4*d - 6 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168073 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/16*75140\/33813?\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 1. Let z(p) = -p**2 - 58*p + 32. Let x(k) = 4*j(k) + z(k). Calculate the least common multiple of x(-46) and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 10, -1, 913, 2 in ascending order.\nAnswer: -5, -4, -1, 2, 10, 913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 r, and 2 a when four letters picked without replacement from rggrkgraaggrrrrug?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 20*y**2 - 41*y + 407. Let x be n(21). Sort 3, x, -7 in increasing order.\nAnswer: x, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-5)\/(-2))\/(4\/32). Let p = 2 + r. Let i(s) = -2*s + 6*s - p*s - s. Let o(g) = 2*g. What is o(i(f))?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = 0, -3*x = -5*t - 12 - 2. Let z(n) = -3*n**2 - 4*n - 2. Give z(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4935 - 4929. Solve 11*h - i*h + 10 = 0, 3*h - 3 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:10 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2 + 10 - 200*f + 196*f. Let o be a(-5). What is the remainder when 7\/o - (-174)\/8 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**5\/390 + 3*b**4\/52 + 8*b**3\/39 + 7*b**2 + 26. Let w(t) be the second derivative of d(t). Let w(i) = 0. Calculate i.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/10 + 10756\/(-20). Let n = 844 + s. What is the greatest common divisor of n and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 4 + 10*c**2 + 4*c**3 - 10. Let k be (-133)\/532 - (1 + 62\/8). Calculate the remainder when n(k) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 668, 816, 1024, 1292, 1620, 2008, 2456?\n\"Answer: 30*d**2 + 58*d + 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00407647 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g + 901 = -448. Suppose 0 = 3*k - 0*k - 162. Calculate the remainder when k is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189682.\nAnswer: 2, 94841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 + -227. What is the third derivative of -136*p**t + 64*p**3 + 17*p**2 + 0*p**2 wrt p?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -279*q**2*u**3*w + 4085*q**2 + 136*q*u**3*w - q*u**3 wrt w.\nAnswer: -279*q**2*u**3 + 136*q*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 6575391\nAnswer: 52603128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*v = -v + 26, 5*j - 2*v - 27 = 0. Let l be 4 - (13\/j + 6\/15). Solve 4 = -x - l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 45. Calculate the remainder when 21 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -23*r - 65. Let m be g(-3). Solve 0*h + h = -m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30389 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-78)\/(-24) - 38\/(-8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103568.871 hours in weeks?\nAnswer: 616.481375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11788723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**4)**(-1\/54)*(f\/((f*f**(-4))\/f*f))**(-15) assuming f is positive.\nAnswer: f**(-541\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 3 - 0 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2 - 1 + 0 - 1 + (0 - 2 + 3)*(-4 + 2 + 4))*(-o**2 + 4*o**2 + 0*o**2).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3561*s + 3493*s + 1156. Solve -40*w + d = -37*w - 13, -w - 5*d = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 7*v**2 - 11*v - 38. Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4013427 (base 10) to base 2.\nAnswer: 1111010011110101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 7, o: 1, a: 4, h: 1}. What is prob of sequence ee?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 295 + -60. List the prime factors of z.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -14*s + 53. Which is smaller: -5 or s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33017424 and 48?\nAnswer: 33017424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7275395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, -5, -1, 2.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-19 - -11)) + (-11 - 2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 1261092?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 656340 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2391, 1076, 5 in descending order.\nAnswer: 2391, 1076, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4978\/53 or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44019272*f**2 - f**3 - 44019272*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 459926 divided by 323\nAnswer: 459926\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.356717 * 3.\nAnswer: 4.070151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**2 + 30*o**2 + 12 - 83*o**2 + 27*o**2.\nAnswer: -4*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 5. Let r(p) = 12*p - 36*p + 9*p + 13*p + 6. Give 5*c(a) + 4*r(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73434, -146861, -220288?\n\"Answer: -73427*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = 3*g. Let x(i) = -i**3 - 6*i**2 + 2*i + 5. Let r be x(g). Let n = -18 - r. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296502.9 plus -20594641?\nAnswer: -17298138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y. Let z = -15 - -28. Let s = y + z. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6276776 to the power of 1\/2, to the nearest integer?\nAnswer: 2505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (15368\/(-119102))\/(33\/186)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 376.8 and 9.2.\nAnswer: 3466.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -169*q - 4952. Give u(-29).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -194791?\nAnswer: -194791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-50)\/15*12\/10. Let f be (1 + 0)*(-5 - y). Let l = 453.7 - 453.8. What is the third smallest value in -11, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02633 - 26.98867. Let i = -0.015 - q. Let d = -26.05 + i. What is d rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -148, -285, -410, -523, -624, -713, -790?\n\"Answer: 6*h**2 - 155*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*i + 8. What is the common denominator of -107\/22 and (2 - i) + 116\/8?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -376020 by -41780.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + 138. Let s = r - 189. Suppose 1\/4*g**5 - 1\/2*g**s + 0 + 0*g**2 - 3\/4*g**3 + 0*g = 0. Calculate g.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 194*m + 5. Let z(l) = -324*l - 8. Calculate -12*b(o) - 7*z(o).\nAnswer: -60*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48381563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/15 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 64771404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = -2*h. Let z = h - 15. Suppose -5*o = f - 104, -3*o + 12 = -3*f - 36. Solve -5*r + o = -z*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1666210947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -41*(1 + -2) - 0. Let v = j + -25. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*p, -n + 0*n = 5*p. Let k(v) = v**3 + v**2 + 4*v + 727. What is the tens digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Suppose -m*l + 23 = 2*z - 5, 37 = 2*z + 5*l. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40902743?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*c + 30 = 0, -26*c + 3 = -3*p - 22*c. Solve -5*a - 2 = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8073 is divided by 7129.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from aysststttt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4104*n - 6. Let g(d) = 2076*d + 3. Calculate -9*g(y) - 4*k(y).\nAnswer: -2268*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7392\/(-384))\/((-1)\/((-48)\/(-36))).\nAnswer: 77\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 329 + -1642\/5. What is d in 3\/5*d - r*d**2 + 6\/5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 2*i**2 - 2*i**2)*(391 + 90*i - 766 - 11*i**2 + 376).\nAnswer: -22*i**4 + 180*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6626 - -7131. Solve -c*w = -500*w - 35 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxjxjx. What is prob of sequence jj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64)\/10 + (50\/(-5) - -7)\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 191, 387, 581, 773, 963?\n\"Answer: -b**2 + 199*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 5. Let s be w(9). Which is the second biggest value? (a) -0.2 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 - 141*t - 720. Let z be k(-10). Let f(s) = 4*s**3 + 39*s**2 - 8*s + 18. What is f(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 48107858*l*r**3 - 2*l*r**2 + 12*r**3 + 203*r**2 + 5*r + 447 wrt l?\nAnswer: 48107858*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - 37638?\nAnswer: -37632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 61)*(1\/3)\/(-1). Let d = 34 - g. Let b(u) = -u**3 + 14*u**2 + 20*u - 37. Let q be b(d). What is the greatest common factor of 57 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2726.4 + 2726. Let m = 21.8 - 22. Put -0.8, g, 4, m in increasing order.\nAnswer: -0.8, g, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avaa when four letters picked without replacement from {a: 5, v: 9}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/3, -13, 3 in ascending order.\nAnswer: -13, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-6))\/((-2)\/21). Is 259 + 7\/(l\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(-2\/5))**8\/((z**(3\/10)\/z*z*z*z**2*z)\/(z**(-5)\/(z*z\/((z\/(z**(-6)*z))\/z*z)))) assuming z is positive.\nAnswer: z**(-127\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6301*s - 519*s + 2.\nAnswer: 5782*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgn when three letters picked without replacement from {q: 1, h: 1, n: 2, u: 4, g: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1216933011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.1 + -8.1. Suppose j - 20 = -3*j. What is the closest to x in j, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69381 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -138\/149 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -13. Let r(s) = s**2 - 3*s - 2. Let y be r(w). What is the least common multiple of (-77)\/(-28) - y\/8 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g. Let z(a) = 2*a**2 - 26*a + 2129. Calculate z(u(x)).\nAnswer: 32*x**2 + 104*x + 2129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 11 + -10 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9346 is divided by 1315.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-36)*(-12)\/(-56))\/(3\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*w**2 - 88*w**2 + 45*w**2 + 3 - 3.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22318578 a multiple of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250317 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l + 3. Let p be m(-5). Let r = -253 - -292. Let k = p - r. Which is bigger: k or -14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 629, 1012, 1395, 1778, 2161, 2544?\n\"Answer: 383*o + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4)\/y*y*y*y\/y**(-1)*y)\/((y\/((y\/y**(-2\/9))\/y))\/y**1)*y**(-2\/11)\/y**4*y**(-3)*y\/(y\/y**3) assuming y is positive.\nAnswer: y**(-293\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 1, 206, 11 in increasing order.\nAnswer: 0.03, 1, 11, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -94*z - 2. Let o(s) = -s. Give -h(i) + o(i).\nAnswer: 93*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*j + 3360 = -1879 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1024 - -1020. Let r = 62 - -17. Put r, u, -1\/2 in decreasing order.\nAnswer: r, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 582 - 542. What is the highest common factor of i and 1420?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.75 + 0.15. Let p = n + 1.5. Let i = 0.1 + p. Which is the second smallest value? (a) 0.5 (b) i (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - 4\/16. Suppose -172 = -4*v + 6*l - 2*l, -3*v + l + 123 = a. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*f + 15 = -592*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -65902, -65096, -64276, -63436, -62570, -61672, -60736, -59756?\n\"Answer: p**3 + p**2 + 796*p - 66700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2*a = -40. Solve 4*r - 35 = 5*c, -a*r + 10*r = -5*c + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165451061 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -5. Let s = -15140\/22701 - -2\/7567. Which is the biggest value? (a) -8\/7 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1386 to the nearest 10.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 557*d**2 + 17*d - 95. Let j be w(4). Let p = j - 4218. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (2 + (sqrt(5) - sqrt(10)\/sqrt(2)) - 2*sqrt(5)*-4).\nAnswer: 7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-75947.\nAnswer: -1518.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*207\/(-897)*676\/72*-3.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42707623009 and 0.1186.\nAnswer: 42707623009.1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-1)*-2*(-8)\/6720*14*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*y + 14. Let w(j) be the first derivative of -2 + 3*j - 3\/2*j**y. Find the first derivative of w(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, k: 3, m: 4, j: 2}. Give prob of picking 2 k and 1 j.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:55 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) -10 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13138 or -13139?\nAnswer: -13138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129766 and 18817?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54929*w - 20356*w + 49865*w.\nAnswer: 84438*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 2*k**4\/9 - 91*k**3\/3 + 68*k**2\/3 - 5353*k. Determine s, given that q(s) = 0.\nAnswer: 1\/4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + x - 659 = -2*u, -u = -2*x + 139. Let j = -23081\/60 - -3794\/15. Let d = u - j. Which is the third biggest value? (a) -2\/9 (b) d (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40120, 160011, 359676, 639115, 998328, 1437315, 1956076?\n\"Answer: 39887*a**2 + 230*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 19380*z**3 - 18701540*z**2 + 150543840*z - 301709120.\nAnswer: -5*(z - 4)**2*(z + 1942)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 - 43*v - 257. What is the remainder when 153 is divided by b(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.3 - 22. Let o = 50\/3 + -16. Which is the smallest value? (a) t (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (-4 + (-5*2*sqrt(3) - (-2 + sqrt(3) + sqrt(12) + sqrt(3))))**2*2)*3.\nAnswer: 1008*sqrt(3) + 10620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 - 0.21. Let g = -0.5 - j. Let p = 0.06 + g. What is p rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155257 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 10245 + 3235. What is c rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*m + 150 = -72*m. Suppose -17*y + m*y = 712. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160 + 160.2. Which is the nearest to o? (a) -3 (b) 1\/6 (c) 134\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1*o*o)**36*o**(3\/2)*o\/(o**(-2\/5)*o)*o*o*(o\/(o*o*o**(2\/13))*((o*(o\/(o**0*o))\/o)\/o)\/o)**4 assuming o is positive.\nAnswer: o**(17587\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 1. Let i(w) = w - 1. Let p(q) = 6*h(q) - 4*i(q). What is the lowest common multiple of 9 and p(2)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/9 - 6506*u\/9 - 6512\/3.\nAnswer: 2*(u - 3256)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 35. Factor -4*m**4 - 4*m**4 - 28*m**3 - 6*m**2 + 5*m**4 + 37*m**c.\nAnswer: -3*m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 35 = 4*m - 4*t, 8 = 4*t. Let f be 2\/(-2) + 0 + -1 + m. Determine w, given that -4*w + 0*w**4 - 1 + 3*w**4 - 6*w**4 + 2*w**4 - f*w**2 - 4*w**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1671, -1670, -1669, -1668?\n\"Answer: g - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(6\/(-6))*6\/12. Let p(v) = 8*v. Let u(b) = b. What is t*u(x) + p(x)?\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/122976 and -71\/126.\nAnswer: 122976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:16 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/19 + 136*g**3\/19 + 1234*g**2\/19 - 72*g = 0.\nAnswer: -9, 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/101 - -3141\/202. Find the common denominator of -131\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 7*k + 0*k + 3*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 9*s + 24. Let w be m(-6). Suppose 5*p = -0*p - w*p. Solve 2*o = n - 0*n - 15, p = -o - 5*n + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5\/c)\/c**(2\/5)*c**(-5)\/c*c*c*c*c*c**(1\/7)*c*((c**(1\/3)\/c)\/c)**(1\/51)\/((c\/(c*c**0\/c))\/(c**(-5)*c)) assuming c is positive.\nAnswer: c**(-12262\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 62 = 5*t. Let g(p) = 1. Let x(s) = -s**2 + s + 9. Let k(h) = t*g(h) + 2*x(h). Factor k(z).\nAnswer: -2*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 1 (b) -33224 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 8*t**2 + t + 9. Does 14 divide o(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrxxrrxxrh. What is prob of picking 1 h and 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10590*q - 10575*q - 635520 = 0. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*r - 762*r - 1395*r - 98*r + 232*r.\nAnswer: -2206*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -61. Is ((-3054)\/(-8) + -1)*(-112)\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(91)\/((2*sqrt(84) - sqrt(84))\/sqrt(12)) + -3 + (4 + sqrt(208))**2.\nAnswer: 33*sqrt(13) + 218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 + 36*c**3 - 9*c**2 - 300*c + 396 = 0 for c.\nAnswer: -3, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2696*y + 6868*y - 287868 for y.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 106*t**3 - 19*t**2 + 95*t - 675. Is l(8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 19. Let a be h(-13). Let y = 9 + a. Solve -c - y*m = -3*c - 14, -2*m = -4*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - -3*(-4)\/6. Let r be 0 - q - 0\/(-3). Let h = 13 - r. Solve -2*k - 5 - h = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1366*f**3 - f**2 + 5*f + 28. Let n = -11 + 3. Let p be a(n). Let o = 1219468 + p. Round o to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 159. What is the remainder when o is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 8:19 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {w: 7, q: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (12 - (3 + -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/60 and 139\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.4302041 millennia?\nAnswer: 43.02041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**5 - 5*d**5 - d**5)*(44 + 45 - 25)*(-4 - 7 - 8) + d - 2*d**5 - d + (0*d + 2*d - d)*(-d**4 + 2*d**3 - 2*d**3).\nAnswer: 2429*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 11 = 4*k + 8, 25 = 5*n - 5*k. Let r(q) = -q**2 - 6*q - 6. Let c be r(-4). Put c, 0, n in decreasing order.\nAnswer: c, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1651 + 607 = 4*y, h - 3*y - 249 = 0. Calculate the remainder when 544 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40744174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4319\/1512 + -3)*3\/30 and -79\/2160.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328030.\nAnswer: 2, 5, 332803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 16*t**2 + t - 14. Let s(j) = j**3 + 8*j**2 + j - 7. Let p(i) = -4*r(i) + 9*s(i). Calculate p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*m - 5*w = 71*m - 4, -10 = -m + w. Let g(z) = 1471*z + 50. Is g(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29334864 divided by -9778288?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56641.91 + 56390. Let x = -634 + 888. Let j = x + i. What is j rounded to 1 dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c - 14?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 46*q**2 - 205*q - 249. Let a be k(-50). Which is bigger: a or -2\/38193?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.3 - -71. Let a = b - -1. What is the third biggest value in 4, a, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-9 - -4) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892 - 892 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*s = -14, -q + 4*s - 2 = 8*s. Suppose z = q*z - 2*h + 2, -26 = z + 4*h. Is 17 a factor of (4\/z)\/((-5)\/225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 303532467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.7 - 95.7. Put -9, 0.02, v in decreasing order.\nAnswer: 0.02, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17504.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, -1\/3, 1\/6, 1, 4\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2 - (7 + 1). Is 10 a factor of 4\/(-12) + (-122)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270 - -132. Let l = q - -205. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -s - 4, 2*a = -s - 0 - 4. Suppose 7*q - 2 = 3*d + 3*q, 0 = 3*d - 3*q. Suppose 0 = t + d*t - 3. Solve 3*k = -j - a*j + t, 2*k - 10 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2500) + sqrt(2500)*1)*-6)\/((sqrt(500) - 2*sqrt(500))*5*1).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/36, 24, -0.01792?\nAnswer: -0.01792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t\/(t*t**(-1)))\/t))**24\/((t*t**(-6))\/(t\/(t\/t**5)))*((t\/(t\/((t*t**0)\/t)))**(-19))**(2\/17) assuming t is positive.\nAnswer: t**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:31 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1901*m**2 - 2*m + 12. Let d be s(-9). Let z = -714011 + d. What is z rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17613062281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/4, -0.1, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y - 9. Let a be t(6). Let j = a - 23. Suppose -3*w = -j*w - g + 3, 3*w - 11 = -4*g. Calculate the least common multiple of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2578660416 to the nearest integer?\nAnswer: 50781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - s + 2 + 2*s**3 - 4 - 2*s**4 + 2*s**3 in the form j + c*s**3 + t*s + x*s**2 + v*s**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.822 * -10\nAnswer: -8.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -60*h + 2. Let f(n) = 2*n**2. Give s(f(u)).\nAnswer: -120*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6283 or -6285?\nAnswer: -6283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 6. Suppose -4*i - 14 = -m*r - 2*i, 12 = 4*i. Solve 10 = -2*a + r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1591296 and 35\/12.\nAnswer: 1591296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 12*n - 6*n. Calculate the remainder when 61 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {l: 12, p: 2, f: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17694 + 17693.91831. What is l rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 6514591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3228449405 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 3 (c) -2\/17 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 15 - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -126522 + 253007 - 127223 + 4*u**2 as c + i*u + v*u**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 193 in 409, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 9*h + 15. Let g(j) = -j**2 - 1. Let w(i) = 3*g(i) + v(i). What is w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5 + 2*r - r - 17 wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7.4. Let k = 19.48 + 0.52. Let u = k - 24. Which is the third smallest value? (a) 1\/2 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - -22. Suppose q + 27 = 4*y. Let m = -7 + y. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67715167*n**3 - 392042366*n wrt n.\nAnswer: -406291002*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -77. Let k = 16 - i. Let y = 7 + k. What is the third biggest value in 0, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -27*t + 9. Let g(w) = 3*w - 2. What is -10*g(n) - 2*i(n)?\nAnswer: 24*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, j: 4, h: 2, r: 4, w: 1, y: 6}. What is prob of sequence nywn?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/5 + 87*w**2\/5 + 117*w - 135.\nAnswer: 3*(w - 1)*(w + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 1064.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-6)*(-6)\/7. Let w = 26 - 26.02. Let v = 0.083 + -0.483. What is the second smallest value in y, v, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -0.5, 0.025, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2597045 + 16?\nAnswer: 2597061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137402542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1948\/(21 + -23)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201732 or -201735?\nAnswer: -201735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d**4 + 4450*d**3 + 403*d**2 - 399880*d + 564 wrt d?\nAnswer: -132*d**2 + 26700*d + 806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**24)**16)**(-43) assuming s is positive.\nAnswer: s**(-16512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1200\/(-132) - -9)\/((-3)\/11)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let r(o) = -3*o. Let w(l) = -4*h(l) + 3*r(l). Let s(m) = m + 5. Let k be s(-3). Let q(v) = 10*v**2 - 3 + 3 + 0*v**k. What is q(w(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8992?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/7)\/y**(-2\/13)*y*y**(-2)*y**3*(y\/y**(-5\/3)*y*y**(-5\/3))\/(y**1\/(y**(2\/9)*y)) assuming y is positive.\nAnswer: y**(3116\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - n**2 + 4*n + 2. Let i(f) = -3*f**3 + 2*f**2 - 3*f - 2. Let u(o) = -5*i(o) - 4*q(o). What is the units digit of u(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 - 16 = -2*r, -4*r - 2*m + 8 = 0. Suppose -4*a = -r*s + 4, -3*a - 5 = -2*a - 2*s. Suppose 0 = -5*j - a*j. Does 2 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 7*x - 9. Let o(h) = -h**2 + 7*h + 9. Let m be o(8). Let p = 7 - m. What is b(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1731*j - 7 + 16.\nAnswer: -1731*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 718608 and 3985008.\nAnswer: 43835088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 8. Suppose -5*w + v = -w. What is the second derivative of w*k + k + k**4 - k wrt k?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/204)\/((-1)\/3). Let k = -6880 + 6880.9758. Let y = k - -0.0242. Sort d, y, -4, 2 in decreasing order.\nAnswer: 2, y, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**2 + 2*b**2 - 2*b**2)*(5*b**3 - 3*b**3 + b**3).\nAnswer: 24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/9383 and -87\/3412?\nAnswer: 37532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-12) + (-7 + 4)\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, t: 1, h: 1, s: 7}. What is prob of sequence ohss?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/21)\/(11\/33). Let b(u) be the first derivative of -7\/2*u**h + 0*u**3 - 4*u**2 + 0*u - 5. What is the second derivative of b(w) wrt w?\nAnswer: -84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10640 is divided by 441?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21024527 (base 9) to base 7\nAnswer: -151652302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let d = 58 + -30. Let y(o) = 4*o**3 - 10*o**2 - 10*o + 14. Let n(h) = d*j(h) + 2*y(h). Solve n(u) = 0 for u.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + m**2 + 2*m - 3. Let c(f) = f**3 - 4*f**2 - 4*f. Let n be c(5). Let y = 7 - n. Give q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-66) + (-12)\/(-792). Which is the third biggest value? (a) 0.4 (b) -17 (c) 2 (d) y (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 354798, 354799, 354800?\n\"Answer: y + 354797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, 2, -0.4 in increasing order.\nAnswer: -0.4, 6\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -139884 and 314.\nAnswer: -139570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**27)\/c**(-2\/53)*c\/(c**16*c)*(c**5\/c)\/c assuming c is positive.\nAnswer: c**(-1959\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2))**42*x*x**(3\/5)*x**(1\/6)*x*((x\/(x*(x\/(x\/x**7))\/x)*x)\/x*x**10*x)**(-36) assuming x is positive.\nAnswer: x**(-4687\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from wllwlwllwllllwll.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = -2*l + 279. Suppose 0 = -q + l - 19. Let d be 1*q\/(6 + -3). Solve -d*t - 16 = -i, 0 = i + 4*t - 0*t + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68\/51 + (-202)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-26388)\/(-10)*(-10)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 45415285.\nAnswer: -45415285.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(1 + (-8 - -3)). Find the second derivative of -14*f - 25*f + 2 + d - 4 + 76*f**4 wrt f.\nAnswer: 912*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -290 - 670. Solve 8*a + 0 - v = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*-4 + -1 - -5. Let i = -10 - p. Suppose 2*d + i*r - 176 = -2*r, 0 = 5*d + r - 476. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.012, 0.2, 0, 0.64 in ascending order.\nAnswer: -3, 0, 0.012, 0.2, 0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -245 by 1118.\nAnswer: -245\/1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a90 + -b?\nAnswer: 2a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3700 - 7640. Is (-3)\/(2 - f\/3943 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z**2 + 5 + 5*z**2 - 3. Let i(f) = 1. What is -2*i(y) + s(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**2 + 168*f + 456. Let g(b) = b**2. Give n(g(c)).\nAnswer: -2*c**2 + 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*o + 67*o - 48*o)*(-1 + 2 + 2) + (-6*o + o + 4*o)*(-2 - 3 + 6) + 5 - 2*o - 5 - 2*o + 2*o - 2*o.\nAnswer: -248*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 38*u - 9*u - 5 - 9*u - 19*u + 2*u**2. Let b(t) = -t + 1. Give -3*b(j) - h(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -61270 - 61263 + 4*i + 122464. Give a(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(10\/25)*(-5)\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755981462.\nAnswer: 2, 19, 3631, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*i - i + 6*i)*(-5 + 0 + 0) + 0 - 4*i + 0)*(i - 4*i - i) to the form s*i + w*i**2 + y and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 1, g: 1, a: 3, q: 1, y: 11}. What is prob of sequence aa?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -38. Suppose 16 = 3*w - w - 2*h, 5*h = -2*w + s. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 263, 1163, 2663, 4763, 7463, 10763?\n\"Answer: 300*j**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/10 (b) -0.2 (c) -1.2 (d) 2\/5 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.92 + -0.08. Let k = -1.039 - -0.039. Put 0.4, w, k in ascending order.\nAnswer: w, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1 + 1 + sqrt(180) - (sqrt(180) - -2*sqrt(180)*3) - (-1 + 4*(0 + sqrt(180) + sqrt(180)))*-5)**2*-6.\nAnswer: -1323150 + 12600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) -4 (c) 0.9 (d) -0.1 (e) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -702, -1408, -2116, -2826, -3538, -4252, -4968?\nAnswer: -5686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767786.\nAnswer: 2, 3, 37, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.20705 tonnes in micrograms?\nAnswer: 86207050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 + 6*m - 14. Let b(q) = -q**2 + 5*q + 2. Let i = 8 - 4. Let g be b(i). Is x(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296465256.\nAnswer: 2, 3, 173, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 252584471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.4, -5, -0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 33. Let j = -4 - 1. Let v(a) = a**3 - a**2 + 1. Let p be v(1). Put z, p, j in ascending order.\nAnswer: j, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -0.5, -12\/7, -9 in increasing order.\nAnswer: -9, -12\/7, -0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 155574 and 3785634.\nAnswer: 11356902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 13. Suppose -19*z + 18*z = u. Let f be (z - -7)\/(1\/134). Round f to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-50)\/15)\/(-1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 + 7 + -15 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 3. Let l = 2014 - 2018. Sort 5, l, a in increasing order.\nAnswer: l, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -1\/40*m**6 - 1\/672*m**8 - 1\/4*m**3 + 0*m + 7\/48*m**4 + 1\/84*m**7 + 0 - 1\/60*m**5 + 30*m**2. Factor l(a).\nAnswer: -(a - 3)*(a - 1)**3*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let q(z) be the second derivative of 28*z**3\/3 - 221*z**2\/2 - 24*z + 1. Let l be q(4). What is the nearest to 3 in -5\/3, v, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*t + 29472 = 0, 0 = -3*k - 0*t - t + 29472. Let o = -275133\/28 + k. Calculate the common denominator of o and -15\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + -1*sqrt(11)*-1*-5)**2 + -5*(5 + (sqrt(11) - sqrt(44)\/sqrt(4))**2) + -1*sqrt(99)*-6.\nAnswer: -32*sqrt(11) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*a + 4 = 0, -p + 2*a = -0*p. Let v be ((-11)\/22)\/(p\/28). Suppose -65 = -v*h + 12. What is the greatest common divisor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*t + 8 - 4 - 9*t + 11 to l*t + r and give r.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + -3 - (-25 + 10 - -10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 76*f + 1. Is c(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1198 - 1208. Let c(l) = l**3 + 9*l**2 - 10*l - 1. Give c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 53 = 3*h, -h - 25*a + 136 = 92 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/7 - 10\/(-35). Let h(c) = -c - 6. Let x(m) = m + 5. Let k(i) = w*h(i) + 5*x(i). Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-9 + 1 + (-1 - -27)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1174.9 + -1226. Let x = -51 - g. Which is the biggest value? (a) x (b) 5 (c) -3 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48659455 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*c - 25. Let -8 - c*s**3 - 20*s - 12 - 6*s**3 + 35*s**2 = 0. What is s?\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.04. Let r = 90 + 32. Let d = -122.061 + r. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1011001?\nAnswer: -1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-47709)\/(-114))\/((3\/(-2))\/(-3))?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-65)\/30)\/13*18\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 0.026082, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 - 17?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 96.86 - -14894811135\nAnswer: 14894811231.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56135.57 centimeters to meters.\nAnswer: 561.3557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*y + 7*y + 2, 2*y = -3*o - 1. Let c be (4\/(2 + -4))\/y - -4. Let k(b) = 2*b**3 - 4*b**2 - 15*b - 3. What is the units digit of k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4 = -4*z - 24, -4*w = -2*z - 10. Suppose -2*m + w*m = 0. Let i(j) = -j**2 + 5*j + 12. Let d(h) = -h - 1. Let q(c) = 6*d(c) + i(c). What is q(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/34*3\/(36\/(-16)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 8*c - 169. Is 23 a factor of m(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -31.9. Let c(r) = r**2 + 2*r + 3. Let t be c(-2). Suppose p = t*p. What is the nearest to 2\/21 in -2\/7, g, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 6*d + 572. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*f + 36*f + 175*f)*(0 + 0 - 1)*((0 + 0 - 2)*(0 - 2 + 4) + 4 + 3 - 8 - 3 + 4 - 3) in the form j + m*f and give m.\nAnswer: 889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -11. Solve 4*c + 0*c = p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03082978 to 5 dps.\nAnswer: 0.03083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*r - 15860 = 529*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -3)\/(3\/2). Let u(x) = -x**3 + 4*x**2 - 2*x - 1. Let r be u(3). Let l = c + r. Solve l = -3*z - 2*a - 15, 15 = z - 4*z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-4*sqrt(588)).\nAnswer: -sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -2*u, -41 = -3*a - 38. Let w = -333\/2 - -170. What is the smallest value in w, 2, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.2. Let l = -18 - -18. Put i, 0.1, l in descending order.\nAnswer: 0.1, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.29036 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1080 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 90961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.891214 and -15771198.\nAnswer: -15771203.891214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 47895453?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1235.099 nanometers?\nAnswer: 0.001235099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83497*0.4.\nAnswer: 33398.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 22)\/((-3)\/(-2)). Let n = 44 + m. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1001100110?\nAnswer: -1001011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43064638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18 + -17 - (-7 + 1 + -2). Suppose 6*t + 4*m + 21 = s*t, -t - 5*m - 12 = 0. Solve t = 2*y - 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053137321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1097*u = -1108*u - 55. Let p(t) = t**2 + t - 4. Let z be p(3). Put -3, z, u in decreasing order.\nAnswer: z, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-4 + (-6 - 1 - -20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20)\/(sqrt(4) + (sqrt(4) - (3*sqrt(48))\/sqrt(12))) + -1 + ((sqrt(120)*1)\/sqrt(12))\/(-2*sqrt(128)).\nAnswer: -17*sqrt(5)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 3. Let j be v(2). Suppose p + j = -0. List the prime factors of (1 - p)*(-14)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**8*b)\/b**(-2))**(2\/95) assuming b is positive.\nAnswer: b**(26\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 98*q**2 + 4*q - 2. What are the prime factors of g(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:12 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75426781990.9857 + -75430535565. Let w = -3753404 - f. Let z = -170 + w. Round z to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7)*(-56)\/20*4450\/3115\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m. Let r(n) be the third derivative of 233*n**5\/30 + 97*n**2 - 1. Calculate w(r(q)).\nAnswer: -2330*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18561, 37104, 55661, 74238, 92841, 111476, 130149, 148866?\nAnswer: 167633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 8 + 11 = -3*v, 5*p - 3*v = 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 - 45*r**2\/2 + 350*r.\nAnswer: r*(r - 70)*(r - 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001535 nanometers in centimeters?\nAnswer: 0.00000000001535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 4. What is the remainder when b(-13) is divided by ((-8)\/12)\/(2\/(-72))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + -1 + (-2 - -4). Suppose -f + x = -4*o, 3*f - 17 = 3*o - 5. Suppose -d - 3*d = -f*j - 29, -3*j = -3. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 1. Let p(a) = a**3 - 6*a**2 + a - 6. Let h be p(6). Suppose -2*c + 0*c = h. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3430\/33 - -106630\/1023. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 178*n**2 + 12*n - 1660. Give c(89).\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 27) + (0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 9*o - 5. Let g be t(8). Suppose g*p = -r + 10, -r + p = -2 - 16. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**5\/20 + u**2 - 6*u. Let d be p(-2). Let a(v) = 0 - v**2 - v**3 - 3*v - 1 + 5*v - 5*v**2. Give a(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(2*p**3 + 15*p**3 - 10*p**3) + 1 + p**3 - 1.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -201133103332 (base 4) in base 15?\nAnswer: -b862c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2082*r**2 - 40*r + 2 - 2083*r**2 + 40*r.\nAnswer: -r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - v = 0, 2*v + 8 = 5*s + 5*v. Let p(l) = -l + 18. Let x be p(12). Solve -s*q = -q + x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3507454, 3507453, 3507452?\n\"Answer: -v + 3507455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2\/3 - 2816630*g\/3 - 15021856 = 0?\nAnswer: -1408299, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 43. Let n = -12 + b. What is the lowest common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 399.\nAnswer: 398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 528, 2, 4, 3 in increasing order.\nAnswer: 2, 3, 4, 5, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 + -191. What are the prime factors of 391 + (-15 + 12)*(-8)\/r?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.56 + -5.36. Let m = 4.7981 + t. Round m to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -751673902 divided by -161?\nAnswer: 4668782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7533043 to the power of 1\/2, to the nearest integer?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 7*s**4\/24 + 5*s**3\/6 + 118*s**2 - 2*s. Let r(p) = -7*p - 4. What is 4*c(l) + 5*r(l)?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-27))\/((-66)\/(-9))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (6*(sqrt(77)*3 + sqrt(77)) + sqrt(77))\/sqrt(7) + 4*3*(sqrt(11) + 2)*3)*-4.\nAnswer: -244*sqrt(11) - 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 11*q**2 + 31*q + 179. Let m be s(13). Calculate the greatest common factor of 1159 and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, x: 1, t: 1, n: 1, y: 1}. Give prob of picking 1 t and 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**3*b)*b*b*b*b*b**(-5))\/(b**(1\/2))**(-12\/7) assuming b is positive.\nAnswer: b**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8\/359 + 1045\/1436. What is the biggest value in -31\/9, c, -1, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -q + 23 - 10, -2*j = -10. Let z be (10\/(-3))\/((-2)\/q). What is the third derivative of 10*a**z + 0*a**2 - 3*a**2 - 13*a**5 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 - 1\/6*f**4 + 1\/2*f**3 + 0*f**2 + 126*f - 1\/20*f**5. Factor o(z).\nAnswer: -z*(z - 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 25768*u + 25764 = 0. What is u?\nAnswer: -6441, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 4 (c) -8\/3 (d) -3 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/((-153)\/(-9))*(-1)\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -169.69966327512 - 0.30033573488. Let f = 170 + x. Round f to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194262 + 43338 = 1584*y for y.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205.4 - 205. Let w = -14 + 21. Suppose i - 4*i + 12 = 3*v, 4*i + v = w. Which is the fourth smallest value? (a) u (b) i (c) -1\/3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 34*6\/(-12)*(-1 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -34*c + 29*c. Suppose c*j = 33*j - 252. Calculate the least common multiple of 30 and j.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 5*p**2 - 31)*(-6*p**2 + 2*p**2 + 2*p**2)*((-2 - 4 + 4)*(-2*p - 1 + 1) - 4 + 2*p + 4 - 7*p + 3*p + 2*p).\nAnswer: 40*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from qppqxmmmmxx?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 136 = 5*m, 0 = -215*q + 112*q + 106*q - 2*m + 102 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 32 = -10*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*d + 38*d - 3*d)*(-3 - 1 - 32)*(-4 + 1 + 2)*(d + 3*d - 5*d) in the form q + p*d**2 + m*d and give p.\nAnswer: -2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(55 - 55 + 48*t) + 2*t - 3 + 3 + (2*t + 2*t - 3*t)*(-1 + 1 - 1) in the form m + u*t and give u.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3 + s**2 - 5*s + 3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 + 2)\/5*2. Let b be 95\/57*(38\/50 - 1). What is the smallest value in i, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 4169*x + 75366.\nAnswer: -(x - 4187)*(x + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 56300?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -3*c + x - 134, 4*x - 335 = 3*c. Let y = c - -4652. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102\/(-28611)*-9)\/((42\/44)\/7).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 11. Suppose -7*c + 4*c + 6 = 0. Let g(l) = -11*l**2 + 10*l**c + 6 - 8*l + 2*l. Give g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 23*k**2. Let t(j) = -35235*j**2. What is t(u(g))?\nAnswer: -18639315*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*z + 40, 4*l + 2 = -z + 19. Suppose 4 = 4*a - 3*a. Solve -a*g - l*f - 2 = 7, -f - 2 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18 - -18)\/(1 - 0). Let j(k) be the third derivative of -1\/18*k**4 - 1\/90*k**5 + 3*k**2 + 0*k + 1\/315*k**7 + 1\/90*k**6 + v + 0*k**3. Factor j(l).\nAnswer: 2*l*(l - 1)*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 7\/2*n**4 - 7*n**2 + 8*n + 0*n**3 + 2. Let t(u) = -9*u**3 + 9*u - 5. Give 8*t(c) + 5*z(c).\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/4, -0.1, -4, 63.9187 in descending order.\nAnswer: 63.9187, 1, -0.1, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/24)\/((24\/(-9))\/4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31, -29, -21, -13, -11, -21?\n\"Answer: -j**3 + 9*j**2 - 18*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 5*g - 2555, -g = 5*h - 4221. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 83235?\nAnswer: 83235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5692\/25677 + 14\/25677. Let g = -0.215 - -0.18. Put g, y, 4 in increasing order.\nAnswer: g, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 - -188.6. What is the nearest to -2\/3 in m, -0.11, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.558 and -56851464317.\nAnswer: -56851464317.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-72)*16\/1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 612 - 210 - 200 - 202 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 24 = 2*r, -4*f + 144 = -2*r + 48. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 4*k + 67196 - 18400, -z + 3*k + 12203 = 0. What is z rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*l = l - 5, 5*n - 3*l + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*2\/(12\/41))\/((-4778)\/(-7167))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4 + 820*s**3 - 21976*s**2 - 2501760*s + 29145600 = 0. Calculate s.\nAnswer: -46, 11, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7812.524 rounded to the nearest 100?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 481?\nAnswer: 5\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1.4. Suppose 2*h + 3 = -3*j, j + 4*j = 2*h - 21. Suppose 5*r = -2*v - 13, -6*r + h*r - 4 = 5*v. What is the nearest to r in 0.6, n, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 0, 0 = -0*z + 2*z - 2*q + 3920. Let o = z - -2949. Suppose t = v - 417, o - 152 = 2*v + t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6066 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26ca2 (base 13) to base 5.\nAnswer: -4304324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16970.236462 and 42.\nAnswer: 17012.236462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 + 2*g**4 + 8*g**3 - 46*g - 26*g**2 + 54*g - 3*g**3 in the form p*g**3 + z + j*g**2 + s*g**4 + c*g and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/78 and -59\/91.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -345073 - 2?\nAnswer: -345075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjrjjrmhjrnjrjrkrnjj. Give prob of sequence mjk.\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (10 - -4) + -39.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4 * 0.5.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 h when three letters picked without replacement from {n: 2, h: 2, s: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 213833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**9\/63 + g**8\/336 - 17*g**5\/10 + 77*g**2. Find the third derivative of m(t) wrt t.\nAnswer: -960*t**3 + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 v when four letters picked without replacement from vnjrvrsw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 19*p - 106. Let f be k(6). Let v(b) = 7*b - 52. Let t be v(f). Solve d + t = -1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22121011312 (base 4) in base 6?\nAnswer: 134220034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92*(-1)\/(-2)*1. Suppose 3*j = v - 1. Calculate the lowest common multiple of 9 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 10.2405.\nAnswer: -1.02405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 40 = -w - w, -4*q + 84 = 5*w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141491 + 141491.2. Let y = 0 - -0.5. Let p = 77\/3 + -26. Which is the second biggest value? (a) y (b) h (c) p (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*n**3 - 6 - n**2 + 2 - 2*n**4 + 4 as q + w*n**3 + j*n**4 + t*n + o*n**2 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-5)\/6*2. Suppose 0*n + b*f = 2*n - 102, 0 = f + 2. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-69*(-78)\/8970 + 18\/(-25))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 6*b - 476\/9.\nAnswer: 2*(b - 34)*(b + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2. Let q = 22 + -15. Let v(b) = -2*b + 3*b - b - q*b. Calculate y(v(a)).\nAnswer: 98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*p = -286, -4*n + 1068 = 6*p - 3*p. Let a be (6 + n\/(-35))*-7. Calculate the greatest common factor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 1. Let r(n) = -n + 10. Let u(l) = -6*r(l) + 6*z(l). Let d(q) = -q + 5. Let c(w) = -27*d(w) - 2*u(w). What is the derivative of c(t) wrt t?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rri when three letters picked without replacement from jmjrrtits.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 70 + 22*f - 29 - 33*f. What is the tens digit of t(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j + 2. Calculate p(-6).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - (5 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.1 + 56. Let c = 0.1 + v. What is the nearest to c in -1, 4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39105*s - 262575 = 42606*s for s.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10157825.000044 - 10157805. Let b = o - 20. Round b to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -291 or -292?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 1789*c + 2. Let d(g) = 3*g. Calculate y(d(w)).\nAnswer: 18*w**2 + 5367*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30642359 divided by -2785669?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6232.5 - -335?\nAnswer: 6567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 11124532*k + 311490032.\nAnswer: -4*(k - 28)*(k + 2781161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33851 and 10?\nAnswer: 338510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6 - 0. Let w be (-39)\/(-3) - b*1. Let a be (8\/w)\/((-6)\/(-15)). Is a less than 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137509565?\nAnswer: 5, 359, 76607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35086, 70142, 105198, 140254, 175310, 210366?\n\"Answer: 35056*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.031275 - 55.482725. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-1035)\/(-18)*9\/15)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 1. Let b be (4\/h)\/((-4)\/54). Let x be 6\/b*3\/2. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 574370 and 1?\nAnswer: 574370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.972881 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + -17 - (43 - 82).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -97*p**2 - 95*p - 3. Let z(v) = 290*v**2 + 282*v + 10. Let o(q) = -10*a(q) - 3*z(q). What is the second derivative of o(u) wrt u?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3855580935 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 61126?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32071239 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 25. What is the lowest common multiple of n and ((-33)\/9 - -4)*21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81046793 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 16*f**3 - 59*f**2 - 6. Let w(z) = 15*z**3 - 59*z**2 - 7. Let x(n) = 7*b(n) - 6*w(n). What is the third derivative of x(h) wrt h?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -93, -16, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -112230110111 (base 4) to base 13\nAnswer: -130384a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xws when three letters picked without replacement from {f: 5, p: 3, s: 1, w: 1, x: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/130*121784\/(-112416).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*s - 85 - 83 = -13*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(33)\/sqrt(3)*1 + sqrt(11)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 296, 775, 1428, 2255, 3256, 4431?\nAnswer: 5780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 9*f**3 - f**2 + f - 1. Let q be c(6). Suppose -2*j = -g - 1119, 5*j - q = g + 886. Round j to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*j + 4 = 0, -3*r - j = 2*j. What is the units digit of 0*(-3 - r) + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -311*v - 361 - 14*v - 144 wrt v.\nAnswer: -325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -12*d. Suppose 26*k + 29 - 133 = d. Solve 4 = 3*u + 4*c, u + k*c = -u + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2730, -5493, -8246, -10983, -13698, -16385, -19038, -21651?\n\"Answer: k**3 - k**2 - 2767*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2029 + -1961. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 44217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 5*i**2 - 3*i - 11. What is j(5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334 - 304421?\nAnswer: -310310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(2548)*-6 + -4 + 5.\nAnswer: -420*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4333*q + 1843 = 4352*q. Which is bigger: q or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*q + 4*q, 5*q + 26 = -z. Let g = -16 + 18. Suppose g*b - 4*b - 4 = 0. Is b less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1508\/(-130)*(-2)\/(-102) and -26\/561.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30868 + 30870. Solve -4*o + 5*j = 18, 5*o - f*j + 17 = -14 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 117327, 8 in increasing order.\nAnswer: 1, 8, 117327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 315\/8 + -1849\/24. Let v = -38 - c. Let p be (-1 + 2)\/((-1)\/(-4)*-2). What is the second smallest value in v, p, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p + 0*p**2 + 4 - 2*p**2 - 7 - 2 + 0. Let a(j) = 3*j**2 - 4*j + 4. Calculate 5*a(i) + 4*k(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37665 = -4*o - 6697. Suppose 7*b = o + 6965. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-1\/10)*a*a*(a**(2\/59)\/a*a)\/a*a assuming a is positive.\nAnswer: a**(1849\/590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.14959 to one decimal place.\nAnswer: 18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 17. Suppose 2*p - z*p = -5*l - 990, 0 = 3*p + 2*l - 731. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 2 + (1 - (10 - (-8 + 30 - 7)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Let x be -1*p*(-2)\/(-8). Which is the third smallest value? (a) -0.3 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - 459\/(-34))\/((-19)\/114)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.648 - -0.012. Let s = j - 0.16. Let i = -0.38 - -0.48. Which is the closest to i? (a) -2 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdfifdf. What is prob of picking 2 d, 1 g, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 12*y**2 - 36*y - 30. Let h be c(14). Let j = 154 + h. Which is greater: 5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 3\/2*q**2 + 1\/12*q**4 - q + 0 + 1\/6*q**3 + 1\/60*q**5. Let h(z) be the first derivative of a(z). Find b such that h(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8248, -16501, -24754, -33007, -41260?\n\"Answer: -8253*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-12)*-2 + 20\/6. Solve 3 = -7*b + d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -4*x + 3*d, 4*d = -2*x + 3*d + 73. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n + 52. Let j(d) = -3*d + 26. Let r(k) = -4*c(k) + 9*j(k). Suppose 0 = x - 16 + 2. What is the remainder when r(0) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45712 and 7528.\nAnswer: 43014992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 335\/559?\nAnswer: 335\/559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {y: 2, g: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24114638, 48229280, 72343924, 96458570, 120573218?\nAnswer: 144687868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254685*c**4 + 31*c**3 + 116486501*c**2?\nAnswer: -6112440*c + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -462438 - 0?\nAnswer: -462438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(-156)\/39\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 47. Let v be ((u - 1) + 2)*(-2 + 1). Let m be (-2 - -5) + v + 23. Calculate the greatest common factor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11913 - 6808. Let x(p) = -w + 2*p + 5105. Let g(l) = 0*l - 3*l - l. What is g(x(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53575 + 25588 = -1841*x for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15 + -10) - 0 - (-12 + 13)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62 and 10010.\nAnswer: 310310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/370054806 and -31\/100924038.\nAnswer: 1110164418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24321 and 447.\nAnswer: 3623829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411 divided by -3.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 709?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3950632 at least -3950611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523762.4 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 14*x - 58 - 16*x - 30.\nAnswer: -2*x - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q + 2. Give u(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*w**5 - 236903*w**4 + 27860*w - 157.\nAnswer: -620*w**3 - 2842836*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*6\/(-252))\/(1*5\/15)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 71 + 97 + 98*y + 88*y - 46*y + 28*y. What is s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32792.5*-1.23.\nAnswer: 40334.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147.25322 rounded to the nearest integer?\nAnswer: -2147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6377 divided by 7.\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d - 588?\nAnswer: -5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5410303 and 11?\nAnswer: 59513333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16105, -64479, -145103, -257977, -403101, -580475?\nAnswer: -790099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -134, -583, -1384, -2579, -4210, -6319, -8948, -12139?\n\"Answer: -7*y**3 - 134*y**2 + 2*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 4:21 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9022 - 18322 = 775*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 8. Let i(y) = 2*y + 9. Let w = -2160 + 2156. Suppose 4*u - 3 = 5*u. What is u*i(p) + w*j(p)?\nAnswer: 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*t + 112 = 93*t. Let m(n) be the first derivative of -n**4\/4 + n**3 + 3*n**2 - 3*n + 5. Let l be m(4). Solve 30 = -l*p - s + 6*s, -t = p - 5*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 844875 - 277490 = 0. Suppose 11*x - d - 3897 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79053 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwceweewkww.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/5 - 354*a\/5 + 712\/5 = 0. Calculate a.\nAnswer: -356, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 179*s**2 - 362*s - 49. Calculate v(-181).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(1*sqrt(245)*-2 - (-3*(sqrt(245) + -1) - sqrt(245))) + 1)**2*3.\nAnswer: -9576*sqrt(5) + 106923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(343) + (-1 + sqrt(343))**2)*-4*2 - ((4*(sqrt(343) - -2*sqrt(343)) - sqrt(343)) + sqrt(343) - (2*sqrt(343) + 3))**2*-4.\nAnswer: -1792*sqrt(7) + 142740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76130827389 minus -0.13?\nAnswer: -76130827388.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*c = -54. Suppose k + 3*i = -c, 4*k = -2*i + 7*i - 2. Let z = -7 + 12. Put -4, k, z in descending order.\nAnswer: z, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612050 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4896 or 2?\nAnswer: -4896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*v. Let b be (-44)\/(-8) + v\/2. Does 32 divide (-10)\/(1 - b\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -231, -384, -537?\n\"Answer: -153*w - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 13 = -3*m - t, 15*m - 5 - 4 = 17*m + m + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -7. Let u(w) = -w**2 + 4*w + 3. Let k be u(5). Let a be 5*((k - 1) + r). Solve a*v = -2 - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 16819083.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 647499691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*n**2 + 419*n**2 - 1687*n**2 + 426*n**2 + 419*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 72*c + 5 - 217*c + 72*c + 70*c. Calculate z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 5*f**3 + 5*f**3 - 2*f**2 - 4 - 13*f**3 as r*f**2 + o*f**3 + q + c*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + ((-2 + sqrt(396)*1)**2 - sqrt(396) - (0 + (sqrt(396) - sqrt(396)*2)**2))) + -5)*5.\nAnswer: -300*sqrt(11) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0500035 + 0.05. Round j to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 82 = r - 5*v, r + 31 = 2*v. Let n = 110 - r. Suppose -n = -3*m - 5*h, 4*m - h = -0*h + 193. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (9 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8685870 - -4?\nAnswer: 8685874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 16106\nAnswer: 143\/16106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 - 9.5. What is the biggest value in -1, -4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -33, 5, 3, 0, -41 in descending order.\nAnswer: 5, 3, 1, 0, -33, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*p - 408*p + 935*p - 5 - 366*p in the form m*p + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*i + 3*r - 7*r, 4*r - 18 = -5*i. Let v(z) = 2 + 5 - z**3 - 5 - 8*z - 6*z**i + 6. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120221 - 133?\nAnswer: -120404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-4) - (-1)\/2. Calculate the least common multiple of (-7)\/42 + 61\/v and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 26*p**2 + 3*p - 22. Let b be m(26). Suppose f + 5*t = b + 29, -5*t + 25 = 0. Suppose -4*r - f = -224. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1501.2 to the nearest ten.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y*(y*y\/(y\/y**(-1\/16)*y))\/y))\/y**(-2\/3))**(2\/37))**(13\/4) assuming y is positive.\nAnswer: y**(455\/3552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.004 + -6.\nAnswer: -3.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-6 + 6 + (1 - -1)) - -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 388 = 3*x, 0 = x - 4*r - 133 + 13. Let y = x + 9. Calculate the remainder when y is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7510376 + -26788376. Round x to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = b - 20, -6059*b - 5*v = -6062*b - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 6*r - 4*r - 2486, -3*r = -9. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l\/((l*l**(-2))\/l))*l)\/l*l*l*l*l*l*(l\/l**(-1\/6))\/l)**(-8\/9) assuming l is positive.\nAnswer: l**(-100\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -442779 + 1?\nAnswer: -442778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 0 + 1\/6*b**3 + 0*b - 15*b**2 - 1\/8*b**4. Determine s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3120\/90 - 10?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*t + 22, -j + 14 = -4*j + 5*t. Let m(f) be the first derivative of -14\/3*f**3 + 12*f**j + 4 + 8*f. Factor m(v).\nAnswer: -2*(v - 2)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 23*l + 16. Calculate s(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 19.73.\nAnswer: 118.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -705, -1407, -2109, -2811, -3513?\nAnswer: -4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*(-8)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20550)\/(-18495)*(-24)\/(-100).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*w**6 + 1880*w**5 - 17*w**3 + 5*w**2 - 3467741?\nAnswer: 19200*w**3 + 112800*w**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -403, -593, -767, -919?\nAnswer: -1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 1) + (494 - 506) + 65.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 82029050 and 82029050 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*v = 526*v - 4*y + 13, -v + 15 = 4*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1124, -4107, -9162, -16289, -25488, -36759?\nAnswer: -50102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3908604 divided by -6004\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8 + 0 + 2 - h. Let b be x(5). Let f(i) = 0*i + 6*i - b*i. Let s(t) = -3*t. Determine s(f(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335, 1317, 2953, 5243, 8187, 11785, 16037?\nAnswer: 20943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165931983889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) -7 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3859*k + 6145*k - 2504*k.\nAnswer: -218*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + y + 6 = 0, 2*y + 4 = -b + y. Suppose -2*p - 3*t - 1 = 0, 0 = 6*p - 4*p - 3*t - 5. Put -6, b, p in decreasing order.\nAnswer: p, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -177\/58, 6, 283?\nAnswer: -177\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1108\/5 or 223?\nAnswer: 1108\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*n*x - 37*b**3 - 2*b**2*n*x - 2*b**2*n + 362*b**2 - b*n + 48540*x wrt x.\nAnswer: -2*b**3*n - 2*b**2*n + 48540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 337, 1132, 2681, 5236, 9049, 14372, 21457?\nAnswer: 30556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25864133 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 3151*p + 31415. Suppose 889 = 3*b + 2*m, 0 = 2*b - 0*m + 2*m - 592. Calculate the remainder when b is divided by c(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**4\/2 - y**3\/2 - 13*y**2\/2 + y\/2 + 6 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12, -2, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 146211.\nAnswer: 1\/48737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/10 and -13\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from {f: 2, g: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480191241?\nAnswer: 17, 107, 151, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.017 - 93.017. Let q = -99 - t. Which is the closest to 2\/7? (a) q (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/883?\nAnswer: 1\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2115 and 38070?\nAnswer: 38070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 10*x + 60. Suppose 214 = 2*f + x. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - 2*u + 110. Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*z**3 + 9745*z**2 - 40430*z + 18920 = 0.\nAnswer: 22\/41, 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/13 (b) -5 (c) 1\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1508 and 3081.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0*x**7 - 11\/12*x**4 + 0*x**3 + 0*x**5 - 11*x + 0*x**2 + 0*x**6 + 3\/14*x**8 + 0. Find the third derivative of s(v) wrt v.\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119654.8 micrograms to nanograms.\nAnswer: 119654800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 4*r + 7*r + 10*r + 0*r - 7*r - 2*r + 2*r.\nAnswer: 6*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -475 divided by 95\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l - 13. Let n be w(-11). Find r, given that -16*r + 7*r**2 + 16 + 28*r**2 - n*r**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a3820 (base 11) to base 14\nAnswer: -3d25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 + 85. Let s = 32 - b. Solve 0 = u + s*u - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-8)*j)\/(j**5*j) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-30))\/(1\/(-9)). Suppose -x*c + 6*c - 951 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 37*j - 290. Let w be t(7). Let x be (3 - 5)*6\/4. Let h = w - x. What is the remainder when 59 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**4 - 353263*f**3*k + 22295*f**2*k + 19*k wrt f?\nAnswer: -72*f - 2119578*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.07, -3, 187?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 21*n**2 + 16*n - 7. Is p(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 6. Let g be t(-3). Let m be g\/(2 - ((-21)\/6)\/(-7)). Suppose -3*k - 18 = 3*r, -k + m = 2*k - 4*r. Is k at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/11, 3\/7, 0, 0.3, -0.4, -0.04, -490?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26112)\/1456 - -18)\/((-42)\/(-182)) - (-79)\/(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2002111033 + -202?\nAnswer: 2002110231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 + 1 = 0. Let v be ((-1)\/2)\/(y\/(-6)). Let o = 5 + v. Solve 7*k = o*k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453.8632cm to meters.\nAnswer: 4.538632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13610021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8*(-4)\/40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -50. Let r be (-4)\/l*60\/8. Let d = r - -25. What is the smallest common multiple of 18 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21eb2 (base 16) to base 9.\nAnswer: 231516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29389*j + 410.\nAnswer: 29389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*m + 12. Let z be -1 + m - (-1 + 2). Calculate the common denominator of -79\/20 and -17 - z - 166\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224476\/5 or -0.15?\nAnswer: -224476\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s. Let m(f) = -2867*f. Determine m(q(k)).\nAnswer: 11468*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*s = 26, 2*z - 10 = -0*z + s. Let v(y) = -10*y + 2. Let i(c) = -5*c + 1. Let r(g) = z*v(g) - 9*i(g). List the prime factors of r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-72) - (-9)\/(-6). Which is the closest to -3? (a) n (b) 2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3761, -3813, -3865, -3917, -3969?\n\"Answer: -52*z - 3709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2045.\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2, 6, -1\/1586?\nAnswer: -1\/1586","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*r - 4*b = 770, -4*r - 4*b = 2*r - 6*b + 3*b + 55 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -5*p + 4*t, -t = -4*p. Suppose p = b - 2, -2*b - 6 = -0*m - 5*m. Let s be 78\/9*3\/m. What is the highest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 57 = 15. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 274*a + 17036. Let x be r(-62). Solve -x = 36*b - 30*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 + 1.9. What is the nearest to -0.1 in d, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 60 + (-17 - (-1 + -6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + l - 279, -j - 123*l + 283 = -118*l. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*t + 86*t - 8 + 37*t.\nAnswer: 7*t - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/2 - 6*m**4 + 16*m**3 + 99*m**2 - 607*m\/2 + 195 = 0 for m.\nAnswer: -13, -5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4\/2 + 6883*o**3 - 41289*o**2\/2 = 0.\nAnswer: 0, 3, 13763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 4*d - 5. Let r = -1 - 5. Is u(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 12:01 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a. Let d(q) = -131381*q**2. Determine k(d(h)).\nAnswer: -1445191*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - -9.5. Let q = 21 - h. Let x = 0.1 - 0.3. Which is the biggest value? (a) -1 (b) q (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 4*h + 10. Let m be (12\/72)\/((-1)\/10)*3. Let i be f(m). Suppose -c = 0, -i*g + 4*c + 1285 = -0*c. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1255 and 324794.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8411683 at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1606538*m**2 + 3208250?\nAnswer: -3213076*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536793?\nAnswer: 3, 178931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 9:23 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 96*q - 72*q - 48 + 0*q**2.\nAnswer: -3*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356 + -278. Suppose 24*f - u = -2*f. What is the remainder when 152 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384533 is divided by 54796?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - g + 5*g**3 - 4*g**3 - 6 - 3*g**2 + 2*g**3. Let r be s(4). Suppose -r*q + 1184 = 2*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, -385, 2 in ascending order.\nAnswer: -385, -4, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -101, -4, 534?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 + 2.026. Let y = -0.074 - j. Put -2, y, 1.1 in decreasing order.\nAnswer: 1.1, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -12, 1\/2, -4, 0.31, -0.3 in descending order.\nAnswer: 1\/2, 0.31, -0.3, -1\/3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 - 22197*n**2\/2 - 40740435*n - 39097985518.\nAnswer: -(n + 1966)**2*(n + 40462)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -0.1 (c) -5 (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = b - 8, 0*g = -4*b + 2*g + 18. Suppose -1 - b = -2*m. Find i, given that i + 16*i + 19*i + 15 + 93 + m*i**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlfvlmvimlk. Give prob of sequence lll.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8278 (base 12) to base 2.\nAnswer: 11011101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 7. Give u(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 8:58 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i**2 + 3*i**3 + i - 3 - 2*i. Let v(y) = -13*y**3 + 9*y**2 + 4*y + 12. Let q(t) = -2*v(t) - 9*x(t). Let c be q(0). Which is greater: c or 2\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = q + 43098 + 7210, 2*t = 3*q + 100612. What is the ten thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*j + 312*j + 2 + 262*j to the form h*j + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033556 rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 13*z + 10. Let v be l(-11). Let h be (-18)\/27 - 5\/v. Which is the closest to -2? (a) 2 (b) h (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6748.999993449 + 6749. What is g rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d*y**2 - 64*d*y - 1025*d + 2*y**2 - y - 2 wrt y?\nAnswer: -6*d*y - 64*d + 4*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -45*x**2 + 6*x + 6. Let v(m) = 49*m**2 - 7*m - 7. Let f(i) = 7*u(i) + 6*v(i). Let a(o) = 13*o. What is a(f(l))?\nAnswer: -273*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, e: 4, m: 2}. Give prob of picking 1 i, 1 m, and 2 e.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 21)*3\/(-6). Let r(s) = -s. What is the remainder when 43 is divided by r(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2659492?\nAnswer: 2, 11, 60443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 12:20 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 4:10 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/1419, 0.5, -7332 in ascending order.\nAnswer: -7332, -5\/1419, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -66, -131, -222, -339?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exsex. What is prob of sequence xs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1275\/68 - (-6)\/(-8). Suppose 0 = 5*h + 5*y + 45, h + y = -h - x. Let d = h + 29. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -15, -3*d - 51 = -5*s + 88. Let f = s + -13. Suppose -q = -2*y + 7, -3*q = -2*y - 4 + f. Solve -3*b - y = -6*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22751 divided by 4?\nAnswer: -22751\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3049.1 + -2893. Let t = -149 + g. What is t rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144594 is divided by 5299?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r + 7. Let w be u(-3). Let n = w + -19. Let k(z) = z**3 + 4*z**2 + z + 1. Let q be k(-3). Solve -n*o + q = m - 2*o, 4*o = 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953957459 to the power of 1\/4, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 158944 - 158944 + 7*u**2 - 8*u**2. Let m(y) = -8498*y**2. Give k(m(j)).\nAnswer: -72216004*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-2)*(-6 + 2 + 2). Let c(t) = 177*t + 36. Is c(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = 4*t. Let x be -1*(-1 + t) + -13700000. What is x rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let j(c) = -52*c**2. Calculate j(w(v)).\nAnswer: -52*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321*p**3 + 527*p**3 - 850*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 - 38*p - 21. Let m(g) = 7*g**2 - 95*g - 45. What is 2*m(w) - 5*s(w)?\nAnswer: -w**2 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 2. Let a(i) be the first derivative of i**2\/2 + 2*i - 7. Let s(u) be the first derivative of a(u). Let x(f) = d(f) + 4*s(f). What is x(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 17}. What is prob of sequence hhi?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + u**3 + 1 + 3*u**3 - 3*u**3 - 2*u**3 + (u**2 + u**2 - 4*u**2)*(-u + 2*u - 3*u) - 204*u**3 - 3045*u**3 + 822*u**3 - 2402*u**3.\nAnswer: -4826*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 294 - 300. Let i(x) = 28*x + 165. Let k be i(c). Put -1, 0, k, -5 in descending order.\nAnswer: 0, -1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1 = -11. Let k = 16 - 9. Calculate the remainder when k is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(225\/(-48)) - 0. Let n = r - 2\/5. Let g = 0.627 - -3.373. What is the third smallest value in -1, n, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 10) in base 2?\nAnswer: -11010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.06.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.213098mg to tonnes.\nAnswer: 0.000000005213098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/sqrt(2) + (sqrt(228)*-2)\/sqrt(12))*-6.\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3713\/35 + -529\/5. Sort 4, -0.3, f, -205.\nAnswer: -205, -0.3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000385155 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*h - 188835, 4*p = -3*h - 56925 - 94136. Let a = 717811\/19 + p. Factor 2\/19*w**2 + 40\/19*w + a.\nAnswer: 2*(w + 10)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000177471691 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4578, 4577, 4576?\n\"Answer: -w + 4579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 20 = -j. Let r(g) = g**2 - 12*g - 6. What is r(j)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15186893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let b be q(-4). Let a(d) = 3*d + 3. Let n(r) = 3*r + 4. Let i(p) = b*a(p) + 3*n(p). Let x(m) = -2*m + 3*m - 2*m. Calculate i(x(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {l: 1, q: 2, p: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6689a (base 14) to base 2\nAnswer: 111100101101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.37807mg to nanograms.\nAnswer: 9378070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytpysdddpydd. Give prob of picking 1 t, 1 d, and 2 y.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4*m = -50, 7876*h + 4*m - 34 = 7881*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(972) - sqrt(972)*-1) + sqrt(972) + sqrt(972) + (sqrt(108) - sqrt(108)*-1))\/((sqrt(12) - (sqrt(120)\/(sqrt(10)*-1) - sqrt(12)))\/sqrt(2)).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73563 (base 8) in base 14?\nAnswer: -b203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2130062.\nAnswer: 6390186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/((7 + (-119)\/14)\/54). Let j = 473 + -275. Let u = c - j. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 2. Let p be g(-2). Let b = p - -5. Factor -2*a**5 + 4*a**4 + 6*a**b - 2*a**5 - 3*a**2 - 2*a - a**2.\nAnswer: 2*a*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 0. Let s be (12\/15 - 2)\/((-1)\/(-5)). Let t be (1 - -7)*r\/s. Put t, 1\/2, -7 in increasing order.\nAnswer: -7, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31113100310 (base 4) to base 16\nAnswer: 357434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.6 + -0.6. Which is the fourth smallest value? (a) 3 (b) o (c) -5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -35689 in increasing order.\nAnswer: -35689, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (21 + -36 + 6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141 or 6\/211?\nAnswer: 6\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w - 2. Suppose 4*k = -4*f - 1092, f - 1 = 1. Let c = k - -277. Calculate z(c).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 429570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.5, -5, -0.02, -2\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 - 3. Which is the closest to 1? (a) -1\/2 (b) s (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 1:14 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4*(-516)\/1161\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 + 247 = 24*q + 122 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**2 - s - 27. Calculate n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 11 = -d, 2*d - 136 = s - 141 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 3:38 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + 0*i**3 - 3*i**3 + 7*i**3 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c - 6. Let m = -11 + 14. Let t be o(m). Let k(i) = i**2 + 5*i + 2. Determine k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227464259?\nAnswer: 19, 117234961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f + 4274 = 4166 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6954424 less than or equal to -6954422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02708183 rounded to four decimal places?\nAnswer: -0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 36. Let k = -0.6 + h. Which is the closest to 0.2? (a) 1 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**5\/60 - r**2. Let w(c) be the second derivative of 5*c**4\/2 - 3311*c. Determine q(w(x)).\nAnswer: 900*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1811 - -1838. Calculate the remainder when 1563 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {l: 4, z: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*h - k + 11, 0 = -3*h + 2*k + 5. Determine f, given that -h*f**5 + 20*f + f**5 - 5*f**5 + 19*f**2 - 9*f**4 - 13*f**3 - 14*f**4 + 4 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (26 + -22) - (-6 + 36).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3792 in -3\/5, 61, -2\/13?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 5*k + 2. Let s be d(5). Suppose -2*t - s*t + 28 = 0. Let x = t - 5. Is 3 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*x + 25, 0 = z - 2*x - 2*x + 20. Suppose z = -5*v + 472 + 523. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 103 - 241. Let v = i + 29. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 6*z**2 + 4*z + 14. What is the tens digit of h(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kywvkyykvkkwhk. Give prob of sequence hy.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**2 - 4*d*p - 25*p - 3 wrt d?\nAnswer: -6*d - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67999292 - 67999347.9999908. Let x = t + 56. Round x to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/133 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19.5, 0, -29 in ascending order.\nAnswer: -29, 0, 19.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b**2 + 0 - 14 + 30*b**2 - 24 - 17.\nAnswer: 63*b**2 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -622, -832, -1038, -1240, -1438, -1632?\nAnswer: -1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Suppose -3*p + 4*p = v - 2, 4*p + m = -3*v. Put 4, 2, v in decreasing order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.79686 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 57 (b) -1\/7 (c) 0.1 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/48*-2 + 5\/(-30). Suppose 4*n - 3*f - 278 - 460 = 0, 0 = t*n + 4*f - 566. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Let q be 5\/(-4)*(-8 + c). Suppose 7*z + q = 2*z. What is the biggest value in -0.5, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285255 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*m - 338*m + 3029 = -26923 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 89*s - 2. Let i(z) = -454*z + 53. Let d(g) = -5*f(g) - i(g). Give d(12).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/15 - (-20)\/6. Suppose -3*j = u - 5*u + 4, -5*j + 4 = -4*u. What is the second derivative of -y - y**4 + u*y**4 - y**x wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*q - q - 1195 = 0, i - 4*q + 222 = 0. Let d = i - -372. Suppose 4*g - 208 = -0*g. Calculate the greatest common factor of d and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.14 + -0.14. Let t(o) = 2*o**3. Let h be t(1). Which is the nearest to 0.1? (a) k (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67196791 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36378*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*v**2*w**3*y + 152620*v**2*w**2*y**2 + 78*v*w**3 + 40*v*w**2*y + 1160*y**2 wrt v?\nAnswer: -52*w**3*y + 305240*w**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d - 1. Give c(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*w**2 - 46*w**2 - 35*w**2 - 4 + 3*w + 129*w**2 in the form x*w**2 + k + n*w and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c. Let l(n) = -2*n. Suppose 2*u = -2 + 8. Suppose u*p = 2 + 52. Suppose -p = -2*o - 0*o. Calculate o*l(x) - 2*r(x).\nAnswer: 2*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 630 + 46?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-9)*0 + 5. Suppose b - 5495 = -2*r + 2*b, y*b - 25 = 0. Let i be (-6080)\/2*r\/4. What is i rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(133) - (sqrt(133) + sqrt(133) + sqrt(133)*-2))*5)\/(-1*sqrt(343) - -2*sqrt(175))*1 + 2.\nAnswer: 2 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -347, -519, -691, -863, -1035?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + 1)*(-12)\/30. Suppose -8 = -4*w + 4. Suppose -5 = -g + 2*d - 3*d, w*g - 11 = -2*d. What is the greatest common factor of s and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 57*w + 23265 = 0. Let c be (3 + (-1 - 1))*w\/11. Solve 6 = 49*j - c*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*v + 36, 33 = -3*x + 4*x - 3*v. Let h be ((-6)\/2 - -103) + -7 - -3. Calculate the highest common factor of h and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55867 and 3703?\nAnswer: 1284941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -713 divided by 4\nAnswer: -713\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 26. Let m be p(-15). Solve o + 3*n = n + m, 5 = n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 3, -10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 223459815011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 24*v**2 + 23*v + 5. Calculate i(10).\nAnswer: -1165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/(-3) + (-4)\/12. Suppose -k*v = -7*v - 16. List the prime factors of (-187)\/v + (-6)\/8.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 61.28186ml?\nAnswer: 0.06128186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -0.3 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -0.12\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(10\/180)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - i + 57. Let a be h(-8). Calculate the least common multiple of (2511\/(-372))\/(a\/(-24)) and 12.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*k**3 + 1 - 2196*k - k**3 - 18*k**2 - 1 + 2201*k in the form i + n*k**3 + r*k + a*k**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -254 + 542. What is the highest common factor of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d = 3*q + 2*d - 14, 0 = -q - 2*d + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 11:42 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2\/5, -0.02, 3\/7 in decreasing order.\nAnswer: 3\/7, 2\/5, -0.02, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -59 (b) -4 (c) -3\/8 (d) 3\/2 (e) -17 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359502 is divided by 344?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377144328 a multiple of 2323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmkskkmrxkkkgk. What is prob of sequence mkmr?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 7*s**2 + 17*s + 5. Let c be u(-4). Let l = 31 + c. Is -113 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -10 + -21 + 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 9:10 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -325 divided by 1\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506 is divided by 98?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30677 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**4\/4 - 885*o**3\/4 - 36785*o**2\/4 + 219765*o\/4 + 289835\/2 = 0. What is o?\nAnswer: -91, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -76. Solve 0 = 4*a - 13 + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 101865*c**3 - 203750*c**2.\nAnswer: 5*c**2*(c - 20375)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:27 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1947525*w**2 + 3895047*w**2 + 19*w**3 - 1947522*w**2.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0 (c) -1\/75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + v = 3241, -6419 = 4*w + 3*v - 2102. Let h be (18500\/6)\/(3\/w). What is h rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 4. Let r(b) = 5. Let d(w) = 5*r(w) - 4*s(w). Find the first derivative of d(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 2)*(-45 + 8*u + 45) - 15*u - 31 + 31 as w*u + y and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 3 - 3 + u + 0*u - 2*u + (0 - 5 + 3)*(-u - 6*u - 3*u) + 2 - 1 - 4 + 2*u.\nAnswer: 19*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g + 4. Let y be v(-5). Let x = 484 - 500. Let a(r) = -2*r**2 - 29*r + 57. Let k be a(x). Solve -y*c = -c - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6045 and 274755.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -10 - -7) + 7 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13 + 284*a**2 + 17 + 288*a**2 - a + 290*a**2 - 860*a**2. Determine o(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19.9 + 24.34. Let p = c + 0.36. Let s = p - 3.8. Put 2, -0.4, s in decreasing order.\nAnswer: 2, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/15 + (-20)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -652 + -2?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/(-4)*(-544)\/(-85). Suppose n*j = 177*j + 19. Round j to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 704*i**2 - 24892*i.\nAnswer: -4*i*(i + 49)*(i + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1\/(-3)) + 0. Let h = 38 + -33. Sort -4, h, c in descending order.\nAnswer: h, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/5 and 151\/356748.\nAnswer: 1783740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 19*v**4\/21 + 34*v**3\/21 - 4*v**2\/7 + 31*v. Let s(f) = 0. Calculate f.\nAnswer: -1, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -16 (b) -4 (c) -0.4 (d) -3 (e) 2\/3 (f) 389\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001478193 rounded to 7 dps?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49858619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -551, -694, -839, -986?\n\"Answer: -a**2 - 140*a - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-3)*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1148.634 litres to millilitres.\nAnswer: 1148634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85079918 at least as big as 85079919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from -46.1267514.\nAnswer: -43.2267514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-22)\/(-2) - (-68)\/14.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 11*x + 11. Let y be l(-10). Suppose 3*a + 20 = -2*d, 5*a + 0*a = 3*d - 8. Put 5, d, y in increasing order.\nAnswer: d, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2704 - 2705. Let k = -3 + 2.7. Which is the nearest to n? (a) -5\/2 (b) 1\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 6. Suppose c*z - 4*z = 6. 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 ((-12)\/(-14))\/(-3567*132\/26796)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101301 (base 4) to base 7.\nAnswer: -413216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 21*j + 40. Let n be s(-18). Let b(y) = -2*y - 25. Let f be b(n). Solve f*l - 4 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8 (b) 7\/5 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-64))\/(-2*(-14)\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*t**2 - 27 + 40*t**2 + 24*t**2.\nAnswer: -2*t**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 3*o - 3. Let n be 6\/9 + (-2)\/(-6). Let q = -3 + n. Give w(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/2 + (-2)\/4. Suppose 8 = h*z - 0*z. Differentiate -5*b - z + 0 + 3*b with respect to b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 317 = -5*x, 3*x + 0*w - 179 = 5*w. Let j = x + -59. Solve 5 = 3*f - 2*m, -2*m - 15 = -j*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + h - 5. Let x be w(0). Let t(d) = -d**2 - 6*d - 1. What is t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35\/36 (b) 0 (c) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4843 + -4851. Let j(d) = 7*d**2 - 8*d + 9. Let t(s) = 2*s**2 - 3*s + 3. Calculate o*t(a) + 3*j(a).\nAnswer: 5*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) 0 (b) -4 (c) 3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56282.5500093 + 56283.07. Let q = m + -0.52. Round q to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1\/2, -2\/31, 0.4, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - h + 5 = 0, 2*h = 4*c + 14 - 2. Let y(r) = -3*r**3 - r - 1. Let t be y(c). Let s(z) = -2*z + z**2 - t*z + 6*z - 9. What is s(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24341002 to the power of 1\/3, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (11 - 7) + -18 + 33\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18317926 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4*(0 - -1))\/1. Let v = -2 - y. Let c(x) = x**2 - 6*x - 10. Calculate the remainder when c(8) is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3277 - -3284. Solve 34*w - o = 27 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*t = -17, -3*r - 7 = t - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -660b + -29404?\nAnswer: -33a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Suppose -192 = -4*y - b*y. Let k be ((-2)\/8)\/(20\/y). What is the nearest to k in -4\/7, 0, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4957 = -5*c - p, 742 = 2*c + 5*p - 1250. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.1 - -1.1. Let b = -4.7 - -1.8. Let r = b + 3. Sort 3\/7, r, a in descending order.\nAnswer: 3\/7, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 395\/45 - (-1 + 10). Let a = -197 - -206. Put -2, u, a, -4 in descending order.\nAnswer: a, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4121000 rounded to the nearest one hundred thousand?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 - 0) - (-22 - -24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/8)\/5)\/(19\/(-56848)*-44)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 5 + 22 - 552315*a**2.\nAnswer: -552315*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -185 + -2778?\nAnswer: -2930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-9)\/(-15)*(-255)\/357\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**3 - 63*q**3 + 328*q**3.\nAnswer: 242*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4863044358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - 10\/(-85)*-17. Solve 0 = 2*j - r + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991979629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -21 - (-47 - (-91 - -52)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 94 + 5*p**2 - 5\/2*p**4 + 12*p + 2\/5*p**5 - 14\/3*p**3. Find m such that i(m) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101110100111 (base 2) in base 7?\nAnswer: 322640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + 27 + -21 + -17 - (-1 + 29)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -414 in 0.1, -2, 2, 6, -58\/9?\nAnswer: -58\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4758\/732)\/((-2)\/(-16)*20\/(-15)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -413506 take away 330791?\nAnswer: -744297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33 (b) 3\/8 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g = -5*s + 35, 4*s + 5*g = -17. Let w be 1\/(5 + (-65)\/10). Let n(r) = -r**2 + 3*r - 1. Let x be n(3). What is the nearest to s in x, w, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 = n, -3*k - 68 = -2*n - 87. Let b(r) be the first derivative of 1\/4*r**4 + 5\/3*r**3 - 6 + k*r + r**2. Give b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17952527?\nAnswer: 17, 739, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeve?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 212, 968, 2228, 3992, 6260, 9032, 12308?\n\"Answer: 252*p**2 - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.057, -2\/11, 0.005, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 4 (b) 4.9 (c) 1 (d) -133 (e) 3\/7 (f) -0.177\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -11. What is the closest to 1\/3 in 4, g, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3 = 6*d - 3*d, 0 = 5*c - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 141780?\nAnswer: 141780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*t**2 + 70*t**2 + 31040*t - 31040*t.\nAnswer: 117*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338 + 334. Suppose u = -0*u + 2. Sort u, n, 10.\nAnswer: n, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyny when four letters picked without replacement from {n: 6, y: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 84913 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1700))*3 - 1*(1 + sqrt(1700))) + -3*-2*sqrt(1700)*-2*4 + -2)*-3.\nAnswer: 1380*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.9383868 rounded to 1 dp?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**5 + 50*d**4 - 396*d**3 + 940*d**2 + 398*d - 990 = 0?\nAnswer: -1, 1, 5, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/14 and (134\/8)\/((-42)\/7 - 2).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/17688 and -29\/120?\nAnswer: 88440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/20 + s**4\/2 + 8*s**3\/3 + 2*s**2 - 16*s. Let o be y(8). Solve 0 = -5*b + o*f - 23 - 22, -5*f + 15 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 49528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -f - 17, -b + 4*f = 3*b + 32. Let a be (b - -4)\/((-1)\/(-4)). Sort -0.4, 4, a.\nAnswer: a, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 270*z - 34. Let q(f) = 14*f. Calculate -2*h(n) + 44*q(n).\nAnswer: 76*n + 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 90\/(-315) - 2\/(-14)*254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (-1 - (-12)\/3)\/((-3)\/(-7))?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38\/5 - 489\/65. What is the biggest value in 1\/3, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/15455 and 71\/941350.\nAnswer: 10354850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24410 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 338.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 42*f**3 + 12*f**2 - 2. Let b(w) = 21*w**3 + 5*w**2 + 3. Let u(g) = -41*g**3 - 10*g**2 - 5. Let s(c) = 7*b(c) + 4*u(c). Determine 12*s(a) + 5*t(a).\nAnswer: 6*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.5 - 28. Let f = z + 9. Which is the nearest to -2\/5? (a) 1 (b) f (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from oqoqqqssss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/9 + 1486*u**2\/9 + 671825*u\/9 + 95979188\/9 = 0.\nAnswer: -788, -349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*i - 100, 0 = -c - 2*c - 3*i + 270. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9804020 - 5207387.\nAnswer: -15011407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2785 (base 10) to base 13\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -16, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.5 (c) 4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581307767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 103 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*4*1)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/12 - v**3\/6 - v**2\/2 - v. Suppose 1 = -2*c + 3. Let q(i) = i**3 + 4*i**2 + 3*i + 3. Calculate c*q(x) + 3*s(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 11:17 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3772*d*q**2*w - 10*d*q**2 + d*q*w - 360*d + 2*q**2*w + q - 14*w + 5 wrt q?\nAnswer: -7544*d*w - 20*d + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27595 is divided by 561.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:48 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*n + 162 = 0, -5*y + 2*n - 298 = -47. Let s = -46 - y. Solve m = 2 + s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*n - 124*n - 1 - 115*n as l*n + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1740177*p**2 - 464380 wrt p?\nAnswer: 3480354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2984, -5969, -8954, -11939?\nAnswer: -14924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-23 - (-2)\/2). Solve -1 = -4*p - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172023\/5 or 34405?\nAnswer: 172023\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3172*z + 1626*z + 1553*z + 79 - 3*z**2 + (-5 + 4 + 0)*(-3 + 3 + 2*z**2) to the form i*z + t*z**2 + j and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*p**5 + 76 - 76 - p**5 + 5*p**5 - p**5 + (13 + 5*p**4 - 13)*(p - 2 + 2) + (-6*p**2 + 4*p**5 + 6*p**2)*(-1 + 0 - 1).\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 181\/813 or 1342?\nAnswer: 1342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.98 - -0.02. What is the third smallest value in l, 0, -1\/6, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9316 + 9315. Which is the nearest to 18? (a) 6\/7 (b) 2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 9*r**3 + 2481*r**4 - 2481*r**4 + (2*r**2 - 5*r**2 + 6*r**2)*(1 + r**3 - 1) - r + r**5 + r - r**5 + 4*r**5 - 2*r**5.\nAnswer: 7*r**5 - 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**4*j**4)**(-2\/69)*(j\/(j*j**(4\/5)*j))\/(j\/(j**(-1\/2)*j)*j)*(j**(1\/2)\/j)\/((j\/(j*(j*j*j*j\/(j**(-2\/7)*j))\/j))\/j) assuming j is positive.\nAnswer: j**(-624\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(108))*1 - (sqrt(108) + -4 + sqrt(108)*1 + sqrt(108)))**2.\nAnswer: -144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -55 (b) 1\/9 (c) -2179 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -4.7. Let w = 245.9 + -246. Which is the nearest to w? (a) j (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 697*c**2 - 1364*c + 18073. What is u(-695)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4720 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 396*j + 4012. Determine s(-10).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*q + 36 = m, 0 = 3*q. Is (-7 - 2)\/((-9)\/m) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153891*q**2*u**2 + 9*q*u**2 - 43*q*u - 11*q - 2*u**2 wrt q.\nAnswer: -307782*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = 5*r, 3*r + 18 = -v - v. Let g be 143\/39 - (-5)\/v. Differentiate -31*o**2 + 17*o**g + 10*o**2 - 5 wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8830097 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-149)\/1 + 2). Let g = s - 1011\/7. Which is the closest to -2? (a) g (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 327 divided by -1\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.38 - -0.18. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380302 and 1768.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*a + 3*r, 2*a - 16 = -2*r - 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*y + 295*y - 153 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1351, 6220, 14335, 25696, 40303, 58156?\nAnswer: 79255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1000000111011?\nAnswer: 1000000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488001 smaller than 1487998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 16 - -13)*3\/(-1) - (-122)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/325)\/((-15)\/(-10))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*(r\/(r**(2\/9)*r))\/r)*r**2*r*r*r*r**4*r*r**(5\/4)*r assuming r is positive.\nAnswer: r**(485\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -5, -0.2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 75*o**3 - 4*o**2 - o + 1. Let s(g) = -g**3 - 2*g**2 + g. Determine -2*s(d) + w(d).\nAnswer: 77*d**3 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53166722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - -5. Calculate the remainder when 49 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2382 divide 27364416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 10 = -o, -2*y + 5 = 4*o - o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*s - 1 = -241*s. Let w be ((-20)\/(-16) + s)*-3. Which is the nearest to -1\/2? (a) 1 (b) -0.002 (c) w (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u*u**0*u)\/u)\/u*u*u\/(u\/(u\/u**5)*u)*u)\/(u\/(u*u**(-3))*u*u**(2\/19)\/u)*u\/u**3*u**(-1\/4)*(u*u**(-1))**38 assuming u is positive.\nAnswer: u**(-483\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*v = -2*v - 116, 2*y = -3*v + 28. Solve -k + 6*k - 25 = 2*x, 0 = 4*k - 5*x - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 74 = 2*k, -5*k - 85 = -4*j + 4. Solve -3*c - j = 3*t - 1, 5*t + 3*c + 23 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -3 - (-8 - -1). What is the nearest to 0.2 in y, -5, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193564, -387106, -580648, -774190, -967732, -1161274?\nAnswer: -1354816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357133188 to the power of 1\/3, to the nearest integer?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -92297.149 to the nearest ten.\nAnswer: -92300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 + d + 1. Let t(q) = -q**2 - q + 1. Let w = -2 + 3. Let p be (-4)\/(-4) + -3*w + 1. Determine p*a(f) - t(f).\nAnswer: -f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*n = 3, 3*n - 13 = -5*w + 32 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + c**2 + 8*c - 7. What is k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52206 by -8701.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 159 - 135 = 0, o = -n - 33. Put 5, -4, o in ascending order.\nAnswer: o, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 5*u**4\/24 + 16*u**3\/3 + 45*u**2. Let o be p(-6). Solve -2*b + o = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 22 (c) 3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(15*f - 67*f - 8*f)*(3 + 0 - 5)*(-f**2 - 3*f**2 + 3*f**2).\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*i**5 + 2817*i - 4*i**5 - 2827*i - 114*i**5 - 4 wrt i.\nAnswer: -2840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.067593 centuries to decades.\nAnswer: 0.67593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(217\/(-35) - -7). Solve -4*j = 3*g + j + 1, -o*j + 2 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**5\/2 + 21*o**4\/2 - 39*o**3\/2 - 129*o**2\/2 - 36*o = 0.\nAnswer: -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*t - 6, -2*s - s - 33 = -5*t. Is s\/(-8) - (-16247)\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**2 + 1. Let n be o(1). Let m be (0 + 0)*1 - -5. Suppose -14 = -2*r - m*y, 2*r - 2 = -0*y - 2*y. What is the third smallest value in 4, r, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = 5*r, -4*f + 0*r - 2*r = 12. What is the nearest to -1\/3 in -0.01, -3, f?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370623615 divided by 74124723.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popopgkogogpogog. Give prob of picking 1 p and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -79\/12 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3206230 and 19590.\nAnswer: 9618690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000036767 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -141342545 - -4?\nAnswer: -141342541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6)\/((1\/3)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 475 divide 90725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/33*4)\/((-76)\/(-285))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9)\/u*u\/u**(-2)*u**(-11\/2)\/u**(6\/5))**9 assuming u is positive.\nAnswer: u**(-1233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + 116 - (105 - 17)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b + 3. Suppose 5*j - 3*i - 11 = -i, -2*j + 17 = -5*i. Let u be 3*(16\/20 - j\/(-5)). Calculate d(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 1. Let i be g(-1). Let h be 4\/i*2\/4. Sort -4, -5, h in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15007\/63 - 238. Let p = 4069\/126 + u. What is the common denominator of p and (-46)\/(-40) - (14 + 8 + -23)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-6 + -6 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1289228 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 32*p - 9. What is the tens digit of v(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 14*w - 11. Let n be 628\/3 + 8\/12. Calculate the remainder when g(-18) is divided by 5\/2*n\/25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-35))\/(2\/5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + 391*(-18)\/(-306)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, h: 5}. What is prob of picking 1 a and 1 h?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -10 - 20. Let b(h) = h. Calculate b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 5:59 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, 352, -2, 7 in increasing order.\nAnswer: -3, -2, 4, 5, 7, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*g + 164 = 0. Let c = -37 - g. What is the third smallest value in -0.1, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 13) in base 7?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.079, 5, -143, 2\/9, 3.18, -3, -1?\nAnswer: 3.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.2 + -34. Let f = 6.8 + t. Which is the nearest to -2? (a) 0 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) - 12\/48. Suppose 10 = c - v*c. Suppose -q + 19 = -4*p, 3*q + 18 = -5*p - c. Let f(k) = k**2 + 6*k. Determine f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + q**2 + q - 5*q**2 - 2 + 5*q**2. Let z be a(3). Let f(n) = -4 + z - 7*n + 12*n. Let d(m) = -2*m. What is d(f(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Suppose -l - 2*w = 8, -6*l = -5*l - 2*w. What are the prime factors of (6\/l)\/(d\/(-72))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37467?\nAnswer: 3, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3228 - 1122 = 3*z. Calculate the highest common divisor of 78 and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8695\/(-399970))\/(19\/23)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -22. Let k(t) = t**3 + 7 + 6*t**3 - 6 - 2*t**3 - t. Calculate the remainder when w is divided by k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g**3 - 11*g**2 + 11*g - 1. Let h(l) = 4*l**3 - 3*l**2 + 3*l. Suppose 5*n = 25, -3*o + 2*n - 7 = -15. Determine o*z(m) - 22*h(m).\nAnswer: 2*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 474241 - -316?\nAnswer: 474557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-9) - 7\/((-315)\/(-10)). Suppose -14 = -3*r - i + a*i, 5*r - 30 = 3*i. Suppose 0 = -r*q - 96 + 360. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*(-1 + 1 - -1). Let h = 14 - w. Solve -2*z - 4 - h = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 12) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 2*h, 2*f + 11 = 4*f + h. Suppose -c - 17 = f*q, -3*c + 0*c - 12 = -q. Suppose 5*m = m - 20. Put 0, m, q in descending order.\nAnswer: 0, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 3*z + 6, 38 = -2*j - z. Let q be (-6)\/8 + (-135)\/j. Let u be q*(-2 + (-33)\/(-6)). Calculate the highest common divisor of 63 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2. Let m(d) = -d**2 + 7*d + 11. Let n be m(8). Suppose -15 = -2*j - n*j. Let y(q) = j*q - q - q. Calculate y(h(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 + l**2 + 2*l**2)*((-3 + 4 - 4)*(3*l - l - 4*l) + 5 - 5 - 3*l) as a*l + w + m*l**3 + p*l**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136 + -136.107. Let j = -26.493 + t. Round j to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*p = -24*p - 1092 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-164) + (-734)\/(-82).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 16*z + 182 = 0. Let t = z + 30. Let b be 8\/(-32)*4\/3. Sort 1\/4, b, 0, t in decreasing order.\nAnswer: t, 1\/4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 2*m**2 - 2*m - 2. Suppose 0 = 2*i + 2 + 6. Let h = 5 + -3. Let o(c) = -4*c**2 + 2*c**2 + c**h - 4*c - 1 + 3*c. Calculate i*o(z) + 2*a(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45783630 to the power of 1\/2, to the nearest integer?\nAnswer: 6766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35969553779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + (2 - 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 4. Let x be a(2). Let z = x - -1. Suppose z*v - 20 = -14. What is the greatest common divisor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 716588\/2745 + -2350\/9. Find the common denominator of 63\/122 and q.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1834232269 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20.8 - 0.2.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**4\/24 - 5*k**3\/6 + 10*k**2 + 1. Let d(a) = -2*a**2. Determine l(d(v)).\nAnswer: -2*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 1. Let b be u(-3). Suppose -b*z + r + 73 = 0, -2*r - 1 - 5 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/15 - 34*i**2\/5 - 278*i\/3 - 1102\/5 = 0. What is i?\nAnswer: -29, -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*s - 5. Let p = 3.4 - 3. What is the third biggest value in 5, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6. Let u(x) = -375 - 379 + 752. Let j(o) = -o + 1. Determine c*j(k) + u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1591185388 take away -7?\nAnswer: -6.1591185388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3 and -33\/8174504.\nAnswer: 24523512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 347*u + 148*u + 207*u + 336*u**3 - 7*u**2.\nAnswer: 336*u**3 + 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 55*i + 14. Is 26 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -2*x**7\/105 + 16*x**6\/75 - 24*x**5\/25 + 32*x**4\/15 - 32*x**3\/15 - 35*x. Factor j(b).\nAnswer: -4*b*(b - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 34 - 7 = i, 5*p + 10 = 0. Let j(m) = -m**2 - 1. Let y(a) = 8*a**2 + 2*a - 2. Calculate i*j(h) - y(h).\nAnswer: -9*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 145732858237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1660*l - 4811*l = 110285 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-9 + 5 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179\/75 + -18\/25. Sort 5, g, -1.\nAnswer: -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 10*m + 107 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.47264 and 1.7.\nAnswer: -0.803488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -21*y**3 - 3*y**2 + y + 3. Does 28 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 g when three letters picked without replacement from {e: 2, z: 3, s: 1, g: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 10*s + 5. Let x be q(10). Suppose -4*v + 77 - 18 = -x*z, 4*v - 62 = 2*z. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3 - 1398223971942\/(-773867160). Let x = -7257594\/4015 + p. Let l = -6\/2677 - x. Find the common denominator of -53\/26 and l.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 5*c = 10*d - 1100, 3*d - 830 = 5*c. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 2*b**2 - 10*b**2)*(-5 + 5 + 2*b)*(-3 + 1 + 4)*(4 - 3 - 3).\nAnswer: 88*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 12*q**2 - 10*q + 18. Let b be s(-16). Suppose 10766 = 20*r - 25894. Let l = r - b. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 6*c - 3. Calculate j(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31853, -127507, -286929, -510119?\nAnswer: -797077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 730.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10775939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 2. Let f be x(-8). Let b(q) = -32*q**2 - 4*q. Let m be b(f). Calculate the remainder when 35 is divided by (1\/(-3))\/(28\/m).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 9:37 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/15)\/((-10)\/(-275)). Suppose -i - 63 = -12*a. Solve 4*p + a = -0*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10687?\nAnswer: 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1279 > -1279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2409 - 89143\/37. Is l smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 5*b - 18. Suppose -2*n - 2 = 0, 2*k + 5*n = 2*n + 1. Suppose k*j = -4*j + 48. What is the remainder when m(j) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215342, -216000, -216656, -217310?\nAnswer: -217962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -6 (b) -1\/8 (c) -2248\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81265 - 31043213\/382. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*h**2 - 48*h + 48*h + 0*h**2 + 0*h**2 + 3*h**2 + (h**2 + 4*h**2 - 3*h**2)*(2 - 3 + 6) to the form y + a*h + f*h**2 and give f.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12440982 and -0.3.\nAnswer: -3732294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/135408 and 62\/429.\nAnswer: 1489488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -852, -791, -698, -567, -392, -167?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 10:42 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9233.\nAnswer: 7, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -752 (b) -26 (c) 359\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**4 - 6*g**3 - 7873*g**2 - 204073*g wrt g.\nAnswer: -24*g**2 - 36*g - 15746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 521, 783, 1047, 1313, 1581?\nAnswer: 1851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45947106 and 5922?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384415525 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127.98 - -112.98. Which is the closest to 2\/41? (a) -2 (b) x (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -170. Let v = 87 - h. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.0883 rounded to zero dps?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5164.8484 + -5167. Round r to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*b*d*s - 2*b*d + 2*b*s - 201*b + 22000*d*s - 2*d - 1 wrt b.\nAnswer: -90*d*s - 2*d + 2*s - 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2. Let r(w) = -2*w - 1. Let d(n) = 2*n + 2. Let f(t) = -d(t) - 2*r(t). Give f(z(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 8*o**2 - 9*o + 11. Is q(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49065 rounded to two decimal places?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 = -2. Suppose 3*u + 6 = 3*m, 8 = 2*u + f*m - 8. Suppose -4*p + 9*p = w + 6, 0 = 5*w + u*p - 54. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12578505 times -0.4?\nAnswer: -0.05031402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984462.\nAnswer: 2, 992231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1255056, -2510111, -3765166, -5020221, -6275276?\nAnswer: -7530331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 0, 5*t - 4*p + 9*p = 190. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24570 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134\/3 - -45. Let l = 1094 - 1074. Which is the third biggest value? (a) l (b) -3 (c) -4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*d - 106*d**2 + 8*d.\nAnswer: -106*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25621776 is divided by 14001.\nAnswer: 13947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.7 - 19.1. Which is the third smallest value? (a) y (b) 0.17 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/2)\/(-2)*18. Let x be w\/(-24) - 2\/(-8). Is ((-24)\/72)\/(x\/(-8859)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21397828 divided by -10698914.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - -145?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78.8 - -79. Which is the smallest value? (a) -5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 405*t**3 - 131040*t**2 - 58300*t - 6480 = 0.\nAnswer: -2\/9, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.025 - 49.975. Let s = k + 49.6. Let a(i) = -i**2 - 4*i + 7. Let o be a(-5). Sort s, o, -0.03 in increasing order.\nAnswer: s, -0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 69\/(-230)*4\/(-3). Which is the nearest to n? (a) -2\/5 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*s - 31. Calculate the remainder when s is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4935, 9752, 14447, 19020, 23471, 27800?\nAnswer: 32007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 220*w - 54. Let j be f(23). Suppose 4*y - 7500 - 2512 = 4*c, j = 2*y + 2*c. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3479551*7.\nAnswer: 24356857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, -269 in decreasing order.\nAnswer: 4, 3, 2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*738\nAnswer: 2214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1593\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(-1*sqrt(392) + sqrt(392))**2 + 5 + (sqrt(392)*1)**2.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 205145032 to the power of 1\/2, to the nearest integer?\nAnswer: 14323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1304704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 408275 divided by -115?\nAnswer: -81655\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1 + (186 - -16). Let a = 263 - t. Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*d)*(13*d**3 + 3*d**3 - 6*d**3) + (2*d**2 + 0*d**2 + 0*d**2)*(9*d**2 - 6*d**2 + 2*d**2).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-12)\/16)\/(10\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 5075176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3595.529 weeks?\nAnswer: 2174575939200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4338772 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-4)\/64*-1)\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5 + 3544*i**4\/3 - 152240*i**3 + 1874452*i**2 - 3396298*i\/3 - 591292 = 0. Calculate i.\nAnswer: -1\/3, 1, 13, 166, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 101*j**5\/5 + 131*j**3\/3 - 453*j. What is the second derivative of a(b) wrt b?\nAnswer: 2424*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g - 6. Let k(b) be the third derivative of b**3\/6 - 11*b**2. Give a(j) + 6*k(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-542)\/2168)\/(1\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/20)\/(60\/25). Suppose -58*y - 27 = -67*y. Which is the closest to 1\/4? (a) p (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0188826927 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253809 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1e7e (base 16) to base 6\nAnswer: 100050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, a: 1, j: 2}. What is prob of sequence aja?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 2*q + 2*q)*(513*q - 37*q + 61*q + (-2 - 2 + 5)*(2*q + 4 - 4) + 0*q - 2*q + 4*q - 4*q + q + 2*q).\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 4. Let m be p(12). Let j be ((-3)\/22)\/(39\/m). Which is the biggest value? (a) 2\/5 (b) 0 (c) -0.1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 5:29 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a + 3 = -109*a + 59*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 277165?\nAnswer: 277185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 7*b**2 - 6*b + 4. Let c = 15 + -9. What is the units digit of l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k - 6*k + 15*k + 15 - 15. Let g(p) = -p + 5. Let w be g(4). Let f(q) = 1 - w + 2*q**2. Determine f(u(i)).\nAnswer: 450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15016562 and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 2*v + v + 2095 = 2072, h = 4*v + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*n**3 + 25 - 18*n**3 - 1 + 16 wrt n?\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21441651731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -23307 (base 10) to base 15\nAnswer: -6d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392132 is divided by 57.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3706 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 9 = -3*d - 4, -5*t = -2*d - 25 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1214*z + 6158. Give i(5).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 24f?\nAnswer: -24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-2)\/(-1))*(-86)\/(-2). Let l = z + -41. Solve l*u - 23 = -5*r, 0 = 5*r - u - 2 - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9570.344 nanograms?\nAnswer: 0.000000009570344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 78*q - 132. Give y(-77).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.9414257 + 15918045.0585743. Let u = 15918003.000078 - b. Let a = u - -46. What is a rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890174.\nAnswer: 2, 3, 11, 13, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.69786 take away 2.6?\nAnswer: -1.90214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/16)\/(2\/6). Let l be (-1)\/5*-3 - 0. Let g = 2.5 - 2. Which is the smallest value? (a) y (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 4*n + 0*n - 2*n.\nAnswer: 2*n + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, -62, 8, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/11 + 21254206*c\/11 - 170033520\/11 = 0. Calculate c.\nAnswer: 8, 10627095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*c**2 + 88*c**2 - c**3 + 0*c**3 as t*c + d*c**2 + j + b*c**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 13. Let y be x(10). Let l = y + 2. Let s be 52 + (1 + -1 - l). Round s to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**2 - 1365*i + 10735. Let y be p(8). Let w(x) = 6*x**3 + 2*x**2. Let b(o) = 11*o**3 + 4*o**2 - 2*o + o + 0*o. What is y*w(l) - 4*b(l)?\nAnswer: -2*l**3 - 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.6 - 97.3. Let w = 157.8951995386 + 0.0047065614. Let z = g + w. Round z to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 8*j + 75 = 0. Let q(h) = 3*h**3 + 5*h**2 - h. Let o(r) = -3*r**3 - 6*r**2 + r. What is j*o(y) + 6*q(y)?\nAnswer: 3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1175 - 158. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziiz when four letters picked without replacement from {i: 8, o: 4, l: 2, z: 3}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Suppose -4*n + 7 - l = 0. Suppose 5*v + 5 = 2*c + c, v - 5*c + 23 = 0. Solve v*u = -3*m + 9, -2*u + 4 + n = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -3, -23\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 159530 and 693?\nAnswer: 15793470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/1440 and 103\/720.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u - 2*p + 896 = 0, -1218*p = -u - 1217*p + 25 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most as big as 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 7. Suppose -4*l = l - t. Is 2 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1173*a + 3351. What are the prime factors of m(-11)?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -20*z + 23*z - 78099, -22*z = -5*i + 97495. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7 - (-10)\/2)\/((-4)\/158). Let w = q - 59. Suppose 2*x - 51 = -3*h, 3*x + h - 28 = 38. Which is bigger: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*t = 38, 26 = 5*z + 2*t - 69. Solve 4*w + 21 + 11 = -3*j, 5*w + z = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35881 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-18)*-3*7\/(-273). What is the nearest to 0.2 in w, 0.5, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*u - 59*u - 2603 + 177 as g*u + y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -77, -95, -131, -191, -281, -407?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2. Let q(z) = -12*z + 6. Let y(u) = 5*u - 3. Let g(t) = 2*q(t) + 5*y(t). What is -4*g(k) + 6*m(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12281019 - -20461019. Round n to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 55.73. Let t = -143 - -144. Which is the third smallest value? (a) g (b) t (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 527*f**2 + 4386*f - 56734. Determine j(535).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70.49 + -70. Let h = -2.79 + s. Let f = h + 2.3. Which is the second biggest value? (a) -2\/5 (b) f (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*164\nAnswer: 44.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1*3*(-2)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8509870 + 8509647.997656. Let b = x - -222. What is b rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 + 2*p - 2*p**3 + p**3. Let v(r) = 6*r**3 - 3*r. Suppose 3 = q - 5. Let z(c) = q*w(c) + 5*v(c). Find the second derivative of z(l) wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -31986.\nAnswer: 31986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2344 from 579.7.\nAnswer: -1764.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*g**2 + 516*g**2 - 39*g**2 as p*g + v + i*g**2 and give i.\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -a. Let w(q) = -2*q**3 + 8*q**2 + 10*q + 14. Calculate the least common multiple of w(5) and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -10 - (13 - (15 + 1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010000111000000011 (base 2) to base 6\nAnswer: -11033351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 187 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**3 - 197*q**2\/2 + 232*q - 3. Calculate b(-30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-3\/5))\/j*j*j*j**(2\/7))\/(j**(2\/11)*j**(-6\/5)))\/((j*((j*(j\/(j**(1\/4)*j))\/j)\/j)\/j*j*j)\/((j**(1\/6)*j)\/j*j))**(-21) assuming j is positive.\nAnswer: j**(-9311\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3\/4)*i**(4\/5))**(5\/13) assuming i is positive.\nAnswer: i**(21\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1054519315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -518\/51 + -20\/17. Let w be (-114)\/9 - 58\/(-87). Which is smaller: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.8, -2, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 125 = 3*j, -j + 0*l = 3*l - 50. Let y be 57\/(-15) + 3\/(-15). Let n be y\/6 + 22\/6. Solve 3*b = -n*q - 7 - 17, -4*b = 5*q + j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -19*b**6\/120 + b**5\/20 - b**3\/2 + 5*b**2 - 24*b. Let x(d) = -37*d**3 + 7*d**2 - 7. What is 7*n(i) - 3*x(i)?\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = -7. Let p = c + 9. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from llwlwwwwlwlwwwwlww?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6 = -9. Let s be -3 - ((m - -7) + -2). Let d(b) = b**2 + 3*b + 5. Let n(a) = 1 + 2*a - 1 + 3 + a**2. Give s*n(g) + 3*d(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**3 + 147538*f**2 - 5445109745*f + 239299280396 = 0. Calculate f.\nAnswer: 44, 73747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343821, -687640, -1031459, -1375278, -1719097?\nAnswer: -2062916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 424661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37431 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 15) to base 16\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1501364.00092 - 1501423. Let c = 60.01 - 1.01. Let g = c + k. What is g rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4171.252 hours to seconds.\nAnswer: 15016507.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 53 (b) 2\/389 (c) -10 (d) -2\/23 (e) 0.4 (f) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 101 = -5*j, 46*j = -2*x + 50*j + 100. Calculate the remainder when 59 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7*k + 0*k - 5*k + k + 3. Let j(f) = 5*f + 5. What is 7*c(g) - 4*j(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*n - 4*x = -140*n + 2, -7*n + 4*x - 23 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 9143*o - 4554*o - 2 - 4577*o + 7*o**2 - 11 - o**3. What is m(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**3 + 7*l - 8*l - 3*l**3 + 2*l**2. Let n be x(1). What is the first derivative of h**n + 5 + 5*h**2 + 2*h - 2*h wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3048652.\nAnswer: 2, 37, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - 4\/14. Let s be (-1 - -3)*(-6 + 15\/2). Solve b = s*f - 0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from gwwqwqqqwwwwq?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 12*r - 108. Let m be d(-7). Suppose -m*l - 4*y - 1461 = -30*l, y - 1 = 0. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3 - 2811*w**2 + 60744*w + 373620 = 0.\nAnswer: -958, -5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g - 2*g + 0*g + g + 3*g - 3*g + 1 - 1 - g + g + g - g + (3 - 3 - 2)*(-3*g + 2*g + 2*g) + (1 - 4 + 1)*(g - g + 2*g) - g + 4 - 4 + 3*g + 3*g - 5*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22708 plus -39575667.5?\nAnswer: -39598375.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 562176 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*c = 4 + 7, 2*z = 3*c - 1. Suppose 0 = z*m - 14 - 14. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203613 is divided by 40663?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.016?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + r**2 + r. Let m = -710 + 712. Let k(a) = -5*a**3 + 2*a**2 + 4*a + 1. Give m*c(y) - k(y).\nAnswer: 3*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 17*f**4 - 12*f**3 + f**2 + 8*f - 279. Let u(m) = -m**3 - 2*m. Let j(a) = 5*u(a) + w(a). What is the third derivative of j(v) wrt v?\nAnswer: 408*v - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v. Let d(h) = 5*h - 4*h - 2*h - h. Determine d(o(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 5*i - 2*p + 3*p, 5*p - 53 = -3*i. Suppose 5*w - 33 = -2*d, 20 = 2*w + 2*w. Suppose -d*n = t - 6 - i, 22 = 4*n + 2*t. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 r when three letters picked without replacement from rrrrllwlr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40.6 + -41. Let x = 1.3 + -1.2. Sort s, x, -0.1, -1.\nAnswer: -1, s, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2*(-1)\/(-3)). Suppose 3*p - 3 - 18 = 0. Suppose -x = -p*x + 594. Calculate the greatest common divisor of x and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 6*p**2 - 3*p**4 + p**4 - 3*p**4 + 4*p**4 + (0*p**3 - 5*p**3 + 4*p**3)*(1 - 2*p - 1) + p**4 - 1 + 1)*(2 - 12*p - 2).\nAnswer: -24*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -282.702 - -283. Let h = f + -0.2979366. Round h to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c**(-2)\/c)\/c))\/c**(-9))**16 assuming c is positive.\nAnswer: c**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 1767?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**4 + 5*a**2 - 14*a + 5. Let c(x) = -x**4 - 2*x**2 + 7*x - 2. Let y(i) = 5*c(i) + 2*k(i). What is the second derivative of y(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -10*d**3 - 14*d**2 - 14*d. Let b(y) = y**3 - y**2 - y. Determine 56*b(l) - 4*v(l).\nAnswer: 96*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 1265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (sqrt(720) + sqrt(720) + -1 + 5 - sqrt(720)))*3 + (2*sqrt(720)*4 - sqrt(720)) + sqrt(720) + -5 + 5)**2.\nAnswer: -2304*sqrt(5) + 46224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {o: 1, v: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 9. Solve 0 = -i*k + 4*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 320 + -120?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 1, v: 1}. Give prob of sequence vd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 462*h + 201*h + 112*h.\nAnswer: 775*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-143)*(-19789)\/10794.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -43.71465944 rounded to 1 dp?\nAnswer: -43.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3599 greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Suppose 3*l - l - 4 = x. Let m(k) = 5*k + 0*k - 2*k - l*k. Let y(r) = 4*r**2. Calculate y(m(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -q - 5*w, 3*q - 2*w = 2*w + 29. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 3\/2 (c) -2\/23 (d) -2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3721, 14874, 33453, 59452, 92865, 133686?\n\"Answer: -f**3 + 3719*f**2 + 3*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.168 less than 147.6?\nAnswer: 147.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4138 = 240*g + 15*g + 823 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -36*n**3 - n - 1. Let o be -2*((-9)\/(-6) + -2). Suppose 0*d = d + o. Does 10 divide i(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighty-seven fifths of a microsecond?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/6*(272\/(-119) - -2)*(6 - 32)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 138*r**3 + 7*r**2 - 88*r + 8. Let k(u) = 133*u**3 + 9*u**2 - 88*u + 9. Let m(x) = -7*f(x) + 6*k(x). What is the second derivative of m(g) wrt g?\nAnswer: -1008*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let b be (-2 - 18\/(-10))\/((-6)\/(-6)). What is the biggest value in -3\/7, b, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11500 and 15700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 34 - 10 = 0. Solve -3 = -2*c + u, i*u - 8 - 4 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 - -26?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -64*q**3 - q. Let v(g) = g**3 - g. Calculate -t(f) + v(f).\nAnswer: 65*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 - -237. Let y = -174 + 318. What is the highest common factor of f and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125377097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 20*a**2 - 74*a + 45. Give f(-15).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y + 69*y + 600 = 0. Suppose -26*k = -31*k + y. Solve -k - 13*d + 5*d**2 - 10*d**2 + 48*d = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -1\/4 (c) 1 (d) 2 (e) 15 (f) -1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11110011010010001010 (base 2) to base 5\nAnswer: -223341430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -3199, -7412, -13339, -20980?\nAnswer: -30335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 215 - 203 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -15200, 2, -2, -5, -8 in ascending order.\nAnswer: -15200, -8, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 238, 1214, 2894, 5320, 8534?\n\"Answer: 7*a**3 + 310*a**2 - 3*a - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356437 and 22329?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-348)\/(-300)*5 + (-4)\/(-20) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-18) - 1526160\/(-108) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596693203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/20)\/(63*32\/20160)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31417, -125731, -282985, -503227, -786505, -1132867, -1542361, -2015035?\nAnswer: -2550937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10341 (base 5) to base 13\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/50 + (-232)\/(-40). Solve -h*w = q - 13, 0 = -4*q - 2*w + 270 - 258 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7207, 14412, 21617, 28822, 36027?\nAnswer: 43232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2688771, 2688769, 2688767?\n\"Answer: -2*z + 2688773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1072\/(-4) + 2)*(-12)\/14. Suppose 2 = 3*u - o - m, 3*u = -2*o + 233. What are the prime factors of u?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 0*j - 26\/3*j**3 + 10*j**2 + 0 + 1\/8*j**4. Let o be s(18). Solve o*n + l - 17 = 5*n, 0 = n + 3*l - 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85785143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/18)\/(4 - 2). Suppose 5*u - 3*u + 6 = 0. What is the closest to -1.2 in u, 2\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/7 - 36*f**2\/7 - 157*f\/7 - 120\/7 = 0. What is f?\nAnswer: -3, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1092264 and 39192.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 6*a**2 - 2*a + 4. Let s be c(-6). Let i = s + -6. Find the common denominator of (-171*(-1)\/i)\/(-3) and 109\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44629 * -0.09\nAnswer: -4016.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 23 - 9 + t - 6 - 7. Let j(f) = 7*f + 4. Calculate j(h) - 6*z(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) - 245\/(-9). Suppose 4*s + 5*w + 12 = 0, -4*s + 28 = -7*w + 2*w. Let p = 8 - s. Solve -t + p = -3*t, 4*t = -5*x - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -45. Let a = c - 2. What is the second derivative of -1 + 26*t - 38*t - a*t**4 + 1 wrt t?\nAnswer: -192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1539 + 1841 - 4927 + 1547 - 21*y.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 527.5331 minutes?\nAnswer: 31651986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5197778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124878 or -124870?\nAnswer: -124878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 - 6*h**2 + 17*h**2)*(0 - 4 - 1)*(0 - 2*h + 0).\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 9*x**2 - 2*x + 3. What is g(4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53927 + 20949 - 10762 - 60627 = -1831*y for y.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -451 or -453?\nAnswer: -453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*g - 3*i, -145*g - 4*i = -140*g - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45335 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 7*p**6\/15 - 19*p**5\/10 + 4*p**4\/3 + 4*p**3\/3 - 28*p + 9. Let d(y) be the first derivative of w(y). Factor d(x).\nAnswer: 2*x*(x - 2)*(x - 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38829 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 less than -2931077.97?\nAnswer: -2930802.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 26.41. Let f = z - 0.31. Is 2\/5 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3))**(7\/4) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w = p + 39, 19 = -w - 3*p. Let r = 1 - 3. What is the nearest to w in -3\/7, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 8*b + k = -22, -4*k = -b + 11. Suppose -b*u = -8*u. Let j(r) = -r**2 + r + 15. What is j(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/21 and -67\/67284.\nAnswer: 67284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7060 from -0.84.\nAnswer: 7059.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -238 - -107 - -307 - 79\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = 2*b. Suppose 11*x = 16*x - 53*x - 144. Is b != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19702*-0.16.\nAnswer: 3152.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 171753971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b + 15 - 15 = 0. Solve -1\/3*i - 5\/6*i**2 - 2\/3*i**3 - 1\/6*i**4 + b = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 + 66880\/616 - 698\/(-1694)\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 0)*1.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 67*s**4\/24 + 60*s**2. Let a(r) = r. What is a(b(h))?\nAnswer: 67*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 - 76*v - 5. Let s be k(-15). Solve 3*b = 5 + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*u**5 + 26*u**3 - 3377*u**2?\nAnswer: 960*u**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 3786*p - 293956\/3.\nAnswer: -2*(p - 5653)*(p - 26)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -2690.92.\nAnswer: -2704.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m = 6*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11399, -19390, -27381?\nAnswer: -35372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2618\/35*(-1210)\/11. Is -8229 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (1 - (-11 + 7)) + 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 28164 and 8792 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4600000*s. Let h be j(-8). What is h rounded to the nearest one million?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -2ef?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 416 and (-2)\/((2709\/448 + -6)*(-10)\/15)?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48289 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 114*a**2 - 1377*a - 9. Give b(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1173 = -21*w + 81. Sort -1, w, -5.\nAnswer: w, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 0*b)*((2 - 5 - 1)*(1 - 1 + 2) + 3 + 1 - 3 - 1 + 0 - 1) + (-8*b + 3*b + 2*b)*(4 - 5 + 3).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/10 - 191*i**5\/30 - 376*i**4\/3 + 256*i**3\/3 + 970*i**2 - i. Suppose j(d) = 0. Calculate d.\nAnswer: -16, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 5) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.024*-2\nAnswer: 0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 = 15. Let d = -5 + 5.5. What is the closest to 2\/7 in d, i, -2\/19?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -4. What is the remainder when r is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 5*r + 2, 3*r = -285*q + 288*q + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -252574, 2\/7, 4.01?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48515 or 48534?\nAnswer: 48534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/5 - 46*v**2\/5 + 93*v\/5 - 26\/5.\nAnswer: (v - 13)*(v - 2)*(3*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/108 and 85\/4224.\nAnswer: 38016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -28. Suppose 3*k = c*s - 21, 2*s - 4*k - 24 + 2 = 0. Solve -r = s*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(80) - (sqrt(80) + 0))**2*6*-6*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5435 = 198*j + 2267 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(((-50)\/36)\/5)\/(47295\/(-1051)).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -87 + w + 0*w + 3*w**2 + 86 - 4*w**2 + 2*w**2. Give c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 27. Let t = -50 + n. Let g = 37 + t. Put g, 1, -2\/9 in descending order.\nAnswer: g, 1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/5922)\/(15\/(-705)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242437919 and 1194?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5663 = -j, j - 685 = -4*n + 4996. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.0705 + 2.9705. What is the nearest to -4 in 0.5, q, 0.0231?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(1 + 10\/3). What is the least common multiple of 88 and ((-364)\/j)\/((-4)\/10)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -7713, -2, 13.\nAnswer: -7713, -2, 1, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -428137?\nAnswer: -428138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 176 - -2?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71\/4 in -136\/7, -4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258927916?\nAnswer: 2, 13, 383, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-1 + -2)\/(-1). Put 0, q, -1 in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404505, 404439, 404307, 404091, 403773, 403335, 402759, 402027?\nAnswer: 401121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4 + v - 4 - 4 - 3. Let q be j(10). Suppose 0 = 6*d - q*d - 90. What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4 - 894*a**3 - 12214*a**2 - 38970*a = 0.\nAnswer: -433, -9, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -665 - -664.063. Let b = -564.937 - p. Let x = b + 564.000317. Round x to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1250 + -820. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 38*m - 9. Suppose 0 = 14*f + 7924 - 7658. What is b(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1031, 4121, 9273, 16487, 25763, 37101?\nAnswer: 50501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -33, 8, -0.3, 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, 2, -4, -3\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -13 + 27 - -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 - 23?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 14*s + 38. Let b be m(-14). Suppose -g = -b + 37. Suppose 2*l - 8 = 0, -g = 3*j - 5*l - 8. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let q = n + 3. Sort -4, 0, q in descending order.\nAnswer: q, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -13512\/5*u - 3\/5*u**2 - 15214512\/5 = 0.\nAnswer: -2252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5774.659ms in seconds?\nAnswer: 5.774659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213*s**2 - 578218*s**5 + 9 - 8 + 578224*s**5 - 832*s wrt s?\nAnswer: 120*s**3 + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1484, 5898, 13238, 23492, 36648?\n\"Answer: -2*r**3 + 1475*r**2 + 3*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -4, 0, -5 in ascending order.\nAnswer: -15, -5, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/120 + q**5\/20 + q**4\/8 + 2*q**3\/3 + 2*q**2. What are the prime factors of c(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-8))\/((-6)\/(-8)). Let s be (16\/(-2736)*-19)\/((-3)\/27). Sort -102, h, s.\nAnswer: -102, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 40?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-36)\/(-320)*(-4)\/(-6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-10)\/56) + ((-1350)\/125)\/(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 463876451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 4614*f + 309*f**3 - 2 + 4608*f.\nAnswer: 309*f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 4*p + 1055 = -4187 + 941. Let d(o) = -8*o**3 - 2*o**2 + 4*o + 3. Let x be d(-3). Which is bigger: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, -1, -3, -11\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 11*u - 5. Let c be t(-4). Suppose 5*g + 3*y + 119 = 390, -g - 5*y = -63. Let r = g - c. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 33607*j - 100824. Calculate o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 83. What is the closest to t in 0, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2420 and 419605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x. Let p(v) be the second derivative of 0 - 1\/6*v**4 + 0*v**3 + 2*v**2 + 25*v. Let n(q) be the first derivative of p(q). Calculate u(n(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 8 - 5 + (3 - 3 - 1)*(5 - 4 + 1) - 3 - 1 + 2)*(-2*u - 2*u + 2*u) to v*u + b and give v.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 33 - 0. Let i = l + 14. Calculate the remainder when 17 is divided by ((-15)\/i - 0)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*h**2 - 14*d**2*h - d**2 + 9*d + 2*h wrt h?\nAnswer: -2*d**2*h - 14*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17011 = 1259. Suppose 103*a = 105*a - d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 t, and 2 a when four letters picked without replacement from {t: 1, i: 3, j: 3, a: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*b - 109*b + o + 9 = 0, 3*b + 12*o = -57 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 988 and 17992.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543145 (base 6) in base 14?\nAnswer: 12465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(4\/(-2)) + 189174*98\/56 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111 and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191160420 divided by -6.\nAnswer: -31860070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 51166 - 14140 = -13518. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 70\/15 - (-4)\/(-6). Let f(u) = 14*u + 2. Let x be f(2). Solve -5*j = -v*l - x, 3*j = 5*l - 3*l + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 10:37 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**3 + 6. Let m be 0\/1 + -307 + (-213 - -219). Let y = 307 + m. Let q(d) = -1. Determine y*q(b) + a(b).\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 59742.65 minutes?\nAnswer: 3584559000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 16\/28 - 0\/8. Let t = -3\/13 - 1\/52. Let g = -0.7 - 0.3. Which is the nearest to t? (a) g (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418454821 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 27*b + 8*b - 2279 = -959 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wddw when four letters picked without replacement from wdwdwwww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viswisvsiivzzsisssi. What is prob of sequence sw?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/6493 - -12995\/58437. Factor -50\/9*q**2 - 14\/9*q**4 - o*q**5 - 32\/9*q - 38\/9*q**3 - 8\/9.\nAnswer: -2*(q + 1)**3*(q + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186 + -64 + -107 + 1 + (34 - -1).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 = -y - 3*y, -6 = 2*y. Let a be 14\/2*o\/(-14). Factor 1\/2*w**4 - a*w**3 + 1\/2 - 2*w + 3*w**2.\nAnswer: (w - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 - 94 - (2 + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15735 + 15739. Solve -5*j = -o*j + r + 6, -r = 3*j + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -5*a + 102*o - 97*o, 2*o - 6 - 14 = -2*o for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.3 and -5171480.\nAnswer: -37751804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l + 2. Let z(b) = 4795 + b**2 - 4795. What is z(p(a))?\nAnswer: 196*a**2 + 56*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338 - -344. Calculate the common denominator of ((-14)\/18 - -2)*4 and -67 + 63 + 118\/x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 195*y**2 - 2683*y - 510. What is v(-81)?\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(252)*6 - sqrt(252) - (sqrt(252) + 0 + 2*sqrt(252)))**2 + 3*(((sqrt(1008) - (1 + sqrt(1008))) + -2)**2 - -2*2*sqrt(1008)).\nAnswer: 144*sqrt(7) + 64541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 15*b**2 - 151*b + 11. Determine z(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 0*q + 6\/13*q**2 - 130 + 2\/39*q**3 - 1\/26*q**4. Factor z(h).\nAnswer: -2*h*(h - 3)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f + 10. Is f\/5*19\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17224 or 31?\nAnswer: -17224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 26 = 0. Let a = 16 + n. List the prime factors of -6 + a + 14\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 505 - 38*q**2 - 498 + 1003 + 22*q**2 + 19*q**2.\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2995 - 47?\nAnswer: 2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:08 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/79, -5, -1\/3, 8163?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (8\/(-2) - -2). Solve 2*c - 12 + w = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56179\/106 + -80\/53. Suppose -2*f = 2*f - 2180. Let k = f + a. What is the common denominator of -93\/8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 6013.7, -2, -2\/9, 1\/4, -225?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by -5.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 4\/9, 2.1, -0.4, 2?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-729)\/486*(-294)\/(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(((c\/(c\/((c\/(c*c\/c**(1\/3)))\/c*c))*c)\/c)\/c)))*c*c*c**(-4))**(9\/8)*(c**(1\/2)*c)**(-5\/11)\/(c**(2\/3)*c**(-3\/4)) assuming c is positive.\nAnswer: c**(5\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262040616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**6\/120 - b**4\/48 + b. Factor r(k).\nAnswer: k**2*(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyk when three letters picked without replacement from {k: 2, y: 11, a: 1}?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17786898 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37112693 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from prhprprrprrphrphpp?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25 and 1927290019.12.\nAnswer: 1927290044.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 361311752897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/2)\/((-3)\/(-21)). Let d be (h\/(-14))\/(-2 + 54\/4). Let o(b) = -b**2 - 2*b. Let m be o(-1). Which is greater: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*t**2 + 329*t + 44 - 44 - 329*t.\nAnswer: -115*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r - 5*x - 65 = 0, 4*r - 2*x + 78 = 0. Let m be (-17 - 1) + r\/(-5). Let a(p) = p + 23. Calculate the remainder when 33 is divided by a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 37 + 36 - 58 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 159 = 3*o, 5*n - 7*n = -2*o - 174. What is the least common multiple of n and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 57\/2*p**4 - 22*p**3 + 0*p + p**2 + 271 - 2\/5*p**5. Find the third derivative of s(m) wrt m.\nAnswer: -48*m + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101754 is divided by 101750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49265359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1362.4 times -3\nAnswer: 4087.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -7) + 1 - (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/5 - 8*x**3\/5 - 2*x**2\/5 + 8*x\/5 = 0 for x.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*t + 3*d, -1 = t - 4*d + 1. Suppose -36 + 236 = 2*f - 4*u, -310 = -3*f + 4*u. Calculate the highest common divisor of f and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 94646*y. Let h(j) = -276*j - 4. Determine c(h(k)).\nAnswer: -26122296*k - 378584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m + 6*m = -195. What is the fourth smallest value in -0.5, m, -0.03, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 651*o. Let p(u) = 28*u - 64. Let a(g) = -3*g + 8. Let f(i) = 8*a(i) + p(i). What is y(f(v))?\nAnswer: -16*v**2 - 2604*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - -5) + (5 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/196 (b) 3 (c) -2\/5 (d) -1 (e) 2\/5 (f) -7\/3 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 + 120*s**3 - 772*s**2 - 1920*s - 1024.\nAnswer: -4*(s - 16)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*k + 455*k + 516*k - 1436*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, c: 3, f: 5, a: 10, g: 1}. Give prob of sequence fc.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158.75 + 161. Let r = s - 2.35. Let c = -8291\/245 - -169\/5. Is r > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 3813*h + 16 - 4 + 14 + 3642*h)*(3*h**2 - 4*h**2 + 4*h**2) to b*h + k*h**2 + c*h**3 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28327\/7 - -4047. Let t = 34 - 137\/4. Is w < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/21 - (-7 + (-198)\/(-21)). Let s = 0.031 - 1.431. Let h = -1.9 - s. What is the second biggest value in -5\/4, h, q, -4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s + 19*s + 21*s + (1 - 1 + s)*(-2 - 2 + 7).\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*(7 + 3) - 0. Let s(z) = z**2 + 5*z + 20. Calculate the smallest common multiple of 28 and s(b).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 936 + -604. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - t + t - 2*t)*(13*t**3 + 21*t**3 + 17*t**3).\nAnswer: -51*t**5 - 102*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 - 33 + 108 = -2*x - 20 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) -1 (c) -3 (d) -121.2 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 208537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -11*c**2 - 37*c + 2806. Give j(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16292.877 months?\nAnswer: 1.35773975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 6 (b) 2\/9 (c) 3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/33 in 1726\/5, -5\/2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 20, 3\/215, 0.5, -4, 10, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -799213547*t**2*z - 683091410*t*z wrt t?\nAnswer: -1598427094*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 376\/10 + 8\/20. Let s = r + 47. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-86)\/(-8) - 0) + 6\/(-8). List the prime factors of 2 - ((-8)\/b - (-10)\/(-50)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**2 - 10*d**3 - 123*d**4 + 8*d**3 + 2*d + 0*d - 8 - 11 + 127*d**4 to the form n*d**2 + y*d**3 + b*d**4 + m*d + z and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 11:10 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-36)*l*l*l\/(l\/l**(10\/13)) assuming l is positive.\nAnswer: l**(-432\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 37 = 38. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/3)\/((-12)\/72))\/((-11)\/(1331\/22)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 + 2*q - 2. Let n be m(2). Suppose 5*l = 0, -2*l = 4*t - 7*l - 112. Let g = t - n. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 0, 144, 4, -1 in decreasing order.\nAnswer: 144, 4, 0, -1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5708055*s**2 + 304*s + 5708053*s**2 - 42*s + 1)*(-1 + 0 - 1).\nAnswer: 4*s**2 - 524*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25615088 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*k**2 + 10 + 25 + 4*k + 122*k**2 + 2*k - 2*k wrt k?\nAnswer: 512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*b - 27, 0 = -b + 6*b + 5. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 4) in base 16?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-9)*(-1)\/((-6)\/18). What are the prime factors of (v\/(-10))\/(15\/(-10800))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/4 - 6*s + 36 = 0. Calculate s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/68 - (-80)\/(-510)*(-6)\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-116)\/7*1\/(-2) and -133\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 59 + (-3)\/(-1)*-1. Suppose 0 = -15*a + t + 214. What is the remainder when 73 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 12. Let l(a) = -a**3 + 5*a**2 + 7*a. Let k be l(h). Let c(n) = 5*n**2 + 3*n. Let m be c(-2). Calculate the greatest common divisor of m and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.926037 - 0.00983.\nAnswer: -5.935867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21312 and 864?\nAnswer: 63936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/60 + c**5\/12 + c**4\/6 + c**3\/6 - 140*c**2. What is q(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*o + 125*o - 81 = 0 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*2 - sqrt(70) - sqrt(70))\/sqrt(2))\/(sqrt(252) + (sqrt(252) - (-2*sqrt(252) - sqrt(252))) + sqrt(252)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 2180375331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -669 and -69?\nAnswer: 46161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17829 and 13867?\nAnswer: 124803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236439 is divided by 131.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207 + 207. Solve 5*v = 5*u - g*v + 40, -2*u + 5*v = 31 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.72338 less than 146?\nAnswer: 217.72338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(102) + -4*sqrt(102)) - sqrt(102))\/(sqrt(54)\/(sqrt(9) - -2*sqrt(9))) + 1)**2.\nAnswer: 30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 - 18 = 0. What is the hundreds digit of 0 - (-8)\/(-3)*342\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**(2\/89)*(p**(-2\/3)\/p)**(2\/9))**(2\/27) assuming p is positive.\nAnswer: p**(-20\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.93 - -28.93. Let m = f + -25. Sort m, -0.5, 2\/9 in decreasing order.\nAnswer: m, 2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 + 109 + 1765*i**2.\nAnswer: 1765*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -510 by -102.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 4 - 7 - 12)*(1 - 1 - 4*u**5).\nAnswer: 236*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34901\/12824 - 292\/229. What is the common denominator of l and 1\/2338?\nAnswer: 9352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -18*i**2. Let v(u) = 4*u - 775. Determine v(n(o)).\nAnswer: -72*o**2 - 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2414*h**2 + 1316*h + 1318. Determine b(-1).\nAnswer: 2416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -359024 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((-143)\/(-286))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2 + 2 - 2*m**2. Let w(g) = g - 6*g + 4*g. Give w(u(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.694876 centimeters?\nAnswer: 0.00694876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-16))\/k)\/(((k\/k**(-17))\/k*k)\/k*k) assuming k is positive.\nAnswer: k**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7573.\nAnswer: 7573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = 0, 18*q + 9 = -5*x + 19*q. Let n(s) = -4*s**2 + s. What is n(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*r - 144*r + 19776 = 5*v, -5*v + 5*r = -19770. List the prime factors of v.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2053, 2047, 2041, 2035?\nAnswer: 2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -362.\nAnswer: 5\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49650.298 rounded to the nearest 100?\nAnswer: 49700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 39 + 14 = 0. Suppose -2*k = 4*s - 16, -s = -2*k + 5*k - 9. Which is the second smallest value? (a) 1.3 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32758345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(704) + sqrt(11) - (-2*sqrt(539) + sqrt(539))) + (1*(0 + sqrt(1100)) - (sqrt(1100) - (sqrt(1100) + (sqrt(1100) - -2*sqrt(1100))*-5))))**2.\nAnswer: 215600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2853708133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 3, m: 3, n: 4, q: 1, l: 6}. What is prob of sequence fmq?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 + 3*s - 2. Suppose -5*r + 10*r - 10 = 0. Let u(d) = -d**3 - 7*d**2 + 6*d - 6. Calculate the remainder when v(r) is divided by u(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006021 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -145089 (base 10) to base 12\nAnswer: -6bb69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218662 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7482 + 7434. Suppose -3*p - 225 = -45. Let g = f - p. Calculate the greatest common factor of g and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 83, 105, 143, 203, 291, 413?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 637*n**3 - 127395*n**2 + 10387775*n - 301796000.\nAnswer: -(n - 352)*(n - 95)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 59*k**2 + 59*k**2 - 119*k**2 - 2*k**3 - 83*k**3 + k**4 in the form f + o*k + x*k**4 + b*k**2 + y*k**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-9 - (-1984)\/80)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5686, 6202, 7056, 8242, 9754?\n\"Answer: -h**3 + 175*h**2 - 2*h + 5514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137\/1606 + 23484\/341275. Calculate the common denominator of -43\/765 and f.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 2. Let d be h(0). Let a(k) = -k + 11. Let q be a(8). Suppose 3*g = 4*n - 16 + q, 21 = g + 5*n. Sort -3, g, d in increasing order.\nAnswer: -3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w + 4. Let i be h(-1). Solve 2*j + 3*s + 28 = 7*j, 2*j + i*s - 8 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 - -152. Let x be 4\/i*(11 - 17). Solve -5*o + 5 = -x*l, 3*o = -3*l - 0 + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7392695 millilitres in litres?\nAnswer: 0.0007392695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (448\/24)\/((-6)\/(-45)). What are the prime factors of (-4 + -1)*(-392)\/w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 2*b + 7. Let c be k(0). Let v be c\/((-7)\/(-18)) + (-7 - -10). What is the greatest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -5, -2, -0.38, 25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 468958479 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -2*s + 32*c, 173*s - c + 68 = 167*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001685394 rounded to 6 dps?\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275 (base 12) to base 9.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 178 = -5*g, 2*g - 176 = 7*g - 4*c. Let b = -36 - g. Solve l = -b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*k - 2, 5*k + 16 = k. Suppose 5*o - 35 = g*i - 0*i, 15 = 4*o + i. Suppose o*z - 45 - 70 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -344*a**3*c*j**2 + a**3*c*j*w - 6*a**2*c*j*w + a*c*j**2 + 4*a*c*j*w - a*c*j - 8*c*j**2*w + 2*w wrt j?\nAnswer: -688*a**3*c + 2*a*c - 16*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2448)\/(-8))\/(-17)*(-2)\/(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 4*l. Let x(h) = -h**3 - 5*h. Suppose 0*b + 6 = 4*r - 2*b, 5*b + 3 = 4*r. Let y be (-4)\/(3\/6*r). Let f = 1 + -6. Determine f*v(n) + y*x(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -601*u + 37. Let f(g) = -16*g. What is r(f(l))?\nAnswer: 9616*l + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-21) - 2\/7. Suppose n*j = -2*j - 16. Let l = j - -25. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 19 = 3*a, -a + 3*m = -6 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3791 - -3786. Let h = 1 - 1. Which is the smallest value? (a) j (b) 3\/5 (c) 2\/9 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 55645602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from xfugny.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524*h + 0*h**3 + 306*h + 2*h**3 + 218*h + 5*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxk when three letters picked without replacement from kbkykxybxbb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3248\/(-36540) - (-2)\/9.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 2, 0.202, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 + 0.02. Which is the nearest to 1? (a) -0.4 (b) i (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2331*j**3 - 1764*j**2 wrt j.\nAnswer: -13986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 58 - 20. Let q = 22 + j. Solve 5*p + q + 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -625*r**6\/6 - 355*r**5 + 8421*r**4\/4 + 8063*r**3\/3 - 724*r**2 + 60*r - 7528. Determine c so that j(c) = 0.\nAnswer: -5, -1, 2\/25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 214*y**2 + 428*y - 1668. Calculate h(4).\nAnswer: 3468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -30. Calculate the remainder when n is divided by ((-11)\/(-33))\/((-2)\/(-60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 720508?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 556039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 7. Let w be h(-5). Let g = -34 - -45. Let p = g + w. Solve p*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:12 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 7*b + 37. Let n(f) = 15*f + 77. Give 6*n(c) - 13*y(c).\nAnswer: -c - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 2\/(-8)) + 133\/28. Suppose 0 = -5*n + 4*l - 5, -4 = 2*n - l - d. What are the prime factors of -3 - 0 - (-160 + 1)\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-54) + (-21535)\/(-1971). Suppose 0 = d*o + 9*o - 1260. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 657951144 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1665*r - 15. Suppose 17*v + 77 = 24*v. Let i be n(v). What is i rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11221 (base 3) in base 12?\nAnswer: b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 25*v + 1252 - 1780 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1896, 663 in ascending order.\nAnswer: -3, 663, 1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1939*t + 235. Let o(w) = -21330*w - 2583. Let g(a) = 23*b(a) + 2*o(a). What is the first derivative of g(v) wrt v?\nAnswer: 1937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/25 + 3\/(-15). Let i be 7 - (v - (4 - 7)). Let n be 11 + i + (-1 - 7). Solve -3 + n = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210160 (base 9) in base 13?\nAnswer: -44a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/10 - 63872*m**3\/5 - 25548*m**2 + 255488*m\/5 + 510968\/5 = 0.\nAnswer: -127742, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*d**2 - 3063170*d - 799080.\nAnswer: -5*(d + 26636)*(23*d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26517.5mm in kilometers?\nAnswer: 0.0265175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -23. Suppose -2*d + 105 = a*d. Let x(v) = d*v**2 + 7*v**3 - 15*v**3 + v - 15*v**2. Calculate x(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z = 305*z - 2536 + 187 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -403, -896, -1587, -2476, -3563, -4848?\nAnswer: -6331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-8) - 176\/(-64). Let y be j - (-16 + 2 + -1). What is the highest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -45. Suppose -2*k - 8 = -2*n, 4*k + 2*n = -3*n + 11. Which is the closest to -1? (a) k (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 45*x**4 + 4*x**3 - 61*x + 4. Let w(o) = -44*o**4 - 3*o**3 + 61*o - 3. Let k(t) = 3*g(t) + 4*w(t). What is the second derivative of k(z) wrt z?\nAnswer: -492*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-nine fifths of a microsecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 790215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143738 is divided by 49705.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8.54\nAnswer: 6.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/11 + 464*z**3\/11 + 17174*z**2\/11 - 226316*z\/11 - 517584\/11 = 0. What is z?\nAnswer: -41, -2, 12, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 251 = -32*i - 48 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1362 divided by 1\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -32*r**7\/105 - 46*r**6\/15 - 13*r**5 - 725*r**4\/24 - 125*r**3\/3 - 65*r**2. Factor o(t).\nAnswer: -(t + 2)*(4*t + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(-2\/13)\/z)\/z*z)*z**(-3\/4)*z)\/(z**(1\/7)*z*z**(-2\/11)*z) assuming z is positive.\nAnswer: z**(1773\/4004)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(39)\/(sqrt(3)*-2)) + sqrt(91)\/sqrt(28).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2897 is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0 + 15. Let q be (8\/f + 3)*(-1 - -88). Put -2, -1, 3, q in descending order.\nAnswer: q, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -18 - 2. Suppose 29*g**2 + x*g**3 + 4 - 6*g**3 - 24*g - 5*g**3 = 0. Calculate g.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c = -15*c + 18*c. Solve c = 237*g - 242*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 3. Suppose 4*r - 23 = -h, -h - 3*r + 18 = -0*r. Sort l, h, -5.\nAnswer: l, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 9*d**2 - 8*d + 2. Let j be w(8). What is the units digit of 25 + 2\/(j - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-26) - (-486)\/390)*2\/(-7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*m + 302 - 78 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 9:38 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:31 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 2, c: 1, y: 3, b: 1, g: 1, d: 5}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*p = 20, -3*t - 495 = -4*p - 511. Let u(d) be the third derivative of 0*d - 24*d**2 + t - 5\/8*d**4 - 1\/6*d**3. Give u(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26322*z + 3*a - 4 = -26324*z, -6 = 3*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 - 45*a + 820. Calculate s(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*n**4 + 15 - 1 - 8 wrt n?\nAnswer: 272*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2020735 to the nearest integer?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 260.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 2*z - 12. Let n(p) = -2*p**2 - p - 12. Let c(l) = 3*j(l) - 4*n(l). Let d be c(0). Solve -3*w - d = -7*w - 5*i, 5*w - 10 = -5*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 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: Let i be (1681\/(-4))\/((-212)\/18656). Calculate the greatest common factor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 12:10 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44) - (sqrt(704) - sqrt(704)*3)) + -2 + sqrt(11)*-4 + sqrt(11) + (sqrt(11) - (5*(sqrt(11) + 0) + sqrt(11))).\nAnswer: -2 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/3, 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*n - 35, -4*u + 6*n + 29 = 3*n. Suppose 2*b + u = 0, 0 = -3*w - 3*b - 6 - 0. Solve -2*t - w*s + 2 = 0, s - 6 = -2*t - 0*s for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-4 - (-20 - (3 + -6))) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 994 divided by 994?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/4)\/(t*t*t\/t**(-1\/8)*t)*t**5\/(t\/(t*t**(-3\/10)))*((t**0\/t)**(3\/26))**(-6\/7) assuming t is positive.\nAnswer: t**(3363\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = 33 + 3. Is 2\/x*1 + 1284\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 11) to base 6\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 41682.36 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/80682 and -109\/30.\nAnswer: 403410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u + 41. What is y(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 11) in base 4?\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 1, u: 2, d: 9}. What is prob of picking 3 d?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -392.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, t: 1, m: 6}. What is prob of sequence tm?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/57)\/(4*45\/72).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/135 and -35\/162.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j)*(-10*j**2 + 2 - 2 - 1).\nAnswer: -20*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/2)\/7*64\/8704.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 474689, 474693, 474699, 474707, 474717, 474729, 474743?\n\"Answer: w**2 + w + 474687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6169*k + 38859*k - 1077*k + 31039*k + 5659*k.\nAnswer: 68311*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9700.71 grams?\nAnswer: 0.00970071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 622*d**3 + 2*d - 80 wrt d.\nAnswer: 3732*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 103. Suppose g = -w + 2*w + a, 2*w + 4*g = 18. Let y = 73\/390 + 1\/78. Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 460*0.4\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103921202 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 7, n: 2, j: 3, z: 2, g: 1}. What is prob of sequence gzy?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122132311313 (base 4) to base 9.\nAnswer: 14050652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from eeeeejjejeeeee.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (4 - 25) + 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4588 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 34, 79, 162, 295, 490?\n\"Answer: 2*p**3 + p**2 + 2*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223222 (base 5) in base 13?\nAnswer: 37c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 7\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43445, -43461, -43501, -43577, -43701, -43885?\n\"Answer: -2*r**3 - 2*r - 43441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 4213.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189.5 + -190.5. Which is the second biggest value? (a) l (b) -9 (c) -0.08 (d) -3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 57. Is z(30) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 211, 323, 435, 547, 659?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**4 + 4*o**3 + 101*o**2 - 2*o + 280994.\nAnswer: -12*o**3 + 12*o**2 + 202*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 676*c. Let d(m) = 13*m**2 - 10*m - 10. Let s(o) = 18*o**2 - 14*o - 14. Let k(z) = 7*d(z) - 5*s(z). What is k(q(b))?\nAnswer: 456976*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 22256 = -2*s - 22221, 3*s - 50 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1 + 10*j**2 + 3*j - 4*j + j. Let z be i(-1). What is the units digit of z\/2 - (-1)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-54)*3)\/(-42*11\/(-9702))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**3 - 29*k**2 + 203*k wrt k.\nAnswer: -24*k - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 588, 905?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)\/a**29*((((a\/((a*a\/(a**38\/a))\/a))\/a)\/a)\/a)\/a**(-27) assuming a is positive.\nAnswer: a**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 7*w - 1. Let v(h) = -8*h**3 - 6*h**2 + 35*h + 77. Give -5*i(y) + v(y).\nAnswer: -8*y**3 - y**2 + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011 - -20?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -5. Let a(n) = 35*n**2 - 27*n + 14. Let f(i) = -12*i**2 + 9*i - 5. Let x(s) = 3*a(s) + 8*f(s). Let l be x(v). Round l to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32064207*f**4 + 515*f - 7062 wrt f.\nAnswer: 384770484*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)**7)**16 assuming z is positive.\nAnswer: z**448","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1178, -2431, -3684, -4937, -6190, -7443?\n\"Answer: -1253*l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**2 - 22*z + 16. Let i(x) = 2*x**2 + 12*x - 8. Let y be (-5 + 6)*(0 - -11). Let f(a) = y*i(a) + 6*r(a). Let b(m) = -4*m. Calculate b(f(d)).\nAnswer: 8*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 1:18 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 2\/15 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126692?\nAnswer: 2, 19, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 3. Suppose -9*b = -4*b + 15. Let h be w(b). Solve 3*f - 5*f - 2 = 3*s, h = 5*f - 3*s - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*l + 6 + 5 = 0, 4*l = 2*u - 22. Suppose 2*a + g + u + 4 = 0, 4*a + g = -11. What is the units digit of 2 - (20*1)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.16789778?\nAnswer: 0.08394889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1688 + -327. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.0368 kilometers in nanometers?\nAnswer: 55036800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 908042?\nAnswer: 2, 454021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + n + n**3 + n**3 + n**3 - 3*n + n**2 as f + p*n**2 + o*n**3 + l*n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/4220310 and -34\/135.\nAnswer: 37982790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1119 or 2?\nAnswer: 1119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide (((-432)\/(-8))\/3)\/((-9)\/(-102))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 - 19*w. Let s(j) = 16*j**2 - 39*j. Give 9*f(o) - 4*s(o).\nAnswer: 8*o**2 - 15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s + 7. Let i(c) = -c**2 + 8*c - 8. Determine -4*i(p) - 5*l(p).\nAnswer: 4*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u + 390. Let s be y(30). Let i(j) be the first derivative of -2\/9*j**3 + s*j + 6 + 1\/2*j**2 - 1\/12*j**4. What is b in i(b) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 66 = 5*o, -3*o = o + 2*x + 44. Let z = 701 - 696. Let f be 3\/z*165\/198. What is the biggest value in o, f, 2\/5, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02611 - -554.351172.\nAnswer: 554.377282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f + 4. Let v be h(-6). Let j = 16 - v. Calculate the highest common factor of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 2*b - 6. Let w(t) = -t**2 - 2*t - 3. Let y(m) = -3*i(m) + 5*w(m). What is y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + 0*s)*(6 - 1 + 1).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 51489?\nAnswer: 51464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 26*l**2 - l**2 + 220 - 220. Let f(x) = -2*x**2. Let c(s) = -9*s**2. Let n(d) = 6*c(d) - 26*f(d). Determine n(u(r)).\nAnswer: -1250*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t = 4*g - 83*t - 2152, -3*g + 4*t = -1614. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42200 + 1?\nAnswer: -42166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 107934480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 - 6*s. Let o be l(3). Suppose -2*q = 3*n - 3*q - 11, -n + 1 = q. Solve -n*b + 9 = -o*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 11:12 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 + 2*c. Let o(a) = 2*a + 0*a + 9*a - 36*a**2. Let h(k) = -2*o(k) + 11*w(k). Let x(m) be the first derivative of -m**2\/2 + 2. What is h(x(j))?\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002402 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - -1) + 302879\/(-7942).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*p + 5*y, 0 = 2*p + 12*y - 14*y - 6. Solve -3*b = 2*w + 10, 16 = -p*b - 20*w + 15*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3668)\/12*9\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1395*i**6 - 1730*i**5 + 49888*i**2 - 15.\nAnswer: -167400*i**3 - 103800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*h = -33, 0 = -v - 0*h + 2*h + 21. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*q - 0. Suppose 0 = 4*c - q*c + 4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*1*4*sqrt(27)\/(sqrt(99)\/(sqrt(22)\/sqrt(2)))*-3)**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/81*(-1)\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.496 + 35.904. Let g = -36.40000048 + m. Round g to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 14*x**2 - 386*x - 6707. Give l(40).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 4*a = -7*a + 52065. What is the highest common factor of 195 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44024*d**2*i**2 + 76878*d**2 + d*i + 2*i**3 - 11 with respect to i.\nAnswer: -88048*d**2*i + d + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v**6 - 57316759*v**4 - 292658213*v**2 wrt v?\nAnswer: 360*v**3 - 1375602216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.9. Let q = b + 0. Let i = 49 - 49.3. Is i <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218983*q - 536 = 218991*q for q.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/8, 0.1, -3, 2\/249 in ascending order.\nAnswer: -3, -1\/8, 0, 2\/249, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 3*m**2 - 2*m - 4. Let t be b(4). Suppose 2*v = -2*r - 16, -t*r + 6 = -5*v - 7. What is the units digit of (-6)\/r*(2 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 538 divided by -223781.\nAnswer: -538\/223781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9415.92 + -4\nAnswer: -9419.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2012 - -32?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55\/108 + -91\/108. Which is the nearest to q? (a) -0.01 (b) -3 (c) -0.4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 89*w**2 - 11*w + 20. Let k(l) = 30*l**2 - 4*l + 7. Let f(p) = 6*j(p) - 17*k(p). Is f(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166882242?\nAnswer: 2, 3, 47, 113, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -21*d + 36. Solve 1 = d*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30.316 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 5 = 12*v. Solve -4*h + 12 = n, v*h + 5*n - 9 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let z(m) be the third derivative of m**3\/6 + m**2. Let p(r) = 6*r - 12. Let w(v) = -p(v) - 12*z(v). Calculate q(w(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**5 - 589*v**4 + 86434*v**3 + 87614*v**2 - 86435*v - 87025 = 0?\nAnswer: -1, 1, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((0 + 1)*0)\/(-3))\/2. Suppose 4 = -o*l + l. Solve -l + 1 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145401 - 1120?\nAnswer: 144251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**3 - 4*p**2 + 8*p. Let y be (4\/(-8))\/(2\/24). Let h(c) = -13*c**3 + 7*c**2 - 15*c. What is y*h(v) - 11*z(v)?\nAnswer: v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -34, -117, -274, -529?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 13*r = 22*r. Solve r = 19*i - 59 + 21 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 124.04304 months?\nAnswer: 10.33692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*d + 57*d - 108*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8.64+-0.13\nAnswer: 8.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**5\/60 - 43*v**4\/6 + 878*v**3\/3 + 1920*v**2. What is the first derivative of h(x) wrt x?\nAnswer: -2*x - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -701870 (base 9) to base 16.\nAnswer: -6543f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -4\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, q: 2, v: 8, g: 1}. What is prob of picking 1 v, 1 g, and 2 q?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11))**(5\/4)\/((g*g**(2\/41))\/(g**(3\/7)*g)) assuming g is positive.\nAnswer: g**(3833\/6314)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(4\/24)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and -0.6.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014\/5*c**2 + 56\/5 - 532\/5*c**3 - 88*c - 98\/5*c**4 = 0.\nAnswer: -7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdbdqdbqddbbebfqb. What is prob of sequence fbbb?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 11. Let r be j(5). Let a be (-3)\/(-5)*2\/4. Is a smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/125599 and 37\/3416.\nAnswer: 7033544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -47 - (817 + -877).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 57*g - 52. Give j(-15).\nAnswer: 578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 89869282 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 is divided by 52.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7680.668 litres in millilitres?\nAnswer: 7680668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 1:32 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-666)\/(-21))\/1 - (-40)\/140. Calculate the highest common factor of q and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-18))\/(116\/(-348)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 12778887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -27. Solve 0 = -z - l + 1, t*z - 3*l = z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72665, -145424, -218421, -291776, -365609, -440040, -515189?\n\"Answer: -20*h**3 + h**2 - 72622*h - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 9739081.\nAnswer: 3\/9739081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*z + 2*z. Calculate the remainder when 1\/(-4) + 0 + 1085\/20 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/77, -1\/10, 3?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 878 - 878.00371. Round c to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1 + sqrt(1900) + 0 + 1 + -3 - (((sqrt(1900) + (sqrt(1900) - (sqrt(1900)*-2 - sqrt(1900))))*-2)**2 + -4)*2).\nAnswer: -379990 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -1, 26 in ascending order.\nAnswer: -3, -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 173*h - 706. Let f be t(4). Solve -2*b - 5*u + 14 = -9, -f*u + 12 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -4.8. Put 2, f, 3 in descending order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0 + 0*f + 1\/24*f**4 + 7*f**2 + 2\/3*f**3. Let a(w) = -w + 5. Let k(s) = -s + 6. Let o(n) = 6*a(n) - 5*k(n). Give o(b(r)).\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2999319 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 0*h - 3*h)*(93*h**2 + 535*h - 325*h**2 - 534*h).\nAnswer: -232*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006971634 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -500.7+-717114937\nAnswer: -717115437.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32590995 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*z = 9203 - 9206, 0 = -3*f - 3*z - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15426 and 2742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1634 + 19*l**2 + 1634)*(-l + 0*l + 4*l).\nAnswer: 57*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(175)*4)**2.\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 1911?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1493735571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2304 = 69*i - 21*i. Which is greater: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 2978\nAnswer: -5956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 6. Suppose d = -2*a - 3*a - 5, 3*a + 1 = -d. Let u(k) = 8*k + 7. Let z = -11 + 5. Give d*u(v) + z*f(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/375)\/(2\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4))**12\/(h**1\/h)**(-24\/5)*(h*h**(-5\/6)*h\/(h*h**0))**(11\/3) assuming h is positive.\nAnswer: h**(-43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -302, -248, -182, -98, 10, 148, 322, 538?\n\"Answer: y**3 + 47*y - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7550962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 156.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -889, -6642, -21869, -51184, -99201?\nAnswer: -170534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 590\/(-1062)*(2 + 202\/(-122)) and 19\/492.\nAnswer: 30012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = y - 3*x, 2*x + 1 = 2*y - 45. Calculate the greatest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 36 = -6*s + 2*s, 0 = -k + 2*s. Let p(u) = -u**3 + 6*u**2 + 2*u + 5. List the prime factors of p(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171800 rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u = 8*k - 24, 101*k - 104*k + 3*u - 7*u - 5 = -14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n + 2*n**2 + 5*n. Let q(m) = -7*m + 8*m + 4*m. Calculate d(q(b)).\nAnswer: 50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-219259)\/92*(-1 + -27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 2172174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 + 193*l - l**4 - 2*l**2 - 196*l as z*l**2 + v*l**4 + a*l + j + y*l**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 3 - 4*f + 6 + 2*f + 6*f.\nAnswer: 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**2 - 5*g - 2. Let x(a) = -a**2 - a. Let s(w) = -3*u(w) + 15*x(w). Let i(q) = -3*q**2 - 5. Give 5*i(o) + 4*s(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200938559?\nAnswer: 31, 73, 88793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdqxqdq. What is prob of picking 2 q?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 3:41 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -248 + 502 - s - 254 + 58*s**2. Let j(f) = 5*f. Give b(j(l)).\nAnswer: 1450*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 2*a - 1. Let n = 27 - 34. Let g(i) be the second derivative of 5*i**4\/6 + 7*i**3\/6 - 2*i**2 + i. Let o = 4 + -2. What is n*r(l) + o*g(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 2*r**2 + 4. Let y be a(-3). Suppose 3*g + 189 = -f, -g - g - 131 = -f. Let q be (0 - 2\/y)\/(g\/(-10)). Are q and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/((-85)\/(-105)) + 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19*g - 7. Let o(c) = 19*c + 8. Let h(u) = -4*o(u) - 5*s(u). What is the tens digit of h(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 41\/16125897.\nAnswer: 64503588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 93717 and 378072.\nAnswer: 44234424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 10*m - 63 = 0. Let x be (-10)\/(-4) - 2\/4. Suppose m*o - b - 36 = o, -x*b = o - 18. What is the greatest common factor of o and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - y**3 + 2*y**3)*(4*y - 5*y + 0*y) - y**2 - y**4 + y**2 - 4*y**4 + 20*y - 2*y**3 - 20*y + (-842*y**2 + 1711*y**2 - 755*y**2)*(-y**2 + 0 + 0).\nAnswer: -117*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*n - 2041 = -98*n. Solve n*m = -50 + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3330 + -3239. What is the least common multiple of 156 and t?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(sqrt(35)\/(sqrt(5) - sqrt(80)) + sqrt(175) + -1 + 3))**2.\nAnswer: 84*sqrt(7) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6490*l**2 + 1677*l**2 - 69*l + 69*l to the form c + b*l + s*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/27 and 137\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j. Let s(g) = 24*g**2 - 76*g**2 + 43*g**2. Give s(x(f)).\nAnswer: -576*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.21 + 0.21. Is w > -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146\/99 - 15\/11. Put -1, q, 2 in decreasing order.\nAnswer: 2, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 17 + (-69 - -74)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 50*g = -32*g - 37*g. Let p(q) be the first derivative of g*q**2 + 3\/2*q**4 + 20*q + 0*q**3 + 22. Differentiate p(b) wrt b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47784 - -47821. Solve 27*c + n + 152 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -745, -744, -743, -742?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -202. Let w = -91 + f. Suppose 3*b - w*b + 282 = 0. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-330448\nAnswer: -99134.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1707755589?\nAnswer: 3, 23, 599, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16170\/56)\/(-21))\/((10\/(-8))\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((1495 - 1489) + 0 + 3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 = -0*b. Let k be 6\/(-15) - 1491\/(-15). Calculate the highest common divisor of k and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 242.5992\nAnswer: 97.03968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 117 - 77. Let b(m) = -m**2 - 7*m + 44. Let l be b(4). Suppose -y + o + 43 = l. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 835 = 8*h. Let t = h + 98. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 13. Let c(r) = 3*r - 7. Let t(u) = 6*u - 15. Let n(f) = p*c(f) - 6*t(f). What is n(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -377, 5 in decreasing order.\nAnswer: 5, 1, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/15 + 26*q**4\/15 - 22*q**3\/5 + 62*q**2\/15 - 4*q\/3.\nAnswer: -2*q*(q - 10)*(q - 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8943\/15)\/(14\/(-5)). Let u = -213 - g. What is the fourth biggest value in u, -4, -2, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -232*w + 64*w + 108*w - 111 + 64*w. Calculate h(32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.37 times 0.0191\nAnswer: 0.007067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + sqrt(243) + 3 - (sqrt(243) - (sqrt(243) + 1)*5)))**2 + 1.\nAnswer: 180*sqrt(3) + 6080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4765710, 9531419, 14297126, 19062831?\n\"Answer: -v**2 + 4765712*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -192, -214, -234, -252, -268?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-3))\/((-15)\/6). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a hour?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1*sqrt(68)*6 + sqrt(68))\/sqrt(4))**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*z = 3*g + 6, -2*z - 2 = -2*g. Sort g, 3, -10.\nAnswer: -10, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25732*k - 13361*k - 63*k**3 - 12371*k + 4*k**2.\nAnswer: -63*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20890566 divided by -123.\nAnswer: -169842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552 + 551. Suppose -11*p + 15*p - 17 = -5*j, -p = 2. Let d = 1 - 1. Which is the nearest to -2? (a) d (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 6*j - 8. Let s = 3 - -24. Let h be 2\/(-9) + (-129)\/s. Let c(z) = -3*z**2 - 6*z + 9. Let w(m) = h*q(m) - 4*c(m). Find p such that w(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 + 43 = 4*c. Let y = -5 - -23. What is the common denominator of 119\/18 and c\/(-20)*(-25)\/y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -50, -113, -200, -311, -446, -605?\n\"Answer: -12*t**2 - 3*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62 or 32?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -15453886?\nAnswer: -2\/7726943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5556, 11111, 16664, 22215, 27764?\n\"Answer: -d**2 + 5558*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x + 1. Let i(j) = -2*j**2 + 1 + j**2 - 4. What is -i(c) - 2*u(c)?\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 - 318*b**2 - 310*b - 430*b**3 + 210*b + 110*b**3 - 1682*b**2 - 385*b.\nAnswer: -5*(b + 6)*(8*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/7838201?\nAnswer: -1\/7838201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**6\/1260 + 17*g**5\/315 + 65*g**4\/252 + 32*g**3\/63 - 4610*g**2. Suppose h(x) = 0. What is x?\nAnswer: -32, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*s - 6 - 233*s + 6.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + m)*(2*m**2 - 3*m**2 + 0*m**2) + 0 + 0 + 2*m**3 + (-4*m**3 + m**3 + 2*m**3)*(7 + 32 + 70).\nAnswer: -108*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 - 2209 = -51*z - 72*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + x - 1 + 5*x - x. Let m be j(-4). Let d = m + 0. Calculate the remainder when 31 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - (-6 + 8)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 77\/14*(-1)\/(-11). Solve m*d**2 + 0 - 1\/6*d**3 - 1\/3*d = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246974 and 598.\nAnswer: 246974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 46040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 343799*l + 3438080. What is t(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -73.804 and -5.\nAnswer: -78.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3340177 milliseconds in minutes?\nAnswer: 0.000038900295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.8481 - 4.76173. Let z = a - -0.00463. Let v = -0.091 + z. Do v and 2.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 105*w**2 + 8*w + 5. Let x(g) = 104*g**2 + 6*g + 5. Calculate -3*p(h) + 4*x(h).\nAnswer: 101*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.580176ms to nanoseconds.\nAnswer: 5580176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 5087232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 91*y + 124. Calculate b(44).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 10:40 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 10. Sort f, -3, 4 in ascending order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*k**3 + 2*g*k**2 - 5*g*k - 34*g + 158*k**5 wrt k.\nAnswer: -18*g + 9480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.718525, 1\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 7*s - 22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374064 is divided by 171706.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7965*u**3 - 256*u**2 + 9365024*u + 2.\nAnswer: 47790*u - 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/369 and -5\/2911.\nAnswer: 26199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55443121 (base 6) in base 9?\nAnswer: 3124654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a + -1?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 202, 206?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 - r. Let i(g) = -3*g + 2. Let z(c) = -13*c + 9. Let t(w) = -9*i(w) + 2*z(w). Determine t(l(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**2 - 45*d + 90 = 0. What is d?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1801)\/(-7) - (-20)\/(-70) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 - -50 - (-3 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 13*g + 12*g. Solve -3*z = 4 - g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-p - 2*p + p) - 2 + 2 - p - 4 + p + 4 - 4*p + 0*p - 3*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ko when two letters picked without replacement from okook?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 20 - m + 4\/15*m**3 + 1\/30*m**4 - 12\/5*m**2. Factor g(t).\nAnswer: 2*(t - 2)*(t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1535ab3?\nAnswer: 1535aac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -43135000 to the nearest 100000.\nAnswer: -43100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5447 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17392*k + 21. Let d(a) = -3476*a - 4. Calculate -11*d(u) - 2*g(u).\nAnswer: 3452*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650 - q + 536*q**2 + 2*q**3 - 659 - 536*q**2.\nAnswer: 2*q**3 - q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:22 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/6 - 45*n**2\/2 + 2*n - 219. Give o(-13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 3*r. Let y be (-12)\/10*30\/9. Let c(m) = 0*m**2 + m**2 + 0*m**2 + 0*m + 2*m. Determine y*u(o) - 6*c(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 379325800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*-6*(-18)\/702*-13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 12 - -54) + (29 - 7 - 39).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*h - 212*h + 21 - 21)*(0 + 0 - 6).\nAnswer: 1836*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/13? (a) -205 (b) -0.5 (c) 2 (d) -6 (e) -0.03 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192, -443, -684, -909, -1112, -1287, -1428, -1529?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10378887.5 to the nearest one hundred thousand.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a - 3. Let n be i(8). Suppose 0*y + y - n = -4*f, 0 = -2*y + 4*f + 230. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141788674*j + 141788876*j - 4*j**3 - j**3.\nAnswer: -5*j**3 + 202*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 12:38 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 - -0.02. Let r(f) = -2*f**2 + 6*f - 3. Let p be r(-7). Let o = p + 291\/2. Which is the second smallest value? (a) o (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 330\/24 - 2\/(-8). Suppose q = -3*z + a, 0 = -q - 0*z - 4*z + 17. Suppose -4*k + q = -11. Solve 4*r = 0, -5*t + k*r + 20 = -0*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:00 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 392*d - 36735.\nAnswer: -(d + 155)*(d + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 81\/24)*6\/9. What is the nearest to 10\/17 in -4, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 752 and 272.\nAnswer: 12784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 4*w**2 + 7*w + 2. Give s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18206860.\nAnswer: 2, 5, 7, 47, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -58281850.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 6*d + 3. Suppose 5*p - p - 48 = 0. Suppose 4*b = 2*f + 46, 2*f - 6*f - p = 0. What is the remainder when q(6) is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10, -3\/7, -5, 4, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y)**(-11\/3)*y**(-1\/8)\/(y*y\/y**(-1\/5))*(y**(2\/15)\/(((y\/((y**(-2\/13)\/y)\/y))\/y*y)\/y))**22 assuming y is positive.\nAnswer: y**(-72971\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6474640 rounded to the nearest 1000?\nAnswer: -6475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*f, -2*b - f + 2 + 0 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 918 + -875. Which is smaller: m or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5 - 1 + 5*q**2 - q**3 + 2. Suppose -8*j = -10*j + 4. Suppose 0 = 5*p, -j*u - 2*p + 10 = -3*p. What is n(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15252 is divided by 737?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = -4*n - 48, 2 = -n. Suppose -5*j + 6 = -2*j. Suppose j*p + p - 15 = 0. Calculate the highest common divisor of p and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvsvvsvvv. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 892, 195, -3680, -12323, -27324, -50273?\nAnswer: -82760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -11*o + 887. Suppose 67*n = 62*n + 65. Calculate the lowest common multiple of m(80) and n.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3249*n = -5*i - 3252*n + 6, -4*i = -4*n - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x + 7*d - 3*d, 0 = -x - d + 4. Suppose -x*c - 5566 = -27*c. Suppose 2*s = s + 22. What is the highest common factor of c and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 770\/539 - 6\/(-84)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 213 and 7.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 5:43 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(68)*-2 + -4 + 1)*-4 + 1.\nAnswer: 10 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 4362, 1\/5.\nAnswer: 1\/5, 52, 4362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from {k: 2, w: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*y, y - 2*y + 2*z - 8 = 0. Suppose y*p + 122 = -4*d - p, -4*d + 5*p - 138 = 0. Let k = -17 - d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 + 11*b**3 - b**4 - 13*b**3 - 2*b**2 to the form f*b**3 + z*b + w*b**4 + i*b**2 + q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*v - 9. Suppose -v*k = 4*g - k - 11, 2*k - 4 = g. Factor 2*d**4 + 2*d**g - 2*d**3 - 2*d**2.\nAnswer: 2*d**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 92. Let i(p) = -p**3 - 7*p**2 + 7*p + 3. Calculate the remainder when r is divided by i(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsggogsssgggsggq. Give prob of picking 1 g, 1 o, and 1 q.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j + 6. Let r be -1*38\/(-4)*-2. Let q = r - -18. Let t(o) = 3*o - 3. Let p(y) = 8*y - 8. Let u(d) = 4*p(d) - 11*t(d). Determine q*m(g) + 5*u(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 8 + -1 + 5. Let u = 29 - p. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16014, 16079, 16144, 16209, 16274?\nAnswer: 16339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4482*s. Let f(u) = 100*u. Determine r(f(o)).\nAnswer: 448200*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2016766790882 take away -2?\nAnswer: 1.7983233209118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 3*x + 2. Let c be y(4). Let v be (-1080)\/(-162)*(-12)\/(-8). Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 8*u**2 - 2*u - 9. Let v be l(7). Let d(r) = -5*r**2 - 1. Let w be d(-1). What is the tens digit of w + 4 - v\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4409, 8750, 13091?\n\"Answer: 4341*o + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 24*w + 5 = 0, 3*q = w - 20. Put -2, 2, q, -121 in descending order.\nAnswer: 2, -2, q, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*i = 4*l + 11, 3*l + 2*i = 33. Suppose -l*p + 212 = 25. Put -5, p, 1, 2 in decreasing order.\nAnswer: p, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 692266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 7. Let k(m) be the third derivative of 0*m**3 + 0*m**c - 1\/42*m**4 - 1\/70*m**5 + 0*m + m**2 + 1\/735*m**7 + 0. Solve k(v) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3810 is divided by 244?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -880 at least as big as 3351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -79. Put t, 15, 2 in increasing order.\nAnswer: t, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/171*(34\/629 - (-78275)\/(-370)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 2:34 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12858, -12845, -12832, -12819, -12806?\nAnswer: -12793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 4*x**2 - x - 4. Let s = 22 - 31. Let i(o) = o**2 + 9*o - 4. Let h be i(s). Determine m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/53, -0.4, 1\/30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31.78189 and 19374851.\nAnswer: 19374882.78189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 317987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -7023*(-2 + 1) - (-919 + 918)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1213527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-9) + 6\/9. Suppose -f + 0*o - 3*o = -7, -f + x*o = 13. Let t be 8\/(-10) + (-94)\/f. Calculate the highest common divisor of t and 108.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let b(j) = -2*j. Let l(n) = b(n) - 3*t(n). Let d(w) = -8*w. Calculate -2*d(u) - 20*l(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*j**2 - 289*j**2 - 2*j + 2*j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 1)\/(2\/2). Let a be k\/1*49 + 1. Let n = a + -53. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-21)\/(-12))\/(30\/225*27\/(-36)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 1. Let x be w(10). Does 3 divide -179*(-1)\/2 + x\/(-62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(192)\/sqrt(6)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120140624.\nAnswer: 2, 31, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/5983?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/10 + 1\/1. Which is the third smallest value? (a) -2 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111111001 (base 2) to base 6.\nAnswer: -4413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10097 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 5*u**6\/36 - 179*u**4\/12 + 51*u + 1. Let p(m) be the third derivative of f(m). Let l(t) = -2*t. Give l(p(o)).\nAnswer: -200*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-30) - 138\/(-36). Suppose -5*q - 28*o = -29*o - 50, 0 = b*q + 5*o - 69. Solve -q*l - 9 = 35 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23633, 23624, 23615, 23606?\nAnswer: 23597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 402841200 a multiple of 4300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/4 - 20*w**2.\nAnswer: 5*w**2*(w - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3120*j + 1059*j + 2988*j + 2050*j - 12432*j.\nAnswer: -3215*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5321699780 to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - t**2 - 3*t + t**3 + 0*t**3. Let c be w(2). Solve -7 = -c*f + 2*d + 9, -5*f + 4*d = -36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 4. Suppose 2*m + 3*m = 0. Let y be t(m). Suppose 4*h + k = 25, 0 = -3*k + 9 + 6. Solve -h*c + c = -y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*q + 3066284 = 238*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51873, -207802, -467793, -831846?\nAnswer: -1299961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/89, -3, -0.5, -113, -5?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.084615 to 1 decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -25*m**4\/6 - 457*m**3\/6 - 2*m**2 - 258. What is the derivative of p(i) wrt i?\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212312440 (base 5) to base 12.\nAnswer: 3754ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -576, -495, -360, -171?\n\"Answer: 27*m**2 - 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q - 2*q + 0*q)*(-605*q - 84*q - 660*q - 56*q + 277*q) to the form s*q + c*q**2 + r and give c.\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 + 36*j**3.\nAnswer: 3*j**3*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 322 = 393. Let u = -692 - -705. What is the greatest common divisor of u and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24640000 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/9)\/q)\/(q\/(q\/(q**(1\/4)\/q))*q))\/(q**(1\/3)\/(q**(-4)*q*q)) assuming q is positive.\nAnswer: q**(-113\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 14 = g, -5*g - 5*m + 3 = -17. Let n = 21807\/19 + -1148. Let r = 1\/76 + n. Sort r, 2, g, -0.3 in decreasing order.\nAnswer: 2, r, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12000, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 12:57 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**3 - 6*b**3 + 0*b**3 + 1. Suppose 5*m - 3*d = 9, -2*d = m + 2 + 4. What is the units digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*w - 139*w + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(32) + sqrt(1152)))**2.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995*n - 1315*n + 54780 = -650*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 81235*o\/2 + 1625500.\nAnswer: -(o - 40)*(o + 81275)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 152, 218, 284, 350, 416?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/190 - 1269*l**4\/19 - 6441444*l**3\/19 - 16348384872*l**2\/19 - 2*l + 6980. Determine y, given that b(y) = 0.\nAnswer: -2538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(448) + -3)*-1.\nAnswer: -8*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e2 - 2?\nAnswer: 1e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*l + 5*h, -8*l + 11*l + 4*h = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66625, -66623, -66621, -66619, -66617?\nAnswer: -66615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -79994667919+260\nAnswer: -79994667659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**3 - 6*j**2 - j**2 + 7*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 + 84*l + 88*l - 172*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdaajaddkoadjja. What is prob of sequence oaa?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3076, -3074, -3070, -3064?\n\"Answer: y**2 - y - 3076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 + -2.5. Suppose -z + 3*u + 12 = -2, 2*u + 5 = 5*z. Let c = -0.1 + 0.2. What is the closest to y in z, -0.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/25)*v))\/v)\/v)**(-26)*(v**7)**(1\/4) assuming v is positive.\nAnswer: v**(5583\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 20*t + 1. Let g(d) = 5*d + 20. Calculate h(g(l)).\nAnswer: 100*l + 401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 75 = x + 84, 4*x + 196 = 5*c. Suppose -3*w = 5*w - c. Let n = -3 - -5. Solve -2*f - 19 = -3*f - w*q, -26 = -5*f - n*q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 18*s - 243. Let g(q) = -q**2 + 3*q - 1. Give -c(j) - 6*g(j).\nAnswer: 2*j**2 + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s. Let u be z(-6). Let a(y) = -y**3 - 13*y**2 - 12*y + 14. Calculate the remainder when 41 is divided by a(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*t + 8, -t + 7 = c + 4*t. Let k be (c + 2)\/(2\/(-6)). Let v = k - 4. Which is smaller: v or 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-6\/11))*j\/(j*j**(-5)*j*j)*j**(1\/14)\/j**(-2\/7))\/((j**(-9)\/j)\/(j\/(j*j*j**6\/j*j)*j))**(2\/9) assuming j is positive.\nAnswer: j**(5129\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 - 4.67. What is the third smallest value in v, -1, -0.017, -1\/12, 0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*p = -24, 3*d = -5*p - 3 - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4775 + 2327 = -614*b - 7634 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**2 - t**4 + 5*t**2 - t**4 - 3*t**4 + 2*t**4 + (7*t - 7*t - 2*t)*(-2*t**3 - t**3 + 5*t**3).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 + 12158940*p\/11 + 18479977740450\/11.\nAnswer: 2*(p + 3039735)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/33)\/a)**47*(a\/(a\/(a\/(a**8*a))*a))\/a*a**(-12\/13) assuming a is positive.\nAnswer: a**(-5908\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 5. Let m be x(4). Let f be m\/2 + 14\/4. Suppose w = -4*v - f*w + 8, 3*v + 5*w = 2. What is the lowest common multiple of v and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1289, 2737, 4185, 5633, 7081?\n\"Answer: 1448*x - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10859672 and 9182359.\nAnswer: -1677313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -2270.\nAnswer: 15890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 51*u + 148*u**2 - 2 - 148*u**2 as s*u**3 + t*u + i + n*u**2 and give t.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k**2. Let o(b) = 2*b - 1. Let z(v) = -25*v + 13. Let f(q) = 78*o(q) + 6*z(q). What is w(f(j))?\nAnswer: -324*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*f*g*q - 743*f*g + 3*f*q - g**2*q + g**2 wrt q.\nAnswer: -54*f*g + 3*f - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2 + (-12)\/8). Let b = u - -2. Suppose -4*a + 1186 = b*r - 3514, -5*a + 4704 = 4*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540609683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a micrometer in nanometers?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-21))\/(-14 + (3267\/(-18))\/(-11)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = r + 5. Calculate the least common multiple of r and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) 0.2 (d) -219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-3)\/sqrt(2))\/(sqrt(6) + -1*(sqrt(6) - sqrt(18)\/sqrt(3)) + sqrt(6)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1440.0000009934 - 1440. Round x to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k**3 - 69*k**2 + 4592*k**4 + 10*k**3 - 4590*k**4 + 2 to the form r*k**2 + w*k + f + p*k**4 + g*k**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) - 2919\/252. Let d = -1621\/138 - w. Put -4, 5, d, -1\/5 in ascending order.\nAnswer: -4, -1\/5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-380)\/65)\/(((-380)\/65)\/38)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*k + 1, 0 = -2*k + k - 5*l - 19. Let h be ((-24)\/(-90))\/(k - -1). Let i = -2 + 2.5. Which is the nearest to 1\/3? (a) -0.3 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 2*u - 2. What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(396) + sqrt(11))**2 + 4).\nAnswer: 3258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103467 is divided by 239.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1253, 2655, 4407, 6683, 9657?\n\"Answer: 29*r**3 + r**2 + 1196*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**4 + 56*g**2 - 56*g**2)*(-2*g - 4*g + 7*g) - 3*g**5 + 4*g**2 - 4*g**2.\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkyffyykykffh. Give prob of sequence hkk.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 21450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2048 and 71\/524?\nAnswer: 268288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j**4 + 8*j**3 - 72. Let i(p) = -8*p**4 - 4*p**3 + 37. Let u(f) = -11*i(f) - 6*z(f). What is the first derivative of u(x) wrt x?\nAnswer: -32*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3637561313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.47 and -6097235.\nAnswer: -2865700.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -8.55 + 1282\nAnswer: 1273.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 8*p**2 + 3*p + 4. Give b(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 5:37 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256 - 113. Let c = q + -138. Suppose c*i - 3*w - w = 669, -w - 1 = 0. What is the greatest common factor of 19 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 + 2*o**2 - 2*o**2 + (-5*o**2 + 7 - 7)*(-5*o**2 + 5*o**2 - o**2 - 5) as j*o**4 + p*o + k*o**2 + z*o**3 + s and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -146b3 (base 12) in base 10?\nAnswer: -28647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-28))**(-40)\/(m*m\/(m\/((m*m*m**(-11\/9))\/m))*m)**13)**(-41) assuming m is positive.\nAnswer: m**(-404752\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/17226 and -107\/110?\nAnswer: 86130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -33.3.\nAnswer: -37.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6128.3767 - -6128. What is c rounded to two decimal places?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l*l*l*l**(-4))\/(l**(1\/4)*l)**(-49))\/(l**(-3)\/(l*l**(2\/3)))**(-10\/3) assuming l is positive.\nAnswer: l**(1537\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5 + 522*v**4 + 10284*v**3 + 49336*v**2 + 90480*v + 57600 = 0 for v.\nAnswer: -240, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 452 and 6?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/39 - (-2)\/((-18)\/(-21))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2\/5 (b) 0.1 (c) 4\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**4 + 6*p**3 + 2*p**2 - 10*p + 2. Let r(w) = w**4 - w**3 + w**2 - w - 1. Let g(k) = 2*r(k) - x(k). Let g(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 992404 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/((u**1\/u)\/u))\/(u**7*u))\/((u**0\/u*u)\/(u\/u**1)))\/(u*u\/(u\/u**(1\/3))*u*u*(u\/((u*u\/(u*(u\/(u**(-9)*u))\/u))\/u))\/u)**(1\/69) assuming u is positive.\nAnswer: u**(-1069\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 118021895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aggyyhagayayygggy. Give prob of sequence gggy.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-2)\/(2\/(-27)). Suppose 0 = -2*d - 3*r - 59, -5*d - 2*r = -10*d - 119. Are p and d non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1 - 53*n**2 - 4*n + 54*n**2 + 4*n. Let o = 0 + 2. Let z be c(o). Calculate the greatest common divisor of z and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35169118 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-0.044.\nAnswer: -0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -27\/8, -1\/7, -0.2, -4, -1.5, -26?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -26. Which is the closest to -2\/3? (a) g (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(63) - sqrt(1575))*-1)\/(sqrt(9) + sqrt(90)\/sqrt(490)).\nAnswer: 4 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-20))\/(96\/15). Let r = -11\/16 - n. What is the nearest to -1\/4 in -1, 0.02, r?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 >= 2589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let s(h) = -2 - 6 - h**2 + 0*h + 4 - 5*h. What is s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -252, -258, -266, -276, -288, -302?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2585054, -2585056, -2585058, -2585060, -2585062?\nAnswer: -2585064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2749, 647, -2889, -7859, -14263, -22101?\n\"Answer: -717*i**2 + 49*i + 3417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18565448 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 145073201 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67\/2 + -33. Let g = -752 + 1565\/2. Let x = g - 28. Are x and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 2*g + 2*g. Let n be 6 - 3\/((-6)\/(-4)). Calculate y(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((-55)\/125 - (-4)\/8). Let g = 145 - s. Sort g, 1, -2, 3 in descending order.\nAnswer: 3, 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90.1 + 94. Let z = -0.1 - v. Let l = 12 + z. What is the second smallest value in l, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/257, 3\/2, 2, -0.5.\nAnswer: -0.5, -2\/257, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*t + 17*t - 12*t)*(2*t + 0*t - 3*t) + 4*t**2 - 2*t**2 - t + 0*t**2.\nAnswer: -12*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5506.375223 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124\/413 - -16\/59. Determine l so that 0 + c*l**5 + 0*l + 0*l**4 - 4\/7*l**3 + 0*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -460 + -35175?\nAnswer: -35655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 269.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/67744 and 155\/6132.\nAnswer: 1422624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 117205263 divided by -39068421?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180) - sqrt(180)) + (sqrt(80)*-1)**2.\nAnswer: 6*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -518 less than or equal to 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 4*k + 6. Let s be r(4). Let g(y) = -s*y + 3*y**2 - 3*y + 13 - 4*y**2. What is the units digit of g(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 45 = 5*h, 2*x + 4*h = -33 + 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 17 = -3*i, v - 8*i + 13*i + 26 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - y**2)*(0*y + 0*y + 2*y**2)*(88057 - 40776 - 35925).\nAnswer: -22712*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113446, 113429, 113412?\n\"Answer: -17*c + 113463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016365 is divided by 1338?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**4\/4 + 6*f**3 + 8*f**2 - 16*f + 4. Let j be v(-17). Which is greater: j or 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+-10419\nAnswer: -10419.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125501 is divided by 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k + 5. Suppose 6 + 12 = 3*x. Let u(d) = -6 + x*d - 2*d - 9*d. Give -6*n(j) - 5*u(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0111148952 rounded to 6 decimal places?\nAnswer: -0.011115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*((((f\/(f\/(f**(1\/12)\/f)))\/f)\/f)\/f)\/f)\/((f**(2\/7)\/f)\/((f**(-8)\/f)\/f)) assuming f is positive.\nAnswer: f**(-1025\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h + 3*v - 0, 3*h = 2*v - 3. What is the lowest common multiple of (h\/4)\/(8\/(-64)) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2199 - 0.2199. What is the second biggest value in g, -0.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a + 82 = -71 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/22*(-156)\/78*8\/10. Let k = 1 - 0. What is the closest to 0 in 4\/7, k, p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*i**4 + 31*i**3*n + i**3 - 4*i**2*n - 60*i*n wrt i.\nAnswer: -96*i + 186*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -52 + 2*v + v**2 + 50 - 3*v. Let f be b(-8). Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 40*l**2 + 3*l + 4. What is g(-2)?\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w + 3*w**3)*(4 - 6 + 3)*(1674*w + 5610*w + 506*w + 3177*w + 1796*w) in the form c*w + v*w**4 + p*w**3 + k*w**2 + z and give v.\nAnswer: 38289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 9. Calculate the remainder when 68 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {x: 2, i: 1, u: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let o(s) = 3*s + 5. Let z = -7 - -10. Suppose z*y - 32 = 4*x, 0 = x + 5*y - 2 - 13. Let p be 8*(5\/(-2))\/x. Determine p*o(t) - 11*n(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.741794 and 1.\nAnswer: 0.258206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60246 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 1 - 27*b - 2*b**2 + 17*b. What is the units digit of z(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + y = -8748, 0 = -2*a + 4*y - 1528 + 19026. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, 1\/2, 187, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 at least as big as -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -16. Suppose -25 = -5*v, 3*h + 0*h + 2*v - 4 = 0. Let n(j) = 9*j**2 + 7*j - 4. Let k be n(h). Calculate the greatest common divisor of k and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in -0.1, 0.1, -23, 5, 85?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f02120 + -f?\nAnswer: 1f02111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91048.82ml in litres?\nAnswer: 91.04882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 181 = -1. Suppose 0 = r*y - 24*y - 24. What is the remainder when 33 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b (base 15) to base 12\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o + 133. Let r be d(-21). Let l(n) = -3 - 3*n**3 + 0*n**2 + 2*n + 5*n**2 + 5*n**3 - n**3. Let u be l(-4). Solve 13 = -u*h - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**2 + 17. Let f(j) be the second derivative of j**3\/3 - j. Let b be (-2)\/(-3)*6 + -1. Determine b*f(h) + 4*z(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*s + 22 = -24, -y - 3*s = 11 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 685907088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:57 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13047 (base 12) to base 11.\nAnswer: 18574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - q + 27, 4*d + 16 = 8*d - 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a - 146*a**3 - 16*a**2 - 2*a**4 - 21*a + 0 + 3 - 2 + 14*a**2 as b*a**4 + s*a**2 + g + t*a**3 + y*a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 173653423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/292 and -65\/4814.\nAnswer: 702844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36764, 36745, 36700, 36617, 36484, 36289, 36020?\n\"Answer: -2*i**3 - i**2 - 2*i + 36769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -984 divided by -246?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.21 - 4.21. Let l = -0.3 + 0.2. Which is the closest to l? (a) 4\/7 (b) h (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 375.5\nAnswer: -373.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 4 = 25*i. Suppose -5*d = 5*a - 40, -5*d + 14 = -i*a + 2. Suppose -y - 153 = -5*v, d*v - 27 = 3*v - y. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2278 in 0.04, 0.5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-274)\/1233*3\/(-2)*12. Let k(u) = -u**3 + u + 14. What is k(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277\/9 not equal to 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 14*w - 35. Determine v(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65345 and 1?\nAnswer: 65345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 9.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488370 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 3. Let i(o) = 13*o + 10*o**3 + 2*o**2 - 2*o**3 - 14*o. What are the prime factors of i(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 2. Let w be 18\/54*-15 - (-11 - -4). Solve 7 = -4*x - 9, w*x = -p*u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2087513 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Let t be (5 + m)*(0 + 1). What is the third derivative of 9*a**6 - a**2 - t*a**6 + 5*a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5725 + -5729. Suppose 4*f = 4*d + 67 - 11, 38 = 2*f - 4*d. Let m be f\/(-6) - 2\/4. Which is bigger: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4439 divided by 193\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - s = -29, 0 = -2*n - 4*s + 44. Calculate the common denominator of -79\/6 and (7\/(-12))\/(n\/(-112)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -6*x + 56 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - -12. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.33714 centuries in millennia?\nAnswer: 9.133714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 58*p. Let k(g) = -g**2. Calculate k(c(b)).\nAnswer: -3364*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 452 or 451?\nAnswer: 452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 - 4*f**4 + f**4)*(11*f - 17*f + 17 + 4*f).\nAnswer: 6*f**5 - 51*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*j = 2, 489 = 5*j + 499 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 25\/304 (c) 0 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -5\/27 (c) 2\/13 (d) 3\/4 (e) -7 (f) 3 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.62 + -0.62. Which is the closest to r? (a) -0.3 (b) -1\/6 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 19*n + 30. What is p(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2768748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.07144 or 206?\nAnswer: 3.07144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -6 (c) -0.4 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -328 + 333. Suppose -2*d + 14 = -5*k, -10*d + g*k + 2 = -14*d. Let t = -7 - -12. Solve -t*v - 12 = -d*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 8. Let q be p(-9). Calculate the greatest common factor of q and 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.38 + 0.03909.\nAnswer: -0.34091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 18. Let p = g + 5. Is 16 a factor of (3\/(-3))\/((-1)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 2 - 3) + (-3 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1153001 (base 6) in base 9?\nAnswer: -103401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 685*g - 6357. Give f(9).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 844 divided by 5\nAnswer: 844\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 351 (c) 2\/11 (d) -1\/6 (e) 5 (f) -5\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 68, 0, 3, 16, -2 in decreasing order.\nAnswer: 68, 16, 3, 0, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 8 = 3*c, c = -c - 3*x + 9. Solve 0 = -4*b - 4*k - 32, 5*b - c*k = -12 + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 87, 4, 2, -2\/13, -3\/8, 0.2 in descending order.\nAnswer: 87, 4, 2, 0.2, -2\/13, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 18. What is the remainder when 28 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 26*n**2 + n - 17. Calculate o(26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000250079 to seven decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4234, 4422, 4610, 4798, 4986, 5174?\nAnswer: 5362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 975*c + 6. Let u be x(2). Let k = u - 767. Let a = k - 600. Round a to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 126*n - 22. Let q be g(9). Let d be q\/(-32) + (-1)\/4. Let j = d + 44. Solve 0*f - 28 = -2*t - 4*f, 0 = -t - f + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Let s be 7128\/(-20412) - (-3)\/(54\/(-4)). Let k be (-164)\/(-52) + -1 - 2. What is the closest to 0 in s, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -10. Let s be 25 + c*2\/(-8). Let p = s + -8. What is the remainder when 52 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 273*p**2 - 1965*p + 2241.\nAnswer: -3*(p - 1)*(p + 9)*(p + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 2*l**2 + 2*l + 4. Let v be g(-2). Suppose 15*a = v*a + 4. Is (-1 + 81\/2)*(a - -18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 200 = 5*g, -2*n = -2*g - g - 127. Calculate the remainder when 1039 is divided by n.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30271 (base 8) to base 10\nAnswer: 12473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1456*t - 19875 - 14107 + 1950 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -47 - 3\/5*y**2 - 1\/5*y**3 + 24\/5*y. Factor m(z).\nAnswer: -3*(z - 2)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12104 and 266 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 8*y + 36 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 10*c**2 + 5*c. Let n be w(-5). Let g = n + -98. Solve 3*v - u - 14 = 0, -3*u = 3*v - g*u - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let t(m) = 5*m**2 + 5*m. Let g(s) = 5*o(s) - t(s). Let u(a) be the second derivative of a**3\/6 + a. Calculate u(g(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 54*x**3 - 32*x**3 + 116*x**3 - 11 to g + q*x**2 + y*x**3 + h*x and give y.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1) + -33 + 16. Let w(k) = -2*k - 13. Let g be w(a). Calculate the greatest common divisor of 18 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:33 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1474*i - 4561*i**2 - 732*i - 742*i.\nAnswer: -4561*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/95272 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 613*s**2 + 188*s**2 + 1164*s**2.\nAnswer: 1965*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b - 4. Let f be g(-4). Let h be ((-15)\/(-10))\/(3\/f). Let l be 1\/(-2)*2*-18. What is the highest common divisor of h and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50.46573151653 + -6670739.53418648347. Let s = u + 6670851. Let m = -61 + s. What is m rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -269 and -5320.\nAnswer: 1431080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = a - 2*b - 8, -5*a + 17 = b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 24 = 2*a - j, -2*j = -3*a + 23. Suppose a*l + 189 = 729. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130 divided by -26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116 + 802*p + 2*p**2 - 416*p - 383*p.\nAnswer: 2*p**2 + 3*p - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(-18)*(g*g**6)\/g**(-5))\/((g*g**(-2\/9)\/g*g*g*g**(-2\/17))\/(g**0\/g**(-1))) assuming g is positive.\nAnswer: g**(1735\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-50)*5*0. Let w be (1 - -2) + (k - -3) + -3. Solve j + w = -2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 2*h**2 - 2*h - 1. Let g be y(-1). Find the common denominator of 71\/6 + g + 2 and (-2 + (-12)\/(-5))*1025\/90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.1, -0.1, -3\/8, 993?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 4*f + 12. Let x be (8\/(-6))\/(2\/(-3)). Let z be (-1 - 2\/2)*x. Is f at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Suppose -g = -11*g + 50. What is the closest to 1 in g, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -537316\/11 or -48846?\nAnswer: -48846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f - 60. Let p be m(5). What is the second biggest value in -0.05, p, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3 + 6*g**2 + 12*g + 2. Factor b(r).\nAnswer: 3*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*s + 1 + 15*s - 3)*(21*s**2 - 3*s + 5 + 4*s + 3) as l*s + y*s**3 + z + w*s**2 and give l.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -663.9 - -648. Let f = i + 15.9024. Round f to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1895675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3015*m - 3633*m = 1705*m + 3438*m + 241962 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -240.9143 + 187.187. Let z = -0.0027 + o. What is z rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3*i + 11 = 0, -3*k + 3*i = -2*i + 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 41.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11901890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 7*x + 10. Let p be i(7). Let k be (-2 + 15\/6)*p. Solve -k*r - 13 = 4*q, -r = -q - 6*r - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 4244\/25 (c) 1\/8 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let x be h(-1). Suppose 90 = 2*b - 2*y - 0*y, -2*b - x*y + 90 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17671 at most 17710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*u - 9 = 0, 13 = -3*h - 0*h + 4*u. Calculate the remainder when (-316)\/(-12) + 1\/h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14336, -14335, -14334?\nAnswer: -14333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10963 + -10961. Solve 4\/3 + 2\/3*u**2 + v*u = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 8) to base 6\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from ojzznnjojajjwjjaj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.046 - -5828.2643.\nAnswer: 5828.3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2777*a**2 + 1190*a**2 - 3392*a**2 + 10258*a**2.\nAnswer: 10833*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -23. Solve -2*g = j - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -35*z - 3410. What is x(-100)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -66.149, -3\/7, 0, -0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2) + (-3 - -3 - -4). Let w(k) = -k. Let j(y) = 5*y - 2. What is d*j(c) + 4*w(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyhttthhsitfhst. What is prob of sequence yi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10200 (base 5) to base 11.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/10)\/(3*4\/(-28)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*n = 9893, -3*u + 3*n = -13175 + 3272. What are the prime factors of u?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 7*i**6\/36 + 3*i**5\/10 - 5*i**4\/24 - i**3\/2 - i**2\/6 - 2. Let w(j) = 0. What is j?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-5.3.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by -173.\nAnswer: -67\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**3 - 10*u + 10*u)*(0 + u + 1 - 5).\nAnswer: -9*u**4 + 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -201*p + 99 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 646505919 or 646505918?\nAnswer: 646505918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 7\/((-42)\/(-20)). Let j = -35 - -35.2. What is the biggest value in 4, j, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -20701*v**3 - 9*v**2 - 2. Let d = 15 + -13. Suppose d*f - 28 = 6*f. Let h be z(f). Round h to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*d = -22, -r - d - 4 - 6 = 0. Let l = r + 7. What is the third smallest value in l, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.501628 centuries to months.\nAnswer: 6601.9536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -801\/29764 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 525741586 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: Calculate the highest common factor of 110 and 20690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6790 divided by 174.\nAnswer: 3395\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c - 13*c**3 + 12 - 10 + 7 + 769*c**5 + 7*c**3 + 1 + 7*c**2 wrt c.\nAnswer: 46140*c**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2964 * -1.8.\nAnswer: 0.53352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100103143?\nAnswer: 7, 14300449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7323 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4728*t - 4723*t - 15 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r\/(((r*r*r**(-3\/8)*r*r)\/r*r*r)\/r))*r)\/(r**(1\/3)\/r))\/(r**(-2\/11)\/r**(2\/5)))**(4\/5) assuming r is positive.\nAnswer: r**(6433\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**24\/w*w**40)\/(w**(1\/8)\/w**(-3\/5)) assuming w is positive.\nAnswer: w**(2491\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 5 + 1 + (7 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(836\/(-133))*1\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (66\/(-8))\/(((-6)\/(-56))\/3). Let f be (-4983)\/d - (-4)\/(-7). Solve -4*h = f - 41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177.5 + 176.3. Which is smaller: 181 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/((((-12)\/(-23))\/(-4))\/((-21)\/(-14)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2 - 4. Let a be 10\/(-45)*3\/v. Factor 0 - 2\/3*b**3 + 1\/3*b**2 + 0*b + a*b**4.\nAnswer: b**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11685867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 621656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660, -2432, -5380, -9498, -14780, -21220?\nAnswer: -28812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + a - 3*a. Let g(p) be the third derivative of -p**4\/6 - 5*p**3\/6 + 5*p**2. Let c(z) = 21*z + 24. Let n(w) = 5*c(w) + 24*g(w). Determine n(j(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 22.7.\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14692*c**3*s - 456*c*s - 2*c - 430*s - 11512 wrt c?\nAnswer: -44076*c**2*s - 456*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 20 = 0, p = 5*x - 45 - 24. Suppose -x*l = -12*l - 228. What is the remainder when l is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 43. Calculate the remainder when 5 + -2*z*(-4 - -2) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2330 + 102?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4306, 17258, 38832, 69022, 107822, 155226?\n\"Answer: -r**3 + 4317*r**2 + 8*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**3\/3 + 7*p**2\/2 + 2. Let z be j(7). Solve 4*i + 2*b = i - 9, -5*i - 4*b - 17 = z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**5\/60 + 50*k**2. Let c(h) = 32*h. Calculate z(c(b)).\nAnswer: -1024*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.017 - 4.983. Let m(o) = 2*o**3 - 12*o**2 + 17*o - 6. Let y be m(4). Which is the fourth biggest value? (a) -7 (b) q (c) 1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 235*y - 919. Calculate r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0 - 8. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -13, -2 in descending order.\nAnswer: -2, -13, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-one halves of a millimeter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2036 and -2036 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a meter in centimeters?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 94*z.\nAnswer: 94*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 14*t**2 - 14*t - 5. Let v be i(15). Let k be 0\/2 - (8\/v)\/(-2). Which is greater: 27 or k?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1043328 and 127\/294.\nAnswer: 51123072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**6*p*p)\/((p*p**(6\/7))\/p)*(p*p**(6\/11)\/p)\/(p\/p**(2\/9)) assuming p is positive.\nAnswer: p**(6175\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.442 + 11.132. What is the third biggest value in 1, 5, -1\/7, o, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 183, 418, 747, 1170, 1687, 2298?\nAnswer: 3003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*v**3*x - 264469*v*x - 722236*x + 72 wrt v?\nAnswer: -45*v**2*x - 264469*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i + 9. Let d be u(-5). Let n = d - -20. Suppose -5*b = 5*w + 5, 0 = n*w - 2*w - 2*b - 18. Solve 4 + w = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.33 + -0.646. Let t = w - 0.284. What is the biggest value in t, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 945546 less than -2?\nAnswer: -945548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27754975 a multiple of 854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -544\/21 - 2\/21*k**2 + 48\/7*k.\nAnswer: -2*(k - 68)*(k - 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241212.78 rounded to the nearest one thousand?\nAnswer: -1241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 1, 3, -255 in decreasing order.\nAnswer: 6, 3, 2, 1, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9 + (54999 - 10) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**3 + v**2 + 39*v + 60. What is s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -115e + -4?\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4*1634834\nAnswer: 6539336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51, 125, 239, 399, 611, 881?\n\"Answer: u**3 + 14*u**2 + 25*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725*p - 1202*p + 852880 = -390*p + 10647*p for p.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 33232220310?\nAnswer: 33232220320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-14905.\nAnswer: 2981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 25. Let b(z) = -z**2 - 6*z. Give b(w(i)).\nAnswer: -i**4 + 56*i**2 - 775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.1 + -10. What is the closest to 2 in 0.5, u, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -6000.\nAnswer: -5998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1887916 and 228.\nAnswer: 5663748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*f - 66 = -3*u, -5*f = 5*u - 90. Suppose u = 4*s - 3*l, 5*s + 3 = -5*l - 7. Is 12 a factor of (19\/(-2))\/((-1)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:53 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15867157?\nAnswer: 15867157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 1236?\nAnswer: 8652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 3*u + 9, -o + 67 = -u + 66 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - k**2 - 2*k**2 + 11*k**2 to j*k + g + n*k**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7))**(-35)*t**(-1\/3)*t**(-3\/5)*((t*t\/(t\/((t\/(t\/(t**(-2)*t))*t)\/t*t)))\/t**(-6))\/((t\/(t\/(t**1*t)*t*t))\/(t**(-6)\/t)) assuming t is positive.\nAnswer: t**(-689\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10111547*y**2*z - 72048886*y**2 - 2*y - 27*z**3 with respect to z.\nAnswer: 10111547*y**2 - 81*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 534?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 29. Which is the nearest to -1? (a) 0 (b) -1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438394 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 8 + 3*c**2 + 18 + c**3 to d + x*c + l*c**3 + u*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {v: 1, i: 1, c: 1, q: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -15, -6, 21, 72, 153, 270?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 50*d. Let u = 1736593 + -19060753\/11. Let h = u + -3794. What is the common denominator of p(1) and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/2 - (-3 + 20\/8). Suppose p*b + 7199 = -3*t, b + 485 = t + 2894. Let c = t - -4974. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 + -28. Suppose 0 = -4*c - c - 5, o + 4*c = 8. Calculate the lowest common multiple of o and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 53*z**2 + 3049*z - 93. Determine h(-28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -685 bigger than -679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15657557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/12 - r**2. Let y(k) = k - 3. Let u(d) = 4*d - 13. Let j(w) = -6*u(w) + 26*y(w). Give o(j(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**3 + 3*g**2 - 7*g + 3. Let v be w(4). Let y = -787 + v. Solve -y*f - 11 + 7 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 913.4 + -913. Which is the biggest value? (a) -3 (b) z (c) 64\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 3*g - 28, g + o - 2 = 0. Suppose -2*z + g*a = -718, -9*a = -11*a + 4. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 2*a**3 - 4*a**3)*(-219*a**2 - 64383 + 64383).\nAnswer: 1314*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.297548 litres in millilitres?\nAnswer: 297.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 81. Solve 1 = -s*j + 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**7\/1050 + 17*h**6\/60 - 43*h**5\/25 + 259*h**4\/60 - 173*h**3\/30 - 39*h**2 + 4*h. Suppose j(u) = 0. Calculate u.\nAnswer: -173, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/((-24)\/6)*2\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -346 + 506. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25925 and 115.4.\nAnswer: -2991745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 95. What is the highest common divisor of o and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -280*c - 486. What is the hundreds digit of r(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 1\/3, -60\/13, 3\/14, 3?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147809631?\nAnswer: 3, 571, 86287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 - 5*l + 4. Give d(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213186315 to the nearest integer?\nAnswer: 14601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.3 - -13.221. Let o = -0.621 + j. Sort -5, o, -3.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 - -1568205381?\nAnswer: 1568205380.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.017 in -0.4, 3\/2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.04 - -7.04. Sort 1\/5, q, 7\/8 in ascending order.\nAnswer: 1\/5, 7\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -278aa - -124?\nAnswer: -27786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17968.6l?\nAnswer: 17968600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 640 + 22*c - 319 - 320. Let m(t) = -2*t**2. What is j(m(d))?\nAnswer: -44*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58881.81ml in litres?\nAnswer: 58.88181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence plpx when four letters picked without replacement from {u: 1, p: 4, f: 1, x: 2, l: 6, v: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1459171, 1459172, 1459173, 1459174?\n\"Answer: n + 1459170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131753233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/20*1 + 4*(-1)\/(-12)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7554 - 7552. Which is the third biggest value? (a) -0.3 (b) w (c) -0.0148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 203503397 and 0.2.\nAnswer: 40700679.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307 a factor of 2907630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/(-60) - (-2)\/5. Let b = 551654\/5 + -110330. What is the nearest to 6 in b, 1\/3, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - p**2 - p**2 + 11*p**2. Let u(v) = -v**2. What is u(k(m))?\nAnswer: -49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89317395?\nAnswer: 3, 5, 23, 86297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 122289083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaajaaaaaj. Give prob of picking 2 a.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3)\/m*(m*m\/m**7)\/m)\/(m**0*m)**(-49))**36)**(-8\/15) assuming m is positive.\nAnswer: m**(-3744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42684597 to the nearest integer?\nAnswer: 6533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 6416\/64 - (-10)\/(-8). Suppose -4*p + 360 = -36. Suppose -3*r**4 - 3*r**2 + 6*r**3 + p*r - b*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1344905*v**2 - 2952511*v?\nAnswer: -2689810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*c - 5*z, c + 3*c + 6 = -z. Let o = c + 2. Sort o, 3, 1\/3.\nAnswer: 1\/3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-7)\/(-9)) + (-15963)\/(-459). Suppose -56 = -42*h + g*h. Solve h*d = 7*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k + k. Suppose -k*c + 20 = 2*c. Let v(y) = -y**2 - 6*y + 5. Let w be v(-6). Sort w, c, -1 in ascending order.\nAnswer: -1, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 20 = 2*x, 5*x - 3*p = -p + 31. Suppose -3*j = 5*l - 25, 23 = 4*l + j + 3. What is the remainder when x is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*u - 2*b**4 - 5*b**3*u**2 - 27*b**2*u - 2*b + 2*u**2 wrt b?\nAnswer: 24*b*u - 48*b - 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 126*u**5 - u**2 - 18*u**2 + 5*u**2 - 38*u**3 + 174*u**4 = 0. What is u?\nAnswer: -2\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28889.00028932 - -28889. Round i to 6 dps.\nAnswer: -0.000289","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -17. Sort -7, 0, v in increasing order.\nAnswer: -7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204) - (sqrt(204) - sqrt(204)*1))*-3)\/(sqrt(300) - (5*(sqrt(300)*-2 - sqrt(300)) + sqrt(300) - sqrt(300) - sqrt(300))).\nAnswer: -6*sqrt(17)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 x, and 2 d when four letters picked without replacement from {d: 3, q: 1, b: 1, x: 5, t: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 23*v**5\/12 - 5*v**4\/24 - 245*v**3\/2 + 660*v**2. Differentiate t(o) wrt o.\nAnswer: 230*o - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 6\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 18503?\nAnswer: -18502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1761242494 divided by -11\nAnswer: 160112954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/13, 2\/5, 5, 2, 877\/6, -2\/15 in ascending order.\nAnswer: -4\/13, -2\/15, 2\/5, 2, 5, 877\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 3. Let y be l(-7). Suppose -4*w - 60 = 8. Let p = y - w. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 738 - 735. Calculate the greatest common factor of m and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 10 - 6 = 0. Let n = 21 - 9. Factor n*v - 2 - 2*v**2 + l - 15*v.\nAnswer: -(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -10\/9393?\nAnswer: -10\/9393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 22 = -w - 2*v, -118 = -3*w - 4*v. Suppose 0 = -3*i - 28 + w. Solve -i = 3*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -21*c**2 + 5*c + 5. Let b be l(-2). Let z = 100 + b. Solve 0 = -z*d + 7*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -387 - -384. Which is the third smallest value? (a) s (b) 74 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608280 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from klttgttyktyt.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 0)\/(3*1\/3). Let f = 9 - 13. Sort z, f, 9 in descending order.\nAnswer: 9, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -1\/10*m**4 - 3\/5*m**2 + 2\/5*m - 3 + 2\/5*m**3. Factor d(s).\nAnswer: -2*(s - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -0*j - 21. Suppose -j*i - 168 = -3*t - 0*t, -i + 184 = 3*t. Suppose -c = 2*c - 36. Calculate the greatest common factor of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2 + 32*a - 20. Let f(g) = 5*g**2 - 11*g + 7. Let b(i) = -17*f(i) - 6*o(i). Let p be b(-5). Solve -p = h + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6744?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 589353437\/330 - 1785922. Let y = n - 7\/66. Let v = 47\/20 + y. Put -5, v, -7 in decreasing order.\nAnswer: v, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 13 - 18 - 34 - 5*m - 3 to the form x*m + r and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037 take away -0.1?\nAnswer: -1036.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(192) + -1*sqrt(192) + 3)**2 + (4 + (sqrt(192) - sqrt(192)*1) + -3)**2)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, l: 2, u: 8, g: 1, w: 1}. What is prob of picking 2 u?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a minute in seconds?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 6)*(-2*v + 5 - 5)*(-2*v**3 - 3*v**3 + 0*v**3) in the form o*v**4 + f*v**3 + u + p*v + d*v**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**3)**23)**(-35) assuming x is positive.\nAnswer: x**(-3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101 - 94. Sort -3, k, -7 in decreasing order.\nAnswer: k, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/2 - 25168240*y - 63344030469760.\nAnswer: -5*(y + 5033648)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(90)*2)\/sqrt(3) - (2*sqrt(180))\/sqrt(6)))\/((sqrt(144)\/(sqrt(4)*-1))\/((sqrt(72)\/sqrt(4))\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + p**3 - p**3)*(-4*p + 2*p + 0*p) + 419*p**4 - 58350*p**2 + 58350*p**2.\nAnswer: 417*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (44\/8)\/((-1)\/(-106)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 296995.498 and 1862.4.\nAnswer: 298857.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 573 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-11) + (-6)\/(-33). Let z(s) = -3 + o*s**3 + 4 + 2*s**3. Let r be z(1). Which is bigger: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 258 + -71984\/279. Is v smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 957207 and 18?\nAnswer: 5743242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + (-347560)\/60. Let u = -1465 - d. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7046206 - 3082059 = -329*t. What are the prime factors of t?\nAnswer: 5, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*h + 1331 + 21589 = 0 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r + 5400 - 5680 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*t*w**3 + 2*t*w**2 - 2*t + 14*w**3 + 12*w**2 wrt w.\nAnswer: 72*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*g - 480. Let i be g\/2 + 3\/1. Suppose 2*n = -5*q + i, -3*n + 2*q + 3*q + 51 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -0.031, 3\/10, 1?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(18\/(-6))*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300\/17971 at least as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/7 + -21)*(-9)\/243?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/17 at least as big as 1472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 3:42 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 73*o + 9860. Give x(-135).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -29*l + 40. Suppose -6*u + 8 + 28 = 0. Let p(m) = 16*m - 20. Let c(o) = u*k(o) + 11*p(o). Let n(f) = -2*f. What is c(n(i))?\nAnswer: -4*i + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 8\/4) + 3. Factor t*z**5 - 8*z**4 - 8*z**3 - 3*z**3 + 17*z**3.\nAnswer: 2*z**3*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - 30 + 5*g**2 - 36 + 46*g**2 - 30*g**2 + 5*g**2 in the form n*g**2 + w*g + d and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-3 + -5.\nAnswer: -9*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31040834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 10*z + 14. Let y be i(11). Suppose p - 35 = y*r - 4*r, 3*p = 12. Suppose -26*t + r*t - 95 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640\/16 - -3*(-1)\/(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:06 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(320) + 2 + 0)**2 + 0.\nAnswer: 112*sqrt(5) + 369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -14*x + 18*x + 3, 0 = -12*d + x - 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 79714?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58875907 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - ((-11 - -10) + 0)) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -1\/2*j**3 + 0*j**2 + 36*j + 0. Let g(w) = 29*w**2. What is a(g(i))?\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -2\/3*c - 1\/9*c**3 + 1\/2*c**2 - 4. Factor l(z).\nAnswer: -(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -64. Let h(g) be the second derivative of 1\/4*g**y + 0*g**2 - g + 0 - 1\/6*g**3. Find the second derivative of h(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73928, -73852, -73716, -73520, -73264?\nAnswer: -72948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s - s)*(1 - 12 + 29 - 193778*s - 14 - 4) as z*s + q + i*s**2 and give i.\nAnswer: 193778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - 895*x**2 + 65*x - 67*x + 898*x**2 + 26*x**3 in the form w*x + h*x**2 + f*x**4 + r + c*x**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 1 (c) 5 (d) 2\/11 (e) 5.1 (f) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8))\/((-6)\/16). Let u(q) = 2*q**3 - 3*q**2 - 7*q + 10. Is 24 a factor of u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 35276*k**2 + 70549*k - 35274.\nAnswer: (k - 35274)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:15 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 4, k: 3, x: 1}. What is prob of picking 3 k?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, d: 5}. What is prob of sequence dd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.0635 rounded to 0 decimal places?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u - 5. Let s be j(-3). Which is greater: s or 1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/836783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 9*p**2 + 4*p - 11. Let d be q(9). Let o = 32 - d. Solve 4*w**3 + 4*w - w**2 + 3*w**2 - o*w**2 - 3*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22468582 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 445498*d**3*l**2*u + d**3*l - 16*d**3 + 180*l**2*u**2 - 64*l*u - 8514*u**2 wrt l.\nAnswer: 890996*d**3*u + 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 5:24 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.02 and 2603794.69?\nAnswer: 2603794.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-54)*225\/150.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(77) + -6*2*sqrt(77) - sqrt(77))\/(-1*sqrt(176)) - (-2 + sqrt(175)*2 + -3)))**2.\nAnswer: -2520*sqrt(7) + 13248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1734 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2373 + 2967. Calculate the highest common divisor of c and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1\/8, 0.2, 2\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 + 1\/(-1))*8. Suppose q = 2*i + 24. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4190018.\nAnswer: 2, 7, 299287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28665 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 68 = -f, -2*f + 141 = -y - 2*y. Let i = -55 + f. What is the remainder when i is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 6*p - 52, -p + 18 = -104*x + 106*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:46 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45299160 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5874 < 796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. What is the nearest to -1 in 1\/3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4562 - -8?\nAnswer: 456a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3072 and 121\/127200.\nAnswer: 4070400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11 = 17. Let m(n) = -g + 2*n - 3*n - 6*n. Let k(j) = 6*j + 6. Suppose 4*t + t = -p - 26, -13 = 2*t + 3*p. Give t*m(i) - 6*k(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**3 - 3*x**2 + 2. Let m be p(-1). Let y = 12 - m. Let f = -1 + 7. What is the lowest common multiple of f and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -185.91 + 38.21. What is r rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72216?\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/11? (a) -2\/19 (b) -40 (c) 1\/4 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28368820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 169 = d. Is d smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -59*n + 8. Does 7 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2431098987?\nAnswer: 3, 101, 8023429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.05 less than -68?\nAnswer: -61.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1125580 and 225116?\nAnswer: 1125580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1273, -10005, -33641, -79633, -155433?\n\"Answer: -1242*x**3 - 38*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (762\/(-1270))\/((-1)\/(-30)*-2). Solve 0 = -9*a + v - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 79370957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*u - 517 + 17 - 554 = 0 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.98 + -0.78. Let f = 17.2 - v. Which is smaller: 3\/7 or f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s. Suppose -4*x + x = s. Solve x = -2*c - 3*m - 13, 0 = 2*c + 2*c - 3*m - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323807?\nAnswer: 11, 29437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226 - 78. What is the remainder when o is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nggn when four letters picked without replacement from gmnwndnwggmpmmwmmnmw.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 276193 and 856397.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147*i**4 - 77*i + 1?\nAnswer: -1764*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -9*g**4 - 3962973*g**3 - 5283864*g**2 + 36987588*g - 21135792 = 0.\nAnswer: -440329, -4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from nhhhhhjhjhuyuj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 49. Let o(f) be the second derivative of 0*f**2 - 1\/54*f**4 + t - 2*f + 1\/90*f**5 + 0*f**3. Determine h, given that o(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, 70, 71, 72, 73, 74?\n\"Answer: g + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:17 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c\/(c\/(c**(-17)\/c*c)))\/c**(-1\/11))\/((c*c*(c*c**15)\/c*c)\/c**(-7)) assuming c is positive.\nAnswer: c**(-428\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15ba041 (base 12) in base 2?\nAnswer: 10001000100101010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a = 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -1) + -144 + 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 159, -1 in ascending order.\nAnswer: -36, -1, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*7\/(-14)*8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12821 is divided by 101?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 1\/462 in descending order.\nAnswer: 5, 2, 1\/462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*i**3 - 3 + (4*i**2 - 4*i**2 + i**2)*(3 - 3 + i) - 9*i**3 + 0*i**3 + 7*i**3 to z + g*i + b*i**2 + l*i**3 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -18*v + 5028. What are the prime factors of v?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -24089 + 4369. Suppose 0 = -4*x + o - 549. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 6*f = 44. Suppose f*t - 12 + 2 = -5*s, 3 = -t - 4*s. Solve 5 = 5*g, -16 = -t*q - 3*g + 2*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 57 + -10 + -61.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 - 4)*(4*r + 29 - 29)*(-4 + 1 + 1)*(3 - 1 + 1)*(4*r**4 - r**4 - r**4).\nAnswer: 720*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2550, -0.1, 3\/5 in ascending order.\nAnswer: -2550, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.7 + -30.7. Let r = p - -4. Which is the nearest to -1? (a) -2\/7 (b) r (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 < 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2250+90424\nAnswer: 88174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (1 - 21\/15)\/((-192)\/(-9840)).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 3*q + q)*(0 + 4*q + 0)*(9*q + 7*q + 0*q).\nAnswer: 704*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -5*s**4\/4 - 45*s**3 - 50*s**2 + 780*s - 8149. Factor f(o).\nAnswer: -5*(o - 2)*(o + 3)*(o + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 23*d**2 + d + 1. Give f(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.11 from 61.380068.\nAnswer: 61.270068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 527559\/1 - (12 + -9). Let h = y + -1117556. Round h to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -32*l**2 + 45 - 18*l**2 + 48*l**2. Let k(f) = -2*f**2. Give u(k(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 - 2*j + 2. Let o(h) = -h**3 - 8*h**2 - 2*h - 6. Let z be o(-8). Suppose 0*u + 5*u - z = 0. What is the units digit of t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7756522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4950*a**3 - 5070*a**2 - 1328*a\/11 - 8\/11.\nAnswer: -2*(a + 1)*(165*a + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t + 1. Let b be k(-3). Let w = 93 + -92. Let j be (24\/15)\/(((-2)\/(-5))\/w). Solve -j*n - 4*i = -16, i + 3*i = -2*n + b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 77*b**3 - 33 - 20.\nAnswer: 77*b**3 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + 4.18. Let p = 8.2 - q. Which is smaller: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*i*j**2*k + 18*i*j**2 + 2*i*j + 2*i*k + 2*j*k - 1449*k - 3 wrt j?\nAnswer: 68*i*j*k + 36*i*j + 2*i + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6835736.\nAnswer: 2, 854467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -715*x + 720*x - 45. Calculate the highest common divisor of x and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395826114.\nAnswer: 2, 3, 3217, 20507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5270 + -31535\/6. Suppose 15*d - 10*d = 100. Find the common denominator of p and 25\/(-30)*(316\/d)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.994 and -0.087587.\nAnswer: 0.087061478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7673 = -9*g - 2893. What is g rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**2 - 3*n - 3. Let d(u) = 21*u**2 + 6*u + 6. Let p(a) = 6*d(a) + 11*g(a). What is the remainder when 30 is divided by p(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*k - 334*a + 341*a, -1 = 3*k + 4*a - 9 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 165278 less than 13?\nAnswer: -165265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - (-2 + 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2189773 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/13, -1\/10, -1\/6, -4, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 16. Does 23 divide (114\/h)\/(2\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 + 8*g**2 - 6*g - 3. Let u be y(-7). Let f = -13749\/23 - u. Which is the biggest value? (a) f (b) -2 (c) -1 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-27))\/((-97)\/9021)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-5))\/(60\/150))\/((-9)\/(-66))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 640 - 640.0591. Let j = q + -0.0003. Round j to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**2*x**3 - j**2*x**2 + 2*j**2*x + 81*j**2 - 27*j*x**5 + j*x**3 wrt x?\nAnswer: -6*j**2 - 1620*j*x**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 89864*m - 89854*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -2)\/(0 + 5\/(-10)). Let g be 1\/(((-6)\/54)\/(x\/(-6))). Suppose -5*p - 3*f = -328, -p - 152 = -g*p + 4*f. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/((f**6\/f)\/f)*f)\/f)\/f)\/(f*f\/(f\/(f*f*f*f*f**(-2)))))**16\/((f\/f**(1\/2))**8*(f**(2\/3))**33) assuming f is positive.\nAnswer: f**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q = 44*q + 42. Let c(r) = 13*r - 87. Let m be c(q). Let t = 60 + -20. Calculate the greatest common factor of t and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuahaahuaauhah. Give prob of picking 2 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**7\/2 + 12*v**6\/5 + 69*v**5\/20 - 6*v**4 - 8*v**3 - v - 20. Solve u(n) = 0 for n.\nAnswer: -1, -4\/7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4335 and 7803?\nAnswer: 39015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-262157)\/26250 + -22 + 32 and -187\/60?\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -104, -147, -172, -173, -144?\n\"Answer: r**3 - 62*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3)\/(-6)*0 + 3155. Suppose -5*f + v = -s - 3*s, -f = 5*s - 631. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 7*b**2 + 1. Let c be r(7). Let l(v) = -4*v + 9. Let z(d) = -d + 1. Let g(y) = -l(y) + 3*z(y). Let x be g(6). Which is bigger: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 > 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 71 = 5*c, -2*c + 5*p + 32 = 3*p. Let s = 19 + -16. Suppose -5*o - c = 0, 5*x + 7*o = s*o + 1248. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21758.\nAnswer: 2, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6 - 3. Solve 3*x + d = 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/12 + -3 + 3. Let u = -2\/25 + -44\/75. Suppose 5*b + 0*b = -4*w - 45, -4*w - 40 = 4*b. What is the smallest value in u, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*g + 108, -g = 4*w - 0*w - 93. Suppose -2*a - 5*n + w = 0, -2*a = 3*a + 4*n - 26. Solve 0 = a*z + z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7818 - -7818.000047776. Round p to 6 decimal places.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 3) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10571 + -10571.05. What is the biggest value in -4, 0, 0.3, -4\/3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 y when two letters picked without replacement from {r: 7, e: 4, d: 2, y: 1, n: 6}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*q + v, 2*q = -0*q - 5*v + 30. Suppose -5 + 20 = q*p. What is the units digit of ((-12)\/8)\/p*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 9280?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -82240, -164430, -246668, -328978, -411384?\n\"Answer: -4*x**3 - 82162*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/1278*480\/(-35). Let q = 7411\/2982 + s. Find the common denominator of ((-6)\/(-15))\/((-56)\/(-850)) and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4\/3 + 1690*i**3\/3 + 830*i**2\/3 - 5920*i\/3 - 1688 = 0.\nAnswer: -422, -3\/2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0306 + -47.7694. Let b = r - -48.017. What is b rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668 - 618 = -5*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769445?\nAnswer: 3, 5, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 3\/17, -0.5, 156?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**(-2\/9))**34*h**(-2\/17)*h**(-1\/4))\/((h**(1\/2))**(-39)*(h**(-4\/3)\/h)\/(h\/((h\/(h\/(h\/(h*(h*(h**3*h)\/h)\/h))*h))\/h))) assuming h is positive.\nAnswer: h**(74609\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from qtqqsgs.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let w(y) = y**u - 5*y + 3*y + 1 + 6*y**2. List the prime factors of w(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39\/62 - 4\/31. Let b(m) be the second derivative of -m + 0 + 1\/3*m**3 + q*m**2 + 1\/12*m**4. Factor b(l).\nAnswer: (l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 399620 * 0.5\nAnswer: 199810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/8)\/(8\/((-10)\/5))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/75 and -187\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71060, 71058, 71056, 71054, 71052, 71050?\n\"Answer: -2*u + 71062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(39)\/sqrt(3) + 3) - (sqrt(13) - (-2 + (sqrt(13) - sqrt(325))))) + sqrt(468)*-3 + (-2*sqrt(91) - sqrt(91))\/sqrt(7))*-6)**2*-2.\nAnswer: -634536 - 18720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 144 + 1. What is the highest common divisor of z and 899?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1428*v**2. Let p(i) = -2*i. Give b(p(t)).\nAnswer: -5712*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 5*u**2 + 4*u + 4. Calculate c(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13301300220 (base 4) in base 2?\nAnswer: -111110001110000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293 greater than or equal to 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((2 + 4 + sqrt(288) + sqrt(288) - sqrt(288)) + -4 + sqrt(288) + 1))**2*6.\nAnswer: 3456*sqrt(2) + 27864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, q: 2, e: 7, z: 1, n: 2}. Give prob of picking 1 e and 1 q.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, -46, -240, -646, -1336, -2382, -3856?\n\"Answer: -12*y**3 + 2*y**2 + 24*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10695522 to the power of 1\/2, to the nearest integer?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, m: 1, r: 11}. Give prob of sequence rf.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278.4*-493.\nAnswer: 137251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -84 + 89. Let u(h) = 5*h**3 - 1. Suppose 4*j + 0 = 4. Calculate the remainder when t is divided by u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122584 and 4031342?\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1208680 and 3520?\nAnswer: 9669440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -1\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*a - 14. Sort 0, 5, a.\nAnswer: 0, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*r + 3*x - 5, 12 = -4*x. Let u = 1 - 2. Let z = u - 0. Are z and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -1. Let t = -13.9 + b. Sort 1, t, 2\/9 in increasing order.\nAnswer: t, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 5*b - 1. Let a be w(3). Suppose -4*s + 4*y + 4 = 0, s - 18 = -a*y + 1. Solve -s*k = -k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 114 = 20*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*f + 127 = -181, d + 4*f = 68. Solve d*b + 35 = 69*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35898 is divided by 3851?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*l + 414 = 0, -5*c + 0*c = -l - 412. Let g = c + -58. Find u such that 24*u + 23 + g - 11 + 4*u**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252*j - 1362*j = 1760 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 - 10*i**2 + 0*i + 1\/30*i**5 + 0*i**3 + 0*i**4. Let c(v) = 21*v**2. Determine x(c(w)).\nAnswer: 882*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1791*q**4 + 416*q**3 - 66*q + 420*q**3 - 5 - 836*q**3 + 7 wrt q.\nAnswer: -21492*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2875 and 2783?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)*1)\/sqrt(2)*1 - -2*(1 + sqrt(35)\/sqrt(5)).\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 3. Let k be q(-3). Suppose 2*p + 5*w = 83 - k, 0 = -4*p - 2*w + 132. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48577284 by -28.\nAnswer: 1734903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/9))**(-2\/39)\/(n**(-17)*n*n*n**(14\/9)*n))**(6\/13) assuming n is positive.\nAnswer: n**(8720\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 506705 to the nearest one thousand.\nAnswer: 507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*h**2*r - 2*h**2 - 2*h*r + 37*r wrt h.\nAnswer: 106*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(77 - 12) - 1\/5. Suppose -2 = -4*n - x, -4*n + 10 = 5*x - 0. Suppose 2*k + 2*k = n. Solve k = -g*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -41*r**8\/560 - 39*r**7\/350 + r**6\/100 + 80*r**2. Determine y, given that z(y) = 0.\nAnswer: -1, 0, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -415?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/12*12\/(-8))\/(25\/10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -22*1*1. Suppose -5 + g = 4*b. Suppose -3*w = -5*j - 4, 0 = w - 6*j + 3*j. Calculate the smallest common multiple of b and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -5 (b) -0.5 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 2847, 1\/6, 258 in decreasing order.\nAnswer: 2847, 258, 1\/6, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 27*r**5 - 347268*r**4 - 5986635*r**3 - 27043080*r**2 - 36318252*r - 6800112 = 0.\nAnswer: -11, -4, -2, -2\/9, 12879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685091476 to the power of 1\/2, to the nearest integer?\nAnswer: 26174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*p + 34*p - 76*p + (6 - 2*p - 2 - 3)*(1 - 1 - 2).\nAnswer: -82*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45 and 0.20561661.\nAnswer: 9.25274745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 178?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3625 or 648672\/179?\nAnswer: 648672\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 = 16*c - 242. What is the third derivative of -28*q**2 - c*q**4 + 88 - 88 wrt q?\nAnswer: -816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 + 3*p**2 - 103*p**4 + 105*p**4 - 5*p**2 in the form f*p**2 + b + v*p + z*p**4 + s*p**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/4140 and -11\/2484?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 0 + -1 + 0 + (15 - 7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3918.496 + -3880. What is j rounded to zero dps?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + g - 14, 4*n + 8 = 5*n + g. Let k be ((-2)\/4)\/(n\/(-180)). Suppose 2*t = k + 78. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = 4*p. Let x(y) = 6*y. Let i(n) = -7*n. Calculate p*i(g) - 4*x(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 + t - 8. Suppose 0 = 2*q - 3*j + 5, 10 = -2*q - j + 1. Calculate y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000101000001 + -111101011111110?\nAnswer: -1100110000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5*i + 26 = -5*c, -4*i - 12 = 4*c - 2*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -24*o + 8. Let b(g) = 16*g - 5. Suppose -5*p + 4*m - 5 = 0, p + 5*m = -4*p - 50. Let u(z) = p*y(z) - 8*b(z). Let j(f) = 3*f. Calculate j(u(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 600637754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6059, -11439, -16805, -22151, -27471, -32759, -38009?\n\"Answer: l**3 + l**2 - 5390*l - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f - 32 + 3*f + 120*f**3 + 3*f**4 - 214*f**3 + 96*f**3 to b*f**2 + c*f**4 + d + t*f**3 + x*f and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16e5 + 16?\nAnswer: 170b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191133772.\nAnswer: 2, 23, 47, 44203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33622 (base 7) to base 5\nAnswer: 233132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 1\/42*v**7 + 0 + 0*v**5 + 40*v - 19\/30*v**6 + 1\/2*v**3 + 0*v**2 - 19\/12*v**4. Find the third derivative of z(k) wrt k.\nAnswer: 60*k**2 - 456*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 0, -2, 1 in descending order.\nAnswer: 1, 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y. Let z(w) = -21*w + 1. Let i be z(-3). Suppose 0 = 4*g - i - 16. Let t(s) = 2*s**2 - 20*s + g*s. Determine t(j(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 + -a?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1.65.\nAnswer: 0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 - 30*o**2 + 90*o + 335. What is the ten thousands digit of b(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14381*c - 354085 = -5*n + 14376*c, -141679 = -2*n + 3*c. List the prime factors of n.\nAnswer: 2, 7, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-10) - (-429)\/6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wllw when four letters picked without replacement from wwlwlwwwwwlllw.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-53)\/(-3)*2)\/(((-12)\/(-10))\/(33021\/(-18345)))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 113620628 + -6\nAnswer: 113620622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 21 + 9. Let j be ((-9)\/6)\/(s\/(-8)). Suppose 3*t - 65 = 3*x - j*x, -2*x = -t + 15. Solve -l = z - 8, 5*l - 2 = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28517900395 + 9\nAnswer: -28517900386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -44, -153, -368, -725, -1260, -2009, -3008?\n\"Answer: -6*w**3 + w**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 88*p**2 - 494*p - 167. Let i be f(-82). Let s(j) = -j**3 + 3*j**2 + 7*j - 16. Calculate s(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/4) - 0. Let k be (-5 + -3)\/(-4) - 0. Find the third derivative of -4*n**o + n**3 + 2*n**2 - k*n**3 wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 6*h**2 - 11*h - 4. Let z be j(-7). Suppose -4 + z = 5*l. Suppose l = -4*s - 0. Let x(w) = -w**2 - w. What is x(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(14\/7*(-14)\/8372*-23)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*z - z**3 - 12 - 74*z**4 + 13*z + 39*z**4 + 31*z**4 - 22*z as a + m*z**2 + l*z + i*z**3 + c*z**4 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1039810241*r**3*t**2 - r**3 + 2*r**2*t**2 - 126*r**2*t - 2*r**2 - 3*r*t + 2109*t**2 + t wrt r.\nAnswer: -6238861446*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 180 = 5*w, 0 = 3*m + 9*w - 8*w - 104. Let a(s) = -m*s + 34*s + 0*s**2 - 7*s**2. Let i(x) = 2*x**2 + 4*x - 4*x. Determine a(i(d)).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q = -12*q + 21*q - 783 + 3631 for q.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21375504 and -333595.3.\nAnswer: 21041908.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 24. Let v be q(3). Suppose 332 = v*y - 5*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, 3, 1628, -3, -10 in ascending order.\nAnswer: -10, -3, -2, 3, 13, 1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.6584 decades to years.\nAnswer: 976.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = -0. Let j be n\/3*6\/(-9). What is the closest to -0.1 in 4\/9, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1913959*m**2*o - 2*m**2 + 2*m*o + 25802*m + 6*o - 1 wrt m?\nAnswer: -3827918*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 228, 465, 702?\n\"Answer: 237*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (3 - 0))*(4 + -4). Solve -30 = -2*g - 4*v, q = v - 4*v + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1241.79 and -20.\nAnswer: -24835.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20038 + -20016. Suppose -3 = -2*f - 5, 5*y = f + 91. Calculate the least common multiple of y and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 860375658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 987944669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 10 = -3*v. Find the third derivative of 5*k**4 - 5*k**4 - 6*k**2 - k**v + 9*k**2 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Suppose g = -r*m - 1, -2 = -0*m + m. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2223233 + -1230?\nAnswer: -2231123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + r**2 + 1. Let c(w) = 6*w**3 + 5*w**2 - w + 6. Give -c(k) + 5*x(k).\nAnswer: -k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/28589 and 61\/8602.\nAnswer: 972026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 554 or 616?\nAnswer: 554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 4\/3*c**3 + 0*c**4 + 0*c + 4\/7*c**7 + 0*c**5 + 0*c**2 + 0*c**6 + 2. Find the third derivative of j(g) wrt g.\nAnswer: 480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 28 = 3*g, -4 = 2*c - 0. Let t = 11 + g. Suppose 5*l + t = -3*u, 0 = 5*l - 2*u + 9 - 29. Calculate the highest common divisor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 2156*s - 346749. Calculate h(-175).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000272728393 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**4)**(8\/17))**(-2\/27) assuming j is positive.\nAnswer: j**(-80\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -20 - (0 + (0 - -3) + -11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11 + 5)*(-4)\/(-6). Let w = 14 - j. Let f = w + -6. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-4*j - 3*j + 5*j)*(0 - 3 + 1 + j)*(-169*j + 39*j + 56*j).\nAnswer: -148*j**3 + 296*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 210483*g\/4 + 7359555\/2.\nAnswer: 3*(g - 70091)*(g - 70)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 1687*p**5\/5 - 1347*p - 2190. Differentiate h(m) with respect to m.\nAnswer: 6748*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14169*c + 12182?\nAnswer: 14169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63523 (base 8) to base 16.\nAnswer: 6753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 210*q - 578. What is the units digit of u(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1237 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -21\/260, 0.04, 3, -5, -3?\nAnswer: -21\/260","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18)*-2*(-6)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4023 - -0.5?\nAnswer: -4022.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3.3. Let g = 106076 + -106071. Sort 1, 2\/11, b, g in ascending order.\nAnswer: b, 2\/11, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*h - 7*h - 4*s, -15 = -3*h + 3*s. What is the remainder when h is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17671067 to the nearest integer?\nAnswer: 4204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -735689856*l**6*v**3 + 192418*l**2*v + 1119*v**3 wrt l.\nAnswer: -88282782720*l**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x**2 + 2*x**2 - x**2)*(660 + 122 + 503)*(-x + 1 - 1) + 2*x - x**3 - 2*x in the form r*x**2 + b + h*x + k*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 43 + 55 = 5*n + 123, -2*y = -16*n - 28 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, k: 4}. Give prob of picking 2 k and 1 g.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17659, 18388, 19603, 21304, 23491, 26164?\nAnswer: 29323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2027289 to the nearest ten thousand.\nAnswer: -2030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3839, -3848, -3863, -3884, -3911, -3944, -3983?\n\"Answer: -3*u**2 - 3836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 1\/18*s**6 + 2\/9*s**3 + 1 - 1\/3*s - 1\/15*s**5 - 1\/6*s**4 + 1\/6*s**2. Determine v so that m(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 2. What is the remainder when 23 is divided by l(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -9. Let k = j - 3. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 19. Suppose q - 21 = -i. Let r = -743 + 743. Solve r*p - q = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*j**2 + 0 - 4\/7*j**5 + 4\/7*j**3 + 0*j**4 + 0*j = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425697 to the power of 1\/2, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 431231 and 177?\nAnswer: 1293693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -81 + 32 + -54.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.009, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 20*o**2 - 92*o - 1051. Let z be a(-22). Let g be 34\/(-10) - (-4)\/10. Sort z, -1, g, 212 in ascending order.\nAnswer: g, -1, z, 212","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2652 equal to -2652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 88. Let h be m(-20). Is 40912\/h*(-1)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1424184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106082, -106071, -106054, -106031?\nAnswer: -106002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250\/3 - 4256\/51. Let z be -9 - 1 - (-61 + 52). Which is the closest to z? (a) -7\/3 (b) -5 (c) -0.4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 155*j + 250. Does 2 divide i(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27816.5 - 27816. Let n = 13 + -6. What is the closest to 0.1 in 1, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25601\/3555 + -1\/711. Find the common denominator of -5\/68 and w.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -393*f**3*k*u**2 + 2*f**2*u**2 - 13*f*u**2 + 16*k*u wrt f?\nAnswer: -2358*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/531 and 11\/2419?\nAnswer: 21771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -32362*a**3 + 2*a**2 + 13*a - 23. Let g be w(7). Round g to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8563616.1ns in hours?\nAnswer: 0.00000237878225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 12 + 35 + 18.\nAnswer: 2*i + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 3*y**2 - 2*y + 2. Let m be c(-3). Suppose 3*o + m = 17. What is the derivative of 0*l + 3*l**o - 2 - 4*l**3 + 0*l wrt l?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 + 15450*d**2 - 674795*d - 3759600 = 0. What is d?\nAnswer: -3133, -5, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -65414?\nAnswer: -65410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9)*(8 + 1). Suppose 2*s - 8*g + 6*g = -14, -s + 2*g = 10. What is the closest to 0.1 in 2\/15, s, o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.009, 0.136 in decreasing order.\nAnswer: 0.2, 0.136, 0.009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 - 37112*c\/5 - 148768.\nAnswer: 4*(c - 9298)*(c + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-21)\/(-9))\/(3\/(-9)). Let n(y) = -6*y - 17. Suppose -29 = -3*u - g, 2*u - 16 = -g + 2*g. What is the remainder when n(m) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from hmhhhhhhhhhhhhmhhhhh?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v + 2. Suppose -4*u = -u - 9. What is the remainder when o(-2) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 73\/((9\/825)\/3). Suppose -n = -3*f + 29125. Suppose s + s = f. What is s rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quffnffqffqfdqbnb. What is prob of sequence nbfn?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29958*h - 1512 = -29922*h for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2 = -u. Suppose -6*v = -3*v - 3. Suppose -k = 5*h - 4*k - 26, -2*k - 12 = -2*h. Sort h, v, u in decreasing order.\nAnswer: h, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129762124.\nAnswer: 2, 782440531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -4, -7, 0.9, -175\/11?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnexpdxen. What is prob of picking 2 e and 1 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/68 + 240\/(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 2*d, 0 = -5*o + d. Calculate the remainder when (-1482)\/95*(-5)\/2 is divided by 20\/(1\/1) - o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5880 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 2*p + 3. Let w be x(6). Let l be 6\/21 - (-12270)\/w. Is 3\/(-9) + l\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9556 divided by 2389?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -2. Let z(t) = -2*t - 6. Let j be z(-5). Factor -j*o**4 - k*o**5 + 0*o**5 + 6*o**4.\nAnswer: -2*o**4*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 131203301?\nAnswer: -131203230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 11\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683909, -683908, -683907, -683906, -683905?\nAnswer: -683904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 14 - 4*v**4 + 6 + (0 - 2*v + 0)*(-v**3 + 2*v**3 - 3*v**3) + v**4 + 4*v - 4*v.\nAnswer: v**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-31)*b*b*b\/(b*b**(-5\/2)*b))\/((b\/b**(-1\/3))\/((b\/b**(8\/7))\/b)) assuming b is positive.\nAnswer: b**(-1259\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -17*z + 21*z + 20, 0 = 4*z - 5*t + 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (663\/(-306))\/(((-4)\/(-4))\/(-30))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78, -161, -244?\n\"Answer: -83*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*w - 61*w = 1920. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -106 and 0.05.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2883442?\nAnswer: 2, 1441721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by -21*(75\/(-105) + 2\/(-7))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105195 is divided by 442.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*f - 110*f + 537 = -631 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*x = -431*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 9\/(-6)*-2. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 242\/43 - -5\/129. Suppose -254*q + 18*q - 235 = -1887. Is q < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1430 = k + 2*z, -k = -2*z + 356. Let n = k + 519. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = 2. Let l be c\/(12\/(-9))*4. Suppose -5*p + 20 = -l*p. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.1 (b) 2 (c) 0.01 (d) -11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3742996 and 3743135 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = -2*y - 2*p, 5*y + 2*p = 10. Solve 4*u + 35 = -5*h, y = -3*u - 3*h - 5 - 19 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1264 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 532274 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2249133029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((((sqrt(78) + sqrt(78)*1 - sqrt(78))*-3 + sqrt(78))\/sqrt(6))**2 - ((sqrt(104)*2*5)\/sqrt(8))**2).\nAnswer: 6240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164747 and 6358.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599050 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1185*n + 117 - 235 + 118)*(-n + 2*n - 2*n)*(-1 + 2 - 2).\nAnswer: -1185*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5245 = 17627. Let a = o + 10543. What are the prime factors of (8\/14)\/(46\/a)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-24)\/(-5))*135\/150.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*g + 5*g - 13, 0 = 4*h - g - 16. Suppose -36 - 11 = -2*a + 5*p, h*a - 68 = -4*p. Calculate the highest common divisor of 48 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 5*h. Let v(g) = 10*g**2 + 2021*g. What is v(d) - 3*y(d)?\nAnswer: d**2 + 2006*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 5. Let v be r(5). Let u be (v\/4)\/5*2. Let m(l) = -2*l**3 - 3*l**2 - 4*l - 7. Calculate the remainder when 125 is divided by m(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61857, 123484, 184639, 245088, 304597?\nAnswer: 362932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 57 - 3 = 0. Solve -4*j = j + d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2787.\nAnswer: 1\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -6\/11, 261891, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.238462 grams?\nAnswer: 9238462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h - 11. Let z be (-9)\/(-2)*4*(-3)\/9. Let o be q(z). Let g = o - -1. Is g a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 24 = -4*c, -5*m - 11 = 4*c + 10. Let q = 27\/7 - 114\/35. What is the third smallest value in q, -3\/2, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -155*s + 52. Let f(d) = -12 + 23 - 16 + 31 - 60*d - 18*d. Let b(q) = -5*f(q) + 3*o(q). What is the first derivative of b(n) wrt n?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 3*s)*(-3*s - 2*s + 4*s) - 3*s**2 + 3*s**2 + s**2 + 0*s - s**2 + 0*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*m**2 - 207*m**2 + 593*m**3 - 96*m**2 wrt m.\nAnswer: 3558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**3*u**3 + a**3*u - 9*a**3 - 141*a**2*u - 11*a*u**3 - 36*a*u**2 + u wrt u?\nAnswer: -66*a**3*u - 66*a*u - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2070*n - 3560*n = 65560 for n.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/15, 0, -1294?\nAnswer: -1294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799, -800, -801, -802, -803?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 7434.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -u - 25, 3*c + 125 = -u - 4*u. Find the common denominator of -13\/3 and 21\/7 + u\/(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v + 48. Let c = 20 + v. Let b(y) = y - 1. What is the units digit of b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let t(i) = -2. Let x(v) = -4*v + 52. Let m(z) = -24*t(z) - x(z). Calculate -7*j(q) - 2*m(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39907\/(-55) - (-6)\/(-10). Let c = 725 + i. Calculate the common denominator of c and (20 + -5)*(-2 + (-136)\/(-54)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -14. What is the third derivative of -2*h**w - 9*h**4 + 9*h**4 - 3*h**2 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/9)\/(2\/(-462)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -506b84 + -8?\nAnswer: -506b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 143\/6, -0.13, -2, -1\/6, 8, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6826 is divided by 6\/5 + 24568\/1660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - ((-1470)\/(-25) + -6)*-4*35 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64979 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/126048 and -23\/378144.\nAnswer: 378144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaffonat. What is prob of picking 2 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17404 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 - 26 - 25)*(-d**3 + 3*d**3 - 7*d**3) - d**3 + 0*d**3 - d**3 + (-2*d - 4*d + 4*d)*(-4*d + 4*d - 2*d**2) - d**3 - 3*d**3 + 5*d**3.\nAnswer: -257*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*v + 57 = -60, 51 = 3*c + 3*v. Suppose 34*s - c*s + 2600 = 0. What is s rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert fe (base 16) to base 5.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 6*z**5 - 12 + 3*z**5 + z - z + (z**4 - 3*z + 3*z)*(6*z - 2*z - 3*z).\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 397180 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-33))\/(1\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7667 divided by -11?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*s**5 - 4530*s**4*w**3 - s**2*w**3 - 3*s**2 - 16*s + 14*w**3 wrt s.\nAnswer: 360*s**2 - 108720*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 63615000 to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 42.8. What is the closest to 1 in 2\/9, 3, c?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0546 + 0.2454. What is the third smallest value in 3, j, 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4) + 2 + 1 + (0 + sqrt(128))*5.\nAnswer: 3 + 41*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176296 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.18, -7, -0.3, 2\/11, -5.\nAnswer: -7, -5, -0.3, 0.18, 2\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872012 divided by 718003?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1346, 1344, 1342?\n\"Answer: -2*a + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3968\/(-2480)*(-5)\/48.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxt when four letters picked without replacement from txxxxxt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 10. Factor -p - 2*o**3 + 12*o - 2*o**3 - 3.\nAnswer: -4*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 2. Let q(n) = -n - 1. Let j(l) = l**3 + 6*l**2 - 9*l - 9. Let w be j(-7). What is w*v(t) + 8*q(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11141, 18407, 25673, 32939?\n\"Answer: 7266*s + 3875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t + 2*t)*(3*t - 2*t + 0*t) + 4*t**2 - 5*t**2 + 3*t**2 + 2*t - 2*t + 3*t**2 + (199*t + 64 - 64)*(4*t - 5*t + 0*t) as i*t + r + q*t**2 and give q.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1029106 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from iaayaakaykbiabaabtia?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1382 or 125862\/91?\nAnswer: 1382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-7 - (-7 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 - (6 + -3 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -5.6. Let t = j + 5.2. What is the closest to t in -1, 2\/15, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 16800 = 16*u. Suppose 4*b = -26*g + 28*g - u, -b = -2*g + 1056. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(-4\/13)\/((m*m**2\/m)\/m**(-8)) assuming m is positive.\nAnswer: m**(-138\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*p = -42 - 7, 0 = 3*u - 4*p - 68. Let k = -1 + 6. Suppose 0*g = -k*g + 235. What is the remainder when g is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 3*u - 24, 4 = 225*u - 223*u - 2*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -80c9918 + -5?\nAnswer: -80c9920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/9 + 2297*m**2\/3 + m\/9 - 2297\/3.\nAnswer: -(m - 6891)*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 58 + (-4 - 9 - 1 - (0 - -1))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*y**2 - 4*y**2 + y - 33*y**2.\nAnswer: -74*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2 + 2 - -4)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -3)\/(1\/1). Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*c + 119*c = 434*c - 159*c - 725 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 3, w: 6, a: 1, o: 1}. Give prob of sequence oah.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4598) - sqrt(4598)*-1) + sqrt(4598))*1 + -6*(sqrt(4598) + sqrt(4598)*1))\/((sqrt(10) - sqrt(40))\/sqrt(5) + sqrt(22)\/(2*sqrt(11))).\nAnswer: 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -432 (c) -1\/14 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-864)\/1600*5*(-10)\/36?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1383031357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y. Let w(t) be the second derivative of -t**3\/6 - 5*t. Calculate w(z(p)).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 659468 and 2?\nAnswer: 659468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*3)\/sqrt(2))\/(sqrt(9) - sqrt(576)*-1).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 352*c*f**4 + 38*c*f**2 - 4795*c*f - 2*c - 2351*f**6 + 2*f wrt f?\nAnswer: 8448*c*f - 282120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 4\/7, -15\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 1452275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 735 + -4411\/6. What is the nearest to -1\/3 in -3, 38, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 divided by -5?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 9, -1\/8, 1\/4, 0.041, 1\/3 in descending order.\nAnswer: 9, 0.5, 1\/3, 1\/4, 0.041, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 14*l - 490. Suppose -l*t + 34*t + 252 = 0. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 16*x - 23. What is h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 4*k - 2*k)*(-3 + 4 + 0) + (0 - 1 + 0)*(5*k - 4*k - 4*k) + 10 - 8*k + k - 11.\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64.704053 and 2.\nAnswer: 129.408106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -171*k**3 - 119*k**2 + 2*k + 1. Calculate j(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -48 (b) 211 (c) -1 (d) 0.2 (e) 3 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -8 + -16 + 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -15. Suppose -2*t + 17 = -5*o + 2*o, 4*t - 36 = 4*o. Let m = 34 - t. Calculate the least common multiple of m and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21808 = 6*r - 2*r. Let t = 255452 + r. What is t rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/2*2\/(-6) - -2. Suppose 225 - 30 = s*m. What is the remainder when m is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = c - 39, -207*x + 114 = -203*x - 3*c. Suppose -5*l = -46 + 6. Let m = 11 - l. What is the greatest common divisor of x and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -936307 and -52210804.\nAnswer: -53147111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 19*n - 112. Let h be f(6). Let b(g) = 33*g**3 + 2*g**2 + 7*g - 11. What are the prime factors of b(h)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7869288 is divided by 1311548.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (15 - (-1 - 11)) - 18.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(20)\/sqrt(5))\/(1*1*sqrt(2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 167*s - 8*s)*(3 + 2*s - s + 0*s - 2*s**2) as d*s + l + x*s**2 + a*s**3 and give x.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 1. Let c(b) be the third derivative of b**5\/60 + b**4\/8 - b**3\/2 + 4*b**2. Let q(x) = -2*c(x) + 6*t(x). Let o(m) = m. Calculate q(o(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -56. Suppose -11*k + 82 - 27 = l. Suppose 900 = 5*d - 4*c, -9*c + k*c = 0. What is d rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13093160 to the nearest integer?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 174 = -63*i. Solve i*f - 5*f = 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 19\/8, -1, 0.1, 28?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*v)*(25*v + 22*v - 2 - v).\nAnswer: -92*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.74 + -1.26. Which is the smallest value? (a) -2\/5 (b) 4 (c) -5\/13 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1280286.\nAnswer: 2, 3, 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 80 = 0, -5*k - l + 5 = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 7\/((-77909615)\/37812415). Let n = k - 3\/30493. Find the common denominator of 29\/6 and n.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65.53 + 0.87. Let y = 65.447 - a. Let h = -1.06 - y. Round h to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26532, -212191, -716112, -1697421, -3315244, -5728707, -9096936, -13579057?\nAnswer: -19334196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(((sqrt(16) - sqrt(4)) + sqrt(4))*3))\/(2*sqrt(1728)*6).\nAnswer: sqrt(3)\/864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - 1. Let n be (-4)\/(-16)*4 + 63 + 1. Let k = -65 + n. What is o(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) - (5 + sqrt(153)*-1 + sqrt(153)) - (1 + -2*sqrt(153))**2.\nAnswer: -618 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 259316*d.\nAnswer: 2*d*(d + 129658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 5*h**2 + 0*h**2 - 4*h**2. Let s(p) be the second derivative of -p + 0*p**2 + 5\/6*p**3 + 0. Calculate t(s(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-2050))\/((-2)\/(-82))*64.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + -2.218687556.\nAnswer: -2.618687556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.6506 and 0.3.\nAnswer: 1.9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/3 + 2\/(-3). Let o(s) = s**2 - s - 2. Let j be o(t). Suppose -2*l + 20 - 2 = j. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 o when four letters picked without replacement from jjojzjjjjoooojozzjo?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 29546, -1\/4 in increasing order.\nAnswer: -1\/4, 4\/7, 29546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -119. Calculate the remainder when q is divided by (2*(-63)\/(-6))\/(150\/100).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*q, 4*o + 4*q - 22 = 2*q. Suppose -5*v = -o*v + 4. Suppose -v*x + 1560 = 6*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8\/11, 0 in decreasing order.\nAnswer: 1, 8\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3769 + 619*g - 3769 - 2*g**2.\nAnswer: -2*g**2 + 619*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002220341 (base 5) in base 4?\nAnswer: 13212110203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 2. Let u be i(2). Let w = 2619 + -2618.8. What is the second smallest value in u, w, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 4:06 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302102300213032 - -1?\nAnswer: -302102300213031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000724 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -536.907 and -99.\nAnswer: 53153.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000161834 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 991 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: Suppose g + 0*d - 252 = d, 499 = 2*g - 3*d. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5543\/165 - -404\/11. Suppose 2*i - 3*i = 4. What is the common denominator of k and ((-62)\/i)\/(5 + 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(45\/(-3005)) + -2. Let k = -202 + z. Let y = 1735 + -26041\/15. Find the common denominator of k and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1760520*q**3 + 3*q**2 - 469829*q - 4 wrt q.\nAnswer: -10563120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -203000 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 38\/5, -2, 4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 3*d + d + (-1 + 5 - 2)*(d + 0*d + d) - 3*d + 5*d + 0*d + d - 3*d + 0*d)*(-31 + 1 + 1) to the form y*d + x and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 8:03 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-696)\/1740)\/(5\/(125\/6)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.51 - -10.51. Put 4, x, 0.796, -2\/11 in decreasing order.\nAnswer: x, 4, 0.796, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -341674560*f**2*v + 322521218*f**2 with respect to v.\nAnswer: -341674560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = -4497 - 4110. What is the hundreds digit of 16 - 11 - (10 + 0) - j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 + -2.24. Let v = l - -2.5. Suppose 3*r = -0*r. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Let t(v) = -3*v. Let c be t(r). Find g, given that -4\/11*g + 10\/11*g**2 + c = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 108*d + 110*d - 11 = 0, 20 = 5*a + 5*d for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1763, 1775, 1789, 1805, 1823?\n\"Answer: s**2 + 9*s + 1753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 743.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 50 (b) -4 (c) 39054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + b - 19*b**2 + 6*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - j**2 + 23*j + 76*j - 35*j. Let n be z(16). Let p = -1 + 8. Solve n = 6*w - p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2 + 31*x - 572 = 0.\nAnswer: -44, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.6 take away 12816?\nAnswer: -12760.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = h, -19*h + 14*h + 3 = -4*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31472 + 48496. Calculate the greatest common divisor of 32 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - 2*c + 2*c)*(7*c**2 - 9*c**2 - 2 + 0*c**2)*(-7*c - 58*c - 6*c)*(-1 + 0 - 2) to p + o*c + j*c**4 + g*c**2 + r*c**3 and give j.\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. Solve c*i + 2 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*b - 5. Let v = b + -4. Let p be 1*10*v\/(-5). Solve 9*o - 25 = p*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) 0.5 (c) 8\/7 (d) 5 (e) 1 (f) -3\/94 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -1313\/20*f**5 + 0 - 3*f + 4\/3*f**3 + 0*f**2 + 0*f**4. Let q be m(4). Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/230432 <= -0.545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2455 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**3 - 62*y + 62*y + y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6)\/(6\/16). Let g = 8 - r. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - a**3 + (-131*a**2 + 58*a**2 - 234*a**2)*(-2*a + 2*a - 2*a).\nAnswer: 613*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) 72\/17 (c) -24\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 4 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 2. Let s(r) = 117*r - 3. Give s(f) + z(f).\nAnswer: 118*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -150805 - -28b?\nAnswer: -150547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, s: 1, b: 1, p: 6, k: 3}. Give prob of picking 1 p and 1 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -32*c. Let u(g) be the second derivative of -2*g**3\/3 - g - 2. Determine x(u(b)).\nAnswer: 128*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 6*q - 161 = 0, -2*i - 165 = 334*q - 339*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012869 by 9.\nAnswer: -112541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -42, -224, -586, -1188, -2090?\nAnswer: -3352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/12022944 and -53\/3336.\nAnswer: 12022944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:49 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -9, 3, -5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 21. Let u be i(-8). Factor -7*p**4 + 2*p + 5*p**4 + 2*p**2 - 2 - 2*p**u - 4*p + 2*p**2 + 4*p**3.\nAnswer: -2*(p - 1)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 - 14 - j**2 + 17 + 2 - 13.\nAnswer: -3*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wci when three letters picked without replacement from iozwizooozociowoioz?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r**2 + 2*r - 9. Let u be k(-3). Calculate the remainder when 208 is divided by u\/(-15) + 2\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(2))\/sqrt(2) + -5)**2.\nAnswer: -10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538055679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 9:28 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27e + d?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 85, -1, 178?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 83*h - 841. What is j(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + 487. Let b = g + -528. Solve -4 = -2*k - 2*i, 2*k + 1 - 9 = b*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -54\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5162\/15 - -344. What is the nearest to -0.1 in 4, -0.06, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -9. Suppose -l - t*l = -16. Let h = 22 - l. Calculate the remainder when 51 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 1029, -3.9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -304 + 69726. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765 (base 10) to base 15.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 31. Let f = d - -26. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4238393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13264536 by -3.\nAnswer: 4421512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 7\/2*p**2 - 6*p + 0 + 1\/2*p**3. Differentiate g(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-1 + 2) - (-2 + 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/203 (b) -3 (c) 0.3 (d) 3 (e) 3\/2708\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 4\/1 + 1. Suppose -m*d = d. Let g(y) = -3 + y - 6 + 3 - y**2. Give g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, -128 in ascending order.\nAnswer: -128, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*36304\nAnswer: -10891.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/259 and -17\/301.\nAnswer: 11137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine halves of a microgram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*(l**(-12\/7)\/l)\/l)\/(l**(-1\/13)*l\/(l\/(l\/(l**(-16)\/l)))) assuming l is positive.\nAnswer: l**(-2606\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 - 31335*u\/4 + 15669\/2.\nAnswer: -3*(u - 1)*(u + 10446)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320572 is divided by 1448.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3241 - 18504. Let x = 31341 + b. Suppose 4*n - 4*d + x = -n, -2 = 2*d. What is n rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 356 and 854222.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*r - 6, -h + 5*r = h + 12. Which is the nearest to h? (a) -2 (b) 0 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15602976 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1209*y**3 + 1210*y**3 - 16*y**2 - 2421*y**3 + 16*y**2.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101303?\nAnswer: 17, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(-5 + sqrt(405) + 2 + sqrt(180) + sqrt(180) + 4))**2.\nAnswer: 672*sqrt(5) + 35296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001274 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16993, 16575, 16157, 15739, 15321, 14903?\n\"Answer: -418*n + 17411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -150372, -150369, -150366, -150363, -150360?\n\"Answer: 3*k - 150375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33133.\nAnswer: 17, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**2 + 83*w**2 + 76*w**2 + 41*w**2 - 21*w**2.\nAnswer: 143*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -287\nAnswer: 4\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/7 + 1\/21. Let s(y) be the first derivative of -y + y**2 - 2 - b*y**3. Find a such that s(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.0554 (b) -0.2 (c) 2.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88280 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 269 - 269.0000057. What is w rounded to seven dps?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 8*t + 816. Let l = t + 514. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138.815t in kilograms?\nAnswer: 4138815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (10 - (5 - -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c**3 + 1. Let b be n(1). Suppose b*s - 415 = -s. Suppose s = -4*g + 5*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134657 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(sqrt(180) + (sqrt(180) - (-1 + sqrt(180)))) - (-1 + sqrt(180) + 3)))**2.\nAnswer: 576*sqrt(5) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((15\/(-2))\/5). Suppose 0 = -f*w + 3*w - 2. Suppose 5*s = 4*i - 41, 5*i - w*s = 3*s + 45. Solve g - i + 0 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 22 = -5*n, 3*n - 6*n + v = 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -696, -1374, -2042, -2700, -3348?\n\"Answer: 5*q**2 - 693*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203 and -1.7977.\nAnswer: -364.9331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -379*g - 322*g - 13319 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*r + 2*c, -34*r + 3*c - 6 = -37*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 9*k**3 - 311*k**2 + 61*k + 3688. Give z(34).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -979584*o**5 + 421091*o**2 + 1?\nAnswer: -58775040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1032 and 4472.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svv when three letters picked without replacement from wwvsovsvovmtvvttvtov.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1) + (360\/5)\/8. Suppose -n + f = -2*h - 5, 16 = 3*n - 2*h. Let t(u) = u**3 - 4*u**2 - 9*u + 2. Let q be t(6). Solve -2*r - n*r = q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -118. What is the second smallest value in 5, -1\/5, -46, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 + 0*d**3 + 0*d**3)*(133 + 56*d + 47*d - 106*d).\nAnswer: 12*d**5 - 532*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + m - 6*m. Suppose 0*j - 4*j = 4*a, -2*a - 10 = -3*j. What is f(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -64*u + 135. Let t(a) = -49*a + 101. Let y(o) = 7*q(o) - 9*t(o). Give y(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -16. Let x = 12 - m. Suppose -1 - 8 = 3*z. What is the smallest value in x, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 + 5.7. Let f be 2\/3*(4\/6)\/(-2). Which is the closest to x? (a) -2 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9891 - -9887.3928. Let z = k + -0.2468. Round z to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m + 16*m - 16*m)*(-m**4 - 4*m + 4*m + 3*m**3).\nAnswer: -21*m**5 + 63*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-5*12\/(-10). Is 4863*(1 + -2)*(-6)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 9:16 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.29 or 0?\nAnswer: 12.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwx when three letters picked without replacement from {w: 2, d: 4, x: 2, y: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, -66.3, -1\/2, -6\/37, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 960123 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 0 + (5 - 1 - 3)*(1 - 2 - 1))*(-50*d**5 + 31*d**5 + 5*d**4 + 1 + 21*d**5).\nAnswer: -16*d**5 - 40*d**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {o: 4, n: 5, s: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3165 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.2 (c) -348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.227 - 0.073. Which is the smallest value? (a) l (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/19101645 and 86\/135.\nAnswer: 57304935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*1\/(-70))\/((-2)\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - u - 44 = 0, -3*u + 7 = -2*z + 22. What is the third derivative of -z*b**3 - 2*b + 2*b + 7*b**3 - 2*b**2 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + -131.3. What is d rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 125 (b) 4\/25 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 - 235. What is the highest common divisor of z and 1416?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 269*c - 4. Let s(h) = -539*h + 7. Give 3*s(g) + 7*v(g).\nAnswer: 266*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -17 - (2028 - 2034)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 4*t + 8, 2*t + 16 = -4696*z + 4700*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3*z**2\/2 + 77. Let n(h) = h**2 - 2. Let l be n(2). Let w(g) = -3*g**2 + g**l - 3*g**2 - 3*g**2. What is j(w(b))?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 + 5*d**2 + 1269*d\/4 = 0.\nAnswer: -27, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(84)*3*3)\/(-3*sqrt(1728)).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6420 and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k + 761 = -23*k. Is 69 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*t - 75 + 82, 0 = -3*c - t - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 14. Let n be o(9). Let k(v) = 3*v**2 - 2 - 18*v**2 - 2*v - 3*v + 16*v**2 + v. Calculate k(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104696 (base 15) to base 4\nAnswer: -2331003132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016220591 to 4 decimal places.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881722037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/5 (b) -8 (c) 12 (d) -270 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*g**2*m - g**2 - 4*g*m + 2*m - 9 wrt g?\nAnswer: 24*g*m - 2*g - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**4 + 15*t**3 - 33*t**2 + 12*t = 0. What is t?\nAnswer: -4, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 243 = 18*u. Suppose 4*g + 151 - 259 = 0. What is the greatest common factor of u and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 2*y - 3. Let b(h) = -14*h**2 + 20*h - 40. Determine -b(z) + 9*v(z).\nAnswer: 5*z**2 - 2*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -10. Let p be ((-23)\/(-46))\/(-2*(-1)\/16). Suppose -o*m = -v + 107, -2*v + p*v + m = 250. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 17*i**2 - 13*i - 24. Let l be k(16). Suppose -7*z + 4*z + 216 = 0. Calculate the highest common factor of l and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10101010101?\nAnswer: 10101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 7388697.\nAnswer: 7388697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqyqqqqqqqqqqyqj. What is prob of sequence qqq?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128504.\nAnswer: 2, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 12 = 4*l, -5*x = 2*l - 4*x + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -10, -37, -96, -199, -358, -585?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/15 - 104*s**2 - 1. Let i(x) = -20*x. Give a(i(l)).\nAnswer: -1600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3254 + 3254.5. Which is the smallest value? (a) 9 (b) -1\/2 (c) -10 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 207*r + 1027. Let u be z(-5). Let w(o) = -6*o + 4. Let h(l) = -9*l + 6. Calculate u*w(s) + 5*h(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1606\/110 + -15)*(1 + (-5)\/10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s - 22 = 0. Let z(t) = -t**3 - 11*t**2 - 6*t - 12. Let j be z(s). Calculate the remainder when (j\/(-5))\/(4\/(-10)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*s - 83 - 73 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 3194\/3 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14092183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.78 - -10. Let m = i - 0.17. Round m to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z + 6. Let k be f(0). Let w(t) be the third derivative of -t**5\/60 + t**4\/12 + 4*t**3\/3 - t**2 + 126. Calculate w(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 4 - 3*b + 7*b)*(-1 - 2*b**4 - 1 - b**4).\nAnswer: 3*b**5 - 12*b**4 + 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5328?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 353*r + 3024*r - 4 + 3346*r + 4 to the form o + j*r and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (3 - -1) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110000 + -100011010010100101?\nAnswer: -100010110001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 18 = -0*p + 3*p, p - 10 = -4*z. Let g be (-81)\/(-1 - 2)*(-94)\/(-141). What are the prime factors of (-2)\/3 + (1686\/g - p)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.900014738 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 5*s)*(1 - 1 - s) - 3*s**2 - 2*s**2 + 3*s**2 - 3*s**2 + 4*s**2 + 2*s**2 in the form x + n*s**2 + q*s and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001240748502 rounded to 6 decimal places?\nAnswer: -0.001241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 2*m)*(1181*m - 261*m - 4117*m)*(2 + 3 - 3).\nAnswer: 12788*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 10*f - 20 = 0. Suppose 12*d = f*d. Solve -15 = -3*s, d = 4*z - 3*s + 7*s - 28 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225.0253 - 0.0253. Let p = 212599761.000278 + -212599986. Let f = p + c. Round f to 5 dps.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 211295 - 3?\nAnswer: 211292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p**5 - 239*p**4 - 357*p**3 + 687*p**2 + 8*p - 84 = 0 for p.\nAnswer: -14, -3, -1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 208.6 - 190. Let x = j - 0.1. Let l = 18.500089 - x. Round l to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878715 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555845 to the power of 1\/2, to the nearest integer?\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 11*r**2 + 13*r + 7. Let n(v) = -v**3 + 4*v**2 + 23*v - 102. Let h be n(5). Give g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(2\/27)\/(l*l*l\/(l**7\/l)*l**(-5)*l) assuming l is positive.\nAnswer: l**(1327\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 8834?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.14222 from 0.\nAnswer: -12.14222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1\/5, -69, 134, 1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.30657106 + -0.08308?\nAnswer: 5.22349106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.3. Let p = 2.9 + g. Let h be (2 - 4) + (-1 - -4). What is the nearest to 0.1 in p, h, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1802\/9 + (-10)\/45. Suppose 5*j - v = -5*x, -4*j + 3*j + 124 = 3*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35970047 is divided by 2304?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 119*s - 89*s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 3. Suppose 0 = 2*x - s - 9. Solve 0 = 2*w - x*w - h - 17, -h - 2 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - -6 - (3 + -1 + 2). Suppose 0 = 2*v - 9 + b, 4*v - 612 = -c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1676*t + 40. Let x be q(-5). Let g = 233461\/28 + x. Let d = -271 + 4879\/18. Calculate the common denominator of g and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.780362 + 2.78. What is m rounded to five decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/5))\/x)**16\/(x**0\/x)**(-9) assuming x is positive.\nAnswer: x**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -132211?\nAnswer: 132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (5 - 13)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 793510665?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/5*u + 27\/5 + 1\/5*u**3 + 9\/5*u**2 = 0. Calculate u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(350)\/sqrt(7))\/sqrt(10).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 5. Let d be g(5). Suppose -5*z - 5*c = 10, -2*z = -d*z - 5*c + 4. Let r = 1.8 + -1.4. What is the second smallest value in r, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/(-5) + (-6)\/(-15). List the prime factors of (p\/4 - -1958)*7\/7.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018149 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) 5 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 28 = -3*y, -2*m + 3*m + 6 = -y. Which is the second biggest value? (a) 0.2 (b) m (c) -4 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43486?\nAnswer: 2, 17, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265923936 and 864?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3654 and -71\/22736.\nAnswer: 204624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3612, -47811, -133516, -253503, -407772, -596323, -819156?\n\"Answer: -17141*q**2 + 20753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/12 - 18\/(-4). Let v(d) = -d**3 + 3*d**2 - 2*d - 1. Let r(o) = -2*o**3 + 4*o**2 - 3*o - 1. Let c(s) = 2*r(s) - 5*v(s). What is c(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 150998280?\nAnswer: 603993120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.98 + 9.52. Let f = 10.7 - g. Let m be (12\/15)\/((-28)\/(-10)). What is the closest to m in -1\/5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/260 and -101\/832.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230993, -1847871, -6236543, -14782907, -28872861?\nAnswer: -49892303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3106, 6221, 9336, 12451, 15566, 18681?\n\"Answer: 3115*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 + 0\/1 + 2. Let c = 301 + -322. Let p be c\/18*i\/(-21). Sort -2\/5, 1\/3, p, 1 in descending order.\nAnswer: 1, p, 1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892279*l**6 + 4*l**3 + 11*l**2 - 92927.\nAnswer: 107073480*l**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 12*l + 24*l - 5*l)*(15*l**2 - 28*l**2 - 5 + 11*l**2) + 0*l**3 + l**3 + 0*l**3 to the form c*l**3 + t*l + h*l**2 + j and give j.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)\/((-2)\/(-14)). Suppose 3*g = -4*z + r, -4*z + 22 = -g - g. Let d(a) = 4*a + 7. Let o(m) = 2*m + 4. Calculate g*d(b) + 5*o(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 4, c: 2, d: 1, y: 2, t: 4}. Give prob of sequence ft.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -22, -46, 1, -0.5, 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -18.6.\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3378 - 25458 = -6*b. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106584870 is divided by 7613204.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 5, 107?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102422 (base 8) in base 6?\nAnswer: -10203202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s + 56. Let g be p(9). Are g and -71 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 6, f: 6, w: 6, p: 1}. Give prob of picking 1 r, 1 f, and 1 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.92 + 15. Let d = x - -0.29. Let q = d - 0.27. What is q rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 3*a + 33 - 3 = 0, -16817*a + 16814*a = 5*l - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1444960 - -101682647\nAnswer: 103127607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -99, -178?\n\"Answer: -79*f + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*a - 43*a - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -110011011100010001 (base 2) to base 13\nAnswer: -74ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 225100 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -107*s**2 + 356*s**2 - s - 1696081 + s + 1696081. Let h(a) = 2*a. Let l(x) = x. Let i(g) = 2*h(g) - 2*l(g). Give p(i(d)).\nAnswer: 996*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 10. Suppose -5*x + 27 = 4*w, 4*x + 8 = -2*w + 20. What is the least common multiple of w and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3194.305 to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 3*y + v, 15*y + 3*v + 1 = 11*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16893673\/91 + 185649. Let a = 70\/13 - w. Factor a*t - 8\/7 - 2\/7*t**2.\nAnswer: -2*(t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/15 + 3148*d**2\/15 - 245848*d\/3 - 499280.\nAnswer: -2*(d - 790)**2*(d + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 78, 159, 234, 297, 342?\n\"Answer: -m**3 + 3*m**2 + 79*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 212e0 (base 15) in base 6?\nAnswer: 2131233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3\/7)\/m**(2\/3))\/(m\/(m\/m**4))**(-50))**(-35) assuming m is positive.\nAnswer: m**(-20885\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - d**2 - d. Let v(u) = -5*u**3 - 9*u - u**3 + 2*u**3 + 3 - 10*u**2 + 12*u. Let w(l) = -6*b(l) - v(l). Does 21 divide w(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 + 49. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 8) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -702702 equal to -9135116\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(4)*-5)\/(sqrt(18)\/(sqrt(36)\/sqrt(4))).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - -6.96. Let l = f + -4. Let o = -285625 + 285625.5. Which is the nearest to l? (a) 4 (b) 1\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (39 - (-5 + 3) - (-40 + 18))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200122102002211 (base 3) to base 8.\nAnswer: 45630644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -26\/41 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5374342 - 7275887 = -27*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 444*c + 22683. Let h(d) be the second derivative of -d**5\/20 - d**4\/3 + d**3\/3 - d**2\/2 - d. Calculate the remainder when j(-51) is divided by h(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -21, -33, -45, -57, -69?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 1 + -5 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*o + 221 - 329 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 11. Let g(x) = 4000*x. Let m be g(v). Round m to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -28400003 + 2 + -5 + 6. Round m to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**6\/180 + f**5\/30 + f**3 + 3. Let c(a) be the third derivative of j(a). Factor c(n).\nAnswer: 2*n*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 9*w**4\/4 - w**3 - 3*w**2 + 5*w - 3. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1208 and 115666.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 3*o - 61*o**2 + 46*o**2.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 5 in increasing order.\nAnswer: 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10354.\nAnswer: 2, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(180)*-2 + 2)**2.\nAnswer: -96*sqrt(5) + 1448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 3*g - 4. Let p(u) = -u**3 + u**2 - u - 4. Let b(h) = -3*h**3 + 5*h**2 - 3*h - 16. Let x(o) = -b(o) + 4*p(o). Determine -s(w) + 2*x(w).\nAnswer: -2*w**3 + w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1438.1754875+4355\nAnswer: 2916.8245125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 15*y**5\/4 - y**4\/12 - 7*y. Find the third derivative of b(t) wrt t.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434044454 (base 6) in base 3?\nAnswer: 112120210112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from offhoff. Give prob of picking 4 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-7)\/14*(-20)\/((-20)\/2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640352194.\nAnswer: 2, 320176097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -153*n**2 - 910*n**3 - 913*n**3 + 103 + 1820*n**3 + 50 + 3*n.\nAnswer: -3*(n - 1)*(n + 1)*(n + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 2. Let s(a) = -a. Suppose -x + 2*z = 9, 27 = -5*x - 0*z + z. Let v(j) = x*s(j) - t(j). Calculate v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**2 + 55*v + 166. Determine a(-8).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 27 = -5*m. Let z = m - -58. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/(-4)*(-3)\/10*(-79)\/(-237).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -5 + (8 - -25041) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - -2 - 29 - 138\/21.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39*4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -33137 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/24 - -5) + 2\/8. Suppose -12 = 4*w - 7*w, 2 = -k*h + 3*w. Let c(p) = -641*p**h + 3 + 637*p**2 - 3. Let l(b) = 4*b**2. Determine l(c(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/318767 - -637498\/2868903. Let 64\/9 - k*w**3 - 10\/3*w**2 + 4*w = 0. What is w?\nAnswer: -16, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 2*i - 2*o + 870, -3*o - 1035 = 3*i. Let w be ((-24)\/i)\/(4\/(-6)). Let z = 1.4 - 0.4. What is the closest to 1 in w, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 467534\/63 - 7421. What is the common denominator of -60\/77 and z?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 - t. Let h be (12\/15)\/((-2)\/10). Give n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*h - 35, -15 = 2*h - 7*h + 2*o. Let x(i) = i**2 - 6. Give x(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15968 or 15971?\nAnswer: 15968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2365, -4728, -7091, -9454, -11817, -14180?\n\"Answer: -2363*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -419 + 422. Suppose g = -4*i - 3 + 36, -m*i - 2*g + 26 = 0. Let p be 7 + -2 + (-3 - -2). Solve 0*y = p*y - i for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.01 + -12.01. Let u = -3 + -7. Let j = -15 - u. Which is the nearest to i? (a) 0.3 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clcccccclwawc. What is prob of sequence ll?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13192359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6643176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171 divided by 62.\nAnswer: -171\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 - 41915*q**3\/2 - 219597924*q**2 + 219618882*q.\nAnswer: -q*(q - 1)*(q + 20958)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*m = -15, -5*u + 3*m + 35 - 44 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(243\/9)*75. Solve -9*k = x + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 14*z = 8*z - 154 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*t = -36, 3253*t - 3252*t - 48 = 3*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327018 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -12, -20, -50, -3, -5 in descending order.\nAnswer: 15, -3, -5, -12, -20, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from vuayyyyayyypnn?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.9574733us in days?\nAnswer: 0.00000000030043371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1253147683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100000111 (base 2) in base 16?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 1:56 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = -14. Suppose -4*a + 20 = -0. Is (-3 - -5 - a) + z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0 + 16*w**2 + 0*w - 2\/315*w**7 - 1\/40*w**6 - 1\/30*w**5 - 1\/72*w**4 + 0*w**3. Solve z(g) = 0 for g.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4341386060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 41284 = -34856. Calculate the remainder when y is divided by 184.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14831488 is divided by 158.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 102 - 94 = -2*q, 0 = -5*w - 5*q - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 8:45 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1952 - 1948. Put -1\/3, 0, s, 2.2 in decreasing order.\nAnswer: s, 2.2, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*b = 49, -3*b - 52 = 2*w - w. Let r = -26 - w. Let y = r - -2. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-7\/5)*p)\/((p*p*p*p**(-1\/6))\/p))\/(p\/(p*p*p**(1\/3))*p)**(-2\/21))**5 assuming p is positive.\nAnswer: p**(967\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 15 = 3*a - 3, -4*c = 12. Suppose 3 = a*u - 3. Suppose -102 = -2*h - u. What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.05 - 0.05. Let c = l - 1.2. Let h = c + 0.1994. What is h rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 - 3 - 2*f**3 - f**3 - 4*f**2 + 5*f. Let r be l(3). What is the third derivative of 26 + 2*h**r - 26 - 2*h**2 wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + cd?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-24)*t*(t**(1\/4)*t)\/t*t*t**(-12\/7)*t**25*t assuming t is positive.\nAnswer: t**(99\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 2 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4613325*u**3 - 26782826*u**2?\nAnswer: -27679950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 2 - 105*m**3 - 55*m**3 - 124*m**3 in the form z*m**2 + v*m + y*m**3 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*f - 226*f - 2*h = -421*f + 33, -5*f + 11 = 4*h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -682\/1481 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2, 2.3, -5, 2\/11, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 101*o + 454*o = 3873, -49*d - 45*d - o + 31 = -90*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 21 = u - 57, 12 = -i - 2*u. Let r be 4\/i + 8\/6 + -45. Let t = r - -92. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -48*g**2 + 18*g + 31. Let n(c) = -1826*c**2 + 693*c + 1177. Determine 77*m(l) - 2*n(l).\nAnswer: -44*l**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89*(-81)\/(-153) - ((-2)\/12 + (-406)\/(-1428))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4132214789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8441*c*r**2 + 422*c - 4*r - 1 wrt r.\nAnswer: -16882*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24352324313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.2 (c) -188\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvepppe. Give prob of picking 2 v and 2 e.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from hvmhymhvh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 31. Let y be l(10). Let n = -0.1 + -0.4. Suppose -2*b = 4*u - 0*u + 6, -1 = 4*u + b. What is the biggest value in n, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:48 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - (-11 + 7 + -1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147567051 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 84 = -4*v, 6*v - v - 3*q = 88. Suppose -5*u + 30 = -v. Let i(d) = -d**2 + 12*d + 2. Let w be i(12). Solve w*b + 0*b = u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3.9 (b) 0.5 (c) -5 (d) -154.306 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 5 + 6)*(-32*m**4 + 61*m**4 - 30*m**4 + 8) as j + z*m**4 + r*m**3 + y*m**2 + b*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253843, -507688, -761533, -1015378?\nAnswer: -1269223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30125, -58713, -87301, -115889?\n\"Answer: -28588*j - 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 56. Let o(i) = 2*i + 1. Let a(b) = 4*o(b) - z(b). What is the hundreds digit of a(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*s - 4 = -b, 2 = 3*b - 5*s. Suppose 4*y + 48 = -w - 2*w, -w = b. What are the prime factors of ((-39)\/y)\/((-4)\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -7, 5, 35, 89, 173, 293, 455?\n\"Answer: x**3 - 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-14 + -10 + 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19315.827 to the nearest one hundred.\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*y - 4*y + 4*l, 4*l - 37 = -5*y. Let h(c) = -3*c**3 - 2*c**2 + 2*c + 4. Let w(j) = 6*j**3 + 5*j**2 - 5*j - 9. What is y*h(f) + 2*w(f)?\nAnswer: -3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2*n**2 + 6 + 6 - 3.\nAnswer: -2*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 24*a**2 - 980*a - 692. Let s(p) = 9*p**2 - 392*p - 277. Let t(q) = 5*i(q) - 12*s(q). Suppose t(h) = 0. Calculate h.\nAnswer: -2\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013544 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 22 = -2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*z**3 + 8325 - 8661 - 205*z**3.\nAnswer: 2*z**3 - 336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/20 and (7\/6 - 0)\/(1650\/352).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 48, -5, 0 in descending order.\nAnswer: 48, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*z - 3 + 40*z - 37*z)*(2 + 2 + 3).\nAnswer: -126*z - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*j + 1972 - 225 - 166 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 257219\nAnswer: -3\/257219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -1) + (34\/4 - -1). Let s = 16688 - 16686. What is m in -9\/2*m**s + 1\/2*m**3 + a*m - 27\/2 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17473 times -0.17\nAnswer: -2970.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3*-2)\/2*-1. Let l(p) = p**3 + 3*p**2 + 2*p + 2. Let n be l(-2). Let i(m) = -3*m + x*m - n*m + m. Let a(o) = -2*o. What is a(i(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + -1. Let t = l - -18. Solve -3*i + t - 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70331029?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 11)*(1 + 0 + 2)*(0 - 1 - 1)*(1 - 1 + 7)*(-g + 1 - 1).\nAnswer: -546*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 - 97. What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 3*q + 57, -5*b = -2*q + 4*q - 130. Let j = 171 + -99. Calculate the greatest common divisor of b and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*u**5 - 14*u**4 + 2*u**3 + 71*u**2 - 3*u - 2.\nAnswer: -2160*u**2 - 336*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 2*f - 24 - 213 + 9*f.\nAnswer: 11*f - 201","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -95*i**2 - 15768*i + 335. What is v(-166)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 0.1 (b) 5 (c) 0 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) 5 (c) -3554 (d) 594\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + (-28)\/12)*63\/6. Let a be 5*1 - 2*(i + 12). Solve 0 = -q - 2*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l - 3*z = -3, 5*l - 3*z + 3 = 0. Suppose -3*d + 3 + 6 = l. What is the remainder when 3 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 33*i**3 + 2*i**2 - 1. Let z be d(1). What is the third derivative of -28*s**3 + z*s**2 - 10*s**2 + 9*s**3 wrt s?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 6*y + 9. Suppose 5*g = 2*z - 30, z - 13 - 4 = y*g. Calculate the smallest common multiple of 1 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -13963.3814.\nAnswer: -13963.6814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(((i*i*i\/i**(1\/2))\/i)\/i*i)*i*i)))**(-2\/9)*i**(-7)*i**(-1\/3) assuming i is positive.\nAnswer: i**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/2359 and -163\/43371900.\nAnswer: 303603300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - 4*k + 2. Let h(q) = -11*q**2 + 11*q - 5. Let c(p) = -2*h(p) - 5*r(p). Let d(b) = 4*b**2. What is d(c(v))?\nAnswer: 676*v**4 + 208*v**3 + 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d1 + 5?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 + 5.12. Let d = o - 5.3. Which is the smallest value? (a) d (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96.41952l?\nAnswer: 96419.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 906801.1 centimeters in micrometers?\nAnswer: 9068011000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 - 24*c**2 + 5*c + 42. Let m be q(-8). Suppose 3\/4*n**m - 15\/2*n + 75\/4 = 0. Calculate n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 6 in ascending order.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308.9 + -304.9. What is the closest to j in -4, -24\/23, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*u = 311 + 345. Let a(i) be the first derivative of -2\/3*i**3 + 0*i + 0*i**2 - u. Let n(q) = -4*q**2. Determine n(a(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-4 - -1)\/3. Let q(o) = 70*o**2 - 2*o - 1. Is 23 a factor of q(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 - 113*n - 636. Determine a(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 10*q - 21. Let j be q*(-1)\/(-3) + -2. Put 2, 4, 7, j in increasing order.\nAnswer: j, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27735375*o**3*r**2 - 259*o**2 + 306514*r**2 wrt o.\nAnswer: -166412250*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {w: 2, n: 4, m: 2, e: 12}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -104, 25, 272, 637, 1120, 1721?\n\"Answer: 59*p**2 - 48*p - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 3 = 54. Let k(c) = -91*c - 26. Is k(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3954 - 2536. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-10)*-104*(-45)\/38610?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 76*l + 1568640 = 0. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 7347.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24556284 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 2, d: 1, o: 1}. What is prob of sequence od?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/47))**(21\/4)*(t**(2\/5)\/t**(1\/2))\/((t*t**(-5)*t)\/t*t**0) assuming t is positive.\nAnswer: t**(864\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*v = -5095, -5*g + 0*g + 4*v + 5125 = 0. Let x = 1019 - g. Let y(a) = -2*a + 1. What is y(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v + 13*v - 2*v - v**2 + 11. Let y be z(9). Let m(x) = 0 + 2*x - 2 - x**y + 1 + 8*x**2. Calculate m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/21445, -5, -0.057 in ascending order.\nAnswer: -5, -0.057, 4\/21445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (5 + 12 + -15 + 11 - (7 + -3))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqfqq. What is prob of sequence qq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*b - 1 = -4*l, -4*b = 3*l + 7. Let z be l\/(-2) + 5\/(-2). Is z*((-2)\/4 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izi when three letters picked without replacement from {h: 9, z: 3, i: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -1\/24*f**4 + 0 + 0*f + 0*f**3 + 5*f**2. Let u(z) = z**2. Determine u(j(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -24251 equal to -24246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20701606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50614108 by 25307054.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.39 + 0.26. Let i = -2.47 + k. Let w = -2.5 - i. Which is the closest to w? (a) 0.3 (b) -1\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/4 - (-2 + -3). Suppose 4*k + f = -7, 4*p - 3*k = 1501. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -298*f + 149\/2*f**3 + 12 + 95*f**2 - 49\/2*f**4 = 0.\nAnswer: -2, 2\/49, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + ((-15)\/(-25))\/(44\/(153340\/123)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/189)\/(4\/(-40 - -4)).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -13. Let h(s) = 7 - 5*s - s - 2*s + 8*s**2 - s**3. List the prime factors of h(c).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 95027 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 10.3, -9, 1, -2\/3 in increasing order.\nAnswer: -9, -2\/3, 1, 10.3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(1 - 6 + 4)*(l**2 + 4*l**2 - 3*l**2)*(-3*l + l + l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/7 + 352*m**2\/7 - 12850*m\/7 + 12500\/7 = 0. What is m?\nAnswer: 1, 50, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 44. Let l(j) = -3*j**2 - 7 - j**2 - 5*j + 5*j**2. What is l(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.7 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {n: 1, s: 4, u: 1, x: 1, p: 4, l: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/66 and 89\/2640.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 - 75 = 13*v + 38 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -12. Suppose -4*o = -3*o - y. Suppose -c + 11 + 7 = 3*p, -21 = -2*c - o*p. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -573, -1145, -1717, -2289?\n\"Answer: -572*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 909306?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 226461 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-4*k + 4*k + 2*k**2 + (-4*k + 3*k + 2*k)*(0 + 10*k + 0)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11.9 (b) 0.3 (c) -0.2 (d) -5\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1143 = -4*t - a, 2*a = -3*t - a + 864. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31771645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6*r + 1. Let j be w(-2). Let n(k) = 2*k - j + 2 - 5*k + k**3 + 11*k**2. Is n(-11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) 1.6 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 15, -2, -23, -48, -77?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-10)*1470\/(-8232).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 - 6*u - 2. Let b be q(-6). List the prime factors of (-3 + 3 - b) + 10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**2 - 142*v + 477. Let w(f) = -10*f**2 - 227*f + 715. Determine 8*q(n) - 5*w(n).\nAnswer: -14*n**2 - n + 241","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7919 - 7918.8. Let n be 4*(-2 - (-70)\/36). Which is the closest to -14? (a) n (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13231*h - 269839 + 1579708 = 0 for h.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 4*j + (-16*j + 5*j + 6*j)*(3 - 4 + 3) to the form k*j + m and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*b + 629 + 756 = 353 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2\/(-4)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345 - 344. Let c(f) = -21*f**4 + 3*f**2 + 113*f. Let d(x) = x**2 + x. Let m(z) = g*c(z) - 3*d(z). What is the second derivative of m(n) wrt n?\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 - 25*i + 168. Give t(9).\nAnswer: -543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-6)\/15)\/(-1))\/(2450\/10500). Factor -t*s + 0 - 4\/7*s**2.\nAnswer: -4*s*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 316 - 311. What is the third derivative of 388*x**2 - x**5 + 6*x**u - 246*x**2 wrt x?\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 10 - -4) + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 12*w**2 - 15*w - 26. Calculate the remainder when ((-214)\/(-16))\/((-32)\/(-256)) is divided by k(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -58, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*f + f. Calculate the remainder when 2 is divided by (18\/4 + f)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(54\/489) + 3. Let n = g - -988\/63. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3699 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 - ((-2 - -2) + 3 + (4 - (-126 - -134)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)*2)\/(4*sqrt(8)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**3 + 6*k**2 + 30*k - 116. Is p(12) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let n(u) = -4*u - 2. Let i be n(-1). Suppose -19 = 3*c - 5*c + 3*f, -i*c - 4*f = 16. What is q in -2\/7*q**c + 6\/7*q - 4\/7 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814409357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**2 + 320*s + 5120 = 0. What is s?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (33\/88)\/((-2)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*o - 27248*l**2 + 4200*l*o + 2*l wrt o.\nAnswer: -2*l**2 + 4200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88 + -28. Suppose 0*x + 5*x - b = 0. Solve 5*j = 8 + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62157.6 centuries in months?\nAnswer: 74589120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -7*g**2 + 31\/5*g**4 - 14\/5*g**5 + 2*g**3 + 4\/5*g + 4\/5 = 0.\nAnswer: -1, -2\/7, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2757 by -18.\nAnswer: -919\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 h when three letters picked without replacement from xhxxhoxxyyxyyhyyyy?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2\/10 - (-418)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 1, z: 1, g: 2}. What is prob of picking 1 u and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9308 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 5*g**3)*(3*g + 3*g - 4*g)*(0*g + 4*g - 2*g) + 7*g**5 + 4*g - 4*g.\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006258 - -32.3?\nAnswer: 32.293742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + 2\/(-6). Solve 0 = b, 5*v + 4*b + 10 + 0 = f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-24)\/36)\/((-4)\/(-30))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 5*u - 6. Let f be s(-7). Let w be 7 + 2*(-1 + 0). Suppose -x + 14 = -w*l + 77, -5*l + f = x. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 39*r - 1327. What is i(34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*p**3 - 6*p**3 - 3*p**2 + p - 2 + p**4 - 12*p**3 to y*p + o + b*p**2 + n*p**3 + i*p**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77001762 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -46095, -46097, -46099, -46101, -46103, -46105?\n\"Answer: -2*q - 46093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*u = 880831, -14*j + 2*u + 587244 = -12*j. Suppose 35*l + j = 2160762. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-3))\/((-6)\/27). Suppose -w - o*w = 0. Suppose 0 = -4*n - w*n + 12. Solve 0*i + i + n = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -947.67573613 + -1537519.31980387. Let q = 1538525 + r. Let i = -58 + q. What is i rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -14 - (-35 - -64 - 57)) + -60?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/8531 or -1?\nAnswer: -9\/8531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7332123.\nAnswer: 3, 1493, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 232957169 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15555*a + 1959934. Determine b(-126).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/279?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -2. Let n(y) be the first derivative of -y**3\/3 + 2*y**2 + 2. Let b be n(z). Solve 0 = 4*f - 4*s, 4*f = -s - b*s - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 38. Let d(x) = -x**3 - 6*x**2 + 2. Let q be d(u). Let y = 4 + -3. Solve c + q + y = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-756)\/(-16))\/((-67041)\/(-168844))\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u + 1. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 1. Suppose -4*x + 5*r = -x - 58, 3*x - i*r - 56 = 0. Suppose -2*m + 6*m - x = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17294*i**2 + 3782*i**2 - 4529*i**2.\nAnswer: -18041*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-210))\/((1974\/420)\/47)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by -30.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109497 and 2453117?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 5. Let g(v) = -3. Let h(q) = -3*g(q) + 3*x(q). Is h(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + -114. Suppose -m = -4*v + 251. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 11. Let g be x(11). Suppose 2*j + 3*j = g, 2*j + 15 = -3*y. Let q = y - -9. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**6\/30 + 11*h**5\/20 - 13*h**4\/4 + 49*h**3\/6 - 10*h**2 + 19*h + 3. Find j such that p(j) = 0.\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 5*f**2\/2 - 5*f - 3. Let j be u(2). What is the second derivative of -4*p - p + p**5 + 3*p**j wrt p?\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 4*v**2 - 1. Suppose -h - 11 = -8. Determine n(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 14 = 6*v. Let n be ((-21)\/18 - v) + (-34)\/12. Let j(u) = u**2 - 1. Give j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) - (sqrt(3024) + sqrt(3024)*1))\/(sqrt(18)\/(-1*sqrt(6))))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, o: 1, q: 2, v: 1, r: 1, h: 2}. What is prob of picking 1 o, 2 n, and 1 q?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3545196, 3545157, 3545092, 3545001, 3544884?\n\"Answer: -13*p**2 + 3545209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjurjrpumxuu. What is prob of picking 1 p and 1 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(88) + (sqrt(88) + 1*sqrt(88) + sqrt(88))*-3)\/((sqrt(96)*-3*5 - sqrt(96))\/sqrt(12)).\nAnswer: 13*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1 + 12\/(-28). Let a = 18 - 17. Let f be ((-4)\/a)\/(-4) - 1. Is f != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/7854 and 49\/300025.\nAnswer: 214217850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 + 42*w + 140. Let o be y(-17). Put o, 1, -3, -35, 3 in decreasing order.\nAnswer: o, 3, 1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 11:27 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 570723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 748.1769ns?\nAnswer: 0.000000012469615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10528 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 405635?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -147731.\nAnswer: -147729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 64953412?\nAnswer: 584580708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 6049888.39 to the nearest 100000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + 24. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51619 * 0.12.\nAnswer: 6194.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 9*w**3 - 4*w**3 + 8*w**3.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 144\/(-21))*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtbbmt. What is prob of sequence tt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -126*p + 9934. Determine m(79).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 850 divide 366375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 2)*(-4 - 9 + 0) + (1 + 0 - 3)*(0 - 3 + 5))*(8*p**4 + 36*p**4 - 19*p**4) in the form m*p**2 + z*p**3 + b + n*p + q*p**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxmmmxxxssmmxxm. Give prob of sequence xsm.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -43100b (base 12) in base 10?\nAnswer: -1059275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 92484.35 millennia?\nAnswer: 9248435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, 561, 4 in ascending order.\nAnswer: -4, -2, 2, 4, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 25. Suppose -z = -i*j - 4 - 8, 4*z + 5*j = 23. Suppose 0 = 7*c - 2 - 47. Calculate the least common multiple of c and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 3. Let x be f - -7 - (1 - 1). Is ((-19)\/(-4) + 3)*x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u = 4*b - 18, u + 3*b = 11. Let q(j) = -j**u + 0 - 6*j - 4 + 6. What is the least common multiple of q(-6) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101031013212 (base 4) to base 14.\nAnswer: -85591c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3166044 divided by -75382?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15165815*y**6 + 77776*y**2 - 65*y?\nAnswer: -1819897800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q - 7. What are the prime factors of x(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = 5. Let x(f) = -13*f + 11. Let q(y) = -7*y + 6. Let p(t) = 11*q(t) - 6*x(t). Let u(m) = -2*m**3 - 5*m. What is l*p(s) - u(s)?\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5502 and -0.2002.\nAnswer: -1101.5004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 56 - 104 = 0. Suppose -k*c + 7*c - 5 = 0, -3*f - 3*c = -3. Solve f*r + 3 = -3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859550.9l in millilitres?\nAnswer: 859550900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101000 - -10010110110000?\nAnswer: 10010100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98937.37ms in microseconds?\nAnswer: 98937370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98944924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 - 3*v**2 + 6*v + 24. Let i be o(-7). Let u = i - 255. List the prime factors of u.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3130033 or 15?\nAnswer: 0.3130033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 0*4\/24 - 382*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - o - 32 + 4 = 0, p + 5*o = 16. Is 63\/(-3 - p)*(-331)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -908*s**5 - 3*s**4 - s**3 + 2*s**2 + 47*s - 18.\nAnswer: -54480*s**2 - 72*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**7\/105 + 11*f**6\/240 + f**5\/24 - f**4\/24 + 18*f**2 + 1. Factor y(a).\nAnswer: a*(a + 1)*(a + 2)*(4*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 4. Let m(z) = z**3 - 6*z**2 - 476*z - 22. Let s be m(-19). Put s, x, 2, -2 in ascending order.\nAnswer: s, -2, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6832.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6290839.\nAnswer: 6290839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(320)*1)**2 - sqrt(320).\nAnswer: -8*sqrt(5) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 70 - 7*z)*(-1 + 0 - 3)*(-3 + z + 3) - 4 + 2*z**2 - z**2 + 2*z + 2*z.\nAnswer: 29*z**2 + 4*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 9700723.\nAnswer: 9700723.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 53.9, 1, 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvsldlv. Give prob of picking 2 v and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - 5. Let d(m) = -m**3 - 14*m**2 + 6*m - 13. Let u be d(f). Let s be (-2)\/(-4)*4 - u. What is the highest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -9\/2*d**2 + 0*d + 10 - 17\/3*d**3. What is the second derivative of t(m) wrt m?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -245564? (a) -18 (b) -2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*z**3 + 35 + 22 - 56 + 46 wrt z?\nAnswer: -279*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tot?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29*(1*(-2)\/1)\/((-68)\/(-34))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 10291*u - 1104*u - 26 + 61 to a + h*u and give h.\nAnswer: -11395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/84490*-85)\/((-1)\/(7\/2))?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9.04 * 0.29401\nAnswer: 2.6578504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 1 = -17*d. Let g(l) = 2 + d - l + 15. Let j be g(17). Let h(q) = 3*q**2 + q - 1. What is h(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -16. Suppose -3*r + 110 - 26 = 0. Suppose -2*b = -5*i + 38, 0 = -2*b - 2*b - 2*i - r. Is f less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*k + 4*d - 8*d, -k - 2*d - 10 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*a**2 + 21*a**2 - 31*a**2 - 26*a**2 to the form c*a + d*a**2 + o and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p**2 + 13*p + 2. Let v(d) = 5*d**2 - 7*d - 1. What is -11*v(o) - 6*y(o)?\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -423, 12, -5, 3, 8 in increasing order.\nAnswer: -423, -5, 0, 3, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123\/(55965\/(-4810)))\/(4\/14).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j + 4 = 0. Suppose c - 1 = j. Solve c*b = -10, 3*b + 27 = 5*y - y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(1584) + 0 + -2))**2*-6.\nAnswer: -85752 - 2592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let d be t(2). Find the third derivative of -26*f**5 - 4*f**d - 9*f**2 - 1420 + 1415 wrt f.\nAnswer: -1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*o = 708*o + 3*p - 3, 4*o - 3 = -3*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1304, -5245, -11812, -21005, -32824, -47269, -64340?\nAnswer: -84037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r, m - 3*m - r - 5 = 0. Let u be 11 + m + 1 + 1. List the prime factors of 9\/u*(9 - 1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/82 or -2117.81?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -31*o**4\/4 - 5*o**2\/2 - 1651. Let y(d) = -d**3 - d. Determine l(m) - 5*y(m).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 (base 10) in base 3?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -11\/3 (c) -3 (d) -3\/5 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 - 4*u**2 + 8*u. Let i be b(-6). What is the highest common divisor of 57 and i?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71316 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 9. What is the nearest to 0 in t, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*f**2\/15 - 168*f + 136\/15.\nAnswer: 2*(f - 34)*(37*f - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 30 + 342. Let q = g + -93. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/1800 and 3 + -1 + 1 - (-590)\/(-135000)*678?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b + 15*b + 2*h - 110, -3*h + 15 = 0. Solve -7*i + 12*i = b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 314.0567 + -0.0567. Let u = 313.9859 - p. Round u to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/2)\/((-2)\/(-6)). Put -4, k, -1 in ascending order.\nAnswer: -4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q + 130. Suppose -6 = 2*l, -4*d + 2*l + q = -9*d. What are the prime factors of (-6)\/d*(-3 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14649867 is divided by 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 752 or 750?\nAnswer: 752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -382, -420, -458, -496?\n\"Answer: -38*c - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1719213.2 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, -1 in ascending order.\nAnswer: -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16\/u**(5\/4) assuming u is positive.\nAnswer: u**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21429 - -235927\/11. Let l = 1238\/11 + -112. Determine a, given that 96\/11*a**4 + 8\/11 + 48\/11*a + l*a**2 - r*a**3 = 0.\nAnswer: -1\/4, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/4 - 45*r**3\/4 + 2079*r**2\/4 - 13431*r\/4.\nAnswer: -3*r*(r - 11)**2*(r + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + 0)) + (182 - 186).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*q, 2*d - 30 = 6*d - 2*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 3*h**2\/2 + 2. Let g = -511 - -512. Let f(y) = y + 1. What is g*f(k) - r(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c - 8*c - 10*c - 9*c - 10*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 3\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + z + 2*z**3 + 0*z**3 - 2*z**3 + z**3 to i + o*z**2 + w*z + l*z**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509105.\nAnswer: 5, 19, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 + r + 0*r**2 - 5*r**2. Let m be j(-1). Put 4, m, 5 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*h - 2, 0 = -h + 2. Sort 5, r, 1, 16 in increasing order.\nAnswer: r, 1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74533115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*(6\/2 - (1 - -3))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6\/55 (b) 2\/11 (c) 0 (d) -3\/4 (e) -0.4 (f) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2287, 4117, 5449, 6247, 6475, 6097?\nAnswer: 5077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((2 + 0)\/(-10)) + (-11235)\/(-1605). Solve 47*i + 315 = j*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 5*m**3 + m**3 + 0*m**2 + m**2 to the form k*m + l*m**2 + v + y*m**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 8:07 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**6\/120 - x**5\/30 + x**4\/12 + x**3\/6 - 169*x**2\/2 - 148. Let t(u) be the second derivative of m(u). Give t(4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16*o**2 + 5*o + 12. Let l be f(-7). Let y = -352 - l. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 2. Suppose 2*t = -m*b + 6, -t + b + 0 = -1. Let y be 0\/(-3 - -6 - t). Solve 0*x + x = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22282299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 17 = -3. Put 0.1, m, 9 in descending order.\nAnswer: m, 9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66037576 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of x**3*y + 3*x**3 + 2*x**2 - 15*x*y + 15*y - 169 wrt x.\nAnswer: 3*x**2*y + 9*x**2 + 4*x - 15*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0258 (b) 0.3 (c) 0.2 (d) -4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/1 + (-2068)\/(-9). Let g = n + -228. Let j = -19\/96 + 1\/32. Which is the nearest to -2\/3? (a) -1 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -139987*t**4 + 11501246*t.\nAnswer: -1679844*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (126\/(-45) - -3))*45.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*h - 97, -3*j + 5*h - 109 = 3*h. What is the tens digit of (-5 - j)*2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 = 25*c + 4*c. Let l be (20\/6)\/(10 + 224\/c). Let x = -0.05 - 0.25. What is the biggest value in l, x, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/16 - ((-2261)\/(-1512))\/(-17). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 345114 and 242?\nAnswer: 3796254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o**2 - 2. Let u(a) = -9*a**2 - 2. Give -6*f(r) + 7*u(r).\nAnswer: -21*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 11*x**2 - 15*x + 167. Determine k(-11).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 + -1 + (4 - 3) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -381\/5 - -15977\/210. Find the common denominator of 151\/24 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 divided by -3?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 214.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 3\/2*k**3 + 0 + 9\/2*k**4 - k**2.\nAnswer: k**2*(3*k - 2)*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 12*z = -1764. What is the remainder when z is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133\/3 + 49. Let x = -27\/43 + 511\/129. Factor 0 + 4\/3*r**2 + x*r**4 - t*r**3 + 0*r.\nAnswer: 2*r**2*(r - 1)*(5*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 3, -0.1118?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.04 - -0.04. Let f = -7.25 - -40.19. Let x = f - 33. What is the third biggest value in x, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 148250402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 86743800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 70 = -4*i - i, 2*l = 3*i - 35. Solve -v - 10 = -i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1346\nAnswer: -1346.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -31. Suppose -9*l + 13*l - r = 0. Differentiate 0*v - l*v + 8*v + 6*v - 1 with respect to v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57580064.\nAnswer: 2, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 31. Suppose 7*s - 2*s = u. Let i be 5166\/336 + 6\/(-16). Is s > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 2*x. Let b be l(3). Suppose b*z + 6 = 18. What is the least common multiple of z and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/5 in 4, 5, -5740?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 + 67*h**2 + 5*h + 1158. Determine k(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1045614, 1045465, 1045316, 1045167, 1045018?\n\"Answer: -149*o + 1045763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*v = -466, 5*f + 35*v - 30*v = 2365. Calculate the least common multiple of 90 and f.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37788\/5837 + 238291047\/26645905. Let s = g - 6\/415. Which is smaller: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3))\/(o\/o**(-2\/7)))\/((o*((o\/o**(-2\/7))\/o)\/o*o)\/(o\/(o**(-4)\/o))))**2 assuming o is positive.\nAnswer: o**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 1:28 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255811?\nAnswer: 491, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2456 (base 7) to base 16.\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*x**5 + x**5 + 7*x**5 - x + 6*x wrt x.\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1050 = 5*n, 2*n = -g - n + 1060. Calculate the highest common divisor of g and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 4*x**2 + x + 2. Let c be y(4). Let v = c + -8. Let u(z) = z**3 + 15*z**2 + 2*z + 30. Let w be u(-15). Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyxz when four letters picked without replacement from yyxyzbxyxzyyyyyxxxb?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 61*g + 105*g - 4 + 56*g. Suppose 0 = 9*u - 304 + 277. Is z(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 146\/(-7) + 2\/(-7). Let j = a - -21. Let i = 2.5 + -2. What is the second biggest value in i, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 3:14 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*y + 490, h - y - 106 = y. Let v = -187 + 285. Suppose -h*b - 28 = -v*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*g + 1071 = 1093, 5*w + 4*g - 5 = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33.983 and -1339411680?\nAnswer: 1339411713.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*q + 229*q = 658 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h = 9. Let v = 249 - 242. Solve 4*j - h = v*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 37.\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.5. Let j = 0.04 + -1.04. What is the closest to 1 in j, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.0579 + -0.0579. What is the closest to 0.1 in -3\/2, v, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 236*o + 477. Let p be c(-2). Let k = -37 + 34.9. Let f = k + 2. Is f greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 29*l + 50. What is the units digit of c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/6*(-720)\/252*(-8)\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12648344\/51 or -248007?\nAnswer: -12648344\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55563797 is divided by 1468?\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 2, 5 in decreasing order.\nAnswer: 5, 2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8666641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -13 (b) 0.4 (c) 6\/19 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 230 + 94. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1444, -3026, -4606, -6184, -7760, -9334, -10906?\nAnswer: -12476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48919*a**3*l**3 - 14812*a**2 + 3*l**3 wrt a.\nAnswer: -293514*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 + 5*l + 4. Let n be k(-1). Solve n = 2*r - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from ooyj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 1066. List the prime factors of c.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 31350134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848166 is divided by 269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-100))\/((-6)\/5) + 20\/(720\/1284).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -253957.2458.\nAnswer: -253957.4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + u - 3. Is d(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -75*x**5\/4 + 384315*x**4\/4 + 538389*x**3\/2 - 276777*x**2\/2 - 830655*x\/4 + 415287\/4 = 0?\nAnswer: -3, -1, 3\/5, 5127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 1, m: 1, c: 2, q: 1}. What is prob of picking 1 c and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/27 (b) 0.3 (c) -0.8 (d) -0.3 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.69917km to nanometers.\nAnswer: 69699170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*j**2 - 3358*j - 1000 = 0 for j.\nAnswer: -4, -250\/777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -191*f**3 + 5577*f**2 - 1091*f - 336. What is m(29)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 12. Let a(o) = 4*o + 1. Let c be a(1). What is p(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.06456 (c) -0.4 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - m)*(-5 - 1 + 0)*(0 + 0 + 2).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -3 (c) -1\/38 (d) 725.1 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11493 - -12369. What is the lowest common multiple of 146 and z?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b + 8*b**3 + 10*b)*(-b**2 + 2*b**2 - 2*b**2) + (-10 + 10 + 4*b)*(4*b**3 + b**4 - 4*b**3) + 3*b**5 - 80*b**3 + 80*b**3.\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-5 - 0) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 18*m**2 + 461*m**2)*(-9 + 9 - 12*m**2) + (-4*m + 3*m + 0*m)*(m**3 - m + m).\nAnswer: -5737*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 + 738. Let s = t - 351. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9976340 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(972) + 1*sqrt(972))*-3)\/(sqrt(108)\/(sqrt(144)\/(-2*sqrt(12)) - sqrt(12)))*-2.\nAnswer: -108*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -425*w + 37085. Calculate q(87).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 11 - z**2 - 5*z**2 - 14.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n - 169 = -105. Are -17\/212 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2*(-6)\/75*3125\/(-125))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(6622\/43)*(-120)\/(-12).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1865896999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3849304*n**3*w**3 + 543*n**2*w + 2*n**2 - 10*n*w + 35*w**3 wrt n.\nAnswer: 23095824*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:15 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(280)\/(sqrt(15)\/sqrt(3)) + sqrt(56))\/sqrt(8))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*c - g + 318, 0 = -c - 5*g + 46. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2712192 by -678048.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 6*t**2 + 7*t - 1. Let d be 21*5\/15*-1. Let w be k(d). What is the smallest common multiple of 5 and (w - 1) + (4 + -3 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6402998836 + 0.6403. Round x to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d**2 - 11*d**2 - 16*d**2 - 32*d**2 - 4*d wrt d?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -522230000 to the nearest 1000000.\nAnswer: -522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(-3)*-4*(-9)\/(-24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*f + 67*f - 8 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1226 + -157221?\nAnswer: -155773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27908, 55802, 83674, 111524, 139352?\nAnswer: 167158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 3*a - 2 + 0*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p + p**4 - 5*p + 2*p**2 + 1 + 2*p**3 + 6*p + 0*p**4 as g*p + u*p**4 + a*p**3 + d*p**2 + o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*o + 1219 + 2234 = -x, 10*o - 137 = 5*o - 5*x - 77 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1004 + 10?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 443425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 1)*(29*b**4 - 13*b**4 + 16*b**4).\nAnswer: -224*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419.802um in millimeters?\nAnswer: 6.419802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**3 + 38*x**2 - 54*x + 127. Let b(k) = 4*k**3 - 19*k**2 + 28*k - 63. Let q(h) = 3*a(h) + 7*b(h). Let f be q(17). Is f bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4321995?\nAnswer: 3, 5, 17, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(10\/5)\/(-1*4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 511587341 to the power of 1\/2, to the nearest integer?\nAnswer: 22618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15903213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -13 - 77. Suppose -u + 0 = a. Let f be 3\/u - (-183)\/18. Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 5*w + 0*w - 20 = 0, -27*o + 9*o - 3*w + 86 = 2*w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -896 + 900. Let d be -10*(-68)\/(-312) + (6 - c). Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1291 - -1299. Solve -4*j - a = -v, -3*v = -6*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*5 + (-252)\/(-36). Solve -5*z - j*m - 4 = -13*m, -5*m = 2*z + 34 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209426 and 8030846.\nAnswer: 4274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88.0751 - -0.0751. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 463 = -2*g, -4*g - 186 = -48*j + 29*j + 21*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 (base 8) in base 7?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, -94, 18 in decreasing order.\nAnswer: 18, 0, -13, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 6*a. Let b be m(-5). Let z = -72 + 103. Let c = b + z. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108b (base 14) to base 12\nAnswer: 17ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-521703)\/(-99372)*116\/(-21)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1.3, -9, -3, 10, -2\/19 in descending order.\nAnswer: 10, 0.4, -2\/19, -1.3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 2*q**3 + q**4)*(424 - 209 - 176 - 12*q).\nAnswer: -12*q**5 + 39*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 3780.\nAnswer: 29\/945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-264))\/((-6)\/72)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131056238441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3920, -7819, -11700, -15557, -19384, -23175?\n\"Answer: v**3 + 3*v**2 - 3915*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {p: 1, g: 2, i: 3, d: 1, n: 2, f: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -47, -45, -43, -41?\n\"Answer: 2*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z. Let k(f) = -3*f + 4*f + 0*f - 4*f. Let o be ((-8)\/3)\/(2\/(-3)). Suppose -o*n + 2*h + 3*h = 23, -h + 5 = -n. Give n*t(v) - 5*k(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - ((-12 - -4) + 9 + 8)) + 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 8:58 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.082 + 0.118. Which is the biggest value? (a) -2 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 108, 120, 136, 156, 180?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2721)\/3)\/((-2)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 96 = -981. Let t = -167913\/4730 + -1\/2365. Find the common denominator of t and (2\/(-6))\/((-10)\/x).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14 + 16 + 3*o - 24*o. What are the prime factors of y(-3)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -602, -829, -1208, -1739, -2422, -3257, -4244?\nAnswer: -5383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i + 30. Let l be d(-9). What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1189243 - -0.68?\nAnswer: -1189242.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9219.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2140753 - 1443107 = -147*d. Does 230 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 5*r - 25. Is w(-26) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72300 is divided by 24059?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 2721, 6241, 11151, 17439, 25093, 34101?\nAnswer: 44451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24*(3 + 20 - 3)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27 = -0*a. Suppose 0 = 81*p - 6270 - 939. Let k = p + -68. Solve -l = u, -3*u + a = -3*l - k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91 - 44. Let z = 25 - q. Let d = z + 21.991. Round d to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 48 = -u. Let v = 16 + 19. What is the remainder when v is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + (-12708)\/(-396))\/(10\/((-550)\/(-1285)))\nAnswer: 1\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znn when three letters picked without replacement from {z: 1, m: 6, d: 8, n: 2, q: 1, e: 2}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25141637 to the power of 1\/2, to the nearest integer?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.2 - 11.9. Let p(k) = -k**2 - 10*k + 13. Let s be p(-11). Put 1\/2, v, s, -4 in decreasing order.\nAnswer: s, 1\/2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-630)\/(-4284))\/((-230)\/(-391))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851.7 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16782206, 16782207, 16782208, 16782209, 16782210?\nAnswer: 16782211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59702 is divided by 201.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 11, -2\/3, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 11933715 + 11933715.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5844481, 5844456, 5844429, 5844400, 5844369?\n\"Answer: -q**2 - 22*q + 5844504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -72 in increasing order.\nAnswer: -72, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-c**2 - 2*c**2 + 4*c**2)*(-2 + 1 + 0) + 3 + 14*c**2 - 3)*(-25 + 14 + c + 15) to g + k*c**2 + r*c + o*c**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -12 - (12 - 6 - 15)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42276852 at least 42276852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27542280?\nAnswer: 2, 3, 5, 229519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6967 + 6970. Put -2, d, -4, 2\/7, -3\/44 in increasing order.\nAnswer: -4, -2, -3\/44, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1376 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -20 - (-2 + 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + 0*z**4 + 2*z**4 - 4*z**4 + 2*z - 1 - 2*z + (-z + z**2 + z)*(-23*z**2 + 10*z**2 - 3*z**2).\nAnswer: -21*z**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*a + 2*j - 18 = 98*a, 4*a + 5*j + 10 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 641.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 12. Determine t(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132168 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1 - 3*y + 0 - 1. What is t(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -7530221191?\nAnswer: -7530221193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiuv when four letters picked without replacement from {v: 2, h: 1, u: 2, j: 2, l: 1, i: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.99896 - 1. What is k rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 18*v**5\/5 + 15*v + 15. Differentiate a(f) with respect to f.\nAnswer: 72*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**4 + 9*y**4 + 7*y**4 + (-3 + 3 + 1)*(-y + 3*y**3 + y)*(919 + 66*y - 919).\nAnswer: 208*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 101, 108, 115, 122, 129?\n\"Answer: 7*g + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(304) + (sqrt(133)*1 - sqrt(133))\/sqrt(7) + -5))**2.\nAnswer: 480*sqrt(19) + 11044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**0*y)*y*y**(5\/6))\/(y**0\/y)**(-35))\/((y**0)**(-3)\/(y**(-8)*(((y\/y**(-2\/13))\/y)\/y)\/y)) assuming y is positive.\nAnswer: y**(-3433\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (1 - -2) + ((-31 - -22) + 18 - 17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8917 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26 + -17.26. Let y = z + 16.9. Which is the nearest to y? (a) 2\/7 (b) 1\/2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100309645.\nAnswer: 5, 19, 31, 34061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8650 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 10) to base 4\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {j: 7, y: 9}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 3 = 0. Let g be (-5)\/((-10)\/18) - (0 - a). Suppose -5*p = -g*p + 324. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1888380 by -29052.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - -3) + -3 + 7. Let d be (-12)\/(-10)*(-15)\/(-3) + m. Suppose 0 = -d*h + 69 - 21. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*h**2 + 180*h**2 + 192*h**2 + 186*h**2 + 190*h**2 + 195*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80158, 80255, 80354, 80455, 80558, 80663, 80770?\n\"Answer: z**2 + 94*z + 80063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 2, 0, 4, -32, 9, -4 in increasing order.\nAnswer: -38, -32, -4, 0, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 295*o**3\/2 + 2041*o**2\/8 - 79*o + 3\/2 = 0. Calculate o.\nAnswer: -2, 6\/295, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 5, -0.5, -128, 0.03, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68246.84 centimeters in meters?\nAnswer: 682.4684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3326400 to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 - 3. Let m = 6 - 11. Let w = m - -17. What is the smallest common multiple of u and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdqqrqrqrlr. What is prob of picking 1 l, 1 q, and 1 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1368\/266*508\/(-1524).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-100)*-53 + -1 + -2 + -2.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -713*x**3 - 2304*x**3 - 2501 - 1687 wrt x.\nAnswer: -9051*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 12*w + 16. Let y be k(-13). Suppose 0*g + y*g - 3 = 0. Which is the closest to g? (a) 3\/5 (b) -2\/21 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 7*k + 25)*(5*k**4 - 5*k**4 - 2*k**4) + (k + 2*k - k)*(-2 + 2 + 6*k**4)*(-5 - 11 - 3).\nAnswer: -242*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -750291\/20 - -37704. Let v = -779\/4 + g. Calculate the common denominator of -44\/63 and v.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:52 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 263769?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/53130 and 93\/4094.\nAnswer: 4728570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -123\/4. Is 0 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1089 and 594.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 + -22 + -21 + 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126691986 to the nearest integer?\nAnswer: 11256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5496 - -4?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22052.73ml in litres?\nAnswer: 22.05273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 + 3*u**3 + 2*u**3)*(740 + 19*u - 740)*(-3*u - 3*u + 7*u) + (-2*u**3 + 6*u**2 - 6*u**2)*(0*u**2 + 0*u**2 - 2*u**2).\nAnswer: -34*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-24) - 186\/(-24)) + -2. Solve -1 = -x*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -22*n + 264. Let k(a) = 43*a - 573. What is 13*f(x) + 6*k(x)?\nAnswer: -28*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 22*q**2 + 24*q - 11. Let m be j(23). Calculate the least common multiple of (90\/(-25))\/(m\/(-40)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -1302\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 0)*(6 - 7 + 11)*(4*i**3 + 9*i**3 + 3*i**3) in the form h*i**2 + s + k*i + o*i**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/9 (b) 0.05 (c) -0.441 (d) 4 (e) 0.3 (f) 17307\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/60 + v**4\/12 + 2*v**3\/3 - 4*v**2 - 10*v. Give g(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*j = -b + 6, -j = -1. Let l = -5 + b. Let a = l - -3. Is 3 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k + 140. Give f(45).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24655 is divided by 186.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 - 235200*g**2 - 940865*g - 705660 = 0. What is g?\nAnswer: -3, -1, 47044","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 466 - -271. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 68636.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1584\nAnswer: -1\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 divided by 5?\nAnswer: 1302\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4172, 4197, 4250, 4343, 4488, 4697, 4982, 5355?\n\"Answer: 2*m**3 + 2*m**2 + 5*m + 4163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 163756?\nAnswer: -5\/163756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 259624?\nAnswer: 1298120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448) + sqrt(1372)*-2)\/(sqrt(4) + -2*sqrt(4)*4 - sqrt(4)*-1*-6).\nAnswer: 22*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -859*k - 850. Give o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/25, 5, 2\/3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 169 = -3*x, 2*a - 4*a + 318 = x. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.842 * -152\nAnswer: -1799.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 936.8 and 52.\nAnswer: 988.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 80\/7*t**2 - 4\/21*t**3 - 92 + 0*t. Factor v(u).\nAnswer: -4*u*(u - 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -41, -25, -3, 25, 59?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, y: 6}. Give prob of picking 2 x.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:21 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(1\/3))\/(j**2\/j))**(-47)*((j*j**(1\/2))\/j**(3\/2))\/((j\/j**(-1\/2))\/j)**35 assuming j is positive.\nAnswer: j**(-293\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/4 + 61*n**4\/4 - 39*n**3\/2 - 244*n**2 + 248*n = 0. Calculate n.\nAnswer: -62, -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrtgrrrrrrrrrrtrrrr. Give prob of sequence rt.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 27. Let x(g) = -23*g + 1. What is the tens digit of x(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248)\/(-60) + 18\/(-135)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2. Let p(t) be the first derivative of t**5\/120 - 10*t**3\/3 - 7. Let x(i) be the third derivative of p(i). What is g(x(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251 + 131 + 439*m**3 + 120 + 2846*m**3.\nAnswer: 3285*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 78019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -30 - (-65 - -71).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n - 7980 + 10146 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201947 a multiple of 521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 40. Suppose g = -4*d - d. Suppose d = 6*h + 136 - 610. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7.6. Let z(t) = t**2 - 10*t - 21. Suppose -5*o + 84 = 24. Let x be z(o). Sort -2\/13, x, c.\nAnswer: -2\/13, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47012 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**2\/h*h)*(h\/(h*h**(-1\/4))*h)\/h)\/(h\/h**(-1\/2)*h*h**4)*(h**(-6)\/(h\/(h*h**(2\/11)\/h)))**(2\/87) assuming h is positive.\nAnswer: h**(-9451\/1276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*z - 19944 = 259*z - 722*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/8199 and 2\/30063.\nAnswer: 90189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 47 = 4*p - 2*l, -p - 34 = 3*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*f + 5*w, -28 = 3*f - 4*w. Let i be ((-3)\/f - 0)*8. Solve 0 = 3*x + i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-9)\/(-6))\/(9\/42) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1460485 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2808 = 8*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 3*g - o - 32, 0 = -4*g + 2*o + 8. Suppose 3*a + 28 = -4*j, 0 = -2*j + 3*a + 4. Put j, g, 0.4 in descending order.\nAnswer: g, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 0.0291, 0, -4, 0.03?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 146622, -2630, 3 in descending order.\nAnswer: 146622, 3, -2630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*d - 6556, 14*d = 2*n + 17*d - 13105. Calculate the highest common factor of 116 and n.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 450*g - 10137. Let d(t) = 2*t - 47 + 0*t + 45 - 2*t + t**2. Let h(x) = b(x) - 6*d(x). Factor h(f).\nAnswer: -5*(f - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0407*5\nAnswer: 0.2035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44719662.7329 - 165.\nAnswer: -44719827.7329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/11917441?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56652 and -4.0606688?\nAnswer: 56647.9393312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2) - -1)*-6. Let h = 3 + u. Put -4, h, -5 in descending order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -57.942.\nAnswer: -57.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 165396\/224 + 6\/(-16). Let a = b - 2209\/3. What is x in 11\/3*x**2 - a*x**4 + 0 + 4*x**3 - 2*x = 0?\nAnswer: -1, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1463, 5511, 12267, 21737, 33927, 48843, 66491?\nAnswer: 86877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1c80a38 (base 13) to base 16\nAnswer: -912666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/(-3)*-2 + -3 + 1. Which is greater: 26 or s?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 6 - 18)*(-z**5 + 5*z**5 - 2*z**5 + (3 - 5 + 0)*(z**2 + 2*z**5 - z**2)) - z**5 - 4*z**3 + 4*z**3.\nAnswer: -21*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -638 divided by -22?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 1, n: 2, l: 2, e: 1}. What is prob of sequence mvll?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(500) + -2 + sqrt(500) + 1 - (2 + sqrt(500) + 2)))**2 + ((sqrt(500) + -2)*5 - (sqrt(500) + 4 + 0)).\nAnswer: -2460*sqrt(5) + 13111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 5*s**2 + 6*s**2 - 4*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1785, 5465, 11119, 18747, 28349?\nAnswer: 39925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 43*q**2 - 113*q - 64. What is r(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-281)\/(-3 + -1 + 3). Let r = j + -3655\/13. Let o = 0.173 + 0.027. What is the third biggest value in -0.3, o, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 1062650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**5 + 21*o**4\/4 + 3*o**3 - 21*o**2\/2 + 6*o + 6. Suppose u(a) = 0. What is a?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 2, -11, -22, 4 in decreasing order.\nAnswer: 77, 4, 2, -11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/((w\/(w\/((w*w**1*w)\/w)))\/w*w))*w*w)*w)**(-25)\/(w**3)**39 assuming w is positive.\nAnswer: w**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 363125 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -1.1. Which is the third smallest value? (a) -5 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*c + 6, -c = 2*q - 4*c - 16. Suppose 24 = p + 10. Suppose 9*g = q*g + p. Solve 0 = -4*n + g*m, n + 3 = 2*n + m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4 - 2774*n**3 + 1003608*n**2 - 28728216*n + 77226912 = 0. What is n?\nAnswer: 3, 28, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.437444 decades to months.\nAnswer: 892.49328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 + 15*r**2 - 8*r - 8. Let j(n) = 3*n**3 - 10*n**2 + 5*n + 5. Calculate 8*j(s) + 5*l(s).\nAnswer: 4*s**3 - 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-21\/5)*v**16)\/(v\/(v\/(v\/((v\/(v\/v**(-3\/8)))\/v)))*((v*v\/v**(-1\/12))\/v)\/v) assuming v is positive.\nAnswer: v**(1121\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 63625*h**3 - 1018*h - 509. Let t(f) = 501*f**3 - 8*f - 4. Calculate -509*t(i) + 4*v(i).\nAnswer: -509*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/10 - 2\/5. Let t(d) = d**3. Let o(q) be the third derivative of q**6\/60 + q**2. Let m be (-2 + (-5)\/(-4))*-12. Calculate l*o(y) + m*t(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 417175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -177765796*a*s**3 + s**3 - 2*s**2 - 13957*s - 431 wrt a?\nAnswer: -177765796*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -44 - 11 + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -226580761.\nAnswer: 226580763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -310a (base 11) in base 5?\nAnswer: -112444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (156 + 8*q**2 - 156)*(-2 + 4 - 3)*(-4*q + q + 4*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + 4 + (sqrt(1872) + sqrt(1872) + 1 - sqrt(1872)) + -5 - (5*-1*sqrt(1872) + 1 + 3*sqrt(1872)))**2.\nAnswer: -33714 - 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -630 greater than -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10328*f**2 + 5164*f**2 + 2508 + 5165*f**2 + 7538.\nAnswer: f**2 + 10046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000840648813 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 22. Let c be g(9). Is 59873\/44 - (1 + (-5)\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19591, 19550, 19511, 19474, 19439, 19406?\nAnswer: 19375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -32, -5 in increasing order.\nAnswer: -60, -32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.27 (b) -105 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1372, 5619, 12704, 22633, 35412?\n\"Answer: b**3 + 1413*b**2 + b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 11*t = -56753. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)\/((-4)\/(-6)). Let s(z) = -13*z + 53. Let a be s(4). Let l(c) = 5093*c**2 - a - c + 5*c - 5094*c**2. Give l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11071000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129751*a - 129752*a + 22 = -5*h, -13*a + 30 = -h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbb when three letters picked without replacement from {b: 3, g: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, m: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*s - 0*s - 4*u, -4*u - 4 = 0. Calculate the remainder when s is divided by ((-7)\/2)\/((-1)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296\/(-148)*3\/(-9)*(-9)\/114\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41103002 (base 5) in base 2?\nAnswer: 1010000111101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61468872 and 5423724.\nAnswer: 184406616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 2:15 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 547 and 1283809.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(44))**2 - sqrt(99)*1.\nAnswer: -3*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:23 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313198 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 109824216 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 6, -4*a = -0*w - 2*w - 6. Suppose a = -21*i + 618 + 390. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 20121?\nAnswer: -20120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -1369 in decreasing order.\nAnswer: 4, -3, -1369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75\/38 - 43\/1254. Let l = j + -36\/11. Put 3, l, -1\/4 in descending order.\nAnswer: 3, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2962005 is divided by 756.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 14 - 5) + (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q = 45. Let z = q + 13. Let l = z - 4. Sort -2, -1, l in descending order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 - 5 + 4*s + 3*s - 2*s + 6*s**2. Let v(g) = -g**3 - 3*g**2 - 3*g - 3. Let p be v(-3). Is x(p) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 15*b**3 - b**2 + 1. Let m be d(1). Suppose 21 - 5 = 4*p, -n - p + 14 = 0. What is the greatest common divisor of m and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {n: 2, z: 1, w: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psllssslyyylgsllms. Give prob of picking 1 s, 2 y, and 1 l.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01688 - 1?\nAnswer: -0.98312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/(-7) - 45\/35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3031 and -67\/406?\nAnswer: 175798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -23*m**6\/6 + 5*m**2 - 5. What is the second derivative of y(g) wrt g?\nAnswer: -460*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, 5, -0.1, 1\/12, 0, 2\/675 in descending order.\nAnswer: 53, 5, 1\/12, 2\/675, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1603788724 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48087 - 28297. What is d rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1293547 is divided by 258681?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10078 + -10071. Solve o*r = -9 + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49180 is divided by 13244.\nAnswer: 9448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/(i\/i**(5\/9)*i)*i)\/i))**(5\/8)\/(i**(-1\/6))**(-3) assuming i is positive.\nAnswer: i**(29\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -1\/2*i**3 + 0*i + 1\/120*i**6 + i**2 - 7\/24*i**4 + 0 + 1\/12*i**5. Suppose 0 = -2*y, h - 5*y + y + 6 = 0. What is q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(3 + (4 - 11)). Suppose -4*z - h*p + 3984 = 0, -5*z + 4930 = -8*p + 3*p. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = 3*l - 23, -2*s + l - 1 = 0. Let y = -2 + 5. Let n = y + -3. Solve -2*f - 5*i - 2 - 6 = n, i + s = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258*0.5\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 33598200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 37310.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -13424\nAnswer: 7\/13424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*(-225)\/18360*3\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 4. Let s(g) = 1. Let j = 5 + -3. Let r = 1 - j. Calculate r*b(t) + 3*s(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 453570?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/10)\/h**(2\/13)*h**(-4\/5)*h**(1\/4)*((h\/(h\/(h*(h\/h**(-2))\/h)))**41)**(-42) assuming h is positive.\nAnswer: h**(-1343369\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2495528 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55901569?\nAnswer: 23, 2430503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 3*u + 2. Determine p(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03012 + 5484?\nAnswer: 5484.03012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 c when three letters picked without replacement from {c: 3, z: 3, h: 1, r: 2, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 3*c + 11, 2*c + 2*c - 8 = -t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of 3119*t**3\/3 - 560*t**2 - 205*t - 4. Differentiate c(v) wrt v.\nAnswer: 6238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 - 61.2. Let t = 0.169 - 4.169. What is the second biggest value in -5, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3289 = 1647 + 1587, 24*k = 2*h + 118 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320200 - -323311?\nAnswer: 1310111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*y**3 + 752*y - 752*y + (-1 + 1 + 3*y)*(y**2 - y**2 - 7*y**2) - 5*y**2 - 12*y**2 + y + y**3 + 18*y**2.\nAnswer: 18*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6739077273 to the power of 1\/3, to the nearest integer?\nAnswer: 1889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -32*d - 48. Suppose 0 = 3*c + z + 17, -4*c + 2 = 5*z + 32. What is the remainder when v(c) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3\/3 + 129403*a**2\/3 + 4186478200*a\/3 + 4186090000 = 0?\nAnswer: -64700, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 35870.1.\nAnswer: -7174.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijji when four letters picked without replacement from jninnjii.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, z: 7, t: 4, y: 4}. Give prob of sequence zt.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 + 3350*c**2\/9 - 4400576*c\/9 + 1120830976\/9.\nAnswer: 2*(c - 464)**2*(c + 2603)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 2, e: 10}. Give prob of picking 1 h and 2 e.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + 42)\/((-2)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - 4*sqrt(98)\/sqrt(2))\/(sqrt(35)\/(sqrt(5) - sqrt(20))) + -3 + 5*-5*(sqrt(7)*-1)**2 + 3.\nAnswer: -175 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4895*k + 4896*k - 2*a - 7 = 0, -8 = -4*k + 3*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-556)\/(-5560))\/(1\/((-110)\/(-4)))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25558779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 39*h - 124. Solve -h*p = 2*o - p + 23, -4*p = 2*o + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**8\/840 + 3*x**2\/2 - 4. Let g(v) be the second derivative of i(v). Find q such that g(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -8. Suppose 6*j = j + n. Suppose p = 4, 2*p - 5*p + 122 = j*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6470861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/16081, 2\/23, 2\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/2187, -5\/4, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13737361 (base 8) to base 11\nAnswer: -1847a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/7 + 64*y**4 - 126*y**3 - 1348*y**2\/7 + 3560*y\/7 - 1776\/7 = 0. Calculate y.\nAnswer: -2, 1, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-208)\/1144 - 293\/22 - -9\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 + 570*t**5 + 25*t**3 + 2*t**2 + 294232?\nAnswer: -120*t**3 + 34200*t**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-51)*(-2466)\/(-4384))\/((1\/(-3))\/1)\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*h + 3645 = -3175, -4*q = h - 5471. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 2*g + 2. Let a be p(-2). Find the third derivative of -3*u**3 + u**2 + u**3 - 3*u**a wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3357599290928+0\nAnswer: 3357599290928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -t + 4*j + 71, 0 = -2*t + 3*j + 484. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25056 and -5.\nAnswer: 125280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.2? (a) -12 (b) 3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) + -1).\nAnswer: -16*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 35 = 8*a. Let f = -6 - a. Solve -3*m + 8 = -f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -10, 0*j + 2*r - 230 = -2*j. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**6\/30 + a**5\/10 - a**4\/12 - 13*a. Factor r(v).\nAnswer: -v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000078093 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192604.020021 - 192574.02. Let v = -29.67 + -0.33. Let b = v + h. Round b to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchrhocgochg. Give prob of sequence chcg.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 + 76 = -91*t - 606 - 398 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11) + -1 + sqrt(22)\/sqrt(2))**2*6*-1*-5.\nAnswer: -180*sqrt(11) + 3000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 310 in 3\/7, -7.136, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r = 69*r - 368. Let h = 116 - r. What is the remainder when 65 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896640 is divided by 1518?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 16*k = 20. Let z(c) = -2*c**2 - 18*c + 6. Suppose -10*o - 27 = -7*o. What is the lowest common multiple of k and z(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 108\/(-28))*(-9898)\/404?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 7*i**2 - 4*i - 1. Let k be v(-7). Let p = 37 - k. Solve p = 5*s - 10, 0 = 3*y + 3*s - 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3995 + 3994. Let x(k) = -2. Let u(s) = 5. Let b(z) = -3*u(z) - 7*x(z). Let m(q) = 2*q - 7 + 1 + 1. Calculate g*m(y) + 4*b(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 0 + 4\/3*r**3 + 0*r**2 - 5*r. Let n(q) = -3*q. Let t(u) = -u. Let p(d) = -n(d) + 4*t(d). Determine i(p(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(5\/(-10)). Let w(a) = a - 5*a**2 + 2*a**3 + 4*a - a**3 - 2. Let t be w(c). Sort t, -1, -4 in descending order.\nAnswer: -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-12 + 2)) + 1*-4. Let m be (-3 + 52\/4)\/((-3)\/(-9)). Let k be (-20)\/m - (-23)\/o. Is k at most as big as 31\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, q: 6, p: 4}. What is prob of sequence opp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -64.1 and 796.25706917.\nAnswer: 732.15706917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -84*b**2 - 506*b + 4. Let d be k(-6). Solve 12*i + 12 = d*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -249604*p**2 - 242053*p.\nAnswer: -499208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 18505a7 (base 13) to base 9\nAnswer: 15842826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178380888 + -178381462.388156. Let b = -592.3882 - m. Let n = 18 + b. What is n rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {f: 1, p: 1, j: 1, i: 2, y: 1, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3 + 14 - 15*g - 2 + 8*g. Calculate q(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 21 - (2 - (6 - 6) - -3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9365*z**2 + 9370*z**2 - 18648*z**2.\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 276 - (-8 + 14). Is 269 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*v**2*w**3 - 19*v**2*w + 2*v**2 - 4852*v*w**4 + w**2 + 9735*w wrt w.\nAnswer: -312*v**2*w - 58224*v*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181\/2 + -91. Let t = -1 - -5. Let g = -38.79 - -39.03. What is the closest to o in 0.4, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34.56 * 5119\nAnswer: -176912.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 156*b**2 - 26. Let h(n) = -31*n**2 + 5. Let a(m) = -26*h(m) - 5*i(m). Let u(l) = 26634*l**2 - 13312*l**2 - 13325*l**2. Give u(a(g)).\nAnswer: -2028*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -536\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34)\/(-10) + 4\/(-10). Let y(p) be the second derivative of -2\/3*p**3 + 2*p + 2*p**2 + 10. What is y(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2\/3 (c) 1\/5 (d) -2.29 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b71022 + 3?\nAnswer: -b7101b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**3 - 86016*k**4 + 117*k**3 - 2 - 5*k**2 + 86015*k**4 in the form u*k**4 + r*k + s*k**3 + q + w*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44.2 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z. Let g be 8\/(-6) - (-50)\/6. Solve z = 5*s + 4*k - 16, 4*s - 4 = -5*k + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.8 - -45. What is the nearest to -1 in x, -1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 699368533?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19 - 4*v + 4*v + 2*v + 0*v + 0*v. What is r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 36 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326707266 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*2)**2 + -4*(sqrt(14)\/sqrt(2) - sqrt(7)).\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*k**2 - 40*b**2*p - 2*b*k*p - 6*k**2 + p wrt k?\nAnswer: -2*b**2*k - 2*b*p - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - -1*sqrt(2736))*4 + (sqrt(2736) + sqrt(2736)*-1)*-2 - ((-3 + sqrt(304))*-5 + 1))**2.\nAnswer: -3712*sqrt(19) + 255920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 2 = 0. Let f(m) = -m**3 + m**2 - m. What is f(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 8:40 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56583557 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 = 768.6 + -768.9349. Let w = y + 0.31. Round w to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**2 - 52*x**4 - x - 45*x**4 + 131*x**4 - 33*x**4 + 2 to the form y*x**4 + a*x**3 + s + q*x + k*x**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 3}. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - 11*g**2 + 15*g - 5. Let y be k(6). Let z = y - 326. Calculate the smallest common multiple of 33 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, 8, 40, 78, 122, 172, 228?\n\"Answer: 3*v**2 + 17*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * 0.01.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4 - 1. Sort -1, -0.4, l, 4.\nAnswer: -1, -0.4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 1 - (23 - 32).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/39940 and -7\/2.\nAnswer: 39940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = k - 3, 3*k = 8*z - 12*z + 29. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-8)\/(-130))\/((160\/(-25))\/(-4)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 40 = 3*p. Calculate the remainder when 76 is divided by p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33722?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -190, -173, -138, -79?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 911664.8 to the nearest 10000.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*i + 158 = 48*i - 8956 - 14 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111.3 - -111. Let i = -0.15 - -0.05. Put 1, w, i in descending order.\nAnswer: 1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -0.1, -30 in decreasing order.\nAnswer: 2, -0.1, -0.2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/40 - 16999\/(-8) - (-12)\/(-8). What is the highest common divisor of 33 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3)*3 - -5480. Suppose 0 = 3*y + 5*l - 10045, -5*y = 2*l - r - 11267. Suppose -3*p = 0, 5*s - p - y = -0*p. Round s to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 0.381148.\nAnswer: 6.479516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 n when three letters picked without replacement from {l: 1, i: 1, b: 2, n: 1, y: 1, w: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 0, -5, -2\/25, -0.4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 11*o**2 + 11*o + 1. Let k = -40 - -77. Suppose 5*x - 3*r - k = -0*x, -5*r = -x + 25. What is the remainder when s(10) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 76 = -5*v - 335, 2*v = q - 271. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 8 + 1 = 3*f, 3*c - 13 = -f. Suppose 0 = c*r - 3, n - 5*n + 4*r + 68 = 0. Let o = -10 + n. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 3*(-8)\/108*-15. Let l = -3 + 4. Which is greater: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4 - 4 + 29*x**2. Let n = -196 + 192. Let o(p) = -4*p + 10. Let f(l) = -3*l + 8. Let k(q) = n*o(q) + 5*f(q). Calculate k(y(j)).\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:58 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/355 or 1\/8?\nAnswer: 6\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 34*w**3 - 2*w**2 + 43*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 29581856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139 and 1042778?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(1\/18). Let t = o + -5. Solve q = -2*u - 3, -14 = 2*q - t*u - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*v = 232*v - 63 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 524 or 523?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2355557 to the nearest integer?\nAnswer: 1535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + 40 - (-36780)\/(-300).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903948023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2 in descending order.\nAnswer: 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 25017768 divided by 24\nAnswer: 1042407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + j + 35 = 0, 4*j - 36 = 2*c - 106. Suppose 7*f - 37 = 9*f - q, 0 = -f + q - 16. Let d = f + c. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3537, 3485, 3351, 3093, 2669, 2037, 1155?\n\"Answer: -7*w**3 + w**2 - 6*w + 3549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*y**3 + 1698*y**3 - 2836*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011049563 rounded to 7 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.5022.\nAnswer: -0.4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/112)\/((-25)\/(-50)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108179?\nAnswer: 108179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1159392272 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (6 - -1) + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 33865997 + 0.5071\nAnswer: 33865997.5071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/((-245)\/14))\/(4\/6))\/(3\/(-51)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2078, -1623, -864, 205, 1590?\n\"Answer: w**3 + 146*w**2 + 10*w - 2235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046534 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 - 2*l + 3. Let v(j) = -j**3 - 3*j**2 - j + 3. Let i(g) = -3*h(g) + 4*v(g). Determine i(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 10768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000699 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 9, -2\/3, -1\/6, -621\/56, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4876 rounded to 2 dps?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214805976 less than 0.172?\nAnswer: -4214805975.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 35. Let d be (-6)\/b - 88\/14. Let n be (-2 - 0) + (-54)\/d. Solve 5 + n = -4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -2\/246671?\nAnswer: -2\/246671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**2 + 123*x**3 - 125*x**3 + 16*x**2 - 42*x**2.\nAnswer: -2*x**3 - 79*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*((-208)\/18)\/4)\/(3653\/(-32877)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 - (-19 - -1) - (2 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -42568 and -42264 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - -112?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 9 = -3*v. Let b(q) = -v - 3*q**2 + 2*q**2 - 23*q + 3. List the prime factors of b(-19).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -29651547*r**2\/5 - 385470117*r\/5 - 78\/5 = 0.\nAnswer: -13, -2\/9883849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4911?\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -247*r**6\/60 - r**5\/60 + r**3\/2 + 22*r**2 + 4*r. What is the third derivative of u(j) wrt j?\nAnswer: -2964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u + 27 + 12*u - 10. Let o be g(-11). Let m(l) = 12*l + 23. Is m(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*l**4 - 8*l**5 + 48*l**2 - 68*l**4 - 72*l**4 - l - 2130 + 203*l**4 wrt l.\nAnswer: -160*l**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -6, -4, 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**3 + v**2 + 2. Let l be z(2). Let w be 3 + 195\/l + 1\/2. Which is the second smallest value? (a) -0.9 (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 8*s + 7. Let z(c) = -c - 1. Let q(a) = a**2 + 10*a - 12. Suppose 3*n - 5 = 4*l + 42, 0 = -3*l + 3*n - 39. Let i be q(l). What is i*z(x) - 4*d(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757 by -1.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3550 divided by 25\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623382?\nAnswer: 2, 3, 107, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3123*b**3 - 1 + 6265*b**3 + 7.\nAnswer: 3142*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fasfffhoohfffqf. What is prob of picking 1 s, 1 h, and 2 f?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17860 - -5?\nAnswer: -1785b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, 0.481, 5, 1\/129, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(3\/(-9) - 3). Let g be 0\/(((-2)\/3)\/(l\/90)). Solve g = -4*w - 0*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhplhlvlvvhhvlvlvvlb. What is prob of sequence lv?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 646, 663, 706, 787, 918?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 12. Suppose l = -3*i + 16. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {y: 1, v: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - b - 2. Suppose 2*s = 10, 0*d - 2*d = 3*s - 19. Let f be v(d). Let i(w) = w**3 - 24*w**2 - 26*w + 23. Let p be i(25). Is p equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 19*s - 3. Let t(n) = -11*n**2 + 57*n - 8. Suppose 82*h = 67*h + 120. Calculate h*k(y) - 3*t(y).\nAnswer: y**2 - 19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:18 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/(5\/(-3 - 87)). Let k(x) = -103*x**3 - 9*x**2 + 4*x + 9. Let p(j) = -26*j**3 - 2*j**2 + j + 2. Give u*p(v) + 2*k(v).\nAnswer: 28*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/12)\/((-21)\/(-126))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12132 (base 4) to base 9\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4990 + -30007\/6. Let z = -1\/4343 - -508141\/43430. What is the common denominator of a and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44975611630141 and -1?\nAnswer: 44975611630140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 749920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3112441 - -2014?\nAnswer: -3110422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 - 85*o\/6 + 43\/3.\nAnswer: -(o - 1)*(o + 86)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8402*a**3 + 3*a - 3. Let c(z) = -8402*z**3 + 2*z - 2. What is 3*c(w) - 2*u(w)?\nAnswer: -8402*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p - 45. Let h(k) = k**2 + 8*k - 5. Let n be h(p). Suppose -1588 = -4*j + c, j - n*c - 1985 = -4*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 45 - ((1 - 2 - -1)*1 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 19190082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.3 times 0.5?\nAnswer: -12.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/119028 and -145\/252?\nAnswer: 357084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 3800916.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**4 - 5*j**4 - 7*j**4 + 5 - 13*j + 5*j**3. Let k(z) = -z**4 - z**3 - 1. Let v(s) = -a(s) - 5*k(s). What is the second derivative of v(m) wrt m?\nAnswer: 132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 15*y = -16*y - 71, -5*y - 25 = 0. Suppose -2*n - 19 = -x, -2*n - 100 = -3*x - x. Calculate the lowest common multiple of x and o.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 4*u**4 + 24*u**3 - 252*u**2 - 1568*u = 0.\nAnswer: -7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5265 (base 7) in base 6?\nAnswer: 12340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/8)\/(2\/(-40)). Calculate the highest common divisor of 190 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5791*k**2 - 2*k. Let j(d) = -1002*d - 1003*d - 1003*d + 4008*d - 1002*d. Calculate r(j(l)).\nAnswer: 23164*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 9*f**2 + 5*f + 3. Let r(d) = d**2 - 28*d - 290. Let s be r(36). Let n(l) = 2*l**2 - l - 1. Give s*y(z) - 9*n(z).\nAnswer: 2*z**3 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t**2 + 22*t**2 + 99*t**2 to r*t**2 + l + o*t and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(3\/11)\/o*o*o)\/o)\/o)**(-23)*o**(-18)\/o*o*o\/((o\/(((((o\/((o*o*o**(-29)*o*o)\/o))\/o)\/o)\/o)\/o))\/o) assuming o is positive.\nAnswer: o**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 d when three letters picked without replacement from {d: 1, x: 4, b: 1, u: 4, h: 3, j: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Factor 8 + 0 + 8*t + 0*t + w*t**2.\nAnswer: 2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -14587415.\nAnswer: 4\/14587415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 2*g**2 + 2*g + 879. Let q be c(0). Suppose -10*j + 9*j - k = -874, j + 2*k - q = 0. Is j a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isi when three letters picked without replacement from sssiiibbsssisi?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -125*k - 1821. What is c(-14)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 502938 + -294749. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**7\/210 - 7*g**6\/45 + 2*g**5 - 12*g**4 - 3*g**3\/2 + 47*g. Let t(i) be the second derivative of d(i). Factor t(a).\nAnswer: 4*(a - 6)**2*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-2*4\/8. Let h(l) = -l**2 + l + 4. Let b be h(3). Let x be (b\/(-4))\/(12\/8). Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2794 + 5406 = -20*s. Is s equal to -411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 108009936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3043123 (base 6) to base 16\nAnswer: -239bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-18 + 12) + 13\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 + 41. Which is the closest to -4? (a) x (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5967, 45845, 153581, 363105, 708347, 1223237?\n\"Answer: 5655*y**3 - y**2 + 296*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(3 - 2*j - 3) to y + o*j and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/10*(-1402)\/7711.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-350)*7)\/((-1)\/(-2))*-5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -188 - -192. Solve 5 = k*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3803 is divided by 136?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5550 and 46800?\nAnswer: 1731600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeyeyeyedeeeeeee. Give prob of sequence ey.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n + 2*n + 3*n)*(1 - 2 - 7) to the form t*n + k and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 12*g**5 + 60*g**4 - 69*g**3 + 18*g**2 = 0.\nAnswer: -6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-54))\/(-1*(-2)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152682530 is divided by 19085313.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3827, -3854, -3881, -3908?\n\"Answer: -27*w - 3800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = 12*y + 108. What is the remainder when y is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/8)\/9)\/(210\/(-12)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.13 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23048 (base 9) in base 12?\nAnswer: -8a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*u - 377736*k**3 - k**2*u + k**2 - 2860507*k*u wrt k?\nAnswer: 6*u - 2266416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 - 6*o**4 - 88*o**2 wrt o.\nAnswer: 120*o**3 - 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 460 + -478.28. Let c = -19 - m. Round c to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - d. Let a be j(-1). Let b = -3 + 17. Solve 5*y + 39 - b = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32431 or 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -832\/7*a + 4\/7*a**2 + 828\/7.\nAnswer: 4*(a - 207)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1365316 and -101\/3460.\nAnswer: 6826580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o**0\/o)))\/o)\/o**(1\/16))\/(o**(-10)\/(o\/o**(5\/6))) assuming o is positive.\nAnswer: o**(389\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let h = 6.876034 + 0.123966. Which is the nearest to o? (a) h (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/35 - (-54)\/28)\/(411\/137).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5810883 + 3347244. Let c = 1010301 + n. Let t = -4253338 - c. Round t to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5024 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + (-10 - (-39 + 14 + 4)) + (1 - 18).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -200.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*z + 10*z - 14*z)*(2*z**3 + 2*z**2 - 2*z**2).\nAnswer: -36*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 41*a + 75 = 0, 54 = 4*d - 1897*a + 1899*a for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 13*g**2 + 24*g - 38. Let t be l(-16). Let b = -344 + t. What is the least common multiple of b and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64251 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -584*j + 1000 + 168 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 15*x - 16. Let i(a) = a**3 - 11*a**2 + a - 5. Let f be i(11). Let w(j) = -7*j + 8. Let m(h) = f*v(h) + 13*w(h). Calculate m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -742135223*g**3*o**2 - 43315*g**2*o**2 + 1898*g**2 wrt g?\nAnswer: -4452811338*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 55. Let h be s(-47). Let a be 4\/6 + h\/(-132)*-22. Let p = -26 - -53\/2. What is the third smallest value in -6, -4, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/28*(-4 - -10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073821254?\nAnswer: 2, 3, 11, 1129, 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.95 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021049666 rounded to 6 decimal places?\nAnswer: 0.002105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3374115 (base 8) to base 5\nAnswer: -213244113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 52*h = -66. Suppose 5*d - 58 = -4*r - 7, 4*d - 37 = -3*r. Solve h*t + 0*t = -3*c + r, -27 = -3*t - 4*c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.25 - 0.12. Let o = a + 0.77. Let j = 0.895 - o. What is j rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1*-1*5. Suppose 0 = 14*g + g - 300. Let y(u) = -u**3 + 21*u**2 - 18*u - 34. Let d be y(g). Solve 5*h = -1 + d, -3*h + 28 = m*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -13*z**3 + 3*z**2 + 4*z + 14*z**3 - 7*z**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 637.8 + -564. Let p = -74 + u. Which is the closest to 2\/7? (a) 3\/8 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**3 + 25*b**2 + 3347*b - 43738. Determine q(13).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/3 - (-1 + -2 - 0). Put 5, -5, -4, h in decreasing order.\nAnswer: 5, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*a = 254*a - 301*a + 530 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/(-4)*(1860\/(-341))\/30?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3789 + 15961. Let i = m - 12105.19. Let k = -67 + i. What is k rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t + 3. Let g(i) = i**4 + 27*i + 11. Let u(m) = 6*g(m) - 22*o(m). What is the second derivative of u(p) wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379\/6 - -191\/3. Let 3\/2*r**3 + 1\/2*r**4 + 0 + p*r + 3\/2*r**2 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.560928 centuries in millennia?\nAnswer: 0.9560928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580.529 minus -5?\nAnswer: 1585.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**6\/120 + w**5\/60 - w**4\/24 + 5*w**2. Give n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*j = -145*j - 12114 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7709793?\nAnswer: 3, 7, 13, 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)*j**(-16) assuming j is positive.\nAnswer: j**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -77 + a - 264*a**2 + 3*a + 72. Let p be h(2). Let o = p + 1484. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (-3 + (-108)\/3)\/10 and 97\/104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -606403 (base 8) to base 9.\nAnswer: -334234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(128))*-4*-6)**2 + (sqrt(4) + -1*sqrt(144))\/(sqrt(2)*1*-3) + 4.\nAnswer: 25349*sqrt(2)\/3 + 74216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-2) - -15)*434\/31?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 7*q**2 + 4*q + 4. Let n be u(6). Let p = n - -13. Suppose 5*m - 5 = 2*o - 29, p*m + 28 = 4*o. Solve 4 = -o*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 358 + 4*m - 18*m**2 - 345 to h*m**2 + y + b*m and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 444*b**4 - 62*b**4 + 216*b - 19*b**4 wrt b.\nAnswer: 4356*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*-1)*6)\/(sqrt(864) + sqrt(864)*-2) + 0 + -1 + 1 + sqrt(76)\/sqrt(4) + sqrt(19) + -3.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o + 1629. Determine x(-79).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 870 = 4*j. Let o = j + -366. Let r = -79 - o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 462 = -2*p. What are the prime factors of p?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**6*s + 266*f**4*s + 53*f**3 - 6*f**2*s + 5*f**2 + 18*f*s - 9 wrt f?\nAnswer: -120*f**3*s + 6384*f*s + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1723, -3445, -5165, -6883, -8599, -10313?\nAnswer: -12025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30.4 * 0.1\nAnswer: -3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-81)\/6)*-21. Let n(v) be the first derivative of v**4\/4 - 13*v**3\/3 - 15*v**2\/2 + 17*v + 2. List the prime factors of n(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 17*w + 2 - 2*w**2 - 19*w - w**3 + 3*w**2 to x*w**3 + t*w**2 + v + l*w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 9. Let u be q(-6). Suppose 4*i = 3*g + u*i + 2100001, 2*i + 1399998 = -2*g. Round g to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:15 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q**2 + 523*q + 6876. What is j(45)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0 - 299 - -1. Which is greater: x or -298?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 + 0*d**2)*(-d - 3*d + 2*d) + 5*d**2 - 1 - 5*d**2 - d**3 - d**3 + 2*d**3 + d**3.\nAnswer: -d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Suppose 26 = a*o - 2*x - x, -6 = -2*o + 5*x. 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 747239.\nAnswer: 747239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94911455 by -1.\nAnswer: -94911455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 11. Let g(y) = 3*y - 4*y - 1 + 2*y. Let l be g(7). Let o be v(l). Which is bigger: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -66 - 3\/8*c - 1\/8*c**3 + 3\/8*c**2. Factor y(p).\nAnswer: -3*(p - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/241371 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5590 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 193243053 a multiple of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1465 + 1469. Let w(j) = 6*j + 15. Let v(i) = -7*i - 16. Give o*v(g) + 5*w(g).\nAnswer: 2*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6*h + 2*h - 266, 0 = 3*l - 3*h - 264. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - r - 78 - 91 + 38 - 12 + r**2 - 3*r**3 to a*r**2 + s*r + i*r**3 + z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3000 and 458902000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/(n\/(n**(5\/4)*n)))**25)**(-17))**(1\/9) assuming n is positive.\nAnswer: n**(-5525\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 + 21. Let g = -8 + 11. Let q(c) = 4*c**2 + 11. Let z(t) = g*d(t) - 5*q(t). What is the first derivative of z(w) wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**6\/200 - t**5\/10 + 23*t**4\/40 - 7*t**3\/5 - 34*t**2. Solve s(k) = 0.\nAnswer: 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609783421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*h + 3*g, -4*h - 30 = -g - 36 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g - 6. Does 11 divide (-3 - 0) + g + 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -36 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k\/(k*k*k*k*k\/(k*k**(-7)))))**(-1\/32)*(k**4)**(-1\/16) assuming k is positive.\nAnswer: k**(-17\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 50*q + 620 = -92*q + 5123 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -s - 2*f, -4*s - 18*f + 43 = -13*f for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0\/l*l)**(-2\/7))**(-23))**16 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*i**4 - 279*i**4 + 22691*i**2 - 22725*i**2)*(-4*i + 3*i + 2*i + 4 - 2*i - 4 + (4*i - 3*i + i)*(-3 + 0 + 5) + (2*i - 2 + 2)*(3 + 0 - 6)).\nAnswer: 642*i**5 + 102*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7236, -14547, -21858, -29169, -36480?\nAnswer: -43791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/7 in 4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(28\/(-12) - -2). What is the nearest to f in -1\/4, -2, -6\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 2537.\nAnswer: -72\/2537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2 (c) -38.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 1380458?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - -14. Suppose 3*x = -2*x + q. Suppose -5*p = -2*l - 164, 88*l = -3*p + 89*l + 98. Calculate the greatest common divisor of p and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6125 and -2.\nAnswer: 6123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {w: 1, a: 2, d: 5, x: 1, v: 1, y: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2373, -4765, -7169, -9585, -12013, -14453?\n\"Answer: -6*q**2 - 2374*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*u = -102, -3*u - 442 = 2*w + 3*w. Which is bigger: -82 or w?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 184584 = -84588. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/77*(37\/((-5772)\/(-198)))\/1\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minus -0.231?\nAnswer: 89.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*i - 152*i - 53*i**3 + 43*i**3 + 349*i.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -3\/4*l**2 + 12 + 1\/8*l**3 - 3*l + 1\/16*l**4. Factor j(z).\nAnswer: 3*(z - 1)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 459\/135 + (-6)\/15. Suppose 0*t + 4*a - 18123 = -3*t, -18096 = -b*t + 5*a. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 c when four letters picked without replacement from {p: 2, c: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 725039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -835*2\nAnswer: -1670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Solve 0*b + b = -3*c - 14, 27 = -i*c + 2*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -3*w**2\/2 - 4*w + 125. Let v(x) = x + 2. What is 2*r(g) + 5*v(g)?\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*k = -145*k + 21053 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73\/8 - 9. Let c = -4.068 - -7.068. What is the nearest to -0.1 in 8\/9, c, -0.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -7332, -85, 2\/9, 1\/5 in decreasing order.\nAnswer: 2\/9, 1\/5, -4, -8, -85, -7332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 35*x**3 + 9*x**2 - 96*x - 12425. Let q(c) = 8*c**3 + 2*c**2 - 21*c - 3106. Give 2*l(y) - 9*q(y).\nAnswer: -2*y**3 - 3*y + 3104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 7*i**2 - 11*i + 8. Let v(f) = 3*f - 17. Let z be v(8). Let g be b(z). Let h = 159 + g. Is h a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 80 - 49 = 3*u, 2*u - 31 = -g. Let p be (-10)\/3*g\/(-15). Let q(n) = -2 + p*n + 0 + 0 - 1. Calculate q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113*r**3 - 769*r**5 - 1390*r**5 + 119*r**3 - 671*r - 232*r**3 wrt r?\nAnswer: -43180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 2. Let w = 0 + x. Let s be (-3)\/(-12) - w\/8. Solve s = -2*u - u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 15*y + 7. Let p be k(-10). Let w = p + 45. Solve 2*c - 3*l = -l + w, 4*l = -3*c + 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*v + x - 138, 2*x - 76 = -2*v. Let m be ((-8)\/5)\/(3\/15). What is the common denominator of (249\/m)\/(6\/4) and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - 2.9. Do 2\/29 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.92 + -0.08. Let i = 8.11 + d. Round i to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -14)\/(18\/2)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3 + (-8 - (-4 - -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 14334456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -6) + 1232\/12. Let f = a + -107. Sort 4, f, -0.3 in increasing order.\nAnswer: -0.3, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 + 5*t**5 + 2*t**5 + (-t**3 + 9*t**3 - 3*t**3)*(-22*t**2 + 13*t**2 - 20*t**2).\nAnswer: -133*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3227575 is divided by 65.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*f**3*k**2 + 127*f**3 + 708*f - 2*k**2 - 143*k - 16421 wrt f?\nAnswer: -18*f**2*k**2 + 381*f**2 + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(833) - (sqrt(833) + -2)) + (sqrt(833) - -1*sqrt(833))*6)**2.\nAnswer: -336*sqrt(17) + 119956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (((-1876)\/70)\/(-67))\/(-54*(-12)\/(-40))\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -18. Let a = -10 - z. Let y = 23 + -19. What is the second smallest value in 1, y, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4 = 2*k, -2*p = -p - 5*k - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 27.7 times -8.5\nAnswer: -235.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.561.\nAnswer: -1.683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/162368 and -35\/6192.\nAnswer: 1461312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30531*a = 30569*a - 867160. Is 97 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 10. Suppose -q + 1 = -8. Let u be y(q). Calculate the remainder when 28 is divided by 13 - (2 - (u - 2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - 51. Which is greater: -73 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 3*g**4\/8 - 19*g**3\/6 + 10*g**2. What is the hundreds digit of v(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 2. Let u = -9 + r. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-2\/5)))\/k)**21\/(k**(-5)*k*k\/(k*k**(-1\/3)*k))*((((k\/(k*k*k*k**1*k*k))\/k)\/k)\/k*k**(1\/3))**47 assuming k is positive.\nAnswer: k**(-5524\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2 - -9 - (-721 + 724)) + 15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 2*d**2 - 2*d + 2. Let g(m) be the first derivative of -m**4\/4 + m**3 + 3*m**2\/2 - 3*m - 68. Give 2*g(h) + 3*z(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -434*k**2 - 2*k + 1356 wrt k.\nAnswer: -868*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 435, 1, -1\/5, -1\/4, 1\/3 in descending order.\nAnswer: 435, 1, 2\/5, 1\/3, -1\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**3 - 15*c**3 - 22*c**2 + 22*c**3 + (0*c - 14*c - 3 + 3)*(-3*c**2 - c**2 + 3*c**2) in the form y*c**3 + z*c + m + g*c**2 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7379b1 + -22?\nAnswer: 73798c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192*j**5 - 15424*j**4 + 311204*j**3 - 13560*j**2 - 1750400*j - 704000 = 0. Calculate j.\nAnswer: -2, -5\/12, 11\/4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 5*w + 122 = 0, 485 = 14*f + 5*w + 652 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let p(g) = -1 - l*g + 5 + g. Calculate the smallest common multiple of 3 and p(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 12. Let z be o(16). Let y be z\/(-6)*(18 - 9). Is ((-1034)\/3)\/(4\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2. Let t be (b - 2)\/2 + -5. Do -6 and t have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + ((-52)\/(-5) - 21\/(-35)). Suppose 4*s - m = -2*t, -6*s + s = 3*t - 10. Solve s*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -717, -718, -719, -720, -721, -722?\n\"Answer: -k - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*p**2 - 104*p**2 + 231*p**2 + (3*p + 2*p - 4*p)*(2 - 2*p - 2) + 0*p**2 + 5*p**2 - 3*p**2.\nAnswer: 74*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - ((1 - 4) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 663, 708, 755, 804, 855, 908, 963?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 493.4, 2.8, 1.3 in increasing order.\nAnswer: 1.3, 2.8, 493.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = 2*s - 2, -8 = -5*s + p. Suppose s*d + 2 = -4*c, c = -3*d - d - 4. Let z = 631 + -626. Solve c*u = u - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -100372\nAnswer: -100372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -5*k**3\/3 - 2*k**2 + k + 2. Let m(j) = -4*j**2 - 4*j. Let d(i) = -3*m(i) + 2*r(i). Determine d(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -s - 22. Let p = s - 35. What is the greatest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059305 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 82*h + 1147. Let k be z(-13). Is -0.12 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15f3 - 3f00e?\nAnswer: -40601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4, 1\/13, -3, -1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 10) to base 3\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5336 + 9412. List the prime factors of m.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-1 - (7 + 6 + -6 + -3))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccucdccyccycduyd. Give prob of sequence yc.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/131026265?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360220 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9\/179661095 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -681, -589, -407, -105, 347, 979, 1821?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37037 and 1436974.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -969 + 969 - 451*m + 669*m + 761*m.\nAnswer: 979*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -2444, 3, 2\/9, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*t + 243164 - 58*t - 243153 to o + z*t and give z.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 7*t - 2. Let w be 2 + 2 + -3 - t. Let c be w\/(-1 + (-6)\/(-2)). What is the closest to -2 in c, -2\/9, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - 21 - (55 + 17 - 79)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16165, 32341, 48525, 64717?\n\"Answer: 4*y**2 + 16164*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-207)\/(-46))\/((-1 - -3)\/212). What is the greatest common divisor of 36 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Let h(l) = l**2 + 5*l - 1. Let p be h(-6). Is a less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 739, 719, 727, 763, 827?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -676 + 4730\/7. Let z be 1\/(-2) + (-18)\/4. What is the nearest to 2\/53 in j, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4043154 and -3.\nAnswer: -4043157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + b = -42, -a + 3*b + 84 = a. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 17487990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 + -135. Let s = r + 94. Suppose -5*f + 15 = 5*t, 5*t = -f - 0*f + s. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 263738137?\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 {l: 1, n: 4, r: 9}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 24. What is the third biggest value in a, -0.3, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0 - 21\/4*n**4 - 243\/4*n**2 - 1\/4*n**5 + 153\/4*n**3.\nAnswer: -n**2*(n - 3)**2*(n + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + ((-20)\/(-4) - 9). Let x be y\/(-5) + (-3 - 28\/(-10)). Solve x = 2*j + o + 2, -1 = -2*j + o - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7950796091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/13 + 6098*o**3\/13 - 24370*o**2\/13 + 30454*o\/13 - 12180\/13 = 0.\nAnswer: 1, 2, 3045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = j + 38. Suppose j = -2*q - 11. Let d = 53 + q. Solve -2*v - 2*z - 4 = 0, 0*v - 10 = d*v + 5*z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -28. Let b = 12.7 + x. What is the closest to 1\/3 in 5, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3370884 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.195 * -87.6.\nAnswer: -17.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17237787?\nAnswer: 3, 7, 23, 89, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/18)\/((-120)\/802). Let x = 2\/135 - h. Is x less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3723 = -2*n - 5*k, -1076 = 2*n - k + 2677. Let h = 3287 + n. List the prime factors of h.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (12\/3)\/(-4). Let n = 2.9 - 4. Let a = -0.1 - n. What is the smallest value in w, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose -9*b + 175 = 16*b. Let j(n) = 28 - b - 12 - n**3 - n + 4*n**2 + 0*n - 13. Give j(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*26489019.\nAnswer: -556269399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560) + -5*sqrt(560) - sqrt(560)) + sqrt(560) + (-2*sqrt(420))\/sqrt(12))\/(-3*sqrt(700) + -3*sqrt(35)\/sqrt(5)).\nAnswer: 6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:29 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92804.276 + -93194. Let b = -2121 + 2510. Let k = b + v. Round k to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. What is the second derivative of -2*y**3 - r*y + 2*y + 0*y**3 + 0*y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 0*m + 14 = 0. Solve -5*o - 15 = 0, 9 + 5 = 5*s + m*o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.4 - -13.6. Let r = -0.008 + -0.092. What is the biggest value in -32, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.307 - 0.307. Let f = -12797\/7242 - -1\/426. Let j = 236\/153 + f. Which is the biggest value? (a) n (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12843272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 147 - 1055*q + 120 + 1062*q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 divided by 2?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 3 = 5*q, -6572 + 6573 = -4*a + 3*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -76249050.\nAnswer: -76249049.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3114*p**2. Let a(c) = 1858*c**2. Determine a(q(y)).\nAnswer: 18017018568*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 964 - 948. Solve -12 = -k - 5*w, -3*w = -6*k + 11*k - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 0, 2\/11, -97769, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 19 = 5*o. Let p = 304 - 302. Suppose a = -5*r + 271, 4*r - p*r - 126 = 4*a. Calculate the remainder when r is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1357512 divided by 8931.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1431577 and 271?\nAnswer: 387957367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0785*-0.089.\nAnswer: -0.0069865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 0*s**3 - 970*s**2 + 519*s**2 + 311 + 450*s**2 as i*s**2 + k*s**3 + g*s + h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**1*p**(-1\/5) assuming p is positive.\nAnswer: p**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 2:06 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = r + s - 3, 2*r - 4*s = -12. Let j = r - 22. Is j >= -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - 9.9. Which is the nearest to -0.1? (a) p (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 276 = -3*z, z + z = -4*g + 170. Let f = z - 80. Calculate the remainder when 49 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -6942\/7105?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 = -6*n + 4*a, -3*n - 4*a = -20. Suppose -10*k - 447 + 17 = n. Let c = k + 86. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161760394 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 100973, 100968, 100963?\n\"Answer: -5*d + 100978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10035, -39894, -89653, -159306, -248847, -358270, -487569?\n\"Answer: u**3 - 9956*u**2 + 2*u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41\/65 + 359\/260. Which is the second smallest value? (a) -3 (b) v (c) -0.7 (d) 0.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24631 = 54*q + 3*s - 23878, -72 = 5*q - 2*s for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.523 - 0.523. Which is the smallest value? (a) 4 (b) 6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/14 in -2\/7, -5, -2, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnt when three letters picked without replacement from {n: 1, t: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 10*x**2 - 146*x - 378. Calculate q(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqvqvkvqvvvdvqvkqk. What is prob of sequence vq?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Let m be ((-2)\/51)\/((-4)\/6). Sort n, m, 5 in descending order.\nAnswer: 5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 95, 342, 825, 1622, 2811?\nAnswer: 4470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5662691700 divided by 5\nAnswer: -1132538340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000046919677 to seven decimal places.\nAnswer: -0.0000469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2 - 10*j**2 - 5 + 0*j**2. Let p = -13 - -4. Let g be o(p). Round g to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7332\/(-364) - -18)\/(-5)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 565*t - 1065*t + 4903 - 239 = -712*t for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8555866, -8555864, -8555862, -8555860, -8555858, -8555856?\n\"Answer: 2*z - 8555868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 89.181. Let u = 0.689 + z. Let d = -0.17 + u. Which is greater: d or -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 25*o**2 + 1000*o - 56. What is z(-40)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e2e - 7ba8?\nAnswer: -6d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 24*f**2 - 24*f + 18. Calculate s(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 875 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*c. Suppose 0*r + 2*q + 12 = 2*r, 5*r + q - 18 = 0. Suppose -r*z + 8*z = c. Solve z*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 0, u = 4*u - 4*d - 15. Suppose v = -u, 5*n + 4*v - 2*v = 545. Suppose n = 7*y - 78. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*a + 630, 3*a - 210 = g - 2*g. Suppose 3*k - g = -4*k. What is the remainder when k is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 3*r + 26*r - 3*r + r**2.\nAnswer: r**2 + 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) 61 (c) 0.2 (d) -0.2 (e) -6 (f) -1 (g) -728\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 + 81. Suppose 30*n - 28*n + 3*r - 290 = 0, -5*r = -20. Calculate the remainder when n is divided by g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3 = 476*h - 472*h, -9 = -a - 4*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 140, 194, 246, 296, 344?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 3 + 0*l - 3\/2*l**2. What is the smallest common multiple of 4 and h(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**4\/3 + m**3\/3 + m**2\/2 + 29*m. Find the second derivative of x(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -1\/3*k**3 - 3 + 1\/420*k**5 + 0*k + 0*k**2 - 1\/1260*k**6 + 0*k**4. Let x(o) be the third derivative of q(o). Factor x(d).\nAnswer: -2*d*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.017 in 3, -3, 8\/29, -2\/7, -3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3*b - 14. Let g be z(6). Suppose g + 10 = x. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*y = 18. Suppose -5*r + y*r + 2 = 0. What are the prime factors of (r\/4)\/(6\/(-348))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 4*s - 1. Let d(z) = 6*z - z - 1 - 6*z + 2*z. Let v(k) = -2*k - 5. Let y be v(5). Let q be (-14)\/(-10) - (-6)\/y. Calculate q*n(m) - 3*d(m).\nAnswer: 2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71449 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(2*x**3 - x**3 + x**3) + (-41*x**3 + 7*x**3 - 12*x**3)*(-2 + 2 + 1).\nAnswer: -42*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.99 - 1.98919. What is x rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16715 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32418 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 r be (-35)\/6 - 3\/(-9). Let b = -31\/6 - r. Let m = 3.7 - 4. Is b less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (15 - (-4 - -3)) + -20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 6188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 13*m + 21. Let f(q) = 2*q**2 - q + 1. Let y(n) = 2*f(n) + i(n). Give y(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26181 and 8770011.67?\nAnswer: 8796192.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/4 + 10078*d**4 + 214776299*d**3\/2 + 115604398569*d**2 - 926124007599*d\/4 + 115819205103 = 0 for d.\nAnswer: -19551, -1212, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 + 77. Let f be (2 - -17) + 10\/(-5). Let q = r + f. Is 24 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 - -2.5. Let r be (-6)\/(-9) - (-33)\/(-63). Let q = 11 - 7. Which is the closest to t? (a) -1 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.1 - -2.2. Let m = v - -4. Which is the third smallest value? (a) -5 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -304, -84 in ascending order.\nAnswer: -329, -304, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.09 + -0.11. Let v = -8.3 - d. Let t be 4\/(-14) - 20\/(-119). What is the closest to -2 in t, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 5*x - 5. Let p be w(-5). Let c = 8 + p. Suppose 11 + 10 = c*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*p = -24, -5*k + 4*p + 75 = 48. Sort k, -6, -5, 4 in ascending order.\nAnswer: -6, -5, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34023589 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let x = v - 4.00009. What is x rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, 16, -1, 4\/7, -2 in increasing order.\nAnswer: -2, -1, 4\/7, 2.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-246)\/50)\/(34\/10). Let q = -8\/85 + x. Which is the second smallest value? (a) 0.4 (b) q (c) -1\/6 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/4 + 29*p**4\/4 - 153*p**3\/2 + 665*p**2\/2 - 1421*p\/4 - 3087\/4 = 0. What is p?\nAnswer: -1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-27) - 58\/18. Let s be n + (0 - 0) - -36. Let f = -27 + s. Calculate the greatest common factor of 4 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2513, -7810, -13107, -18404, -23701, -28998?\nAnswer: -34295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000058439 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1891726, 1891723, 1891718, 1891711, 1891702, 1891691?\n\"Answer: -m**2 + 1891727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 42. Which is the nearest to -0.009? (a) 5 (b) t (c) 3\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/2 of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:08 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5*a**2 - 16*a - 12. Let w be h(-12). Let z = w - 599. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 5287, -2, -13 in decreasing order.\nAnswer: 5287, 80, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 78*u**2 + 176*u - 1396. Give s(80).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.291 in -63, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -569206 - -112206. Round g to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 20 - 0. Suppose -3*k + 67 = 4*g, -r*g + 3*k = -2*g - 29. Calculate the remainder when 8*((-46)\/(-8) - 2) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32906774.5 rounded to the nearest one hundred thousand?\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h = 5*b - 25, -25 = -5*b. Suppose h = 5*r - 9 - 1. Suppose -r*o + 0*t + 104 = 5*t, 0 = 5*o + 3*t - 298. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = -1. Find the third derivative of n**6 + 2*n**6 + 3*n**q - 2*n**2 + 3*n**2 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6923930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 87. Solve -20 = a*f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.011 + -0.009. Let w = j - -0.019892. What is w rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 11, 1\/6, 170.\nAnswer: 1\/6, 11, 84, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4750 or 4030?\nAnswer: 4750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32892022 a multiple of 643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/360 and 33467\/10290 - (-1 - (1 - 6)).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 178, 180, 182?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1853 and 4473.\nAnswer: 6326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(20) - sqrt(5)))**2 + 2 + -2 + sqrt(35)\/(sqrt(7) - sqrt(63)) + (2*(3 + -2 + 1 + sqrt(125)))**2.\nAnswer: 171*sqrt(5)\/2 + 530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*f + 0)*(568*f - 1113*f + 445*f) - 2*f**2 + 4*f**2 + 0*f**2)*(-1 + 1 + f + 1).\nAnswer: 202*f**3 + 202*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 - 1926*i**2 + 3*i**3 - 5*i**3 + 1926*i**2.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 2*r + 12 = 13*o, 5*r = 3*o + 14. Let d be (-8)\/(-6)*(-8)\/o. What is the third smallest value in 1\/4, d, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -11*t**2 - t + 4. Let x(z) = -12*z**2 - 2*z + 5. Suppose -m + 2*d - 4 = -9, -2*d = -5*m - 7. Determine m*x(q) + 4*u(q).\nAnswer: -8*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 260 = 121 + 8 - 133 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - 7773?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 29322.6616 to the nearest one hundred.\nAnswer: 29300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let w(x) = x**3 - 4*x**2 + 3*x + 3. Let g be w(3). Let u(a) = 515*a - 515*a - g*a**2. Give l(u(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 14) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4795, -5239, -5777, -6457, -7327, -8435?\n\"Answer: -8*d**3 + d**2 - 391*d - 4397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1063 = 5*a + 108, -3*a - 1254 = -4*o. What is the highest common factor of o and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.394502kg to nanograms.\nAnswer: 394502000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66144459 or -330722288\/5?\nAnswer: -330722288\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/60 + q**4\/24 + 13*q**3\/6 + 11*q**2. Let o be 0\/(-3 - -5 - 4). What is f(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353\/63 + -239\/36. Let n = 9\/7 + u. Put -2\/9, 1\/2, 2\/3, n in descending order.\nAnswer: 2\/3, 1\/2, n, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 3*a + 6 = 0, -5*a - 2 = -3*g. Solve 0*u - u + 3 = g*c, 5*u + 15 = -5*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1495 and 18055?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-264)\/(-36))\/(-7)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = s. What is the remainder when 22 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)\/(l**(-1)\/l))**38 assuming l is positive.\nAnswer: l**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5121559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + 2 + 4*(sqrt(1377) - (sqrt(1377) + sqrt(1377)*-2)))**2*6.\nAnswer: -529062 - 6048*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*u + 3*u + 17, 5*i = -5*u + 25. Suppose 0 = -7*w + i*w - 5579. Suppose 5*l + 3*o - w = 0, 3*l - 3345 = -0*l - 3*o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d - 120. What is x(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v - 1. Suppose a - 15 = d, -a + 2*d + 15 = -0*a. Let x(g) = -2*g**2 + g**2 - 14 + a + 4*g. Give 3*w(c) + 2*x(c).\nAnswer: -2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 24*b**7\/7 + 5*b**4\/4 - 526*b**3\/3 + 305. Find the third derivative of t(m) wrt m.\nAnswer: 2880*m**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:19 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/6)\/((-3)\/54) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49, -1, -21, 7, 101, 279, 559?\n\"Answer: 3*p**3 - 3*p**2 - 62*p + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 96 = -24. Let h be -6*8\/s - -4. Suppose t - 4*t + 0*t = h. Put -3, t, -2, -1 in descending order.\nAnswer: t, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -23*j**2 + 4*j - 3. Let m(h) = 37*h**2 + 27*h + 26. Let z(s) = -19*s**2 - 12*s - 12. Let t(n) = 5*m(n) + 11*z(n). What is 3*l(w) - 4*t(w)?\nAnswer: 27*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -10111?\nAnswer: 10103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11965?\nAnswer: 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15*-6)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119977340.\nAnswer: 2, 5, 7, 89, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*b + 70*t - 67*t = -81, 9 = -2*b + 5*t - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7127*s + 7129*s - 6. Sort -4, 875, -8, s.\nAnswer: -8, -4, s, 875","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 3) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(sqrt(10) + sqrt(30)\/sqrt(3)) - sqrt(45))\/(-5*(sqrt(9) - sqrt(144))) + -5*((sqrt(320) + 0)*-6)**2*4.\nAnswer: -230400 - sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 7*w**2 + 2*w - 2. Let o be d(-6). Let y be ((-420)\/378)\/((30\/(-6))\/90). Solve o - y = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 22*r - 46. Let v(d) = 9*d - 19. Suppose -5*i + 80 = -4*h, -2*i - 5*h = -0 + 1. Let w(q) = i*v(q) - 5*s(q). Give w(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16061 - 16073.3. Which is the biggest value? (a) g (b) -1 (c) 2 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**6))\/a**(-1\/15))\/((a*a*a**6)\/(a**6*a)) assuming a is positive.\nAnswer: a**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/10 + (-36)\/60 + -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 320*s + 1967. Give c(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppee when four letters picked without replacement from {p: 5, e: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f**3\/f*f*f*f)*f**(-1\/3)*f\/(f*f\/(f*f*f*f**1))*f*f*f**3*f assuming f is positive.\nAnswer: f**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7331840 is divided by 733184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 163*s - 1. Let u be k(1). Let j = -40 - -58. Calculate the greatest common divisor of j and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20211221 (base 3) to base 12.\nAnswer: 2a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-2)\/(-6)*3. Let j(b) = 23*b**2 - 42*b - 5. Let s be j(2). Sort -2, -5, t, s in increasing order.\nAnswer: -5, -2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*c + 0*c - 30 = 0, 2*g - c = -12. Let h(m) = m + 5. Let s be h(g). Suppose -70 = -n - s*n. Calculate the highest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*m + 268267, -10*g - 3*m + 536579 = -6*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361.20308 rounded to the nearest 10?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2362 from -2.024.\nAnswer: -2364.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:41 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 13107\nAnswer: -1\/13107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4683 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938960627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-25) + 35720\/5875. Solve -16*j + 13*j - d = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from bbmkmkbkmkmbmkmmkk?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5551*b**2 + 13936 wrt b?\nAnswer: 11102*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmbbwffbwrbbbbfbmf. What is prob of picking 1 r and 2 w?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14132*p - 6861*p + 29484*p.\nAnswer: 8491*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3 - b**2 + 12 - 1 + 0*b**2 - 11*b. Calculate the remainder when 41 is divided by s(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003176 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 2*c + 10*c - 7*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2 - 4 + 3 + s**2 - s. Suppose -7 + 6 = -5*c + 4*g, 2*g = 5*c + 7. Determine m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 2:27 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - ((-5 - -51) + -41 + -7).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62677604.\nAnswer: 2, 11, 107, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -410 - -415.94. Round c to 1 decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-416)\/48)\/(12\/18). Put -0.6, g, 3 in ascending order.\nAnswer: g, -0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1995 (base 13) to base 6\nAnswer: -25440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10.5. Let k(d) = 15*d - 229. Let h be k(15). Which is the biggest value? (a) h (b) g (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 203440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) + sqrt(96)*1 + sqrt(96) + sqrt(96))\/sqrt(6))\/((sqrt(8) + (sqrt(8) - sqrt(8)*1))*1) - (0 + -2*sqrt(98)*5).\nAnswer: 74*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**5 + d**2. Let j(q) = 8*q**5 - 11*q**2 - q. Let w = 47 - 25. Let t(u) = w*f(u) + 2*j(u). What is the second derivative of t(g) wrt g?\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by 14396\nAnswer: 109\/7198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310 - -310. Let b(d) be the first derivative of 5\/3*d**3 + 0*d + 13\/4*d**4 + r*d**2 + 8. Find the third derivative of b(k) wrt k.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.5. Let i = -1 - x. Let f = -783 - -782.7. Put f, i, 1\/4 in decreasing order.\nAnswer: 1\/4, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 73*m - 68. Let k be j(1). Which is the second smallest value? (a) k (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.54305 years in months?\nAnswer: 114.5166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 154\/17 not equal to 583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9*n = -14910. Suppose -393*f = -396*f + n. What are the prime factors of f?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222341228 * -0.3.\nAnswer: 66702368.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.16 - -0.16. Let m = i + 7. Let b = m + 2.0000072. What is b rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -429, 1758, 60 in increasing order.\nAnswer: -429, -7, 60, 1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3938*f*u**2 - f*u - 3*f - 4*u - 958 wrt u?\nAnswer: 7876*f*u - f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6270297)\/(-88) - (-200)\/320.\nAnswer: 2, 23, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 461 + g**3 + 13*g**4 + 869*g - 9*g**4 - 869*g as v*g**3 + y*g + m*g**2 + o*g**4 + f and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5))\/(r*r*r**(1\/5)*r*r) assuming r is positive.\nAnswer: r**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8026090 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 388, 352, 272, 130, -92, -412, -848?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11613.719 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -80.8. Are -1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6337861 and 0.1.\nAnswer: -6337860.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -133 + 0 + (102 - (480 + -400))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/3 - 1876*a**4\/9 - 50312*a**3\/3 - 222992*a**2\/3 - 379456*a\/9 = 0. What is a?\nAnswer: -154, -4, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503745639 to the power of 1\/2, to the nearest integer?\nAnswer: 38778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 602141979 from -0.433.\nAnswer: -602141979.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296 - -1. What is the highest common divisor of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 3*u**2 + 23*u + 22. Let i be c(-5). Suppose 0*d = -d - 15. Let g = i + d. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -59553296\nAnswer: 119106592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00376237824 rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/54*(-27)\/(-3)*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.2, 3.305, 22, 3 in decreasing order.\nAnswer: 22, 3.305, 3, 0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 6 - (12\/(-40) + (-2580)\/(-600)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/42 and 9\/(-6) - -32*4\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 + q + 1. Let r(g) = 2*g**3 + g**2 + g + 3. Let y(x) = 7*x + 55. Let f be y(-8). Give f*l(b) + r(b).\nAnswer: b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3. Let w be v(0). Let b(n) = 3*n**2 - n - 4. What is the remainder when b(w) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-16)*-4)\/(-18*(-15)\/180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:54 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -231*l**5 - 10 - 211*l**5 + 9 + 2*l - 15 wrt l.\nAnswer: -8840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 127 + 14 = 0. Suppose 4*p - 133 - g = 0. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/640 and -49\/640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 480.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23\/63 (b) 1.59 (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-2)\/24)\/((-49)\/(-14))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25692808.8 - 249\nAnswer: 25692559.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*h - 3*j + 0*j + 461 = 61, j + 2 - 27 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -881\/34 + -10\/17. Is k greater than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293137700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 492*f + 480*f - 956*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7231429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297229 - 297186.99444. Let c = i + -42. Round c to 4 decimal places.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - ((-5 - -3) + -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 744637237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ykbkykpkyp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -416.2 + 416. Which is the nearest to 0? (a) s (b) 0.04 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29.29709 millennia?\nAnswer: 351565.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -9*k**5\/5 + 25*k - 24. Differentiate x(v) with respect to v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3068147*c**2. Let s(x) = -9*x. Calculate s(b(k)).\nAnswer: -27613323*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m - 14. Let y(n) = -3*n**2 - n. Let r(i) = 2*i**2. Let d(q) = 4*r(q) + 3*y(q). Let a be d(m). Solve a*g + 2*g = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 37. Suppose 6*j - i = 3*j. Calculate the smallest common multiple of j and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v + 4. Let d be f(-10). Let l = 2.5 - 0.5. Sort d, 0.1, l in descending order.\nAnswer: l, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9240, -11740, -14242, -16746, -19252, -21760, -24270?\nAnswer: -26782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 = 2*q - 11, 0 = 2*d. Suppose -24 = -4*n + 5*r + 31, -5*n + 75 = -q*r. What is the second derivative of 33*m - 6*m**4 - n*m + m**4 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/x**(-6)*(x*x**(-2\/11))\/((x\/x**5)\/x*x)*(x**(2\/29)\/x*x\/(((x**2\/x*x)\/x)\/x)*x)**(-20) assuming x is positive.\nAnswer: x**(-4326\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 16*r**3 + r**2 - 2*r**2 - 15*r**3 + 34*r - 39*r. Let b be a(4). What is the greatest common factor of b and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7478778 to three decimal places.\nAnswer: 4.748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 1022*m**3\/3 + 601*m**2 + 343. What is the second derivative of z(i) wrt i?\nAnswer: 2044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.552 + -11.5. Which is the second biggest value? (a) r (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-36)\/15)\/4)\/((-12)\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 3. Give f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99969930857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*m - 186*m - 3*b - 333 = 0, -2*m - b + 84 = 0. Solve -38*y = -m - 31 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 110, 1 in decreasing order.\nAnswer: 110, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 3*t**2 + 15*t + 48. Let n be s(-3). Sort n, 2\/103, -0.4.\nAnswer: -0.4, 2\/103, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(2\/4 - 0). Suppose d*z = -5*z + 35. Suppose -4*q + 2*u = -7*q + z, 0 = -5*q - 2*u + 5. Let s(x) = -5*x + 1. Calculate s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 2*w**2 + 2*w**2. Let q be k(-1). Solve -2*v + 6 = q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 2220001211?\nAnswer: 2220001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65078 by -32539.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 0 + 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8 + 0.2. Let h = x - 8. What is the nearest to h in 2, 5, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 3*u**2 - 14*u - 12. Let k be q(-4). Let j = 121\/2 - k. Factor j*i**4 + i**3 + 0 - 1\/2*i**2 - i.\nAnswer: i*(i - 1)*(i + 1)*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22334 is divided by 2481.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 587 + 191 = -35*v. What is the highest common factor of v and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -334, -755, -1344, -2101?\nAnswer: -3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**13)**(-19))**32 assuming k is positive.\nAnswer: k**(-7904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyjyyyyyyyjyjyjyy. Give prob of sequence jy.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869*o + 872*o = 14115. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 648, 2439, 5994, 11901, 20748, 33123, 49614?\n\"Answer: 98*s**3 - 71*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:16 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 454.16?\nAnswer: 227.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 57510 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -433, -435, -437?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 382637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6023 is divided by 1723.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 170\/21?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-91)\/(1 - 0\/(-4)). Let z = -10 - j. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 9:22 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - 0.09. Let y = 2\/37 - 49\/222. What is the closest to 1 in y, -1\/2, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32093.813 to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27877324369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10220101212 (base 3) to base 16\nAnswer: -12c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 8:19 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5 + 20. Let s(j) = -j**3 + 5*j**2 + 3*j - 6. Let a be s(z). Calculate the highest common divisor of 6 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949*r = 958*r + 1620. Is r <= -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 14) to base 3\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.04, 1, -330 in descending order.\nAnswer: 7, 1, 0.04, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 17 = 3*r, -4*u - 7 = r + 9. Let t = r - 4. What is the second derivative of -a + 2*a**4 + t*a**2 - 3*a**2 + 3*a**2 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 0.05. Let h = f + -2. What is the second smallest value in 3\/7, h, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2 + 2)*(-316*w + 174*w + 160*w)*(2 - 4 + 0).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33005 by 5.\nAnswer: 6601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 5 + 15*i + 7*i + 0*i.\nAnswer: 21*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*g - 88, 5*y + 4*g = 5*g - 175. What is y rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 11:15 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 28*x - 17080 = -3*j, -4*j - 2*x = -22774. What are the prime factors of j?\nAnswer: 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 13*j**2 + 13*j - 5. Let r be n(12). Let l(y) = 8*y**2 - 2*y + 31. What is the units digit of l(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p - 14*p - 4*p**3 - 2*p**2 + 4*p + 0*p**3 + 6*p. What is q(2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130 * 4.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/68 and -93\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 607 + 294. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -30\/2411 (b) 8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 55 + -47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/5*((-1)\/(-10))\/(30\/(-150)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 855.06 - 855. What is the closest to -2\/5 in 3, q, -1\/10, -0.05?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078191011 to the power of 1\/2, to the nearest integer?\nAnswer: 32836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -284*i + 115. Let g(p) = -95*p + 39. Let w(n) = -11*g(n) + 4*l(n). What is the derivative of w(b) wrt b?\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0*b**3 + 0 - 1\/6*b**4 + b**2 + 1\/20*b**5 + 2*b. Calculate the remainder when x(2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 620608?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/21 (b) 0.091 (c) 3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 9 = -5*v - h, 0 = 3*v + 5*h + 1. Suppose -5 = 12*t - 65. Suppose v*a - 8 = -t*a. Let q(p) = -2*p**3 - p**2. Give q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33145\/11 or -57?\nAnswer: -33145\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-19 + 112\/7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4177391 to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let u(v) be the third derivative of 28*v**5\/5 + 2*v**2 - 2*v - 204. Calculate x(u(m)).\nAnswer: 672*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**5\/8 - 613*j**4\/2 + 750311*j**3\/4 + 752151*j**2\/2 + 1505529*j\/8 = 0.\nAnswer: -1, 0, 1227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by 130?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 5*c + 4*k, 4*c - 13*k + 8*k = -92 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3228 divided by 2\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 119 = -14*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/((-4)\/16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Let s(p) be the second derivative of p**3\/3 + 3*p**2\/2 - 2*p. Let d be s(x). What is the greatest common divisor of d and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*r**3 + 0 - 347*r**2.\nAnswer: -3*r**3 - 347*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21175902 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gouoyyyoooouygoyo. Give prob of sequence goyy.\nAnswer: 2\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 11, 52, 143, 302, 547, 896?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*o**2 - 24*o**2 + 70*o**2)*(-2*o**2 - 3 + 3) - 119*o**4 - 131*o**4 + 228*o**4.\nAnswer: -52*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-7) + 42\/(-98).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*x**2 + 96*x**2 - 19*x - 26*x - 56*x**2 to the form v*x + b + a*x**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37014162*l**4 - 16*l + 3809587 wrt l.\nAnswer: -444169944*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 2. Let c be 104\/(-39)*3\/(-2). What is the second smallest value in 2\/13, c, k?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*v - 44, v - 4*h + 2 = -2. Let c be ((-10)\/8)\/(v\/32). Is 0.1 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*a**2 + 0 - 2\/11*a**5 + 2\/11*a**4 + 0*a + 2\/11*a**3.\nAnswer: -2*a**2*(a - 1)**2*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*t - 270 = -t, 4*d + 3*t = 239. What is the least common multiple of 80 and d?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 4. Let u be j(8). Suppose -f - 5*v = u*f - 205, -2*f = v - 80. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141044864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.069, 0, -102, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbccbbbccbcbbbbbbb.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, k: 13}. What is prob of sequence qk?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 u when four letters picked without replacement from rkcckrukkzzu.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2996605.423 to the nearest ten thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 68511777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-4 - -10 - 4). Let j(z) = 3*z**3 + 4. Let d(q) = 5*q**3 + 7. Suppose 5 = 8*i - 51. Calculate i*j(b) + r*d(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 29288113633*y**3\/2 + 41518620*y**2 + 35418*y + 8 = 0.\nAnswer: -2\/1613, -4\/11257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*r - 31. Suppose -18*d + 21*d - r = 0. Suppose -d = -o - 6. Let y(t) = -9*t. Calculate y(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/139? (a) 6128 (b) -2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 470 + -475. Let g(a) = -a**3 - 4*a**2 + 4*a + 6. Determine g(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -2\/13, 3\/8, -2\/7, -6722, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-9\/2)\/(v\/v**(-1\/4)*v))**(-12)*((((((v\/v**1*v)\/v)\/v)\/v)\/v*v)**37)**39 assuming v is positive.\nAnswer: v**(-2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, s: 2, p: 2, t: 12}. Give prob of picking 2 p and 2 t.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**3 - 12*l**2 - 8*l - 3. Let i(s) = 6*s**3 - 33*s**2 - 24*s - 8. Give 11*f(x) - 4*i(x).\nAnswer: -2*x**3 + 8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 706329 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 273*j - 29. Let y(f) = -274*f + 27. Let k(u) = -5*s(u) - 6*y(u). Is k(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -3*j**5\/2 - j**4\/4 + j**2 + 9*j + 18. What is the first derivative of m(c) wrt c?\nAnswer: -90*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 8*w. Solve -5*f + 11 = 2*j - w*j, 2*f - 5 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*o + 32 = 653*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let k(a) = 5291*a. What is g(k(s))?\nAnswer: 27994681*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 37*u**2. Let w(b) be the first derivative of 37*b**3\/3 + 2587. Determine w(l(m)).\nAnswer: 50653*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 84280725 a multiple of 501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546, -1118, -1690, -2262, -2834, -3406?\nAnswer: -3978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175051645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/5 - 6*x**2\/5 + 16*x = 0.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14081 - 1250 = 39*k. Let w = k - 300. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - t)*(3*t**2 - 8*t**2 + t**2).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -807?\nAnswer: -4\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1882*w = 2132*w - 5000 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -2, 1 in decreasing order.\nAnswer: 16, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35 + 34 + 32 - 109 + 33*l + 12*l**2 - 5*l**3 wrt l.\nAnswer: -30*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -98 + 102. Suppose 4*o + 2*f + 12 = 7*f, 3*o = h*f - 10. Suppose -o*y + 4*p = 8, -y = -4*y - 3*p + 15. Solve -y = -m + v, 5*v = -m - 1 - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -19*l**4 + 51146*l**3 - 402584*l**2 - 42944*l = 0.\nAnswer: -2\/19, 0, 8, 2684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-18) + -1 - -1)\/(34845\/2626). Is c > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*d + 7, 0 = -4*d - 3*z + z - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -14. Let f = 0.7553 - -0.2447. Which is the second smallest value? (a) f (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 43. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*i + 8 = 0, 5*y + i = 3 + 12. Let z be (-72)\/(-154) - (-2 + (-64)\/(-28)). Which is the third smallest value? (a) 1\/4 (b) 3 (c) y (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -922752 divided by 4\nAnswer: -230688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162 + 165. Solve -v = 4*s - 8, v + y*s - 23 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 2*c - 2 + 4)*(-2*c + 3 - 3)*(-1 - 4 + 2).\nAnswer: -12*c**2 - 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 34. Let u be 20\/4 + ((-30)\/(-5))\/2. What is the remainder when 152 is divided by k(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11649 - -12874. Calculate the highest common divisor of 1911 and f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18) - 3690\/(-135).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259515 to the power of 1\/2, to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 503*o - 573*o + 910 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19.6*-1427\nAnswer: -27969.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 8*y - 1972. Let u = 228 - y. Solve u*c - w + 3 = 0, 3*w + 0 = -4*c + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87051, -348254, -783589, -1393050, -2176631, -3134326?\nAnswer: -4266129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/54421632 and 149\/10368.\nAnswer: 54421632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 577*m + 13800. What is v(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntm when three letters picked without replacement from nnnnmtttn.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let y be 3 + (b - 0\/3). Suppose -y*h - i + 1 + 82 = 0, 2*i - 26 = -h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -3) + 1 - -1. Let f = p - -7. Suppose -24 = -f*r + 2*c + 2*c, -2*r + 12 = -4*c. Solve -r*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -cdb?\nAnswer: cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 453 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmmmmmmmmmqmmmmmmmm. What is prob of picking 3 m?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2881*w**3 + 13*w - 137.\nAnswer: 17286*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.8 - -48. Let y = -10 + i. Let l be 12\/112 + (-2)\/8. What is the second smallest value in y, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**3 - t**3 + 3*t**4 + 0*t**3 + (t - 2*t + 4*t)*(0 + 0 - 4*t**3) to the form l*t + z*t**4 + r*t**3 + h*t**2 + n and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28823592 divided by 4?\nAnswer: -7205898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + r - 10 = -2*z, 5*z = -2*r + 10. Let h be (-1)\/(-1 - z\/(-1)). Is 0 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 + -333. Suppose 0 = c*j - 1497253 - 3399947. Round j to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 208.32?\nAnswer: 2916.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 13*s - 11. Let d(n) = -n**2 - 4*n + 1. Let y be d(-7). Let b = -9 - y. Calculate the remainder when 21 is divided by z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -344 - -349. Solve -f*w - 4*j - j + 15 = 0, -w + 3*j = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwo when three letters picked without replacement from {o: 3, w: 4, x: 4}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (129 + -3)\/(-6)*-15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 454?\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 7*n = 12. What is the closest to -0.2 in 2, -1\/7, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9\/2, 4\/3 in ascending order.\nAnswer: -9\/2, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 25*j - 1421. What is the hundreds digit of b(67)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q. Let r(u) = -7027*u + 807. Give r(l(p)).\nAnswer: -63243*p + 807","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 divided by 10?\nAnswer: 287\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dduuucuumdmp. What is prob of picking 1 p and 1 u?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(0 - 1 + 0) + 17 - 10 + 4)*(-5 + 2*j**2 + 5).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-39)\/(-4)*24\/6. Suppose 11*j + y = 2*j. Let v(h) = 7*h**2 - h + 17. Let x(g) = -4*g**2 + g - 9. Let b(r) = 3*v(r) + 5*x(r). Determine b(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4*(-60)\/170*-17)\/4.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7*s - 5. What is d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u**4 + 29*u**4 + 44*u**4)*(3*u + 4 + 0 - 2)*(-2 + 0 + 3).\nAnswer: 267*u**5 + 178*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/19)\/z*z**(4\/3)*(z*z**14*z)\/z**13 assuming z is positive.\nAnswer: z**(187\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 69.9197 millimeters?\nAnswer: 69919700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5257, 5148, 5039, 4930?\n\"Answer: -109*p + 5366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3) + 11\/3. Let v be ((-69)\/27 - -1) + 2. Let j = -0.3 + 0.1. Put j, f, v in increasing order.\nAnswer: j, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3812*0.76\nAnswer: -2897.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-6) - (-2)\/(-3). Let j = 4 + l. Let n be ((-3 - -6) + j)*5. Solve -m + 2*k - 12 = 3*m, 4*m = n*k - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000392973 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (38 - (8 + (2 - 9) - -10))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 9194467*n**3 + 43.\nAnswer: 9194467*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + 5*q**2 - 2*q - 9. Let h be l(4). Let p = h + 118. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.79 - -0.21. What is the third smallest value in 0, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -19*x - 88. Determine o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.9, 4, -3, 0.198, 5, 2\/9?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 58 = 2*v, 41*p - 10*p + v - 136 = 11*p + 6*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1752803902)\/(-24))\/(8\/(-3 - -7)). Let q = u + -36528061. Let r = q + 11311. Calculate the common denominator of 41\/8 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 4. Let v be i(7). Let l = v + -1. What is the second derivative of -l*c + 3*c**5 + 3*c - 5*c**5 wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2082.631639 to zero decimal places.\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen sevenths of a week in hours?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqlllllqlqqql. Give prob of sequence lll.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001101 (base 2) in base 9?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -2 (c) -11 (d) -0.01 (e) 0.5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 d when three letters picked without replacement from {j: 2, b: 4, d: 3, s: 2, q: 6}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3861 is divided by 350.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225804?\nAnswer: 2, 3, 31, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*i**3 + 45*i**3 + 30*i**3 - 3*i + 29*i**3 - 15 to the form g*i**3 + h*i + x*i**2 + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284343, 568635, 852913, 1137171, 1421403, 1705603, 1989765, 2273883?\nAnswer: 2557951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6896?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52480631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = w - 4, w + 25 = 5*l + 5. What is the remainder when 11 is divided by 0 - (-7 - w\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1989820 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - -3?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9258957 - -1528.\nAnswer: -9257429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74294, 74277, 74260?\n\"Answer: -17*q + 74311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 18327*u**2 + 36618*u - 146568.\nAnswer: 3*(u - 2)*(u + 4)*(u + 6107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*l**(-5)*l\/(l\/(l**(-2\/5)*l)*l)*l*l*l\/(l*l*l\/((l\/(l**(-1\/12)*l*l)*l)\/l)*l*l) assuming l is positive.\nAnswer: l**(-739\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 b when three letters picked without replacement from {i: 1, m: 1, b: 1, j: 3, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 0*v - 281*v**3 + 0*v + 136*v**3 + 133*v**3.\nAnswer: -12*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89027\/111 - -29688\/37. Factor n*z**2 - 8 + 10\/3*z.\nAnswer: (z - 2)*(z + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 8:31 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 30*l**2 - 76*l + 2486. Is 91 a factor of u(42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 227, 518, 917, 1418?\nAnswer: 2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20837 - -20809. What is the closest to t in -18, 0.2, -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-2 - 8) + (25 - 17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 14*u - 164. Let g be h(-8). Let q(s) = 32*s - 375. Let m be q(g). What is the greatest common factor of m and 711?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2946 from -13904.\nAnswer: -10958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1820 - 2676. Put 3, -4, -2, a in descending order.\nAnswer: 3, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 864\/1764*(10 - (-222)\/(-18))*-1?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*((-860)\/8)\/(-5). Suppose 0 = w - c - 1385, 5*w - 4*c - 6966 = -j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.03+-28350.76\nAnswer: -28358.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8668 greater than 8672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16993, 15376, 13761, 12148, 10537, 8928?\n\"Answer: j**2 - 1620*j + 18612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5388.2 and 0.31991.\nAnswer: 5388.51991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*o - 7048 - 13766 = 42*o - 1758 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 46116479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 340108*x - 7141974.\nAnswer: -2*(x - 510141)*(x - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 589\/3 + -4129\/21. Is -2\/3155 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + (5 - -1))*36 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2038011 divided by 3\nAnswer: -679337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4743.32526 - -4784.326. Let g = 40.986 - -0.014. Let c = k - g. What is c rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1109744 and 6.\nAnswer: 3329232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 7, e: 1, b: 10, w: 1}. What is prob of sequence abg?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 - 327*c - 350. Let o(k) = -66*k**2 - 5558*k - 5942. Let j(m) = 100*b(m) - 6*o(m). Factor j(u).\nAnswer: -4*(u - 163)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 584 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 666632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (28 + -30 - (-5 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -777, -1150, -1509, -1854, -2185?\nAnswer: -2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1572 and -53\/17.\nAnswer: 26724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2853*n**2 - 1 + 5*n**3 - 3*n + 7 - 2853*n**2 to the form o + g*n**2 + p*n + m*n**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 175, 195, 239, 313, 423, 575, 775?\n\"Answer: i**3 + 6*i**2 - 5*i + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 3*l)*(12 + 6 + 10) + 2*l - 2 + 3 - 2.\nAnswer: 30*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/(-9) - ((3 - 0) + -6) and 9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 41*c - 63. What is j(-37)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -9136 - 24761*z**2 + 18279 - 9143 as m*z + y*z**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 39 - 51 = 0. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203882 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1051, 2789, 5607, 10045, 16643, 25941?\n\"Answer: 90*j**3 + 1108*j - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/8)\/((-4)\/(-16))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ala when three letters picked without replacement from fvfaafaflvaaaaaaa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -0*v - v. Let u(w) = -3*w + 21*w**2 + 3 - 15*w**2 + w**3 - 10. Let t be u(-6). What is the greatest common divisor of v and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9274022 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 14*v + 24. Suppose -91*w + 81 = -401 - 337. Calculate k(w).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2882.1+6014\nAnswer: 3131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 461391461 and 1067?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3404605, 13618416, 30641435, 54473662, 85115097?\nAnswer: 122565740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 15359707*x**2 - 29490071050804*x + 14745039365329.\nAnswer: -(x + 3839927)**2*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1263708 - 2?\nAnswer: -1263711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-36)\/(-5544)*-16*1*1\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 1, h: 1, k: 5}. Give prob of sequence nk.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 507*y - 42. Let o be j(1). Let a = -466 + o. Let k(f) = 5*f**2 - f - 2. What is k(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {g: 6, q: 1, j: 3, t: 9}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*j + 5*t, 4*t - 56 + 212 = 5*j. Let f = j + -7. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-35) - (-33)\/7. Suppose -u*v + 5 - 30 = 0. What is the tens digit of (-1)\/(v\/(-450)*-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4816619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 266951 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5.1. Let l = -0.34 + -0.66. What is the nearest to l in w, 2\/5, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 i when four letters picked without replacement from {i: 2, j: 18}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -69533?\nAnswer: 69545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eo when two letters picked without replacement from qxeoxxxpq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (14 - (-2 + 9)) - 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) + 2*sqrt(756))\/(-2*sqrt(567)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*m - 3 + 16, -4*i + 3*m = -18. Suppose 0 = -l - 4*l. Suppose z + l = i. Solve -z*a + 19 = 4*x, -a = 3*a - 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + 2 + 4*(sqrt(304) - (-4*(sqrt(304) + 5))**2)*-1 + -2).\nAnswer: 5088*sqrt(19) + 42112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 509011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.15, 2\/3, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4320*x**2 + 8642*x**2 - 4324*x**2 - 429*x**3)*(-2*x - x + 2*x).\nAnswer: 429*x**4 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 384 or 381?\nAnswer: 381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = f - 2*j + 7, 0 = -4*f + 4*j + 4. Solve -3*v + v - 4*r = 6, r - f = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3781*s**2 - 176152577*s + 1191*s**3 + 176152577*s - 1476*s**2 wrt s?\nAnswer: 7146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13543024.09 rounded to the nearest ten thousand?\nAnswer: 13540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -40*r**2 + 12*r - 37. Let y be d(3). Let n = y + 366. Sort n, -3, -0.1, -1\/2 in increasing order.\nAnswer: -3, -1\/2, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -1069*k. Let g(l) = -2*l**2. Calculate x(g(u)).\nAnswer: 2138*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3600)\/(-216)*2\/8*6. Suppose -5*k + g = x, -4*k - 41 = -3*x - 4. Calculate the smallest common multiple of 20 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*r + 326*r = -28. Calculate the highest common divisor of r and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 2.095.\nAnswer: -4.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.0253702\nAnswer: 0.2029616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + r**3 - 1 + (-r**2 + r**2 - r**2)*(3*r + 0*r - 5*r))*(4*r + 19 - 19) to i*r**4 + z*r + l*r**2 + a*r**3 + n and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41400731 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (2 - 13)) + 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261981 (base 10) in base 13?\nAnswer: -352546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/170 and 33\/3293308.\nAnswer: 16466540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14192 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*(3 - 0). Let r(y) be the first derivative of y**4\/12 + y**2 + 58*y + 39. Let c(i) be the first derivative of r(i). Give c(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*n**3*w - 107*n**3 + n**2 - 19150*n*w wrt n?\nAnswer: 216*w - 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 3. What is f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -30, -1\/11, 5, 1.54, -5\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 - v**3)*(3*v**2 + 5*v**2 + 5*v**2).\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 6 = 1. Let m = 14 - g. Calculate the remainder when 44 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*m, 2*t - 3929 = -t + 5*m. Is 33 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5421042 + 44?\nAnswer: -5420554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/14 - 43\/(-301). Calculate the highest common divisor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1191\/((-18)\/(-45) + (-17)\/30). Let l = m + 12208. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*i**3 + 112*b**3*i**2*v - 2*b**3*i**2 - 28*b**2*i**3*v - 3*b*i*v - i**3 wrt i.\nAnswer: 12*b**3 - 168*b**2*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/69 - -83\/759. Let b(g) be the first derivative of -u*g**2 - 2 + 0*g - 14\/33*g**3 - 3\/22*g**4. Factor b(i).\nAnswer: -2*i*(i + 2)*(3*i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**3 - 352*z**2 - 5278*z - 3364 = 0. What is z?\nAnswer: -29, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 925280249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -599, -0.12, 5?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8555\/129 - 199\/3. Sort 3, -5\/3, m in descending order.\nAnswer: 3, m, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18\/19 (b) 378 (c) -5 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8337269 is divided by 2907?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010122573 to six dps.\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/66 + 5\/3. Suppose 0 = l + 1 - f. Solve -l*k = -4*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2221*n - 2226*n - 4*b - 3 = 3 + 29, -26*b = -130 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -3*b**6\/20 + 7*b**3\/3 - 3*b**2. What is the first derivative of i(v) wrt v?\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 64 = -4*m. Let j(h) = 136*h**2 + 663*h - 80. Let y be j(-5). Solve m = -3*n - y*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 688 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = -2*h, 4*h + a = -h + 56. Suppose 3*u + 6 = 0, 12 + h = -5*p - 2*u. Sort p, -46, 0.\nAnswer: -46, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6444*v**2 + 24347*v**2 - 17906*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/(((-35)\/(-45))\/(-7)))\/(-1). Solve -17*r + 31 = c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417.6 + -418. Which is the closest to -6\/65? (a) f (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:18 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/16)\/(c**5*c))\/(c**6\/c**6) assuming c is positive.\nAnswer: c**(-99\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/6 (b) 0.06 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-34661.\nAnswer: -13864.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -65799 bigger than -65802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -814 divided by 2?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4) + 8 + (19 + -26 - 26).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -19*j**5\/12 - 125*j**2 - 9*j. Let s(i) = -23*i. Determine z(s(p)).\nAnswer: -50255*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-7) + 4824\/(-21). What is the remainder when 16 is divided by b\/(-25) - (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7539 and 12747?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 318, 3, 0 in ascending order.\nAnswer: 0, 3, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2036 and -64\/85.\nAnswer: 173060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffkwkffkkfwffkf. Give prob of picking 2 k and 2 f.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**1)**(-35)\/(u**(-1\/5)\/(u*u**(-2\/9)*u*u*u)))**(1\/5) assuming u is positive.\nAnswer: u**(179\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/16275 - -39044\/16275. Let 2\/5*i + c - 2\/5*i**2 = 0. Calculate i.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104.2 + 104. Suppose 2*c = 3*c - 3. Let o = -3\/5 + 17\/20. What is the nearest to o in p, 5, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2412470*h**4 - 228556*h**2 + 3*h wrt h.\nAnswer: 57899280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655407?\nAnswer: 3, 72823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 56. Suppose 0 = 5*b - q - 31. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -77*c + 5480. Determine z(99).\nAnswer: -2143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 265111134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 30*f**2 - 2*f + 1. Let b(j) = 2*j**2 - j - 1. What is 2*b(w) - t(w)?\nAnswer: -26*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1450.3 + -1450. Which is the smallest value? (a) j (b) -5 (c) 2\/93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 1*sqrt(6480) + -4 + 0)*2)**2 + 1.\nAnswer: -2592*sqrt(5) + 26245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 70*y**2 - 130*y - 403. Let q be l(68). Solve -q*t - 31 = -2*j, -j - 5*t - 19 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4497 is divided by 283.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117309*z**2 + 22*z**3 + 117302*z**2 - 7*z**3 - 6*z**3 - 6*z**3.\nAnswer: 3*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -37313.4594 - 7?\nAnswer: -37320.4594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.921501g in milligrams?\nAnswer: 3921.501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {o: 7, k: 7, m: 4}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 854 = -137*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:38 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 3:19 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + c - 30 = 5*c, -2*w + 5*c = 21. Let v = w + 18. Solve 4*b = v*p + 33, 0 = -5*p + 2*b - 4*b - 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 108*c + 108. Let f(a) be the first derivative of 270*a**2 + 541*a - 14. Let k(i) = -2*f(i) + 11*t(i). Differentiate k(d) wrt d.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.03 + 0.03. What is the smallest value in o, 0, 0.12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3463*r - 4429 = -3566*r for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916, -913, -908, -901?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 1. Let g(n) = -56*n + 2. Let v be g(d). Let y = -20 - v. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 38578494.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from byybbbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 9*b + 83. Let p be a(-22). Let n = p + 119. Let g(l) = -l**2 + l + 6. Let u be g(0). Calculate the greatest common factor of n and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -15 - 0. Suppose 0 = 4*y - 5*c - 79, -5*c + 8 = r. Suppose k - 8*k = -y. What is the least common multiple of 1 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 1. Let v(p) = -p**3 + 10*p**2 + 6*p - 11. Let x(b) = 5*i(b) - v(b). Let u be x(6). Suppose -3*a = -a - u. Solve j = -a*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502634?\nAnswer: 2, 11, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 410416*d + 1641728.\nAnswer: -4*(d - 102608)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 664*k*p**2*w*y + k*p*w + 3*k*p*y - 11*k*p + 31*p**2*w*y - 93*p**2*w - 32*p + 2*w*y + w - 37 wrt p?\nAnswer: 1328*k*w*y + 62*w*y - 186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-16))\/((-2)\/(-8))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*63\/(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123488431 to the power of 1\/2, to the nearest integer?\nAnswer: 11113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1104155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*j - 5. Let o(m) = -3*m**3 - 3*m**2 - 2*m - 1. Calculate the remainder when o(j) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d - 218 = -45*d - 205*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lot when three letters picked without replacement from {l: 2, t: 2, o: 10}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 4)*(-293*w - 349*w + 171*w) + 2*w + 0 + 0.\nAnswer: 473*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4736*m. Let s(v) be the first derivative of -5*v**2\/2 + 12587. Calculate s(u(q)).\nAnswer: -23680*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158883?\nAnswer: 3, 211, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1610697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (26\/13)\/(4\/514) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -10*y + 4*y - 7*y. Let d(s) = s. Determine b(d(c)).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 714638891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (24\/88)\/((-33)\/1089)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/13 - (-2 - (4 - 7)). Let d = f + 136\/117. Suppose -34 = p - 34. Which is the nearest to -2? (a) d (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6211 - -6206. Let t(x) = 2*x + 3*x**2 + 2*x - 5 + x**3 + 3*x**2. Give t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*i + 8 = -7*i, 2*g - 8 = 3*i. Sort g, 0, -4.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 6, u: 1, o: 1, c: 1, p: 3}. Give prob of sequence opsp.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/4)\/((-3)\/794466). Let t = r - 9856521. What is t rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*(2 + sqrt(2880) - sqrt(2880))**2 - sqrt(2880) - sqrt(2880)) + (-3*(sqrt(2880) + -3 + sqrt(2880)))**2 + -1)*4.\nAnswer: -10560*sqrt(5) + 415020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s)\/(s*s**(-6\/11)\/s)*s**(-1\/6)*s*(s**2*s)\/s assuming s is positive.\nAnswer: s**(-371\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/36)\/((-285)\/225 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 14. Let u be -1 - 28\/(-4) - -2. Is i(u) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40318, 80620, 120922?\nAnswer: 161224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(704) - (-4 + sqrt(44)\/sqrt(4)).\nAnswer: 4 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-1 + 0) - (-625 - -619).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(sqrt(36)\/sqrt(150)))**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1934 and 0.4.\nAnswer: 1934.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - a = 8, 3*a - 4 = -2*b + 2*a. Suppose -j - 151 = -b*y, 0*y + y = j + 53. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999405 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(1\/2)*g)**(1\/32)\/((g**(2\/5)*g)\/g*g**3) assuming g is positive.\nAnswer: g**(-1063\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -j + 163, 0 = -4*z + 3*j - 655. Let m be (-12)\/4 - 1*z. Let s = m - 105. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211111200 (base 3) to base 7\nAnswer: -210135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163465.\nAnswer: 5, 32693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*n + 12 = 0, 7 = 2*l - 5*n + 45 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*u**4\/2 - 112665*u**3 - 3935538*u**2 - 3094348*u - 615264 = 0. What is u?\nAnswer: -34, -2\/5, 9048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1471 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1072 - 696. Let z = d - 310. Is 38 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84773, -82529, -80301, -78095, -75917, -73773, -71669?\nAnswer: -69611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*n**2 - 2*c*n - 1254201*c - n**2 + 1737*n with respect to n.\nAnswer: 6*c*n - 2*c - 2*n + 1737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -61. Solve -3 = -g*j + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 15*m - 2. Let w(u) be the first derivative of 4*u**3\/3 - 22*u**2 - 7*u - 1759. Calculate 7*b(t) - 2*w(t).\nAnswer: -t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3138682?\nAnswer: 2, 59, 67, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 48 = -13*r. Suppose 0 = -4*g + 59 + 13. Calculate the highest common divisor of r and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l. Suppose -2*s + s + 10 = l. Calculate the greatest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.584 less than 156?\nAnswer: 152.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1965 and 716439?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -227 (c) -963\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (18 - 12) + (-15 - -20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**2 + 17*n**6 - 29*n**6 - 2*n**2 wrt n.\nAnswer: -1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:48 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 - 0.01. Let s = 0.5 + n. Let t = -294 + 2355\/8. Sort t, s, 4 in decreasing order.\nAnswer: 4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**6))\/(u\/u**(-7))*u**(2\/3)*u*(u*u**(-5))\/u*u*u\/(u*u\/u**(-3\/5)*u)*u**2*u\/(u**(-1\/5)\/u*u*u*u)*u*u\/u**(-3) assuming u is positive.\nAnswer: u**(-191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -72, -135, -222, -333, -468, -627?\nAnswer: -810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c + 20669 = 21593 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -69721, -139448, -209175, -278902, -348629, -418356?\n\"Answer: -69727*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3537116.2 to the nearest one thousand.\nAnswer: 3537000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40670 and 96695.\nAnswer: 9476110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*k)*(2*k**2 + k**2 - 2*k**2)*(-3*k - k + 5*k).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = -3*a + f, -2*f = -a + 1. Suppose -5*g - a = -3. Solve -4*h + 4 = -g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 3507666?\nAnswer: -7\/184614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.3 + -0.3. Let i = 8.9 + -8.4. Which is the nearest to 0.01? (a) i (b) s (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -32 + 18. Let o(p) = p**3 + 7*p**2 - p - 3. Let b be o(-7). Calculate the common denominator of (-1854)\/(-24)*b\/18 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -8, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 1)*(2*s - 3*s + 0*s) + (4*s - 2*s - 5*s)*(6 - 5 + 5) + (0*s + 4*s - 3*s)*(-4 + 2 + 1) + 2*s - s + 4*s to m + z*s and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3797002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260592 and 3843?\nAnswer: 5472432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 82, 854, 10\/13, -2\/11, -3?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310964 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n**2)*(n**2 + n**2 + 8*n**2).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -1. Let f(n) = -73598*n + 4. Let a(r) = -5*f(r) + 30*v(r). Suppose -890 = 250*q + 506 - 146. Let o be a(q). What is o rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 123. Suppose z = 5*o + 5*n, 2*o + n - 22 = -2*n. Determine q so that 2\/3*q**3 + 0*q**2 - 7\/3*q**o + 0 + 0*q + 5\/3*q**4 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 1523166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87075*o*u**2 - 185720*o*u + o + 30*u**2 + u wrt u.\nAnswer: 174150*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -19 - (3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/625*(3\/(-2) - 1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2038, -2033, -2018, -1987, -1934?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4701\/2 - 2307. Let g = 659 + -3319\/5. Calculate the common denominator of u and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a + 3. Let l(r) = 3045*r + 2720. Let h(d) = 18*c(d) + 2*l(d). Find the first derivative of h(x) wrt x.\nAnswer: 6378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1496 and 0.57.\nAnswer: 1496.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 122*m**2 + 126*m - 606. Give s(121).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -2021, -7129, -17191, -33875, -58849?\nAnswer: -93781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -131310222313 (base 4) to base 11\nAnswer: -445a792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 1752*n + 383688.\nAnswer: 2*(n - 438)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b + 15. Suppose -2*g = -2*x + 24, b*x - 16 = 3*x - 2*g. List the prime factors of 23\/5 + (-6)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2260 is divided by 377.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260.8151 years to millennia.\nAnswer: 0.2608151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.86 + -8.86. Which is the third smallest value? (a) 4 (b) 7 (c) -4 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/24094 and -17\/9.\nAnswer: 216846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 480*s - 476*s. Calculate the remainder when 188 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-2\/7)*x*x*x**(-4) assuming x is positive.\nAnswer: x**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/107240 and -89\/520?\nAnswer: 1394120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -21. Let h = 5 - f. What are the prime factors of 76\/6 + 4\/h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x + 984. Let w(c) = -9*c - 3819. Determine -26*n(q) - 6*w(q).\nAnswer: 2*q - 2670","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 218\/(-9) + (1264\/(-144) - 9*-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -271, -401, -533, -667?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*z**2 - 2 + 4*z**2)*((2 - 2 - 2)*(6 - 4 - 3) + 26 - 48 - 41).\nAnswer: -122*z**2 - 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1566612 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 19\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, m: 4}. What is prob of sequence mmm?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 3*j - 12. Let c be w(-15). Suppose 1353 = 13*r - c. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -30. Let o = s + 30. Is o less than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 5*y**2 - 2*y - 4. Suppose 0 = -4*x - 0*x. Suppose x = -5*k + p - 21, 3*k + 13 = -2*p - 10. List the prime factors of o(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -13*a**5\/20 - 15*a**2\/2 + 44*a. Differentiate m(x) with respect to x.\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13349\/7517 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 11*s**5\/15 - 7*s**4\/6 - 64*s**2. Find the second derivative of z(a) wrt a.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340241 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 3*x**2\/2 - 20*x - 1. Let r be m(9). Let z(b) = 4*b**2 - r*b**2 - b**2 + 5*b**2 + 7*b. What is z(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -416, -802, -1186, -1568, -1948, -2326, -2702?\n\"Answer: k**2 - 389*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 24 - 24 = 0. Let r be ((-9)\/h + 1)*1. Are r and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 17*z + 13. Let u(w) = -4*w - 3. Let o be (-10)\/(-2) + 10\/(-5). Let s = o - 1. What is s*j(i) + 9*u(i)?\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + (9 - 25))\/1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - k. Let q(h) = 118*h**2 + 5*h + 8. Let c(o) = q(o) - 3*v(o). What is the hundreds digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1161, 4663, 10487, 18633, 29101, 41891, 57003?\nAnswer: 74437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 40.7. Which is the smallest value? (a) p (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 11*a**4 + 2*a**3\/3 - 47*a + 4. Find the first derivative of t(p) wrt p.\nAnswer: 132*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**4 - 2*c**4 + 6*c**4)*(-1 - 3 + 5) + (-1 + 0 - 1)*(0*c**4 + c**4 + c**4) in the form o*c + p*c**4 + r*c**2 + w + j*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57951.1ng?\nAnswer: 0.0000000579511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 16. Let r(z) = -3*z + 31. Let y(a) = 9*o(a) - 4*r(a). Let m be y(-6). Suppose 0 = 3*g - g - 3*k, -5*g + 5*k = 0. Solve -8 = m*w - g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 588, 3924, 9474, 17232, 27192, 39348, 53694, 70224?\nAnswer: 88932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**3 + 78500*q**2 = 0. What is q?\nAnswer: 0, 15700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/15)*m)\/(((m*m**(-1\/61))\/m)\/m))\/((m*m*(m**(-35)*m)\/m*m*m*m)\/(m*m\/m**(-5\/7))) assuming m is positive.\nAnswer: m**(224158\/6405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4962 = 3*p + 2*i + 775, -20 = 4*i. Let f = -4189\/3 + p. Solve 32\/3 + 2*w**4 + 2\/3*w**5 - 32\/3*w**2 - f*w**3 + 0*w = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -7 in descending order.\nAnswer: 5, 0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454667.\nAnswer: 3, 61, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 18 + 0*n**5 + 0*n**2 - n + 5\/3*n**6 - 23\/12*n**4 + 0*n**3. What is the third derivative of o(z) wrt z?\nAnswer: 1200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*v**2 - v - 6*v + 5*v**2 + v wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14875 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j - 41299470 = 17*j. Let r = j - -191805. What is r rounded to the nearest ten thousand?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-6))\/(53\/(-159)). Sort 5, -19, f, 1.\nAnswer: -19, f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1 - 1)*-35. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -1\/5, -0.5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y - 96. Let l(v) = -43*v - 307. Calculate the least common multiple of l(-9) and p(13).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (9 + -8 + -8 + 5 + 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - 9*i - 4*i**2 - 4*i + 2*i**2. Let h be x(7). What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - -0.5. Let c = -1.2 + x. Suppose b - 20 = -3*m, -5*m + 29 = 4. What is the nearest to c in 2\/3, b, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6641*n - 378. Let t(k) = -k. Calculate w(t(s)).\nAnswer: -6641*s - 378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 0.04. Let s = r + -2.9. Let v = s - -3. Which is smaller: -1\/10 or v?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 d, and 1 s when four letters picked without replacement from ydyysdsnyyyyndyynh?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-54)\/(-15))*8\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 592, 1319, 2326, 3607?\nAnswer: 5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -740 + 974. Let m = k + -230. Factor -2*t - 1\/4*t**2 - m.\nAnswer: -(t + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 c when three letters picked without replacement from zhhhzfhhzbfzzcbz?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:08 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -986*f**3*x**4 + 6*f**3*x**3 - 11816*f**3 wrt x.\nAnswer: -3944*f**3*x**3 + 18*f**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*3304\/20237?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 12 = 12*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:44 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:48 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10404 is divided by 3467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41873 is divided by 722.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*q + 400*q - 80*q - 219*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = -3*o + 18, 3*o - 3*t = 36. Suppose -g + o = 1. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 381827, 763635, 1145427, 1527203, 1908963?\nAnswer: 2290707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86671.83 centuries?\nAnswer: 866718.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 888 + -510. Find u such that -36*u**4 - 63*u + z*u**3 - 12 - 327*u**2 + 171*u - 111*u**4 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 303972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23164\/7 - 3309. Let o(j) be the third derivative of 0 - 1\/42*j**4 - 1\/210*j**5 + q*j**3 + 0*j + j**2. Suppose o(a) = 0. What is a?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 12, 14*h + 3*b = 13*h + 15. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077 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: What is the third smallest value in -0.5, 0.3, 5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - 92\/(-8))\/((-4)\/((-64)\/(-156))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13377 and 3913?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + (4 - 1) + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -219*f**2. Let t(p) = -13*p. Give z(t(j)).\nAnswer: -37011*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/13)*d**(-1\/13))**(3\/13)\/((((d**7*d)\/d)\/d)\/(d\/d**(-3\/10))*((d\/(d**(-7\/3)\/d))\/d)\/d**(-1\/13)) assuming d is positive.\nAnswer: d**(-40129\/5070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 + 670\/20 + -21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, 1\/4, -5, -0.2, 1\/22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*q**3 - 604*q**3 + 1807*q**3 - 583*q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1398 + -1386. Calculate the lowest common multiple of g and 2448.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76675067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149817567 to the nearest integer?\nAnswer: 12240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021200 - 12?\nAnswer: 1021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660814352?\nAnswer: 2, 11, 31, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 536, 802, 1086, 1394, 1732, 2106?\nAnswer: 2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t**2 - 42*t + 136. Calculate v(3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 5)*(-1650 + 6641 - 17957 + 50903 + 42658)*(s**4 + 3*s**3 - 3*s**3) in the form v*s + o*s**2 + d + h*s**3 + q*s**4 and give q.\nAnswer: 80595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56797 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47876523, -95753047, -143629571, -191506095?\nAnswer: -239382619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.527427 to 3 dps.\nAnswer: 0.527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1852 divided by 2\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.159 + 24.241. Let x = m + -0.4. Let d = -23.9951 + x. Round d to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25772629?\nAnswer: 17, 1516037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66) - sqrt(66))*-3 + (sqrt(66) + (-2*sqrt(66) - sqrt(66)))*-5)\/((sqrt(294) + -2*sqrt(294)*4)*5).\nAnswer: -sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 8:09 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-6)*((-4)\/(-3))\/((-114)\/228)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28755 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4222307114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 111\/3277 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5174005699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662 + 12*y + 5332 - 2670.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-2))\/((-6)\/(-12)). Suppose -x - g + p*g = 5, -5*g = 5*x + 50. Let v = 15 + x. Is 5 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075443500 rounded to the nearest 1000000?\nAnswer: 1075000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y + 21. What is k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/35)\/((-36)\/(-90)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*j + 196*j = 97*j - 368*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.19 - 0.29. Let v = u - -1.5. Let a = -1.2 + v. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d96c - a?\nAnswer: -6d978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 111011001000111 (base 2) to base 7\nAnswer: 154164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 2. Suppose 5*k - 3 - 4 = -f*z, -4*k - z = -5. Sort k, -4, -5 in ascending order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637958 to the power of 1\/2, to the nearest integer?\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/330*-15*(-6)\/10).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z**2 - 8*z - z**3 + 6*z**3 + 2 + 0*z**3. Let a be h(-7). What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*a - 1204 + 348, -2*a = p - 860. What is the remainder when a is divided by 124?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 + 32786*h.\nAnswer: 2*h*(h + 16393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 57*f**2 - f + 1. Let d be 2 - (-6)\/(-2) - 15. Let i = -15 - d. Is a(i) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2352 and -29\/840.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.7 + -15. Let h = -2.7 + k. Let s = -0.6 - -1. Which is the smallest value? (a) 0.1 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 5. Let l(i) = 6*i**3 - 2*i**2 + i. Let z be l(1). Suppose 4 = z*p - p. Solve 3*n - d - p = -w, -3*w + 2*n = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2780 = -4*c - d - 3*d, 3*c + 2075 = -5*d. Let x = c + 1497. List the prime factors of x.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + -3 + (1 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 - 5*q - 9. Calculate p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6)*w*w)\/(w**11*w)*w**9*w\/(w**(-2\/7)*w)*w*w assuming w is positive.\nAnswer: w**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*a + 258 - 258 - 746*a**2 + 12*a in the form m*a + g + u*a**2 and give u.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1104097, -4 in decreasing order.\nAnswer: 1104097, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 357745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7392 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -10. Suppose 2*m + 5*l + 14 = 0, g*l + 14 = -5*m - 0*l. Suppose 0 = -5*t + 3*t - 2. Which is bigger: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*q - 7 = -2, 0 = -5*g + q + 17. Let w = 0.06 - 0.16. Let z = 95\/2 + -47. Which is the third smallest value? (a) w (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/3, 2, 4, -0.113 in increasing order.\nAnswer: -2, -2\/3, -0.113, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - 28?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 13*x + 15. Let p be k(-12). Let m(j) = 42*j**2 + j. Let s be m(p). What is the hundreds digit of (-3 + s\/(-15))\/(3\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23935 - -1592. Suppose -68*k + 71*k - r = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 885 - 906 = 2*z, -41*n - 3*z = -105 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*s**3 - 11440260*s**2 - 48430788000*s - 241868018000 = 0.\nAnswer: -109970\/13, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibhhhhhrriciro. Give prob of sequence ob.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14471 + 53?\nAnswer: -14417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 28) + 24 + 1 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/913, 12, -38?\nAnswer: -3\/913","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*m - 31*m = -87*m + 2577 + 41 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 63. Let o be 122\/10 - (-1)\/(-5). Solve x*w + 3*w = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -y + 2108, 4*y = -2*l + 196 + 640. Calculate the remainder when l is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*u = 0, -2*m + 6*m - 2*u = 0. Solve 8*b - 4*b - 6 = o, m = 5*b - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120842 - 11869 - 10383 = -21*b. Calculate the remainder when b is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 143.60115307?\nAnswer: 130.60115307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82200586, -164401176, -246601766, -328802356?\nAnswer: -411002946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + 12. Suppose c + z + 1 = 2*l, -3*l - 33 = 5*c. Let s = c + 15. Solve s = -4*f + 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -2 (c) 3.9 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((-6*sqrt(108) - sqrt(12) - sqrt(12)) + sqrt(12) + sqrt(12)).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o + 2. Let r be p(3). Find the second derivative of 0*t**5 - t**5 + r*t - t wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264549.\nAnswer: 7, 323507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 + -138 + -47 + 50?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.31 - -0.21. Sort v, -2, -5, -2\/15 in increasing order.\nAnswer: -5, -2, -2\/15, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/2 + v**3 - 47. Let k(g) = 1. Determine -3*k(q) + z(q).\nAnswer: 2*q**3 + 3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -205 + 214 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5271751738.\nAnswer: 2, 11, 239625079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -4, 0, -15, -3, -72 in increasing order.\nAnswer: -72, -15, -4, -3, 0, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 22 - 42*i + 29 + 94*i + i**2 = 0?\nAnswer: -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31739 is divided by 1176.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-8))\/((-105)\/72))\/((-3375)\/5625).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/19980 and 73\/342?\nAnswer: 379620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003494501 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(1400) + sqrt(1400))\/(-2*sqrt(1152)) + 5.\nAnswer: -5*sqrt(7)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373974*u - 167 = 374141*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 981700000 to the nearest 1000000.\nAnswer: 982000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 - 54. Let c = 39 - t. Let x = 232\/3 + -78. What is the nearest to x in c, 3\/2, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1496 and 435336.\nAnswer: 435336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 + 3 = 0. Suppose i = 4*i - 12. Solve i*m + w*c = -13 - 8, 2*m - 27 = 5*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89.7, -6, -0.2, 0.1 in ascending order.\nAnswer: -6, -0.2, 0.1, 89.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36553 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -478.35 and -3?\nAnswer: 1435.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1011 + -11?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 5*x**2 - 333 + 164 + 169.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5119.68251 rounded to 0 dps?\nAnswer: 5120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 16 = -3*x, 4*x + b = -0*b - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**6\/300 + 31*t**5\/225 - 7*t**4\/60 + 53*t**2 - 27*t. Factor p(j).\nAnswer: 2*j*(j + 21)*(3*j - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 233156449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 g when three letters picked without replacement from gmmhfgmmomommsmmmm?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40767?\nAnswer: 3, 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 9:22 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 10*a**2 + 9*a + 5. Let s be o(-9). Suppose s*g - 2*g = 9. Solve -2 = -5*k - g*n, -2*k - 3*n + 1 = 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*s**3 - 7 - 87*s**3 - 2)*(-s + s - s**2).\nAnswer: -12*s**5 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 620 = -500 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 5, h: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4086 = 4*a + 3690. Let o = a + 2731. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 3, 10, 29, 66?\n\"Answer: m**3 - 3*m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*b**4 - b - 4*b**3 - 3*b**2 + 13*b**3 + 0*b**2 - 6*b**3 in the form l*b**3 + k*b**2 + d*b + i + q*b**4 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 + 2*l. Let v be o(-3). Let a be (2*2\/8)\/((-7)\/v). Suppose -5*g - a*x + 833 = 0, g + 3*x - 170 = -x. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**4 + 8*j**3 + 2*j**2 + 2. Let h(r) = 7*r**2 - 51*r**4 - 16*r**2 + 0*r**2 + r**5 - 39*r**3 - 11. Let p(z) = -4*h(z) - 22*y(z). Factor p(a).\nAnswer: -4*a**2*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 - -0.39. Let p = x - 0.563. Let k = -10.753 - p. Round k to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:00 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1*f)\/f**7 assuming f is positive.\nAnswer: f**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(1\/55)\/(i**2*i**(-1\/4))*((i**(-4\/7)\/i)\/(i*i\/(i**(-2\/9)\/i)*i))\/(i**0\/i**4) assuming i is positive.\nAnswer: i**(-893\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176\/(-20) - 10\/50?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330 and 231.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4))\/sqrt(9) - -1*sqrt(50).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/28)\/(1384\/4152).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43297, 43109, 42921, 42733?\nAnswer: 42545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*z - 2*c + 10*c + 51, 0 = 15*z - 19*z - 43*c - 344 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 30 - 42 = 0. What is the second derivative of 17*p**j + 14*p + 71*p - 12*p - 3*p**3 - 3*p**5 wrt p?\nAnswer: -60*p**3 + 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p*p*p\/p**43*p)**(-41) assuming p is positive.\nAnswer: p**1517","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2974856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2184*k**4 + 5*k**2 - 9*k wrt k?\nAnswer: 52416*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 + d**2 - 2*d**2 + 1 + (d + d + 2*d)*(d - 2*d + 0*d) as r*d**2 + z*d + m and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 - -20. Let j = 15.8 + y. Let n = 1.513 + -1.013. Which is the biggest value? (a) j (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -175908, -175907, -175904, -175899, -175892?\n\"Answer: y**2 - 2*y - 175907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6896*n**6 - 4*n**2 - 118 - 13156*n**6 + 7030*n**6 + 43 wrt n?\nAnswer: 92400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 4*t**2 - 19*t**2 + 3*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 2426\/3?\nAnswer: 2426\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8252.763 micrometers?\nAnswer: 8.252763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114379898?\nAnswer: 2, 57189949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3844582 times -0.4\nAnswer: -1537832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, 10\/2581, -7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/236269154759 - 85113364041104761\/14488024569821880. Let m = l - 2\/7665. What is the common denominator of m and 7\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 488 = 592. Solve -2*u - 2 = 5*x - k, -3*u = 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(5)*2 + 0.\nAnswer: 3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**3 - 2*b**2 - 7*b**3 - 11*b**3 - 7*b**3 - 3 - b as r*b**3 + y*b**2 + m + c*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/4 + 7*t**4\/6 - t**3 - 81*t**2 - 4*t - 362. Find the second derivative of c(k) wrt k.\nAnswer: 30*k + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263434029.\nAnswer: 11, 13, 211, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(540))\/(sqrt(5) - 2*sqrt(20)\/sqrt(4))*-3.\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8316866 and 18179?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 664070882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.771 + 324?\nAnswer: 323.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-125)\/175)\/(-1).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -96 + -1?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1266222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -109*k**4 + 9*k**2 + 139*k - 18. Let d(z) = -54*z**4 + 4*z**2 + 70*z - 8. Let h(t) = 9*d(t) - 4*x(t). Find the second derivative of h(j) wrt j.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80747 or -80744?\nAnswer: -80747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 223894273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 157*z + 9. Let l be i(7). Let f = -5521\/5 + l. What is the common denominator of f and (-31)\/(-3 - (-3 - -4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*-0.2127578.\nAnswer: 0.29786092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418683?\nAnswer: 3, 67, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**2 + 17 - 22 + 5*g**2 + 2*g**4 + 0*g**4 to the form w*g + x*g**3 + k + c*g**2 + b*g**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (3544\/56 - 2) + (-4)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 3:04 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 305 - 305 - 4*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12318 + 561.\nAnswer: 561.12318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89476 or 89477?\nAnswer: 89477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 9*r**5\/5 + 372*r**4\/5 - 2547*r**3 + 20418*r**2\/5 - 8064*r\/5 = 0.\nAnswer: -64, 0, 2\/3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 104*k**2 + 2*k - 6. Suppose 0 = 20*v - 23*v - 9. Let g be i(v). Suppose -h = -8*h + g. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millisecond in microseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 7*o**2 + 8*o + 6. Let b be f(-7). Let w be 18\/81 - b\/18. Suppose -46 = -w*p - 5*l, -5*p + 53 = -2*p - 2*l. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398533825 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s + 2. Let h(t) = -4*t + 2. Let x(l) = -4*h(l) + 3*q(l). Let k be x(2). Suppose -k*c + 2*c + 44 = 0. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20313 + 3014201?\nAnswer: 3040014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137984 is divided by 914?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c**4\/4 - 2139*c**3\/4 + 18235*c**2 - 84900*c - 126000 = 0.\nAnswer: -20\/17, 7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 - 7*j**2 - 5*j - 18. Let d(y) = -y**3 - 11*y**2 - 3*y - 27. Let l be d(-11). Does 6 divide q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -30*b**3\/7 - 132*b**2\/7 - 30*b\/7 + 72\/7 = 0.\nAnswer: -4, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3 - 4*y**2 - 5 + 3*y**2 - 7*y. Let n be r(-6). Let v = 2 + -44\/21. What is the closest to n in -0.4, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2, 8, 22, 34, 38, 28, -2, -58?\n\"Answer: -d**3 + 8*d**2 - 7*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.19 - 34. Let o = -0.12 + y. Let f = o + -0.06982. What is f rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 335 - 143. Suppose 197*v = c*v + 990. Calculate the greatest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 + 73.86. Let v = 0.14 + b. What is the nearest to v in 0.1, -0.4, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2 + 6 = 0. Suppose d = 4*x - 11, 2*x - 7*x + l*d + 16 = 0. Calculate the greatest common factor of x and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 6*d + 3*d)*((1 + 4 - 3)*(2 - 2*d**3 - 2) - 3*d**3 + 0*d**3 + d**3 - 2*d**3 + 2*d**3 + d**3)*(1 - 2 + 3).\nAnswer: 20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:12 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 1:33 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4349*b**3 + 10*b**2 - 5*b - 100. Let l(k) = 2175*k**3 - 4*k**2 + 2*k + 40. Give 4*h(x) + 10*l(x).\nAnswer: 4354*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = a - 78. Let q = 201 - a. Solve q = 3*p + 24 - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l**2 + 0*l**2 + 0*l**2)*(-6*l + 2*l + 3*l) + 2*l**3 - 3*l + 3*l)*(5 + 1 + 3).\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 + 3*q - 2. Let f be w(-3). Let s be f\/(33\/(-306)) + -2. Calculate the highest common divisor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -35\/7426 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p - 3*p)*(179 + 6378 + 3312).\nAnswer: -19738*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u**2 - 7*u**3 - 10*u**2)*(-5 + 4 + 0).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4170 = -3*a, 6*a - 3*n + 4158 = 3*a. Is a > -1390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.06, -1.62, 4?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.416 + 1.156. Let t = -0.24 + p. What is the third biggest value in -2, t, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Let r = g - 3. Let k = -12207.8 + 12207.7. What is the closest to 4 in k, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 7*h**2 - 7*h + 5. Suppose 0*l + 12 = 2*l. Let v be m(l). Let r(n) = -4*n**3 + 2*n + 1. What is the units digit of r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-255)*(-204)\/34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 6*d + 5. Let b = 7 - 13. Let t be i(b). Let g = -2 + 15. Solve -t*s - 12 = g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*a - 1501 + 95 + 130 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/24 - z**3\/6 - 162*z**2. Let a(c) be the second derivative of -c**4\/6 - c**3\/3 - 3*c**2 + 54*c. What is a(b) + 2*u(b)?\nAnswer: -2*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let r(k) = -k**2 - 2*k - 2. Let m be r(y). Is m\/7 + (-156)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5 = -5*l + 2117, -b - 424 = -l. What is the highest common factor of 51 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 18. Calculate the smallest common multiple of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2 + 62*p + 32. Suppose -4*i + h = 65, 0 = 3*i - 8*h + 9*h + 40. Let o be g(i). Let -7\/2*a - 2 + 1\/2*a**3 - a**o = 0. Calculate a.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -12*c**2 - 27*c + 71*c - 44*c. Let l(q) = 18*q**2. Determine l(p(g)).\nAnswer: 2592*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26786\/9 - -2976. Let y be 1\/((-12)\/(-9) + -1). Suppose -y*m + 4 = -7*m. Put i, m, 2\/5 in decreasing order.\nAnswer: 2\/5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8190)\/(-364)*6\/9 + -57.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.58 + 10.58. Let v be -6*(1 + 2\/(-4)). Let u = v + 7. Is u >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -114341.69.\nAnswer: -114381.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqm when three letters picked without replacement from {g: 3, q: 1, m: 7, w: 5}?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2840 by 568.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 + 148. Let o = k - -230. Suppose 0 = 4*u - o - 214. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-8)*8\/6. Let j be l*(6 + -4 + -2). Suppose 4*v + 7 - 19 = 0, -5*w + 5*v + 1299985 = j. Round w to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018028556 rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1284*s + 1284*s - 2*s**2)*(3 + 5 - 5) + 3 + s**2 - 3 + (-s + 0*s + 2*s)*(5*s - 2*s - 5*s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 - 159*z - 577. Let g be o(35). Which is smaller: 4827\/4 or g?\nAnswer: 4827\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.5, 1\/2, -1\/32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6911187 decades?\nAnswer: 6.911187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 34547360.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -243, -16, 12 in descending order.\nAnswer: 12, -16, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 862854667 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqoqos. Give prob of sequence oo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 867944921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48\/5 of a tonne?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15254*j + 15 = -3*g + 15250*j, 4*g = -j + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.246881 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000392853 to 6 decimal places.\nAnswer: -0.000393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1100) + 2*(-1 + sqrt(1100)) + sqrt(1100) + -4 + 0 + sqrt(1100) - 3*(1 + sqrt(1100))*-4) + 5)**2*-4.\nAnswer: -1272624 - 21760*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2*y**4 - 5*k**2*y**2 + 3*k**2*y + 2*k**2 - 2*k*y**6 - 16*k*y**3 wrt y?\nAnswer: -72*k**2*y - 240*k*y**3 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/13209 + -325813\/118881. Let m be -11 + (-6 - -18) - (0 - -49). Calculate the common denominator of ((-14)\/m)\/((-2)\/14) and i.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10327007 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5270 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072924167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xeor when four letters picked without replacement from rxxjxexrjxjorrooojo?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1*(17 - 0)*37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 14, -0.02, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -3 (c) 1 (d) 0.4 (e) 842504\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46197.\nAnswer: 3, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 81, 186, 333, 522, 753?\n\"Answer: 21*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - -63. Sort 2\/3, -1\/4, l, 0.05 in descending order.\nAnswer: 2\/3, 0.05, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, -5, -2.\nAnswer: -5, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 11. Let o(h) = -3*h - 10. Let u(m) = -4*o(m) - 5*s(m). Let b be u(8). Let g(l) = 10*l**3 + 2*l**2 - l. Give g(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k + 37. Let s(u) = -4*u - 9. Calculate 6*r(j) + 26*s(j).\nAnswer: -2*j - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -91*b - 181625. Let a(h) = h. Calculate a(y(x)).\nAnswer: -91*x - 181625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -47. Suppose 0 = k + g*k. Solve 6*c + 12 = 3*w + 4*c, k = -w + c + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*s - 40. Let h(l) be the second derivative of 0*l**4 + 1\/120*l**s + 2*l + 0*l**3 - 1\/80*l**5 + 0 + 0*l**2. Factor h(u).\nAnswer: u**3*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-112))\/((-12)\/(-7)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 1028*a**2 - 2 + 11 - 1092*a**2 with respect to a.\nAnswer: -128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 59, 0.3, -2\/257, -7\/6 in ascending order.\nAnswer: -2, -7\/6, -2\/257, 0.3, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1634882.\nAnswer: 2, 37, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 41*b**2 - b - 39. Calculate the remainder when 2 is divided by v(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -1 - (-2329 - -2350)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2. Let g(f) = -f**2 - f + 12. Let m(y) = 60*y**2 + y - 12. Let d(o) = g(o) + m(o). Calculate d(x(r)).\nAnswer: 531*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35181*d**3 + 11*d**2 - 856441*d.\nAnswer: 211086*d + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*y + 160 = 0, 5*y = 4*t - 56 - 104. Let n = 74 - 60. What is the remainder when t is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 5*i - 15. Suppose -i*w + 92 = -8. Let v = w - -1. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 15*x + 11. Let z be k(10). Let m = 6 + -6. Suppose v = -m*v + z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/24 + -4 + 2. Let h(l) be the second derivative of 0*l**3 - o*l**4 + l + 0 + 1\/2*l**2. Differentiate h(c) with respect to c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2139, 4171, 6211, 8265, 10339, 12439, 14571?\n\"Answer: m**3 - 2*m**2 + 2031*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7044, -11449, -15854, -20259?\nAnswer: -24664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -51. Suppose -o = -a + 10, -5*o + 3*a - j = 37. Let y be (-14)\/o + (-6)\/(-9) + -2. Let n(p) = -p**3 - p**2 + 2*p - 1. Determine n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a - 36 + 26*a**2 + 31*a**2 - 53*a**2 = 0. Calculate a.\nAnswer: -3\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -250. Let s = q + -64.8. What is s rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 288 - 10*w**4 - 288 + 47*w**2 wrt w.\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90170 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 196 - 54 - 45 + 123 as o + s*j and give o.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2. Let n(c) = -c + 9. Let q(g) = -5*b(g) + n(g). Determine q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24306*l**3 - 2*l + 230295 with respect to l.\nAnswer: 72918*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27861 - -2006063\/72. Find the common denominator of 115\/36 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddjmjmdmddjjmamumdj. Give prob of picking 1 a and 1 d.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(60)*1)\/sqrt(12)) + sqrt(4)\/(sqrt(2) - 2*sqrt(4)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 468864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 7*u**6\/3 - 5*u**3\/3 + 3. What is the third derivative of m(y) wrt y?\nAnswer: 840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let b(t) = -3476089*t. Give v(b(m)).\nAnswer: -12083194735921*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14817 divided by 11?\nAnswer: -1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -12. Let m = -6.728 + -0.072. Let q = m - w. Which is the third biggest value? (a) 4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 47 = 56. Let w = -74 - a. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297 by 2565.\nAnswer: -11\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14970, -14921, -14840, -14727, -14582?\nAnswer: -14405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -49*g**6\/60 + 11*g**5\/30 - g**3\/3 + 154*g**2. What is the third derivative of w(d) wrt d?\nAnswer: -588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309588 and 6?\nAnswer: 309588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*j - 40 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7645691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+1453196\nAnswer: 1453196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwylylwyyklwlkzsl. Give prob of sequence zw.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3798)\/4431*(-56)\/(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107.878 + 108. Let q = w + -5.122. Let p = 3.3 - -0.7. What is the nearest to 0.1 in p, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*n**3 + k**2*n + 2*k**2 - 62*n**5 - 1289*n**2 + 91*n - 31 wrt n?\nAnswer: 12*k**2*n - 1240*n**3 - 2578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.286 in -0.4, -8, -3, -1\/6, 11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 1. Let h be u(1). Let x be 1 + (-194 - 6)\/(-4). Suppose h*w - 53 = x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 2\/5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ygegeeey.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 6*j + 9. Let b be y(-5). Find the second derivative of -14*u + b*u + 4*u + u**2 + u wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2434, 2403, 2388, 2395, 2430, 2499, 2608, 2763?\n\"Answer: z**3 + 2*z**2 - 44*z + 2475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 9, -2*x - 10*h + 81 = -15*h. What is the smallest common multiple of x and 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21591, 21606, 21565, 21438, 21195, 20806, 20241, 19470?\nAnswer: 18463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1502*(5 + 559\/(-112)). Let k = 117\/8 + b. What is the common denominator of k and 35\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b - 108 = -54*b. Suppose h - 191 = 2*n, b = -4*n - 0. What are the prime factors of h?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -4 + 22. Let y(m) = 306*m**l - 3 - 2 - 153*m**2 - 151*m**2 - 4*m. Let x = 8 - 4. Determine y(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 21, -2\/3, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105\/2, 5, -359\/3 in descending order.\nAnswer: 5, -105\/2, -359\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 224133403 (base 5) in base 3?\nAnswer: 1220002020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2 + (4 - 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 386278 to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -6, 34.09, 2\/9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1776 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -38. Solve 5*i = 2*q - y, 5*i = -3*q - 18 - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -32*g - 3. Let z be r(-1). Let n = 15 - z. Let q be 7\/n*(-1540)\/1. What is q rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/2)\/(3*32\/(-453840))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558490571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/24)\/(9\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10*a - 55 = 5*a, 0 = p + 2*a - 19. What is the second derivative of -2*c**2 - 1 + 1 + 34*c**2 + p*c wrt c?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wawa when four letters picked without replacement from {r: 1, a: 3, u: 1, d: 5, w: 4}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -17*w**7\/2520 - 11*w**6\/360 - 4*w**5\/15 + 13*w**2. Let q(r) be the third derivative of i(r). Is 25 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*h**3 + 689*h**3 + 42*h**3 + 339*h**3.\nAnswer: 900*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(55) + (4*sqrt(3520) - sqrt(55)))\/(sqrt(11) + sqrt(891) + sqrt(891) + 2*sqrt(891) - sqrt(11))*2 + -4 + -4.\nAnswer: -8 + 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1 + 22 - (-58 + 54)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and 79\/135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4204258 is divided by 3300.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*m - 49 = -3*k, -6*m - 3105*k - 3109*k + 45 = -6211*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 624085 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -48. Factor 12\/5*t**k + 6\/5*t + 0 - 27\/5*t**2.\nAnswer: 3*t*(t - 2)*(4*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.655 + 74.655. Let h = 0.6 - -0.4. Let s = 1.1 - h. Which is the closest to 3? (a) 4 (b) i (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 55 = d - 5*y, -5*d = 138*y - 142*y + 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 0.05 (b) 2 (c) -0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/7))**(-43)*t**8*(t*t\/t**(-6))\/t)**(-35) assuming t is positive.\nAnswer: t**(-955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 23 - -5) + -102 - (0 - 9)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -110*l. Let m(v) = -18*v. What is q(m(w))?\nAnswer: 1980*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220020021 - 0?\nAnswer: -220020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 - 1.85. Let z = 1.949813 - c. What is z rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*15*(-5)\/(-30) + 10801. Is 62\/(-93)*p\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1872812*x**3 + 1872804*x**3 - 5.\nAnswer: -8*x**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12606300 - 11?\nAnswer: -12606311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 117865 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 24\/5 - (5 + (-52)\/10). Suppose 8*g - 3*w + 38 = 3*g, t*w - 5 = 0. Let r = g + 91. What is the greatest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11332*s + 11335*s = 240. Calculate the remainder when 143 is divided by s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 68746605 + 13?\nAnswer: 68746618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -44575840.\nAnswer: -1\/22287920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277617 is divided by 6519?\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 - 2 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 62279632 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-82)\/(-15))\/(15\/(585\/(-52))) and 47\/5340?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3211 is divided by 531?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 25. Let d(u) = -15*u - 5. Let o be d(-4). Let l = 79 - o. List the prime factors of g(l).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34005, 136014, 306035, 544074, 850137, 1224230, 1666359, 2176530?\nAnswer: 2754749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.490173 nanograms to kilograms.\nAnswer: 0.000000000004490173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 8*t**2 + 1 - 2 - 16*t**5 wrt t?\nAnswer: -960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14041 is divided by 222.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*a - 232839 - 192753 = -31679. What is the remainder when a is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 6. Let d be u(4). Solve 0 = -3*n + n - d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 3 - 32 = 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/54*(-12)\/14*2\/2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 3*d + 1. Let i(m) = m**2 - 2*m. Let a(u) = -5*u**2 + 6*u. Let q(h) = a(h) + 4*i(h). Give -3*b(n) + 4*q(n).\nAnswer: 2*n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 117 - (-5 + -1)\/(-3). Suppose -3*n + 325 - l = 0. Suppose 9*r = 4*r + n. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 21731976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.23236 rounded to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1103 = 4*l + 5*h, 11*h = 3*l + 7*h - 804. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -57 (b) -1\/2 (c) 3.4 (d) 2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) 158 (d) -1\/2 (e) -57\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/17856*-31*168.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 + 7*g**2 - 3*g - 1331. Let s(a) = -3*a**2 + 3*a + 665. Let x(b) = -3*d(b) - 7*s(b). Differentiate x(n) with respect to n.\nAnswer: 27*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1397 + -1397. Let u(b) be the first derivative of 0*b**2 + p*b**3 + 4\/5*b**5 + 11 - 9*b + 0*b**4. Find the first derivative of u(s) wrt s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -6*u + 17. Let v be p(2). Suppose 0*x + 2*q - 156 = -3*x, 5*x - 285 = v*q. What is the highest common divisor of 432 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202862707*p**3 + p - 52073387 wrt p.\nAnswer: 1217176242*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 94, 87, 78, 67, 54, 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 take away 0.15833669?\nAnswer: 9.84166331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 4368\/(-820) - -2. Let y = 3\/41 - q. Which is the nearest to 1? (a) -2 (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101 + -99. Let b be (-2)\/(i*2\/(-24)). Let p(w) = -w**3 - w**2 + w + 132. Let h be p(0). What is the highest common divisor of h and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/31, -2\/13, -1.86, 1\/5, 5, -3, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 + 27212*k\/7 - 13220774.\nAnswer: -2*(k - 6893)*(k - 6713)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7365 - 45734 = -32*r + 37471. What is the greatest common divisor of 30 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 2 = -n, i - 1106*n = -1102*n - 47 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/8, 0.16, 5, -0.0473, 0.1 in descending order.\nAnswer: 5, 0.16, 1\/8, 0.1, -0.0473, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 212? (a) -69\/4 (b) 5 (c) 2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 = 28*u + 54*u - 2511 - 2090 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.255 - -0.255. Do x and 16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + k - 2. Let a be g(-5). Let m = -267\/4 + a. Let b be (-2)\/(-5) + 24\/(-10). What is the second biggest value in b, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5166560 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2. Let p = 727 - 724. Let z(r) = r + 1. Let k(x) = -5*x - 3 - x - 6*x - 2*x. Let d(t) = p*z(t) + k(t). Determine d(a(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -397 (base 15) to base 9.\nAnswer: -1107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h - 5. What are the prime factors of i(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131021505 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 622230 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3046 + -0.1046. Let g = 1469655.799879 + -1469658. Let i = m + g. Round i to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 65. Let r(c) = -2*c + 66. Give -4*r(m) + 5*x(m).\nAnswer: -2*m + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 8. Let u(t) = -t**2 + 14*t - 12. Let l be u(c). Let n = l - -23. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u - 2321 + 868 = 53*u + 769 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 4. Let w = h - -1.999936. Round w to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/180 - 11*o**5\/90 - 10*o**4\/9 - 16*o**3\/3 + 100*o**2. Factor x(c).\nAnswer: -2*(c + 3)*(c + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from ipbiiibiezbpvzebb.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1816294*l**4 + 56*l - 4658 wrt l?\nAnswer: 21795528*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**4\/4 + 6*m**3 + 8*m**2 + 95*m - 262. Is a(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1321\/4 + 330. Which is the closest to z? (a) -0.8 (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(6\/(-18)) + -9. Let g(a) = -660*a + 29. Is g(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/4)\/(-1) + -3. What is the highest common divisor of 99 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/9 - 70188*l + 12633040\/9 = 0. Calculate l.\nAnswer: 20, 315826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3470 - f + 7*f**3 - 6330 + f.\nAnswer: 7*f**3 - 9800","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 6 - (27 - (-7 + -3))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 14034163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**7\/63 - b**6\/15 - b**5\/15 + b**4\/9 + b**3\/3 + b**2\/3 - 14*b - 2. Find i, given that j(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 3*w**4\/4 - 23. Determine x so that r(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 61173.63 meters?\nAnswer: 6117363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 35\/(-21))\/((-2)\/(-30))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let z be (-1)\/(-3) - h\/12. Let l(m) = m**3 + 7*m**2 + 13*m + 3. Let y be l(-4). Which is the second biggest value? (a) -3 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = -2*j, -15 = -4*j - 2*q + 1. Suppose -3*p - 8 = -p. Which is the closest to 0.1? (a) j (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhf when three letters picked without replacement from {f: 4, h: 1, k: 8, y: 2}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 6*m + 2*m)*(-4*m**2 - 2*m**2 + 8*m**2) + 2*m**3 - 2*m**3 - m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -595, -1178, -2149, -3508, -5255, -7390, -9913?\n\"Answer: -194*v**2 - v - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.234+-0.0309\nAnswer: 0.2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 18806200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19895, 79571, 179029, 318269, 497291, 716095, 974681?\nAnswer: 1273049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26080012.\nAnswer: 2, 7, 103, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjj when three letters picked without replacement from {k: 3, h: 3, j: 12}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*6\/(-36)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 31 = 5*t - 5*i, 5*i - 15 = 0. Suppose -9 = -t*h + 7*h. Solve 5*y = h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahawahahathahhh. What is prob of sequence ah?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 2430*z**2 - 64199485 - 103988509 + 35327744 - 984150*z.\nAnswer: -2*(z + 405)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08 - 5093324192?\nAnswer: -5093324190.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {j: 2, l: 1, c: 3, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 3*o**2 + 19*o - 36. Let h be z(5). Suppose -4*n + h*n = -4*l + 48, -27 = -3*n - 3*l. Calculate the greatest common divisor of n and 420.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 12. What is the nearest to 0 in -2\/7, 3, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at most as big as -270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmml when four letters picked without replacement from ttqmtmtl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 222*t + 3 - 2 + 724*t)*(-2 - 1 - 4) to g*t + b and give g.\nAnswer: -3514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2664 divided by 12\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -516012 and 0.5.\nAnswer: -516011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 + 23 + 19)*(259*h**2 + 1517*h**2 + 448 - 448).\nAnswer: 152736*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.1, -4\/21 in decreasing order.\nAnswer: 0.1, -4\/21, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679886?\nAnswer: 2, 339943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/2))**48*(x*x**34)\/(((x*x**(-30))\/x)\/x) assuming x is positive.\nAnswer: x**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 2 - 3*m**2 + 1 to h + r*m + k*m**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4 + 4 + sqrt(833) + sqrt(833))**2 - (3 + sqrt(153)\/sqrt(9) + 2)).\nAnswer: 223*sqrt(17) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let p be (-43)\/(-4) + (-3)\/(-12). Let d = p - 17. Suppose 4*c - 11 - 13 = 4*r, 3*c - 2*r - 13 = 0. Let b(a) = -5*a - 2. What is c*b(v) + d*y(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013102 (base 4) to base 2.\nAnswer: -1000111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 2. Let g be c(-2). Suppose g = -5*f + 17 - 2. Suppose -145 = f*j - 8*j. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -719, -42 in decreasing order.\nAnswer: 6, 0, -42, -719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - t**5 + 2*t**5 + (-t**4 + t**3 - t**3)*(-314*t - 263*t - 191*t).\nAnswer: 767*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.052 and -59.\nAnswer: 3.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70729 * -1.\nAnswer: 70729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 52*g - 20. Let c(s) = 5*s**2 + 79*s + 31. What is 7*c(x) + 11*p(x)?\nAnswer: 2*x**2 - 19*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161523 or 807616\/5?\nAnswer: 807616\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*y + 8*y + 20. Which is the third smallest value? (a) -2\/5 (b) y (c) -1\/4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*r - 2*r - 35 = 0, 5*m + 5*r = 50. Suppose 3*j + 19 = m*f, 6*j + 4 = 8*j. Solve 3 + 6 = -4*p + w, 0 = -p + f*w + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -275*(-3)\/(-1)*-1. Find the common denominator of (((-5)\/(-25))\/((-8)\/1180))\/(-10) and (-2)\/(-3) - d\/(-72).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 4 + -3)\/(-1). Let v(i) = -i**2 - 2*i + 110. Let x be v(a). Suppose 2*b = -3*m + 1355, x = b - 4*m - 551. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118447*l**2 - 66521.\nAnswer: 236894*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 39*f**2 + 496*f + 2128. Calculate v(-14).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 2) to base 6.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283 + -528. Let s = 353 + t. What is the smallest common multiple of 9 and s?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 359253\/19 - 18908. Let c = 41\/33 + -10\/11. Is g less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnvt when four letters picked without replacement from tvvtgtgttnt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 51832178 rounded to the nearest 1000000?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-two ninths of a week?\nAnswer: 69440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + -2.7. Let q = u - -8. What is the smallest value in q, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -a + 3. Suppose 31 = a*w + r, -4*r - 16 = -4*w + 2*w. Let o = 13 - w. Put 0, o, -1 in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**3 + a**3 + (34 + 45*a**2 - 34)*(368 - 368 - 10*a).\nAnswer: -449*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 633*p + 6969 = 650*p - 25858. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 892*r**2*w + 193*r**2 - r*w + 2*r + 27*w + 3210 wrt r.\nAnswer: 1784*w + 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 + -200207?\nAnswer: -200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3988265417, 3988265416, 3988265415, 3988265414, 3988265413?\n\"Answer: -s + 3988265418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 5)\/((-2)\/5). Let f(s) = s**3 + 5*s**2 - s - 3. Let t be f(m). Let z(y) = 9*y - 2. What is the remainder when z(t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/37? (a) 2\/5 (b) -360 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12412551 is divided by 1601?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 782\/3, -2.\nAnswer: -3, -2, 782\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.2 and 82.89.\nAnswer: 265.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 1 - 3. Suppose -2*l - 8 = w*v, -v + 2*l = 4*l + 7. Does 3\/7 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2691\/170 - -162175\/10234. What is the common denominator of p and 12\/55?\nAnswer: 16555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101b (base 13) in base 3?\nAnswer: -10001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1258065 + 1440*j - 1258065 - 441*j.\nAnswer: 999*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a + 24. Let x(b) be the first derivative of -b**3\/6 + 4*b**2 - 4*b + 1. Let g(m) be the first derivative of x(m). What is g(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -48916 - -0.17439447?\nAnswer: -48915.82560553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -79.67. Let d = 28.33 - s. Let b be 4\/(-1) + (7 - 4). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + 3*m**2)*(3*m - 3*m + m) + (m - 2*m + 2*m)*(2*m**2 - 3*m**2 + 0*m**2) - 2*m + 2*m + 2*m**3 + 3*m**3 - 2*m**3 + 0*m**3 - 4*m**3 + 4*m**3 + 4*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16595 - 16591. What is the biggest value in 165, i, -2, 1, 3?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 12*z - 67 = -8*z, 2*y - 26 = 2*z. Solve 11*l - 3*f = 8*l + y, 14 = 2*l - 4*f for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11954.\nAnswer: 2, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75111 (base 8) to base 2.\nAnswer: -111101001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(64)\/((1*sqrt(200) - sqrt(200)) + sqrt(8) + sqrt(8)))\/((sqrt(48) - sqrt(192)*2)\/sqrt(3)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 133.6 and 0.017717598?\nAnswer: 133.582282402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/(-4))\/(30\/12). Let b be 2\/5 + (-32)\/(-20). Let w = -9.848 - -4.948. Sort w, h, b, 0.2 in descending order.\nAnswer: b, 0.2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4))\/((-6)\/48). Suppose -5 = -0*o - o. Suppose 3*q + 5*g + 5 = 0, n*g + 0*g + 41 = o*q. Solve -q*p - 8 - 7 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (3 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6825959\/360 + 18961. Let g(h) be the third derivative of -1\/48*h**4 - 1\/18*h**3 + 8*h**2 - y*h**5 + 0*h + 0. Suppose g(s) = 0. What is s?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41.8 - 0.002537971111\nAnswer: 41.797462028889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 5*h**3 - 2*h**3 + (-2*h**2 - h**2 + 2*h**2)*(2*h - 2*h - 2*h) + 3*h**3 + 3*h - 3*h - 110*h**2 + 3*h**3 + 110*h**2.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p + 4*h, 0 - 7 = -p - h. Let y(g) = 3*g - 1. What is y(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -5, 36, -2\/19, -65278?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531383*i**2 - 1249115*i?\nAnswer: 1062766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/((s\/(s*s*s\/(s\/(s*s**(-2\/7)))))\/s))\/s)*s)**(17\/4))**(1\/16)*((s**(-8)*s)\/(s*s\/(s\/(s*s**(-9)*s))))**(-26) assuming s is positive.\nAnswer: s**(11563\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/6)\/(2\/(-30)). Let r = 7 - 1. Suppose -y - j = -r*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: Does 166 divide 609386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -18. List the prime factors of w\/7 + -6 - -4*21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 9*b - 225031394*b**3 + 0*b + 225031397*b**3.\nAnswer: 3*b**3 + 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 12.\nAnswer: -1, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:25 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/153 in 1, -4, 0.119?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*j = 20, -t - 2*t - 5998*j + 6002*j = -68 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 1}. Give prob of picking 2 y.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 43*a**4\/24 - 21*a**2\/2 + 53*a. Let l(j) be the first derivative of d(j). Let t(m) = -2*m**2. Calculate t(l(x)).\nAnswer: -3698*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -225*w + 251*w - 775268. What are the prime factors of w?\nAnswer: 2, 17, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11568, 15403, 19238, 23073, 26908?\nAnswer: 30743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*h = 6, -4*c + 10*h - 12*h - 6 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178 - 162. Let f = 2 - -59. Calculate the remainder when f is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/((-2)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*j + 335, -4*j = 2*l - 391 + 65. Suppose -j*p = -77*p. Solve p = -4*w + 4 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1181.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 353 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135425985*s + 135425985*s - s**2 - s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43046*d + 21500*d = -21309*d + 17064 for d.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)*(-2)\/(9 + -5). Let g be (-1)\/(o - (1 - 1)). Are g and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20354331 + -6?\nAnswer: -20354340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -111\/4181069?\nAnswer: -111\/4181069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3191644 * 114\nAnswer: 363847416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.522 - -0.522. Sort -0.1, -4, w, -1.2 in increasing order.\nAnswer: w, -4, -1.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 - 0.53?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -415 + 419. Solve -11 + 3 = z*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222ea (base 15) to base 2\nAnswer: 11010011111011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 35 = 11. Let p = 4 - b. Suppose -12 = -5*j + 6*j - 3*r, -5*j + 16 = 4*r. Sort j, -3, p in decreasing order.\nAnswer: p, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-13433.\nAnswer: 13433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 136639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 26*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/8309 and 59\/21547611.\nAnswer: 150833277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 728*y - 395*y - 666. Factor 2\/3*p - 1 + 1\/3*p**y.\nAnswer: (p - 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/45)*j)\/j*j**26)\/((j**(-8)*j)\/j*j\/(j**11\/j*j)) assuming j is positive.\nAnswer: j**(1981\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*p + 1, 0 = 7*p - 2*p + s - 43. Let b be (48\/16)\/(6\/p). Suppose -74 = -3*q + 2*q + i, 0 = b*i - 8. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.435653l in millilitres?\nAnswer: 4435.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 4100000. Let u be z(0). Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*s - 14, s - 6560 + 6527 = 41*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/6 + 7*l**2\/2 - 3*l. Let d be s(5). Solve -d*i - 3 = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:55 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*c**3 + 3*c**3 + 85*c**3 + 39*c**3 + 133*c**3.\nAnswer: 337*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.981529833 + -11978.\nAnswer: -11977.018470167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-2 - -14) + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111011100000011 + -100?\nAnswer: 10110111011011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -1791.\nAnswer: -1791, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f. Let t(i) = -82*i + 82*i + 4*i**2. Give t(g(s)).\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 - 4*s + 2. Let b be z(-4). Let i(v) = v - 6. Let n be i(5). Let y(j) = j**2 + j. Let q be y(n). Solve b = -c - q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -17, 12, 51, 100?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10 + -1)*5. Let i be s - (1 - 2 - 2). List the prime factors of i + (2 - 0)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.145 - 1.133. What is the third smallest value in s, -3, 2\/5, 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(5*i**2 + 2*i**2 - 6*i**2) + 2*i**2 - 2*i**2 - i**2 + 0*i**2 - 3*i**2 + 10*i**2 - i**2 - 2 + 2 + (-3*i + 3*i + 2*i)*(-2*i + 3*i + i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.05671638502 - -12872\nAnswer: 12871.94328361498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 57 = -3*d, -5*a + 1097 = 5*d + 952 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 3. Let h(f) = -3*f - 5. Let k = -163 - -169. Give k*h(x) - 10*b(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2615 - -2617.6655. Let o = m - 2.58. Let u = o - 0.08. Round u to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 4*o + 945. Let g = 231 + o. Calculate the highest common factor of g and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -5 + -16 + 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2 - 4 + 2*y + (-3*y + 5*y + 0*y)*(0 - 1 - 1) - 3*y - 3*y - 2*y.\nAnswer: -10*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -z + 94399997, -2*z + 1 = 7. Round d to the nearest one million.\nAnswer: 94000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5715426?\nAnswer: 2, 3, 739, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*i + 2)*(-3 - 2 - 3) - 4 - 2*i + 4 + 1 + 2*i - 1 + (-4 + 2 + 0)*(5*i + 2*i - 5*i).\nAnswer: -36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5838 divided by -45.\nAnswer: 1946\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-1 + -1) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**3\/2 + 25*w**2\/2 - 36*w. What is the lowest common multiple of c(-5) and 38?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 20 = 16. Solve 0 = -s - 0 - q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -29. Suppose 0*g + 3 = 3*g. Let u = 9 - g. Calculate the remainder when x is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 42086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2\/5 (c) 703.44 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/2*2759\/7120*10?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 21*k - 16*k - 5*k**3 - 5 + 5*k**2 + k**2.\nAnswer: -5*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6465)\/675 - (110\/90 + -1))\/((-9)\/(-45)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/28493?\nAnswer: -2\/28493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6*5\/30)\/(1\/(-11)). Let n be 1\/3 + (g - 84684\/9). What is n rounded to the nearest 100?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 73513 + -318?\nAnswer: 73184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 3. Let s be p(4). Let g = 2 - s. Solve 13 = 4*x + g*l, x - 2*l + 6 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5 + 2 + sqrt(468) + 0 - (-1 + sqrt(468) + (sqrt(468) + 0 + sqrt(468) + 0 - sqrt(468))))**2 + 5 + 1).\nAnswer: -480*sqrt(13) + 2690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 6*w + 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1050 divided by -208\nAnswer: -525\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 1. Suppose 0 = 4*q - 5*p + 1, -3*q - 3*p = -3 - 3. Suppose -x + q = -9. Let d(n) = n - 5. Let k be d(x). Give o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + c**2 + 32 - 9 + 41.\nAnswer: c**2 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 15*a**2 - 27*a - 9. Give h(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*(sqrt(66) + sqrt(66) + sqrt(66) + (sqrt(66) - sqrt(66)*2 - sqrt(66)) + sqrt(66)))\/((sqrt(726) - sqrt(726)*-1 - sqrt(6))*3).\nAnswer: -20*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 1119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 2 - p + 1 + 6*p**2 + 0. Let b(m) = -13*m**2 + 9*m + 2. Let w be 33\/((-330)\/(-4)) - 94\/10. Determine w*v(a) - 4*b(a).\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -902036787706 and 0.006?\nAnswer: 902036787706.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70765\/1371528 + 23\/443. Let v = 19543\/1548 + a. What is the common denominator of v and -11\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 66 - (-8 + -2) - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143452.\nAnswer: 2, 179, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*u = -x - 136 + 128, -20*u = -x - 7*u - 72 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 + 1 + 13 + -12. Suppose -s*l + 1804 = -7*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5 = -n, 7*d - 3*d = 5*n + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**4\/((v\/v**(-1))\/v))**(-2\/129))**(-19))**(-3) assuming v is positive.\nAnswer: v**(-114\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 758, 2, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41584, -166380, -374400, -665650, -1040136, -1497864, -2038840, -2663070?\n\"Answer: -z**3 - 41606*z**2 + 29*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150569, -150725, -151007, -151433, -152021, -152789?\n\"Answer: -3*d**3 - 45*d**2 - 150521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 2. Let p be m(-5). Suppose -13 = -p*t + 8. Suppose 0 = 5*d + 3*b - 753, 5*b = t*d - 4*d + 155. Round d to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*n - 2*z, 3*z - 82 + 69 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25427\/270 + -2540\/27. Solve -169\/10 + 5\/2*y**2 + r*y**3 + 143\/10*y = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 153 + -6d7?\nAnswer: -584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**8\/1680 + p**7\/525 - p**6\/120 - p**5\/30 + p**4\/30 + 4*p**3\/15 - p**2 - 125. Suppose u(z) = 0. Calculate z.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzhzljuhulj. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.87 - -0.13. Suppose 5*m = -10 - 15. Which is the second biggest value? (a) -2\/9 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2663, 5277, 7697, 9923, 11955?\nAnswer: 13793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -12, 4, 225 in descending order.\nAnswer: 225, 5, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.3, 5\/7, 4\/5, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)*c)**(-5\/12)*(c\/c**1)**(-41))\/(c**(-5)\/c**(-2\/9))**36 assuming c is positive.\nAnswer: c**172","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5)**48*o*(((o*o*o*o**(6\/5)\/o)\/o*o)\/o*o)\/o*o*o**(-3\/10)*o)**10 assuming o is positive.\nAnswer: o**2449","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 1216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 817 + 2725 = m, 4*m - 14168 = -4*g. Let k = 43342 - m. Round k to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 18*x**2 + 29. Let g(o) = -91*o**2 - 2*o - 147. Let h(r) = 2*g(r) + 11*q(r). Let i(z) = -3*z**2 + z - 5. Give -2*h(t) - 11*i(t).\nAnswer: t**2 - 3*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8618744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -4, 2\/29, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10609450430 rounded to the nearest one million?\nAnswer: -10609000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206.2 + 206.199997422. Round v to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*y**4 - 1234*y**3 + 537106*y?\nAnswer: 2496*y**2 - 7404*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -862948382476\nAnswer: 862948382476.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:25 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*q = -35*q + 444. Let f = q + -109. Sort 4, 0, f, -2 in ascending order.\nAnswer: -2, 0, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:36 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -0.01 (c) 10106 (d) 0 (e) 4 (f) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 p when three letters picked without replacement from {p: 2, q: 1, r: 3, j: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + (-19 + 49 + -37 - 34).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 1. Let k be z(-1). Let v = 218 + -216. Let m be k\/v - (-2)\/4. Solve 4 = m*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + 0*f**3 + 0*f**3 + (78*f - 18*f**2 + 21*f**2 - 22*f)*(-3*f + 5*f - f) in the form g*f**2 + n + m*f + x*f**3 and give g.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 2, f: 1, q: 7, o: 2, e: 1}. What is prob of picking 1 q and 1 o?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 + 336*x + 7056 = 0?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -230 in descending order.\nAnswer: -4, -5, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4a972 (base 12) to base 10\nAnswer: -101606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrfrfrfrrrff. What is prob of picking 4 r?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*w**2 - 21*w**2 - 2 - 14*w**2 + (-6*w + 3*w + 2*w)*(-36*w - 107*w - 30*w).\nAnswer: 174*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26499166 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15945 + 13383. What is the highest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2686, 2677, 2668?\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27.97 + 28. Let p = a - 0.03026. Round p to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417158646 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from {k: 6, a: 4, l: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4 - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -495, -323, 0, 1 in ascending order.\nAnswer: -495, -323, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11110 (base 3) in base 7?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 174*c**2 - 7*c - 14. Let t(l) = 18*l**2 - l. Calculate d(v) - 6*t(v).\nAnswer: 66*v**2 - v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avbbcvqzvzzc. Give prob of sequence ca.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -4443313?\nAnswer: 4443304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atpupa. What is prob of picking 1 p and 1 a?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -95, -188, -335, -554, -863, -1280?\nAnswer: -1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121304 + 14?\nAnswer: -121250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h**2 + 7*h - 1. Let a be d(-5). Let v = a + -257. Calculate the remainder when 26 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18043869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let p(s) = -3*s - 4. Let z be (-1*(-11)\/1)\/1. Let x(o) = z*y(o) - 4*p(o). Suppose -6*u = -u. Determine x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 41, 114, 219, 356, 525, 726?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3385 bigger than 4\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234 a factor of 9371318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/3, -6, -74.6?\nAnswer: -74.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9726.6 at most as big as 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 23284064843?\nAnswer: 23284064848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2 - 3*w + 43. What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/(q*q*(q\/q**(2\/15))\/q)*q\/q**5)\/(q*q*(q\/(q**(-5)*q*q))\/q*q**5\/q)*(q**0)**(-46)*(q*q**(-2))\/(q\/q**(-6)) assuming q is positive.\nAnswer: q**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608 a factor of 691481808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/(-2)) + 7. Suppose 4*l = 3*g - 25, -4 = g - 5*l + k. Suppose 0*v - g = -3*v. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185480.\nAnswer: 2, 5, 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/45 - -1\/9. Let o be 2 - (3 + 5 - 2) - 110\/(-25). Solve -n*q**2 + 3\/5*q - o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2246, -3643, -7432, -14807, -26962, -45091, -70388?\nAnswer: -104047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l + 14. Let d(k) = k + 3. Suppose 0 = 4*m - 3*f - 3, 6 + 25 = -2*m - 5*f. What is m*r(p) + 14*d(p)?\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801713.\nAnswer: 11, 72883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6 - -1.43974.\nAnswer: 3.03974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12999*j - 9462 = 302514 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 55*p - 4560. Let o be f(83). Solve -10 = o*w, 2*w - 3 = -3*b - 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-168)\/(-35) + (-1)\/(-5). Solve 0*b + 2*u = -3*b - 9, -4*b = -h*u + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07739 and 63.\nAnswer: 4.87557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-20 - 8 - -10) - (-49 - (2 + -2)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/127)\/w*w**(-18\/13)*(w\/w**(14\/5))\/w**(-35))**8 assuming w is positive.\nAnswer: w**(2034008\/8255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*((2*p + 2*p - p)*(-106 - 48 + 51) + p - 4 + 4).\nAnswer: 924*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 730817\/4195282 + -1\/23569. Calculate the common denominator of q and 29\/18.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 - r + 19. Let j be n(-10). Suppose 4*q + 141 = j. Calculate the remainder when q is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/(-2)*30\/(-660) and 47\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10094303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 128128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15744*z**3 + 321*z - 8.\nAnswer: 94464*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*l + 47039, 3 = -3*x + 15. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 83*j**2 - 374*j + 97. Give g(5).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 1 = 7*w + 12, 3*w = 2*o - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (-91 + 26) - -68?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/66 and 25\/13566.\nAnswer: 149226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7282137 divided by -4\nAnswer: -7282137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2*v**3\/3 + v**2 - 4*v + 3. Let x be m(3). Let j be 81996\/x - 1\/(-5). What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 8*n - 9. Let c be z(-11). Calculate the greatest common factor of 192 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 18. Suppose 2*h = u*h. Suppose h = 2*s - 3*s + 4. Solve 6 + s = -5*n - 5*g, -2*g = 3*n + 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.4 + -3. Suppose -p - 5 + 10 = 0. Which is the second smallest value? (a) -2\/5 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-33)\/5)\/(69\/15)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/6 + 38*v**2\/3 + 31118*v\/3 + 426832\/3 = 0?\nAnswer: -206, -14, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001 + 10010111110010110?\nAnswer: 10011000010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 1657050?\nAnswer: 1657060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 2*c - 2*c + (3*c - c**2 - 3*c)*(0*c + 0*c - c) + 9582710*c - 9582710*c + 3472*c**3 in the form n*c + x*c**3 + m + k*c**2 and give x.\nAnswer: 3475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*f = -393151 + 430887 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1083 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14666290*s**3 + 7999607*s**2?\nAnswer: -87997740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11007*n**5 - 3409*n**2 + 10*n wrt n.\nAnswer: 660420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108 times -3880?\nAnswer: -419.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 164 + k - 82 - 80)*(-2*k**3 + 1 - 1).\nAnswer: 8*k**5 - 2*k**4 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 - 5*c**2 + 3*c - 5. Let n be (-4)\/(-3)*(-18)\/12 + -5. Let x(q) = -q**2 - 7*q**2 + 4*q + q**2 - 7 + 4*q**3. Give n*h(g) + 5*x(g).\nAnswer: -g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22801 divided by -5?\nAnswer: 22801\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a - 14*a**2 + 67*a - 31*a.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38392, -119340, -254252, -443128?\nAnswer: -685968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16975*q + 16979*q - 300156 = 0. What are the prime factors of q?\nAnswer: 3, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = 3*u + 9, -4*k - 2*u = 14. Let f be -1 - -3 - k - (-13 + 22). Put f, -4, -0.2 in decreasing order.\nAnswer: -0.2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 5. Let g be c(-4). Let l = g - -7. Solve 3*t - l = -3*i, -13 = -5*t + 4*i - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40505, -80992, -121479, -161966, -202453, -242940?\nAnswer: -283427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -17. Suppose -n + 5 = -s. Solve -3*i - 3*v = 2*i + n, -9 = 5*i + 2*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 8*d)*(3*d**2 - 128*d**2 + 281*d**2)*(-4*d - d + 12*d).\nAnswer: -8736*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 867593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/5 - 6*j**3 - 52*j**2\/5.\nAnswer: -2*j**2*(j + 2)*(j + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -735.47 - -144.77. Let r = o - -628. Round r to the nearest integer.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.23651, 0.04, 61?\nAnswer: 0.23651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 77 in -17\/10, -0.6, -0.2, -1\/6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 30 = -3*k, 0*k - 3*k = u - 6. Suppose 0 = 8*l - u*l - 4. Solve -3*v - 10 = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462115 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 216811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2258 rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 10 = 3*g, -2*m + 8 + 16 = 5*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/29926601 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fsfb. What is prob of sequence fsb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7089 and 319005.\nAnswer: 319005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1476140 (base 8) to base 10\nAnswer: 425056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from uzozuuuhhh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 542.6034 less than 782462?\nAnswer: 781919.3966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (11 - ((-8835)\/(-210) + -9)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 11*t - 16*t - 9*t.\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2 + 10379116*a + 13465756117682 = 0.\nAnswer: -2594779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.031? (a) -2 (b) 1 (c) 33\/10 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 7*j**2 + 2*j - 6. Suppose -3 = -3*r + 15. Give y(r).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 7 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -347, -342, -333, -320, -303, -282?\n\"Answer: 2*k**2 - k - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*w - 2*y = 104*w - 16, 0 = -5*w - 3*y - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-81))\/((-1)\/18)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u - 1. Suppose -v = -7 + 2. Let z be ((-3)\/v)\/(8\/40). Give f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = -4*q - 66, -4*q + 24 = -4*k. Let y be k\/(-4)*(2 - (-102)\/(-45)). Which is the second smallest value? (a) 0.3 (b) 1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + 2*f**2 - 3*f**2 + (2 - 2 + f)*(4 - 4 - f) + f**2 - 2*f**2 + 0*f**2 to the form l + n*f**2 + d*f and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*u - 5*u - 42 = 0, 5*m = -5*u - 50. Let v = m + 10. Let f(b) = b**3 + b**2 - 5*b + 4. Let l be f(-3). Put v, l, -2 in descending order.\nAnswer: v, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (-197 + (-65 - -128) - -32).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 5 (c) -3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 129 in -8.7, -10, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4 - 3*n - n + 26. Let a be x(7). Suppose -4*c + 338 = -a*j, 5*c = j - 3*j + 445. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-242)\/(-847)*(49\/2 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376205787 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127069091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**2 - 42*b**2 - 248*b**2 + 21.\nAnswer: -316*b**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + sqrt(1584))*1*-1.\nAnswer: -9 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + -12552?\nAnswer: -13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1681110 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 33*c**2 - 20*c**2 + 153*c**2 + 156*c**2 - 37*c**2)*(-6 + 2 - 1).\nAnswer: -1425*c**2 + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-53 - -77)\/(2 - 1). Solve 24 + x = -12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59616 * -0.4.\nAnswer: -23846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1575) - sqrt(1575) - (1 + sqrt(567) + sqrt(567))**2 - (4*-5*(sqrt(7) + (sqrt(63))**2) + 1))*3*-2.\nAnswer: 276*sqrt(7) + 6060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30293*c**3 + c**2 + 6793 wrt c?\nAnswer: -90879*c**2 + 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404439 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3)\/12)*90\/75*-5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flfynlz. Give prob of picking 2 l, 1 z, and 1 f.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000499 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*g = 329*g - 13*l - 62, -l = 4*g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(192) - sqrt(3))**2 + (-1 + -1*sqrt(3)*2)**2.\nAnswer: -4037 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**5\/5 + k**4\/3 - 4*k**3\/3 + 28*k. Factor i(m).\nAnswer: 4*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbbbbl. Give prob of sequence lbl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1440542*0.25.\nAnswer: -360135.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(36) + sqrt(2304)*1)\/((sqrt(108) - -2*sqrt(108))\/sqrt(12) + sqrt(9)))\/((1*sqrt(300))\/(sqrt(96)*2)).\nAnswer: -54*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*o - 142 - 121*o - 62*o + 142.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:13 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + 3*y + 0*y)*(5*y - 10*y + 12*y) + (7*y - y + 6*y)*(0 + 3 + 2*y - 1) to d + u*y + g*y**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 1. Let y(l) be the third derivative of -l**4\/8 - 2*l**2 - 75*l. Give -2*o(x) - y(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 5*o - 7, -71*i = -67*i + o - 14. Suppose 3*d = d + 18. Let r = d - 6. Solve 4*z + 4*y - r*y = 0, 2*y - i = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + 8. Let b = 41.9 + -16. Let d = b - j. Sort -0.2, 0.5, d in decreasing order.\nAnswer: 0.5, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/8*8864\/(-5817)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.014 - -0.014. Which is the nearest to w? (a) -0.2 (b) -2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 14*h + 13. Let n be i(9). Suppose -5*y = -3*u + n, 4*u - 2*y = 72 - 2. Suppose 0 = -5*w + u + 2. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 83 - 64 = 0 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/(-1))\/5)\/(3112\/5446).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84736243 and -0.3.\nAnswer: -25420872.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244819893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 1513.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 876 = -3*a + 2462, 1046 = 2*a - 5*o. What is the least common multiple of 144 and a?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 231*h - 229. Let n be j(76). Which is the nearest to -1\/5? (a) -0.2 (b) -39 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 24334 - 24217. Let h(u) be the first derivative of f + 3*u**5 - 51\/4*u**4 + 0*u + 16*u**3 - 6*u**2. Solve h(v) = 0 for v.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 114*i**2 - 61*i - 485. Calculate q(-7).\nAnswer: 5528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 5*p. Suppose -5*r = -2*a - 0*r - 7, a = r - 2. Sort p, -5, a.\nAnswer: -5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pikp. What is prob of sequence ki?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 5. Let b(n) = -n + 2. Suppose 4*p + 5 = l, l + 15 = 4*l. Suppose p = -i + 9*i - 48. What is i*o(s) - 15*b(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1726 (b) -0.4 (c) -939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**3\/13 - 4276338*t**2\/13 + 65370092*t\/13 - 18328080\/13 = 0.\nAnswer: -305468, 2\/7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 8 + 2. Suppose c*f + 0*f + 5*t - 60 = 0, -5*t = 3*f - 40. Suppose 15*o - f = 10*o. Solve 4*a + 3*w - o + 5 = 0, 5*a - 5*w + 30 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -932488, -932473, -932426, -932329, -932164?\nAnswer: -931913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 17.2. Let r = -224.7 - -226. Let i = r - l. What is i rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5119?\nAnswer: 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.0145055.\nAnswer: -0.029011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-7 - (2 - (5 - -2))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 681 - 248. Let w be (-16 + n)\/((-1)\/15). What is the tens digit of (-2)\/11 - w\/99?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 5*o = -12, -4*y + 12 = -5*o. Let r be 5\/12 - 2\/y. Which is the biggest value? (a) r (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4170*z + 10. Let r be x(3). Round r to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855 - 942 = -115*y - 612 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -291, -644, -917, -852, -191, 1324, 3951?\n\"Answer: 43*u**3 - 218*u**2 - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44773609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = 0, -2*b + 3 + 42 = 3*c. What is the lowest common multiple of b and (-7)\/(-8)*-2*-8?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p**3 - 21*p**2 + 27*p + 27. Let m(o) = 5*o**3 - 10*o**2 + 13*o + 13. Let v(l) = -13*m(l) + 6*z(l). Let x be v(-5). Is (-804)\/(-9) + x\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327 - -474. What is the highest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1246056 and 8736?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312093737 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30425 + -23898. Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -2*j - 40. Suppose 5*p - 4*d - 33 = 0, 27 = j*p - 3*p - d. Calculate the remainder when 10 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 k when three letters picked without replacement from nnkkkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001122 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/6 + 2*z**3\/3 - 9*z + 5. Determine n(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 - 10*v - 3. What is y(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 146?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnm when three letters picked without replacement from zaamzamznzzzfaznaf.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-558)\/(-30) + 2\/5. Calculate the highest common divisor of r and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-68))\/((-1020)\/14450)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.1. Let l = 180 - 182. Let q be (2\/(-12))\/(4\/(-16)). What is the nearest to 1 in m, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7858 at most as big as -597203\/76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -736 - -1045. What are the prime factors of m?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 0) + -29 - (-1 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p**2 + 2*p - 1. Let t(x) = -3*x**3 + 6*x**2 - 21*x + 1. Give 2*n(z) + t(z).\nAnswer: -3*z**3 - 17*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/33)*i*i**24*i)\/((i*i**(-18))\/i)**(-47))**13 assuming i is positive.\nAnswer: i**(-351793\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(3\/4)*m*m**(3\/7)*(m\/m**3)\/m*m*m*m\/(m**(3\/7)*m)*(m*m**(2\/9)*m**7)\/(m**3*m*m**(-2\/11)*m*m) assuming m is positive.\nAnswer: m**(1645\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**3\/2 + 2*x. Let g(z) = -z + 1. Let a be g(0). What is q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 10358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03988266 rounded to two decimal places?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 11*y - 4. Let q be v(8). Let s be -6*(-5 + q\/8). Let w be ((-10)\/s + 0)*(-3)\/(-22). Which is the smallest value? (a) -0.4 (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7956734*n + 1967615?\nAnswer: 7956734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913604267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 - 22*g + 9. Let u be d(9). Let i = 9 - -14. Let t = u + i. Put 6, 2, t in decreasing order.\nAnswer: 6, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3 - k + 2*k + 3 + 1. Let x be n(-1). Suppose 8*v - 5*v - 132 = x. Calculate the remainder when v is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/11 - 238608*c\/11 - 954464\/11 = 0. What is c?\nAnswer: -4, 119308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc + -2c?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**5 - 5748*q**4 - 2653935*q**3 + 95093286*q**2 - 909604800*q + 1460160000 = 0.\nAnswer: -975, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -638 + 0.5.\nAnswer: -637.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 111649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4 + (2 - 2). Let w be 7\/14*0 - (-4)\/22. What is the biggest value in 2, w, -3, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -242 - -245.015. Let w = -3 + u. Let x = w - 0.072. Round x to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 (base 4) in base 13?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1012 + -1011.9. Let l = 28 - 29. Sort -18, l, d in ascending order.\nAnswer: -18, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6941 + -6908. Let t(p) be the third derivative of 0*p**3 + 0*p + 1\/24*p**4 + 0 - l*p**2. Let a(y) = 27*y**2. What is t(a(u))?\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -55, -252, -591, -1072, -1695?\n\"Answer: -71*c**2 + 16*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/4*11224\/9821?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -338. Let d = u - 328.9999905. What is d rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q + 12. Calculate b(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and (-460)\/72 + (-12)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-14)\/(-315)*-2*(-20)\/688.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -416 divided by 16\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4500.3 + -4732. Let f = k + 251. Let j = f + -19. What is the biggest value in 4\/7, 0, j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14\/5)\/(12\/90). Suppose n*h - 612 = 9*h. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568379772.\nAnswer: 2, 59, 6645677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*k**3 + 65*k**3 - 180*k**3 - 267*k**3.\nAnswer: -441*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1317773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20 + 0 + (-6 - -4). Let v be (30\/(-9))\/((-3)\/(x\/4)). Suppose r = -4*p - 22, -4*p = v*r - 0*r + 30. Put -0.06, p, -4, 0.3 in decreasing order.\nAnswer: 0.3, -0.06, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*u - 0*u - 76 - 54 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/23, -9, -8\/9, 0, 5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43309 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/(167\/(459250\/(-66)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7441 is divided by 893?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (2 - 16))*15\/(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/30 and 6 + (9877\/84)\/(-17)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Let c be 55\/22*(-6)\/(-5). Suppose d*n - 5 = 0, 4*j - 13 = -2*n - c. What is the highest common divisor of 22 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110 divided by -222\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20506 - 6428. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/3 + 52*n**3\/3 - 14*n**2 - 208*n\/3 + 200\/3 = 0.\nAnswer: -2, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1207\/1374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6847 divided by -4\nAnswer: 6847\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32, 29, 26, 23?\n\"Answer: -3*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkivsikszisknskk. Give prob of picking 1 i and 1 z.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -32695, 3 in decreasing order.\nAnswer: 3, -5, -32695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3 and 73\/3273.\nAnswer: 3273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 85*c**2 + 344*c - 7. Calculate b(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 7. Let y = 0 - -8. Let i be r(y). Solve -3*c - 2 = 5*g - 26, -i = -5*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*n + 73*n - 4271 - 3060 - 1577 = 0 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 7*q**5\/60 + q**2\/2 + 1. Let b(v) be the second derivative of p(v). Let z(f) = 2819 - 2819 + f**2. Determine b(z(o)).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33.04789714347 and 2.\nAnswer: 35.04789714347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11153 - -1045?\nAnswer: 12231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -x + 3 + 3, -2*x = -5*q - 12. Suppose -u + 3*u = 4*s - x, -2*s + 2*u = 0. Solve -s*o = -8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wad when three letters picked without replacement from {a: 3, d: 1, n: 1, w: 9}?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/8)\/(-7))\/((-6)\/(-72))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3492907704?\nAnswer: 2, 3, 11, 13, 113083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 165, 161, 155, 147?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46270327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(-2 + -1 + sqrt(847))**2.\nAnswer: -198*sqrt(7) + 2571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.07164 to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let o(t) = 2*t - 10. Let y(h) = 5*m(h) + o(h). Let r be y(3). Which is the closest to r? (a) 0.2 (b) 1\/8 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:49 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3256637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24024096 + 22.088.\nAnswer: -24024073.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 7*q + 1. Let u be p(5). Let y be 5\/u*24\/(-30). Suppose -y*w + 2\/7*w**2 - 4\/7 = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(2 + -341)\/3. Let q = c - -270. Let o = q - -1636\/9. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34070 greater than or equal to 33606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwn when three letters picked without replacement from {w: 5, r: 1, s: 1, z: 9, n: 1}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - 2*r - 4 = 0, 0 = m - 2*r. Is ((-2)\/m)\/((-2)\/(-118)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3708926?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -6, 7, 1\/4, 1 in decreasing order.\nAnswer: 9, 7, 1, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 333*p**5\/10 + 943*p**4\/24 - p**3\/6 + 1401*p**2. Find the second derivative of h(s) wrt s.\nAnswer: 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and 7.6?\nAnswer: 7.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -246 - -246. What is the nearest to 1 in -12, 0.4, i, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -25. Suppose 4*a + 20 = 0, -3*a - a = -j*y + 285. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-54)\/(-24))\/(6\/272). Let z = 168 - l. What is the common denominator of 2\/60*z\/4*11 and 51\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**5\/60 + v**4\/4 + v**3 - 11*v**2. Let r be d(-6). Which is smaller: 13\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 2*i**2 - 2*i**2)*(2*i + i - i) + 10 - 10 + 2*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136483394.\nAnswer: 2, 47, 1009, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7595.22 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.33 and -0.19831.\nAnswer: 0.2637523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -1. Let k(r) = r**2 - 2*r - 3. Let y be k(3). Let w = y - -14. Solve -3*m = x - w, x + 4*m = 20 - v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {n: 1, m: 9, s: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1129868, -2259728, -3389582, -4519430, -5649272?\n\"Answer: 3*w**2 - 1129869*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 3. Let y be b(-1). Solve -3*j + 6 = 4*i, 3*i = -y*j + 8 - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 200297729 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 790822 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5507100 divided by 4?\nAnswer: 1376775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - a38?\nAnswer: -a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p + 3*p**3 + 6*p**2 - 5*p - 2*p - 2*p**3 - 1. Let a be u(-5). Let k(l) = l**3 - 3*l**2 - 3*l + 3. Calculate k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 6 = 10*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 766 + -771. What is the remainder when 55 is divided by v + -1 + (-4 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and (5 + 54\/(-12))*220?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u. Let p(d) = d**3 + 4*d**2 + 6*d + 1. Let t(k) = 2*g(k) - p(k). Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 234. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -14*z - 741. Let c be o(-53). Let d(a) = 0*a - 2 + a**2 + 2*a + 20*a**2. What is the remainder when d(c) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 197 = 4*l. Let o be (-6)\/(-21) - l\/(-14). Let r = -3 + o. Solve 12 = -u - r*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.38338*-2.3\nAnswer: -0.881774","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z - 39. Let j be v(8). Let o(q) = 25*q**2 - q - 21. Let s(h) = -5*h**2 + 4. Let a(t) = 2*o(t) + 11*s(t). Determine a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 39 = 6*n - q, 5*n + 4*q - 33 = 0. Suppose -2*o + 43 = -n. Calculate the remainder when (-2 - 0) + 3 + -485 + 582 is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 7 = 2*m + 7*m + 9, -46*m = -41*m - 2*a - 46 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = -2*w, -12 = 4*w. Let l be 0\/((-1)\/o*3). Let t be 1\/(l + 4\/88). What is t rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12851604 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 8:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1253 is divided by 21\/(-14) - (-9444)\/24?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 14. Let o = -3 - u. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489951, 979953, 1469955?\nAnswer: 1959957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2*v + 2*v. Let t be (5376\/(-49) + v)\/((-2)\/(-14)). Round t to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k + 38*k + 130 - 325 + 44*k + 158.\nAnswer: 70*k - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/9 - 290216*l**2\/9 + 89101936*l\/9 - 2284514848\/3.\nAnswer: 4*(l - 72246)*(l - 154)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13749 - 376*r**3 + 13749 - 2*r**3 + r**3 - r**3 + (-3*r + 2*r + 0*r)*(r - r + r**2) + (r - 1 + 1)*(2*r**2 + 2*r - 2*r).\nAnswer: -377*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4027342.44 + 4027339.39000151. Let m = 2.965 - -0.085. Let l = m + x. What is l rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209.6 * 4\nAnswer: -838.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143.5188 times -0.17?\nAnswer: 194.398196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**12*h)\/h**(-4)*(h*h\/(h\/(h*h\/(h*h*h*h\/h**(-4\/9)*h)*h*h)))\/h**(5\/3) assuming h is positive.\nAnswer: h**(152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s + 12. Let g be (-2)\/(-7) - s\/(-28). Let k = -0.6 + -0.4. What is the nearest to k in g, -3\/4, 0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 26. Solve 0 = -0*s - 5*s + u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/3, 0.7, -5, -0.2, 2\/9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 4) + (-2 + -1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p - 1 + 1. Let f(i) = 7*i. Let j be (-2)\/(-1) - (-2 + 2). Suppose z - 5 = j*z. Give z*c(x) - 3*f(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 3. Suppose -5*o - 6 = 2*j - o, -j = 3*o + 4. Let t be 1 + 0 - j - -1. Give y(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 3. Let v(n) = -3*n - 8. Let p(w) = -7*c(w) - 2*v(w). Let g(m) = -5 + 0 + 6. Let z = 35 - 36. Give z*p(r) - 5*g(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -1)*2\/14. Let d = -3.4 - 1.6. Let n = 419 - 414. What is the fourth smallest value in p, d, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q. Suppose -2*j + 14 = -2*o, 0 = j + 2*o - 0*o + 5. Suppose -7 + 1 = -j*s. Let r(w) = 2*w**s + 11 - 11. Determine r(z(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - a**2 + 5*a**2)*(a - a**2 - a) + 47*a**4 + 22*a**4 + 21*a**4 to q + l*a**4 + m*a**2 + z*a**3 + n*a and give l.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0234*-0.2\nAnswer: -0.00468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = 4*y, -5 = y - 6*k + 2*k. Suppose -s + y = 1. Suppose 7 = -3*x + 2*f + s*f, 5*f = -3*x + 2. Put x, -4, 0 in decreasing order.\nAnswer: 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from feaeeqeeaeaae.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2740 - 2764) + (-2 - -7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000487483625 rounded to 5 decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 78, 4, -112, -276, -494, -772, -1116?\nAnswer: -1532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - k = 0, 4*d = 3*k - 0*k + 5. Let s be (0 + d - 3) + -830. Is s\/(-8)*2\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from sssnnunssnnnllo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3011?\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or 6016669?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 5 = 21. Suppose 4*l = -2*x + u, 4*x + 15 = l + 1. Factor 1\/5*i**l - 4\/5*i + 0.\nAnswer: i*(i - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 175 = -4*r. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + w = 4*i + 23, -2*i - 13 = -w. Suppose 0 = 103*c - 89*c + 28. Put 3, i, c in increasing order.\nAnswer: i, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.928 or -7.4?\nAnswer: -12.928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3230552, -3230591, -3230702, -3230921, -3231284, -3231827, -3232586, -3233597?\n\"Answer: -6*a**3 + 3*a - 3230549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 - 4 = -5*m, 0 = 3*w + 3. Let o(l) = -4*l - 2*l - 1 + m + l**2. What is the units digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1131430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176285 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*b, -d = -5*b + 164 - 130 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29464 + -883991\/30. Calculate the common denominator of h and (172\/(-30))\/(12\/(-5)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 85. Let z be -1*(-4)\/(-22) - w\/(-440). What is the nearest to -0.1 in z, -1, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/4703985 and -47\/5850.\nAnswer: 47039850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 14 - 23*s**2 - 30.\nAnswer: -23*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-8 - -1) + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*f + 3*f - 1901 = 0, 3117 = -5*b + 4*f. Is b at least -629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-56)\/(-3))*(-4 + (-5056)\/(-79)). Calculate the highest common divisor of m and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1609454, -1609468, -1609492, -1609526?\n\"Answer: -5*a**2 + a - 1609450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 15184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397399264.\nAnswer: 2, 251, 49477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 3*r - 53. Give s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 2)*-3 + 1. Let q = -19 + 18.6. What is the nearest to 0.2 in q, f, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 0*r + 0*r + (-2*r + 3*r + 5*r)*(0 + 2 - 1) in the form d + x*r and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - (-4 + 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*f + 803 = -3015 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 872*y + 867*y + 46 = 0, 5*y = j + 32 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1b7?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15106*j + 151072. Determine p(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1911 (base 12) in base 5?\nAnswer: -44122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w**2 - 106*w + 2. What is m(6)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*1\/(-1) + 11. Suppose -k = u - 3. Let m = 23 + k. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265514 is divided by 85161.\nAnswer: 10031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 670 and 2278.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y\/(y\/(y**18\/y))*y))\/(y\/y**(1\/5)))\/((y\/(y*y**(1\/5)))\/(y*(y**(-5)*y)\/y*y)) assuming y is positive.\nAnswer: y**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 - 2*t + 19. Give l(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 12:48 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 550*o**3 - 299*o wrt o?\nAnswer: 3300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*t - 102 + 99, 1 = t + 2*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 801176036?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-15 + 4 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 49258560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 5:40 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1564619, -6258436, -14081463, -25033700, -39115147, -56325804, -76665671?\nAnswer: -100134748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348999 is divided by 2507.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 3:15 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*n + 138, -3*n + 175 = -5*h - 5*n. Suppose 4*y + 4*b + 18 + 122 = 0, 0 = -2*y + 5*b - 91. Which is smaller: y or h?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.18, 0.25, -26, 41?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10275\/2728 - -21\/248. What is the common denominator of r and -2*((-249)\/(-72) + -1)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 63. Suppose c = 4*x - 23. Suppose 8 = 2*i + 2*f - 4, 3*i - 48 = 3*f. Calculate the lowest common multiple of i and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*f + 28*f + 3*f**3 - 7*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 g when four letters picked without replacement from {w: 2, p: 1, s: 1, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 546031*t**4 + 6*t**2 - 5140200?\nAnswer: 2184124*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 2*q**2 - q**2)*(2 - q**2 - 2) + 5*q**2 - 5*q**2 + q**4 + (-4*q - q + q + (-3*q - 4*q + 3*q)*(0 + 3 - 2))*(-5*q**3 + q**3 + 2*q**3).\nAnswer: 15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 478 + -384. Calculate the remainder when 449 is divided by s.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**4\/4 - z**3 + z**2 - 3*z. Let w be j(2). Is 7\/14 + 1357\/w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + -45. Let y be (7\/14)\/(1\/358). Let v = y + k. Round v to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117659452 divided by -997114.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:22 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*v + 99, -2*b = v - 6*b - 44. Let y = 48 - v. Put 5, -5, y, 6 in decreasing order.\nAnswer: 6, 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0066 + -0.0474. Sort -0.2, a, 3\/2.\nAnswer: -0.2, a, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-3 - (-1 - 0)). Suppose h = w*h - 144. Suppose 0 = 2*k + 4*s - 12, 4*s - h = k - 5*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o\/o**(-2))\/o)\/o*o)\/o**6)\/(o*o**1)**7*o**(-3)*o\/(o*o**(-4\/7)*o*o)*o**(-2\/25)*(o**(2\/9)\/o)\/o assuming o is positive.\nAnswer: o**(-35101\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*u**3 - 709*u**3 - 846*u**3 - u**2 - 661*u**3 + u.\nAnswer: -1659*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 30*d + 157. Let m be p(23). Sort m, -1, -2, -104 in increasing order.\nAnswer: -104, m, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 z when three letters picked without replacement from {h: 4, u: 1, c: 1, p: 1, z: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26929496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 956 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/35 (b) 0.3 (c) 0 (d) -1 (e) -0.4 (f) -0.3112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k + 11*k + 8*k + 6*k - 3*k - k + 2 - 2*k - 2 + (2 + 1 - 6)*(3*k - 6*k + 4*k) - k + 1 - 1 + 3 - 3 + k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 285728243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -2*k + 16. Suppose h - k = 19. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-94)\/6)\/(-1) + (-2)\/3. Let k be (4 + 20\/(-8))*2. Suppose -10*d + 29 = -5*d + k*r, -2*d = 5*r - 23. Solve d*w = 7*w - a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2378, 2327, 2276?\n\"Answer: -51*z + 2429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-195)\/(-18)))\/(8\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1040 and 23264.\nAnswer: 1512160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/126764 and -109\/6820.\nAnswer: 19648420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 5:50 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + o - 12677, 430 = -4*o + 402. Calculate the greatest common factor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1959*o**2 - 108*o - 75. Let j be z(-13). Round j to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.8 (b) 1462 (c) 3\/2 (d) 5 (e) 0.25 (f) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3 - 318056*c**2 - 6296314916*c + 1041167724176 = 0. What is c?\nAnswer: -39839, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**2\/7 + 4314*n\/7 - 592596\/7 = 0 for n.\nAnswer: -837, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2997897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (872\/(-1526))\/(-7*1\/(-196)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.053 - 2.947. Which is the nearest to -6.4? (a) r (b) -0.4 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 2:54 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*b**4 - 6564*b**3 + 594026*b**2 + 800808*b + 267912.\nAnswer: 2*(b - 183)**2*(3*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 + 5*b - 2*b - 2*b. Let u be 1\/(((-16)\/40)\/(8\/10)). Let s be p(u). Is 6 != s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 29*q - 13. Determine l(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 10, 8, -6, -38, -94?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 n when three letters picked without replacement from enxeenenenxxnxe?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1806.00001111 - -1806. What is v rounded to 7 dps?\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*a = 1 + 5, 0 = 5*l + 4*a - 19. Solve -j = d - l, j + j = 3*d + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 8*t + 12. Let x be k(-6). List the prime factors of (8 - 3)*((-102)\/(-10) - x).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1998 and 28198773.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611*k = 614*k + b - 21605, -2*k - 4*b + 14410 = 0. Is k a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 + 105*v**2 - 170*v - 1320 = 0.\nAnswer: -22, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02559 - 23.14441. Let w = x - -23. Let u = -0.07 - w. What is the closest to u in -1\/3, 4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27615468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.9 (b) -3 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 = -4*a. Let u = 7 - a. Solve x + 4*d - 5 - 6 = 0, u = -d + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 192.23 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) -1 (c) 5 (d) -21\/16 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3739 + 5706. List the prime factors of a.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1\/2. Suppose 84 = 95*n - 67*n. Suppose -2*b - 8 = 2*b + q, -3*q = n*b + 15. What is the nearest to b in r, 1.8, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/36 - 10*6\/189 and 115\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 != -54915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2898)\/24 + (-3)\/(-4). Let y = -67 - i. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m + 509. Let y be o(-39). Let j(n) be the second derivative of 0 + y*n**2 - 1\/12*n**4 + 0*n**3 + 9*n. Differentiate j(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10016, 21314, 32612, 43910?\n\"Answer: 11298*u - 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 + 38 + -13)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 941, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**2 - 6*w**2 - 68 + 5*w + 65 to f + l*w**2 + h*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*s**4 + 89*s - 89*s)*(23*s + 23*s + 11 - 43*s).\nAnswer: -99*s**5 - 363*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 25 = -0*s. Put 0.3, 121, s in decreasing order.\nAnswer: 121, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 16*j**2 + 2*j - 29. Let q be g(16). Suppose -q*f + 11*f - 2344 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 105433 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25059 + 37528. Is 99 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655838666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*s + 13. Suppose -3*n - 33 = -k + n, -2*n - 59 = -s*k. Calculate the greatest common factor of k and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = 8*i - 9 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485046*s + 973 = -484073*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14903111 by -1.\nAnswer: -14903111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28243622 to the power of 1\/2, to the nearest integer?\nAnswer: 5314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -676712*t + 676712*t + 8346*t**4 + (-3 + 6 + 1)*(-t - 2*t + 2*t)*(-t**3 + t**3 + 2*t**3) as j*t**2 + m*t**4 + u + i*t**3 + s*t and give m.\nAnswer: 8338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 8734 (c) 0.15 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/3 + 80*b - 4. Let c(u) = -1020*u. Give c(o(l)).\nAnswer: -2040*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-196)\/1715*(-10)\/8. Let y(n) be the second derivative of 1\/14*n**3 - 1\/140*n**5 - c*n**2 + 25*n + 0*n**4 + 0. Factor y(j).\nAnswer: -(j - 1)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 6*t**2 - 3*t - 6. Let u be l(-6). Let v = 88 - 28. What is the highest common divisor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*u + 106*u - 179*u = -36540. Calculate the highest common factor of u and 7105.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 6137?\nAnswer: 6136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1211, -12147 in descending order.\nAnswer: 1211, 6, -12147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 8*p**2 - 7*p + 7. Let t(m) = -2*m - 3*m**2 + 1 + 3*m - 2*m + 4*m**2. Let r(x) = x**3 - 5*x + 2. Let w be r(3). What is w*t(j) - 2*f(j)?\nAnswer: -2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92 - 1) + (17 - (-69 + 70)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 4*k + 13. Let m be f(4). Suppose -9943 = -m*s + 12976. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 53\/5, -4, 2 in ascending order.\nAnswer: -4, 2, 53\/5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + m. Let i be s(1). Suppose i = 2*v - v - 11. Calculate the smallest common multiple of v and (2\/3)\/(6\/27).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10270 (b) 0.34 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/10)\/((6\/(-3))\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770686 (base 9) to base 8.\nAnswer: 1602072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (238 - 6\/(-2)) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 128750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -11*n**2 - 10*n**2 + 20*n**2. Let w be (-2)\/((-378)\/93 + 4). Let j(y) = 24*y + 31 - w. What is k(j(r))?\nAnswer: -576*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14080*d**4 + 9263*d?\nAnswer: -168960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -184, -1456, -4900, -11608, -22672, -39184, -62236, -92920?\n\"Answer: -182*i**3 + 6*i**2 - 16*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -15*a**3 - a**2 - 9*a - 6. Let y be ((-196)\/3)\/(-4) - (-12)\/(-36). Let n = y - 19. Is c(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 936 divide 8391240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -199 - -202. Let r(c) = 86*c - 52. Let y be r(i). Is y at most as big as 206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c**2 - c**2)*(8*c - 8*c - 6*c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-14) + (-516)\/(-28). Let l = x + -16. Let k(c) = l*c**2 - c**2 + 0*c**2. Let p(n) = -17*n**2. Determine p(k(w)).\nAnswer: -68*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15296*p - 7660*p - 7662*p.\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008665 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/13029 and -83\/155574.\nAnswer: 15712974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-75)\/(-21) + 4\/(-7). Solve s + 14 = -2*i, -i + 6 = -o*s - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1455 by 33367.\nAnswer: 1455\/33367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 + -0.71. What is the second biggest value in o, 2\/21, -5, 0.2?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*d = -8, -4 = 377536*p - 377534*p + d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 48. Suppose -w + k = 10. Let n = 138 - -54. What is the greatest common divisor of n and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 11) in base 15?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j + 40*j**2 - 32*j - 2*j**3 - j + 29*j in the form d*j**3 + k*j + r + f*j**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) - -2*sqrt(9)*-1).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**4\/2 - 4*a**3\/3 - 3*a**2\/2 - 3*a - 1. Is 12 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1660d8 + -2?\nAnswer: -1660da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 7*j - 27478*j**3 - 3*j + 17*j.\nAnswer: -27478*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = -5*t. Let r be (22\/33)\/(t\/3). Calculate the common denominator of -1 - r - 261\/(-42) and 95\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.5, -1\/2, 0.0729?\nAnswer: 0.0729","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2465 + 2536. Let c(d) = 4*d**3 + d**2 - d. Let v be c(1). Suppose v*q - t = -23. Calculate the smallest common multiple of 10 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, v: 1, u: 2, t: 1, q: 2, y: 1}. What is prob of sequence vguy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0)**45)**6 assuming j is positive.\nAnswer: j**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 - -412\/3. Let s = -533 - -534. What is the closest to 0.4 in s, m, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-1)\/(2\/458). Suppose 3*o - n = o. Suppose -629 = -5*m - 2*b, m - o = 2*b + 18. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:16 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67863358?\nAnswer: 2, 33931679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let v(r) = 3*r**2 + 9*r + 3. Let x(f) = -v(f) - 5*z(f). Suppose 12*t = -3 - 21. Determine x(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-5))\/(48\/120). Suppose u - 3*k + q = 0, -2*u + 2*k + k + 9 = 0. Solve -4*d = -u - 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3270, 2140, 1002, -150, -1322, -2520, -3750?\n\"Answer: -i**3 + 2*i**2 - 1129*i + 4398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 632*f - 114*f + 730*f - 14976 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v. Suppose -67*h - 34 = -50*h. Let o(a) = -a + 1. Give h*o(s) + p(s).\nAnswer: -6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 less than or equal to -1510\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.800145ml to litres.\nAnswer: 0.000800145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8209 - 5330 = 85*q - 6301. What is the remainder when q is divided by 83?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212344 to the power of 1\/2, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, g: 3, s: 2, f: 3, b: 1, q: 2}. What is prob of sequence gfq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*t - 6, 0 = 2*o + 8*t - 10*t - 10. What is the highest common factor of o and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*l - 2)*(4*l - 118 + 118)*(5*l - 1 + 14*l - 1 + (-3 + 2 + 2)*(l - 2*l + 0*l)).\nAnswer: 144*l**3 - 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*g + 15, g = n - 684 + 699. Let i = -7 + 12. Which is the fourth biggest value? (a) n (b) -0.5 (c) i (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 5684.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*i**3 - 46*i**4 + 0*i + 9*i + 13*i**3 wrt i?\nAnswer: -552*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67493241.9ns in weeks?\nAnswer: 0.00000011159596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8473880581*o**2 + 2*o - 2*o + 2 - 8473880582*o**2.\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9 - (-24)\/(-9)*-1. Let l be ((-160)\/(-6))\/(z*(-2)\/(-234000)). Round l to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w - 20. Let z(m) = -m - 8. Let l(h) = 2*x(h) - 5*z(h). Let v(q) = 633*q**2. Determine v(l(o)).\nAnswer: 633*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7607, -8480, -9353, -10226, -11099, -11972?\nAnswer: -12845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 36 = -4*u, -4*t = -0*t + 2*u - 28. Suppose -11 = 3*m + 1, -5*g + 210 = t*m. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 - 917 = -4*t. Let r = -193 + t. Factor 12*d**4 - 128\/3*d - 32\/3*d**2 + 32*d**r + 64\/3.\nAnswer: 4*(d + 2)**2*(3*d - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 0.5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.5? (a) -4 (b) -0.2 (c) 3\/182 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**5\/15 - 17*a**4\/4 + 464*a**3\/9 - 154*a**2 - 480*a + 934. Factor i(h).\nAnswer: (h - 40)*(h - 6)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/73 + -49\/219. Let t = -0.01 - -0.01. What is the nearest to t in -5, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:40 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/39 + 521\/5460. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 319*i - 77436. Give o(247).\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmmmmpiimip. Give prob of picking 2 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 282*m**2 + 9620 - 9620 + 4*m - 2*m**2 - 4*m + (0 + 2*m + 0)*(-4*m + 2*m + 0*m) + 2*m**2 - 6*m**2 + 2*m**2 + m**2 - 4*m**2 + m**2.\nAnswer: 272*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*x**2 + 0 + 8\/7*x.\nAnswer: -2*x*(x - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001213 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 986?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {t: 2, h: 1, r: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 84870102*o - 600244517790867.\nAnswer: -3*(o + 14145017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-14))\/(o\/(o**(-4\/5)*o)*o))**(-3) assuming o is positive.\nAnswer: o**(222\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r*r\/r**3)\/r)**(2\/27)\/(r**(-2)\/r)**(1\/5))**(-2\/17))**(-50) assuming r is positive.\nAnswer: r**(1420\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 8*r**2 + 4*r + 7. Suppose -2*f = -0*f - 16. Is y(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80320505 to the nearest integer?\nAnswer: 8962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + (sqrt(98) + -1)**2)*4 + 4 + -5 + -2.\nAnswer: -336*sqrt(2) + 2325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/(-9) + 99\/(-891))*(1 + -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-72) + 125\/70\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 6*p**2 - 25*p - 203. Give s(0).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 335999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.9 and -1.3.\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147a665 (base 12) to base 4.\nAnswer: 33303320231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33610 rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/19 + (-50661)\/(-247) + -37. Calculate the highest common factor of y and 5328.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195773.\nAnswer: 137, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**3 - 4*j - 197. Let h(y) = y**3 - 2*y + 1. Give -2*h(c) + w(c).\nAnswer: 4*c**3 - 199","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -5*v - 56, l + 20 - 13 + 9 = -l + 18*v - 22*v for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opoo when four letters picked without replacement from {h: 3, w: 1, p: 2, o: 3, r: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*n - 2 = -5, 4*f - n = 15. Suppose 0*c = -5*l - f*c + 9, 5*l - 25 = 5*c. List the prime factors of (6\/(-18))\/(l\/(-873)).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11986237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*r + 11, -5*c - 5*r + 15 = -0*r. Suppose -7*t = -4*t + 9. Sort t, -5, c in ascending order.\nAnswer: -5, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*r - 64*r - 2*k - 23 = 0, 2*r - 19 = -9*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 15. Let d(x) = 2*x + 43. Give -8*c(l) - 3*d(l).\nAnswer: 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020220 - -102102?\nAnswer: -211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5970, 6004, 6038, 6072?\n\"Answer: 34*d + 5936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1881, -43, 1, -4 in ascending order.\nAnswer: -1881, -43, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -72*i**2 + 507*i - 432. Let w(k) = k**3 - 217*k**2 + 1520*k - 1296. Let j(y) = -8*l(y) + 3*w(y). Determine r, given that j(r) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 - 2*n + 13. Give k(-9).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:10 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*i + 18, 0 = -0*p - 5*p - i + 27. Solve p*y - 11 - 19 = 4*r, -y + 2*r = -12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48677 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7363008339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -856 - -1575. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5, -w + 5*w = 4*b + 36. Suppose 4*d + 84 + 188 = 0. Let x = d - -61. Is x at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 8015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13*m + 1400. Let r be x(-92). Calculate the greatest common divisor of 4182 and r.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 6*o**2 + 2*o - 4. Determine a(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (28\/20)\/((-2)\/(-10)). Suppose -z*t - 12 = -19. Differentiate 5*j**2 - t - 16 - j**2 + j**2 wrt j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8603108 + -0.78.\nAnswer: -8603108.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-15)*(-6)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 9. Suppose 5*m = g*m. Suppose 3*s + m = 6, 0 = 4*l - 3*s + 1480006. Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-10)*(-216)\/(-126)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/35 - (5 + (-354)\/70)\/((-168)\/(-840)).\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30824 + 0?\nAnswer: 30824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2792 = 6862. Let j = -19457\/6 - p. Calculate the common denominator of j and (-1 + 6)*722\/(-665).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76337263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -234 + 237. Is m\/(-24)*-2 - (-130634)\/56 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z + 20 = 0, -1492 = -3*i - 5*z. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/21 and 64\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66031212 and 76189860?\nAnswer: 990468180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c + 2*c - 4*c)*(-4 - c + 4) + 19*c**2 - 8 + 8)*(-1 - 7 - 36)*(2 - 4 + 3).\nAnswer: -880*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, 0, -4, -7.32 in decreasing order.\nAnswer: 2, 0, -0.1, -4, -7.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50469, 100874, 151279, 201684?\n\"Answer: 50405*s + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 1, k: 11}. What is prob of picking 1 p, 2 k, and 1 q?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*y**5\/7 - 258*y**4 + 23134*y**3\/7 - 45120*y**2\/7 + 3400*y = 0. What is y?\nAnswer: -238, 0, 1, 5\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*i**3 + 11689*i - 32 + i**2 - 11689*i to n*i + d*i**2 + a + p*i**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 33*o**3 - 1221*o**2 - 262*o + 9705. Calculate s(37).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19730.\nAnswer: 2, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159.67554 + -0.44354. Let f = u + -0.232. Let s = -158.999909 + f. What is s rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 - 2*w**2 + w - 8. Let g(n) = 14*n**3 - 7*n**2 + 3*n - 23. Let b(d) = 4*g(d) - 11*i(d). Let s be b(6). Is ((-47)\/s)\/((-5)\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 44155407*k**2. Let l(a) = a. Give r(l(p)).\nAnswer: 44155407*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + -54. Let b = 96 + o. Let u = 50 - b. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (1 + 0))*7. List the prime factors of (-196)\/y + (-4)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2. Let b(z) = 9 - 4*z - 4 + z + 0*z. Determine b(q(y)).\nAnswer: 3*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3222 and 66?\nAnswer: 35442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/264*12\/15.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-20)*m*m**(-15)*m*m\/m**(-2)*m*m*m*m**(-20) assuming m is positive.\nAnswer: m**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*m = -20, -5 = 2*g + 3*m - 1. Calculate the lowest common multiple of g and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18165 = 9*p - 18201. Which is the smallest value? (a) -1\/2 (b) 0.05 (c) p (d) 0.9 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-5 - 16\/(-12)). Put 0.4, 0.2, m, -1\/6 in descending order.\nAnswer: 0.4, m, 0.2, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 30. Give h(-8).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -70*n**2 + 49\/12*n**4 + n**3 + 0 + 0*n. Find the first derivative of u(i) wrt i.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -54, -180, -418, -804, -1374, -2164, -3210?\nAnswer: -4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Let l = -135 - -136. What is the nearest to l in -3, c, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 0. Suppose -2*r + 59*r + 51 = 6*r. Suppose 0 = -7*t + 11*t + 20. Which is the nearest to -1? (a) v (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133633\/480 - 1392\/5. Let f(m) be the third derivative of 1\/1680*m**7 - 1\/192*m**4 + 1\/960*m**6 + 0*m**3 - 3*m**2 + 0*m - j*m**5 + 0. Factor f(h).\nAnswer: h*(h - 1)*(h + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 14. Suppose -o + 2*t = -0*t - 46, -3*t - 129 = -l*o. What is the remainder when o is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -3.7. What is w rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -253*u + 208. Let i(l) = 257*l - 209. Let b(t) = -6*c(t) - 5*i(t). Find the first derivative of b(v) wrt v.\nAnswer: 233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46230 + 71420 = -102*g - 4533*g - 266815 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sshqhhsqhh. What is prob of sequence qsss?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2049+2\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -38 - (2 + -3 - (0 + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 55*k - 114. Calculate the remainder when 18 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 177. Let v be k(-59). Solve -u - 4 = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/9 - 10\/(-3). Let w(q) = q**3 - 3*q**2 + 2*q + 3. Suppose -s + 4*s = y + 25, s = -y + 11. What is the lowest common multiple of w(z) and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.96 + -2.0228. Round n to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*b - 55, -t - 6 + 3 = 0. Let i be (60\/(-9))\/(-5)*-3. Calculate the lowest common multiple of b and (1\/i)\/(2\/(-16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*h - 4829 = 0, 30*h - 34*h = -2*s + 9628. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/24*10)\/1*6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4875, -17647, -30419, -43191, -55963, -68735?\nAnswer: -81507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/264 and 20\/6820407.\nAnswer: 54563256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w. Let g(b) = b + 4. Let t(n) = 2*n**2 + 2*n + 7. Let x(k) = 5*g(k) - 3*t(k). What is 3*v(u) + x(u)?\nAnswer: -3*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 2, t: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 464. Let t = 7 - -59. Let f = w - t. What is f rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*u = 8, 10*u + 43 = 3*x + 5*u. Let b = x - 5. Solve b = -4*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*(30 - 33)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1109737, -2219521, -3329305, -4439089, -5548873?\n\"Answer: -1109784*b + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*j**2 - 4114*j**4 + 4116*j**4 + 8*j**2 + 2125*j**3 to the form a*j**4 + z*j**3 + g + x*j**2 + r*j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-84))\/(16\/(672\/(-182)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 1, u: 1, k: 1}. What is prob of picking 2 d and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29764104 by 4.\nAnswer: 7441026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 - 516*s**4 - 13224*s**3 + 563584*s**2 + 21751296*s = 0. Calculate s.\nAnswer: -56, -51, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/5*274250\/(-10970).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 124 and -0.2.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3609*o**3 + 55*o**4 + 3609*o**3 + (0*o**2 + 0*o**2 - o**2)*(-o - 2*o**2 + o) + (2*o**2 + 2*o**2 - 6*o**2)*(-2*o**2 - 4*o + 4*o).\nAnswer: 61*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9) - (11 - (-80)\/56*-7)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234 + 244. Suppose 9*h - v = 4*h. Suppose 0 = -0*o + 3*o + 9. Sort -2, o, h.\nAnswer: o, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/170, 15.4, -1\/5, -29?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g - 4 = -5*f + 8, -10175*g + 20339*g - 10166*g + 44 = -3*f for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-437)\/57 - ((-2)\/(-6) + -1). Let n(d) = d**2 + 8*d + 19. Determine n(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 19*m**2 - 2*m - 34. Let n be u(-19). Solve 0 = n*b + 48 - 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 665, 1420, 2893, 5324, 8953, 14020?\nAnswer: 20765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249484620.\nAnswer: 2, 3, 5, 7, 11, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose -2*i + g = -4. What is the third derivative of s**2 - s**2 - i*s**2 + s**3 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2031, 4063, 6095?\n\"Answer: 2032*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45883, 45884, 45885, 45886?\n\"Answer: r + 45882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2*(-9)\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10352156 (base 7) in base 2?\nAnswer: -11011000011111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21594 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*m + 12 = 0. Let t be ((-2)\/6)\/(1\/m). Let b(q) = -q**t + q**2 + 2*q**2. Let z(s) = -s**2. Calculate b(z(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 24153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 16) to base 15.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555529 is divided by 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*f - 186. Calculate the common denominator of f and -33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111210101200 (base 3) to base 7\nAnswer: -2210322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from jkjjjjgkgjkddcv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 194299 and 12863.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 8*n**3 - 14*n**2 - 20*n + 194. Factor r(c).\nAnswer: 4*(2*c + 1)*(3*c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 448\/(-56) + (4 - 0). Let s be 12\/42 - 19\/(-7). Suppose 2*m - 5*m = s. Sort l, 5, m, 4 in descending order.\nAnswer: 5, 4, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 23966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186.31 - -185. Let y = 0.31 + u. Which is the second biggest value? (a) 2\/5 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17105718?\nAnswer: 2, 3, 7, 131, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299\/117*3*12\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142 and 7189034.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 105?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 155166, 618338, 1390290, 2471022, 3860534?\n\"Answer: 154390*i**2 + 2*i + 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 56 - 18. Let h = -7 - w. Suppose -k + 11 = -h. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*v**3 + v - 108 wrt v.\nAnswer: -12*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 66 = 6*m. Let g be (-1)\/(-9)*m + 20\/21. What is the smallest value in -46, -4, g?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002129134 to seven dps.\nAnswer: 0.0002129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3773 and 2401861?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:57 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 7*l + 22. Let r be f(-8). Let k(y) = -32*y + 34 + r*y - 31. Let c(b) = -b + 1. Give 3*c(v) - k(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12685379*b**3 + 45744646*b**2 wrt b?\nAnswer: -76112274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/3)\/(-3)*2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4187 - -4660. Calculate the remainder when x is divided by 82.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -182*o**2 - 5871*o + 23474. Calculate g(4).\nAnswer: -2922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10146, 10148, 10150?\n\"Answer: 2*i + 10144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {d: 1, u: 1, z: 1, f: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17687, -35679, -53997, -72641, -91611, -110907, -130529?\n\"Answer: -163*m**2 - 17503*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 10, -2*n + 4*b = 3*n - 70. Let w be 29\/(-5) - 1\/5. Calculate the remainder when 2 + 25 + w\/(-3) is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2351972 (base 12) to base 8\nAnswer: -32022446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 727157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.21062 and -0.771427.\nAnswer: 0.439193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 2*u**2 - u**2 + (2*u - 2*u - 2*u)*(-2*u - 18*u - 8*u) as c + s*u**2 + w*u and give s.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165435 by -3.\nAnswer: 55145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 69, 97, -10.39, -0.1?\nAnswer: -10.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 28086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 - 3*n + 5. Let m(g) = -g**2 + g - 1. Let t(v) = 5*m(v) + s(v). Let h(l) = l**2 + l. Calculate 2*h(f) - t(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/(6\/(36\/(-5))).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012263 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 3*v = -23*q - 9, -q - 2*v = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -51*((-16)\/(-6) - 3). Suppose 0 = q - 3 - a. What is the lowest common multiple of 4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(17)*1 + sqrt(17)) - (-1*sqrt(425))**2) + 4.\nAnswer: -416 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1171.96485 - 1172. What is m rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.08 - -3.4. Let r = o - 13.42. What is r rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1082 - 13*n + 1079 + 1072 - 22*n + 1077 - 4311.\nAnswer: -35*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 299036*b.\nAnswer: -2*b*(b - 149518)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/8 + -2)*(-7665)\/3066*4\/5. Factor -2*q**3 + 0 - m*q**4 - 5\/2*q**2 - q.\nAnswer: -q*(q + 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from {w: 16, y: 1, c: 1}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1133 is divided by 36?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -2549\nAnswer: 103\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -967237, -967400, -967561, -967720?\n\"Answer: u**2 - 166*u - 967072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 5:16 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and (-1)\/(-3 + (-20)\/(-7)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h + 2*h - 3*h - h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -112222222?\nAnswer: -112222210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-12 - -26)) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*d - 0*d - 8, -g = 4*d - 20. Let y = d + -3. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*x - 15 = -305*x - 4*s, -x + 4 = s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5505 is divided by 1831.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 19*f + 60686. Let s = -31 + 67. Is (f\/(-3))\/(24\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 + (41 - (27 + 40)) - -2\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riar when four letters picked without replacement from {a: 6, i: 2, r: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -51, -0.35 in decreasing order.\nAnswer: -0.35, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/954 and 103\/696.\nAnswer: 110664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r. Let w = 1 + r. Let j be ((-20)\/8)\/(w\/(-2)). Solve j*b - 5*p = 0, 4*b - 16 = -p - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 33 - 27 = 0. Suppose -4 = -f, -r + 5*f - 20 = -o. Find the third derivative of -k**4 - 2*k**4 - 7*k**r - 10*k**4 - 9*k**2 wrt k.\nAnswer: -312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.5 - 4.45. Let w = n + -0.05. Let o = 6.0001 - w. Round o to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5080506379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 63*o**2 + 34*o + 15. Let n(w) = 94*w**2 + 53*w + 21. Give 10*i(z) - 7*n(z).\nAnswer: -28*z**2 - 31*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = x. Let d be (x\/10)\/((-4)\/(-20)). Solve c + c = d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/(-15)*(-132735)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 24. Let g be j(4). Suppose -4*s = -2*u + u + 1, -s = -5*u + 5. Factor 1\/4*w**5 + g + 3\/4*w**3 - 1\/4*w**2 + s*w - 3\/4*w**4.\nAnswer: w**2*(w - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwss when four letters picked without replacement from ssccww.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -3*y - 274040. What are the prime factors of y?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:37 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-6))\/2*9\/15.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.67535237 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -669*d**2 + 660*d**2 - d**3 - 1 + 4*d + 0*d**4 + 2*d**4 + 1 to the form w*d + t + o*d**4 + i*d**2 + v*d**3 and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.144 - -0.856. What is the nearest to b in -3\/2, -1, -37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q**(1\/7)*q)\/q)\/q)**17\/(((q**(-12)\/q)\/q)\/(q*q**(-3))) assuming q is positive.\nAnswer: q**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.8690967 rounded to one decimal place?\nAnswer: 25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from wfppfwpwwwpafff?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aiaaaaaau. What is prob of picking 1 i and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3194*-0.7\nAnswer: 2235.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from mmluzmml.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/12 + 63*o + 10. Let v(w) be the first derivative of p(w). Let q(n) = 34*n**2 - 10*n**2 + 52 - 54. What is v(q(x))?\nAnswer: 576*x**4 - 96*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6295977 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 3*i**2 - i - 4. Let l be v(-4). Suppose -x - u + 4*u = -15, -x + l = -2*u. Let z = x + -8. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f - 27832 = -5*t, 0 = -f - 3*t + 6958. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 3*u**2\/2 - 5. Let d(o) = 2*o**2. What is d(c(j))?\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1187*x**3 - 588*x**2?\nAnswer: 7122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.33 - 0.07. Which is the third biggest value? (a) 1 (b) 2\/19 (c) 5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0443069059 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from fofooooofo?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 + 19. Let q(y) = 8*y**3 + 77. Calculate -9*h(b) + 2*q(b).\nAnswer: -2*b**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39184 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3111111928.16 - -3111108944.15996874. Let p = q + 2984. Round p to six decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(-1 + 0 + 3) + 1 - 8 + 1)*(m**2 + 2*m**2 - m**2).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512178 is divided by 628010.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3936970 is divided by 1682.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aie when three letters picked without replacement from ayeeypieeepaeyeypyy?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(-36))*f))\/f)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -295 + 1544. Suppose o - 2*b = 3*b + f, 0 = -2*o + b + 2516. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.93, -0.03, -1\/9, 0, -71?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1040\/60)\/(-26))\/(4*(-63)\/2052).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7070 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Let b(u) = 3*u**2 - 7*u + 0*u + 7*u. What is t(b(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*-5)\/(sqrt(72)*3 - sqrt(8)).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3912083 centimeters to micrometers.\nAnswer: 3912.083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmnznnnzzznznnnzn. Give prob of sequence nzm.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 4*c - 5*c)*(457 + 280 + 245) to p*c + d and give p.\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**4\/24 + 37*d**3\/2 + 4*d**2. Is q(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from meern.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(2299) + 0) + sqrt(2299))*3)**2 + (-2*sqrt(2299)*-2)**2*-2.\nAnswer: -73568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 53*w - 1260 = 1860 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (24\/(-24))\/(17943\/8973 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -33*a**3 + 3*a**2 - a - 511. Let r(v) = 40*v**3 - 4*v**2 + v + 510. Calculate -6*k(f) - 5*r(f).\nAnswer: -2*f**3 + 2*f**2 + f + 516","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = -4*o, 3*a = o + 1 + 3. Let r(y) = -3*y + 1. Calculate r(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:43 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 27*q**2 - 5*q + 14. Let f be v(2). Let s be f\/(-98) + (-2)\/14. Which is the nearest to s? (a) -0.5 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1\/2 (c) 0.4 (d) -4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46995212 to the power of 1\/2, to the nearest integer?\nAnswer: 6855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19791640 is divided by 432.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 6, j: 3, q: 5}. Give prob of sequence jmq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19746.1009 + 19748. Let y = f - 0.1031. Let d = y - 1.8. What is d rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5369637 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 28, 13, -8, -35, -68, -107?\n\"Answer: -3*y**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -99. Solve -2*i + 2*p = -8, j*p + 4*p - 24 = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 0.3 (c) 0.03 (d) -2\/249 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 3*t + 6.\nAnswer: -3*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 - 238630*v + 715881 = 0. What is v?\nAnswer: 3, 238627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-4)\/u*u*u)\/(u*u\/(u**(4\/9)\/u)))**46\/((u**(-1))**(-41)\/(u\/(u\/u**0))**(-1\/38)) assuming u is positive.\nAnswer: u**(-2255\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -0.2 (c) 3 (d) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/100 - (-33)\/(-105).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1342? (a) -3 (b) -9\/11 (c) 0.1 (d) 1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*t + 37, 0 = t - 12 + 7. Let b be o\/(399\/56) - 1\/(-3). Put b, -5, 2, -37 in ascending order.\nAnswer: -37, -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - x)*(-43 + 3*x + 4*x - 8*x).\nAnswer: x**2 + 43*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/15 - -8\/15. Sort -0.4, k, -19.\nAnswer: -19, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -509, -2, -5 in increasing order.\nAnswer: -509, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - 1) + 1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -25. Let c = 7.5 - a. Let y = -5 + 2. What is the second smallest value in c, 5, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13.8 and -0.05343998.\nAnswer: 0.737471724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 0)*(-8)\/(-16). Let a be -151 - 4\/(-4)*1. Let b = a - -152. Solve 16 = b*j + m*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -99 in decreasing order.\nAnswer: 3, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(((-72)\/(-9))\/192)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-5)*910\/364.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 1 - 7*n + 4*n + 3.\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -272 + 1356\/5. Let o be (-5)\/15*48\/4. What is the second smallest value in o, 1\/4, -7, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*f - 11, b + 3*b + f + 2 = 0. Let a be ((-4)\/6)\/(b\/3). Suppose 6 = 3*o - a*o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/24 - w**5\/12 + w**2. What is the third derivative of r(a) wrt a?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 30 = -6. Let r be ((-18)\/(-8))\/(v\/48). Suppose -4*b - 14 = -2, -4*h - b = -9. Solve -h*o - p = -5 - 9, -3*o - 3*p = -r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40068 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66061 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10750*z + 2934*z + 751995 + 406155 = 8729*z for z.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 - -209. Let j be 13\/p + (-10)\/16. Put 5, j, 0 in decreasing order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 339341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*o - 51*o - 8. Let q(m) be the first derivative of 61*m**2 + 1. List the prime factors of q(o).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445278517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -709, -736, -763, -790, -817?\n\"Answer: -27*r - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8308 - -9320. Is 2023\/2 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35182 times 13?\nAnswer: 457366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from gggxgggxgxg?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11512 - 310778\/27. Let q = s + 328\/135. Find the common denominator of ((-8)\/(-55))\/((-6)\/(-20)) and q.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 1 + (-10 - 6 + 5)*(-2 - 9 + 3))*(0 - u**2 + 0) to the form r + m*u**2 + v*u and give m.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1054, -1053, -1052, -1051?\n\"Answer: o - 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -3, 0, -3\/5, -1.34?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (-1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 225 from -0.60916.\nAnswer: -225.60916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17247*z + 5 = -17253*z - 8*l - 3, -2*z - 41 = -5*l for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:21 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -1. Let j(s) be the third derivative of -s**5\/60 + s**4\/4 - s**3\/6 - 3*s**2. Let i be j(6). Is i at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**4 + 19*y**2 - 14*y - 4. Let i(x) = x**4 - x**2 + x + 1. Let d(q) = f(q) + 4*i(q). Factor d(m).\nAnswer: -5*m*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + m + 5. Let b be 0 - 8*2\/4. Let k(u) = u**2 + u - 4. Let q be k(b). Suppose 3*l = 5*l - q. Calculate o(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-4)*112\/(-35). Which is the closest to 1? (a) 1 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29756.2676 to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2069883631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38818?\nAnswer: 2, 13, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/247977 and 47\/45?\nAnswer: 1239885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71901, -72012, -72123, -72234, -72345?\nAnswer: -72456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 8. Suppose 0*f + 30 = 5*f - 3*z, 5*f = -4*z + 65. Let p be m(f). Let h be (-1 + 4\/(-1))\/p. Solve -1 = -3*s + h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 1561578890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (270\/8)\/5 + (-18)\/24. Suppose -16*b - 10 = k. Are b and -2\/299 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 21596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.6 + -13.7. Which is the nearest to 2? (a) 1\/2 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u - 26. Let x(g) = 14*g + 31. Determine 5*f(o) + 4*x(o).\nAnswer: -19*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, -1\/15, 1\/3, 8, 2\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-32)\/(-30)*-750. Let a be u\/(12\/(-26000)*-2). Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -163 + 182. Suppose i*n = 24*n. Solve -6*l + 6 = -n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 + -2130111?\nAnswer: -2130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 13 + 56)*(-3 + 3 - 2*y)*(3*y + 59 - 59).\nAnswer: -258*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b - 6 = -45*b. Calculate the least common multiple of 20 and 312\/76 + b\/19.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 67993299 - 37*b - 67993302 - 4*b**2.\nAnswer: -11*b**2 - 37*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (6 - ((6 - 3) + 6)) + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-22)\/275 + 2445\/12714*16\/(-50).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**2 - 13*f + 13. Let k be w(0). Solve 32*a - 45*a = -k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -48. Suppose -34 - 66 = -i*l. Do 19 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z, -4*w = w - 3*z - 58. Suppose -w*d = -16*d + 14. Solve -5*p = 4*h - 33, p + 5*h + d = 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -1 (b) 940 (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -20*w**2. Let f(o) = -3*o + 335 - 335. Determine f(k(j)).\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4 - 4)*(-144 + 144 + 11*p**2) + p**3 + 3*p**3 + p**3 - 2*p**3 - 3 + 3 - 5*p + 7*p**3 + 5*p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71161 or 71163?\nAnswer: 71161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*b**3 + 70*b**2\/3 - 34*b\/3 - 20\/3 = 0. Calculate b.\nAnswer: -1\/3, 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11245*k = 11332*k - 870 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s**3 - 2*s**2 + 6*s. Let w(h) = 2*h**3 - h. What is 2*o(z) + 10*w(z)?\nAnswer: -2*z**3 - 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21+5397050920\nAnswer: 5397050899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*m + 6 = -0*a, -m = -a - 1. Are a and 12\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*s*v**4 + 13*s*v**2 - 3*s*v + 11*s + 55*v**4 + 2 wrt v?\nAnswer: -792*s*v + 1320*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/43465, 0.2, -0.31, 2, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, 0.2, 2\/43465, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - -3) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 0 + 13*p + 19\/6*p**3 + 1\/8*p**4 + 9*p**2. Let h(r) be the first derivative of z(r). Differentiate h(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckpxkhkh. Give prob of sequence ch.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.7, 3162\/317, -3 in descending order.\nAnswer: 3162\/317, 5, 0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a + 68. Let c be b(8). What is the hundreds digit of (1835\/(-10))\/(c\/(-24)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 10. Suppose 4*b = -8, 0 = -f*l + b + 252 + 77. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*t**5 + 1824*t**3 - 15540*t - 3324 wrt t?\nAnswer: -460*t**3 + 10944*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3033 + 3032. Put -156, p, -2, 1 in ascending order.\nAnswer: -156, -2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 0.7. Let k = -2.4 + l. Let h(x) = x**3 - 8*x**2 - 9*x + 1. Let w be h(9). What is the nearest to w in -4\/5, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.0717, -0.5, -5, -4?\nAnswer: 0.0717","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.26*563294.\nAnswer: 1273044.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 4. Calculate d(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w - 25*w - 20*w - 19*w + 2. Let f(h) = h. Calculate f(x(v)).\nAnswer: -55*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41377322*h**3 - 55542914.\nAnswer: -124131966*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - g**2 + g - 1. Let p be s(2). Let l(c) be the third derivative of -c**6\/120 + c**5\/12 - c**4\/12 + 7*c**3\/6 - 10*c**2. What is l(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2218635 (base 10) to base 14\nAnswer: -41a77d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + 3*x + 1. Let r be l(4). Let c = -1 - -8. Is (r\/4)\/(c\/(-364)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*2\/1*29\/(-812)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*r - 190*r - 4 - 56*r + 4.\nAnswer: -138*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, h: 3, r: 3, j: 8, o: 2}. What is prob of picking 1 j and 1 o?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 12. Let n = 22 + u. Let j = 3 - n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 30218974.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 1. Let i be o(1). Let f = 3 - i. Let r(c) = -c + 10. Let p be r(f). Solve k = -k - p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + ((-180)\/(-84) - 1)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*q - 350*q - 3864 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66 plus -0.024?\nAnswer: 0.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j = -162 - 48. Let k(l) = l**2 - 10*l + 3. Give k(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806437.5mg in grams?\nAnswer: 806.4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 36. Let j(s) = s**2 - 19*s - 75. Let r be j(-13). Suppose -r = -12*m - 245. What is the lowest common multiple of m and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 282 + 111. Suppose -39 = -3*y - 4*j, 5*y - 4*j - o = -8*j. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17616 is divided by 2167?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*u - 2*k, -5*k - 19 = -u - 8*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a**2 - 136*a + 43. What is the tens digit of i(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -595 divided by 10?\nAnswer: -119\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i + k - 253 = 0, 0 = 4*i + 4*k - 244. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(21\/8))**(-5\/7)*(k**(-2\/41)*k)**(-34))**27 assuming k is positive.\nAnswer: k**(-303021\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2728 and 176?\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3.4.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and 962.\nAnswer: 109668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h - 3. Let i be j(-7). Is 114408\/i + 1\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:09 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 60557875211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138983 = 2215*x + 2973*x + 10384 - 110049 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 28. Suppose -4*f + n + 10 = 0. Let v = 20 - 18. Solve 0*m - f = v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -7*c**2\/2 - c - 3. Let u be y(-1). Suppose -75 = -u*g + g. Solve 3*f = -3*k + g, -8 = 2*k - 0*f - 4*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126882 and 1590?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17864.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*i - 5, -5*j + 15 = -551*i + 556*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 4*s - 3*n, 3*s + 4*n + 48 = s. Let y = s + 22. Suppose 2*x + 2*a = 20, 6*x - 3*a = 2*x + 40. Solve p = -i + y*p + x, -2*p = -5*i + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19030)\/(-3460)*(-2)\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4*(1 + 1). Let l be (2 + (-3)\/2)*10. Suppose l*q - 60 = 5*a, 0 = 5*q + 2*a - c*a - 56. What is the highest common divisor of q and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 3*b - 24. Calculate q(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9394940 is divided by 1882.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 3*a, 2*a = -2*a - o - 14. Let y be (0 + (1 - a))\/1. Suppose 133*w + 12 = 136*w. Solve y*v = w*f + 20, -4*v = f - 6*f - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 22. Suppose 0 = 5*t - 181 + d. Is 4 a factor of (14\/t)\/(2\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*v + s - 2, -s - 2 = 0. Solve t + z + 4 = -3, -v*t - 11 = z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i + 1. Let c(u) = -u. Suppose 0 = -7*f - 0 - 7. What is f*a(y) - 6*c(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19133, 38268, 57405, 76544, 95685?\n\"Answer: a**2 + 19132*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3840 and 64160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, 2\/3, 36, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 51 and 10\/403 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 14) in base 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**4 + 0*m**2)*(-4 + 4 + 2*m) - 10*m**4 + 4*m**5 + 10*m**4.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -116a + -27?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 337*x**2 - 1083*x + 3921808.\nAnswer: 674*x - 1083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3295*f - 2091*f - 2602*f + 15 + (2 - 2 + 2)*(-3*f + 6*f - f) in the form a + v*f and give v.\nAnswer: -1394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 5. Let m be k(2). Let g = 139388533\/477 - 292219. Let j = g + 4\/53. What is the nearest to m in 0, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 1 + (180 - 163)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + f + 1. Let b(l) = -3*l**2 - 2*l - 2. Let m be (180\/(-24) - -7)*(4 + -6). Determine m*b(j) + 2*o(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k + 26*k = -3*c + 30, -4*c + 12 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176448 is divided by 846?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**3 + 4*y**2 - 6*y + 1. Let g be (-42)\/(-7)*1\/2 + -2. Let n be s(g). Solve -h - n = 2*j, 0 = -h - h - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 5*l**2 + 16*l + 16. Let y be m(-7). Let k be 13\/(52\/(-452008)) - (-4)\/y. What is k rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -o - 31, 0*i + 4*o = 4*i - 52. Solve 4*y - 12 = 0, i = -5*u + 4*y - y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3626454 and 13.\nAnswer: 3626454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.2. Sort -1, j, 2\/7 in ascending order.\nAnswer: -1, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.409 + 1.409. Sort -2, d, -3, -1\/3 in descending order.\nAnswer: -1\/3, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 65 = -83. List the prime factors of ((-2307)\/9)\/(6\/(z + -20)).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 + -41. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 102\/(-867) - 7068\/34. Let i = u + 211. Let x = -2 + 3. Calculate the least common multiple of x and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + -5 + sqrt(95)\/sqrt(5) - sqrt(19))*6.\nAnswer: -24*sqrt(19) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 986.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3540 by -1180.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1 = 4*x - 0, 0 = 3*x - g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 + 8*q**3 - 9*q**3 + (-4*q**2 + 0*q**2 + 5*q**2)*(-6*q + 2*q - 2*q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -776.4 - 148.\nAnswer: -924.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9688.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 minutes before 12:12 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Convert -73af (base 16) to base 15.\nAnswer: -8b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 7*j - 4. Let p be c(-5). Let a = 10 - p. Factor k**5 + k**3 - k**4 + k**2 + 0*k**a - 2*k**5.\nAnswer: -k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -6.4 (c) -4 (d) 0 (e) -5 (f) -0.1 (g) -13\/106\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 7, -72\/5, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -387*v**2 - 8320*v - 11606. What is x(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*s + 5*s + 43*s**2 - 42*s**2 + (1 - 1 + 2*s)*(-5*s + 4*s + 5*s) + s**2 - 2*s**2 + 3*s**2 to the form m*s + h*s**2 + f and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 195\/(-20) - -10 - 0. Which is the closest to d? (a) 2 (b) 5 (c) 11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 17. Suppose 156*a + 4*i = 151*a + 58, -4*a = i - 64. Give f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, y: 2, i: 2}. What is prob of picking 2 i and 1 y?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*o**2 - 3 + 31*o + 29*o - 47*o**2 - 61*o in the form j*o + v + k*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -82*f - 2124. Let p be x(-26). Solve -3*k + 0*k = 3*b + 12, 0 = -k + 5*b + p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/740 and 35\/296?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -26*g - g. Factor 0*c + 4*c**g - 4\/3*c**2 + 0.\nAnswer: 4*c**2*(3*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let l(u) be the second derivative of -2 + 4*u**2 + 89*u - 1\/6*u**3. Calculate j(l(v)).\nAnswer: v - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(1\/6 + -1)*285\/475. Let 0*s + 0*s**4 + b - 2\/5*s**2 + 1\/5*s**5 - 3\/5*s**3 = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.2742+0.5\nAnswer: 21.7742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jismizq. What is prob of picking 1 s, 1 z, and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-19))\/(x*x**(4\/5)))\/((x**5\/x)\/x)**(-12) assuming x is positive.\nAnswer: x**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 0 + 0)*(-4*b**2 + 6*b**2 + 0*b**2) + 6*b**2 + 4*b**4 - b - 6*b**2 + (4*b - 5*b - 3*b)*(0*b**3 + 2*b**3 + 2*b**3).\nAnswer: -10*b**4 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 3*q**3 + q)*(-3*q - 20*q + 39*q) + 5*q**4 - 5*q**4 + 2*q**4.\nAnswer: -46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 - 2. Suppose 13 = 3*a - 2*z, 5*a - 51 = z - 5*z. Suppose -5*c - 22 + a = 0. Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 32 and 1.0891?\nAnswer: 30.9109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*u**3\/5 - 648*u**2\/5 - 45474*u\/5 + 91476 = 0. Calculate u.\nAnswer: -55, 9, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011721 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 6:18 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 = -4928*p + 4789*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 30?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3423 = 34*j + 703. Calculate the least common multiple of j and 25.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8339+90651934\nAnswer: 90643595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -60*t**4\/7 - 457659*t**3\/7 - 1669554*t**2\/7 + 777720*t\/7 + 548928\/7 = 0.\nAnswer: -7624, -4, -2\/5, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*v - 2161 = 8673 - 2814 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 11:24 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 908.\nAnswer: 1\/908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 202. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.1. Let v = -0.75 - 0.25. What is the nearest to v in p, 2, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:04 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 27*y + 881. List the prime factors of k(0).\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -1042.5.\nAnswer: -1042.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 89092?\nAnswer: -9\/89092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/32 - -17\/96. Suppose -36 = -6*p + 3*p. Let m = 7 - p. Which is the closest to -1\/4? (a) 0.5 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*9\/(-18)*-4. Suppose 4*i - 3*v - 5 = 5, -16 = -j*i - 4*v. Solve 4*k + 2*t = 12, 0 = i*k - 4*t - 0*t - 36 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96547792 to the nearest integer?\nAnswer: 9826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*h**2*p**2 - 7*h**2 - h*p**2 + 76*h - 3*p**2 + 26*p - 3 wrt p.\nAnswer: -6*h**2*p - 2*h*p - 6*p + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-119)\/(-133) + 3 + -1 + -3.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 575 times 1566\nAnswer: 900450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 160, 272, 348, 388, 392?\n\"Answer: -18*g**2 + 166*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3*k - 8, 3*i + 2*k + 8 = -5*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(2*k - 4*k + 3*k)*(-13*k**4 + 103 - 103).\nAnswer: -13*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 491.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/10 - y**4\/6 + y**3\/6 + y**2 + 10*y. What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7002 and 21.\nAnswer: 49014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, -5, -22, -3 in decreasing order.\nAnswer: 11, -3, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -31.2. Let j = 2.7 - -0.3. Let o = v + j. Sort o, 0.5, -0.3.\nAnswer: -0.3, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000010000 (base 2) to base 11.\nAnswer: -4275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14884.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111100011010000 (base 2) in base 15?\nAnswer: -13d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8 - 4. Let j(o) = -7*o**2 - t*o + 3*o + o**3 - 6*o. What is the units digit of j(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 402149 * -4.7\nAnswer: -1890100.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 13*y**2 + 17*y - 35. Let l(h) = -18*h**3 + 40*h**2 - 48*h + 105. Let w(n) = 7*f(n) + 2*l(n). What is w(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 192*h + 2*h**2 - 4 + 190*h to z + l*h + a*h**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20991 and 20991.\nAnswer: 20991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*h + 135 = 88*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10198851 to the nearest integer?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 276*x - 888. Give n(-63).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*m - 19, 5*t - 1559*m = -1562*m + 28. Solve 6*x - 3*x = -5*r + 29, 0 = 4*r - t*x - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2*c**3\/9 - 2*c**2\/3 + 2*c\/3 - 51. Factor k(q).\nAnswer: 2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8669 - 8667. Sort -2, 3\/5, s, 29, -2\/9.\nAnswer: -2, -2\/9, 3\/5, s, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 4*i + 2. Let z be v(-4). Let s be z + -3 + (-6)\/(-14). Let u = -139757 + 139754. Sort -2\/3, s, u, -0.1.\nAnswer: u, -2\/3, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654.167l in millilitres?\nAnswer: 3654167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:00 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*i + 3426 = 0, -1101*x + 1096*x = 5*i + 5730. Is x greater than -5758\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(10\/25)\/1. Sort -5, x, 21.\nAnswer: -5, x, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24840295 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11 = c, -4*c - z = -2*c - 43. Suppose 5*q = -0 + 25. Calculate the highest common divisor of q and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -9 + 0*a + 7\/3*a**3 + 2*a**2. Find the second derivative of r(t) wrt t.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/26)*h*h**(1\/2) assuming h is positive.\nAnswer: h**(18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 41. Suppose -15 - 10 = 5*o. Let p = z - o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (14 - 10 - 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 1. Let z(y) = 5*y + 4. Let l = -80 - -77. Give l*z(t) - 12*s(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(-14)*(((m*m**(-1\/7))\/m*m)\/m)\/m**(-1\/6))**(-9) assuming m is positive.\nAnswer: m**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 1159*j - 1157*j + 2, z - 5 = -j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208204 (base 12) to base 8.\nAnswer: 1747444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7*j - 11. Let o(f) = 22*f + 174. Let m be o(-8). Let i be k(m). Solve -2*r - 18 = q + i*q, 13 = -2*q - 5*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 2:30 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - -4.08. Let y(a) = -2*a**2 - 6*a - 1. Let g be y(-3). Put -0.1, g, z in descending order.\nAnswer: z, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 818 = 2*w, 3*w + 177 = a - 81. Calculate the remainder when a is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 11*p - 24. Let t be x(-13). What is the second derivative of 10*f + 23*f - 44*f**t + 44*f**2 + 17*f**4 wrt f?\nAnswer: 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(4)\/sqrt(2) + 2)**2 - -5*1*sqrt(2).\nAnswer: 12 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (261308\/6)\/((-16)\/(-18) + (-46)\/207).\nAnswer: 65327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 4*k**2 + 4*k + 2. Let j = 261 - 263. Determine d(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885945 equal to 885647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.14471 (c) 12 (d) 0.1 (e) -2\/7 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 500683 = -26302 - 2186072. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 168\/3 + -2 + -2. Suppose -3*h + 44 + v = 0. Let j = -12 + h. What is the lowest common multiple of j and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Suppose -3*p + 6 = 0, 1 + 3 = -2*z + 3*p. Calculate the remainder when z is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.4. Put 4, q, 2\/15, 2\/17 in ascending order.\nAnswer: q, 2\/17, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 128743*x. Let b(w) = 1672*w. What is -155*b(f) + 2*v(f)?\nAnswer: -1674*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 46 = 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 58985322 divided by -2486?\nAnswer: -23727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1142\/(-720) + -43*936\/(-25155).\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1662017 + 1662019. Solve -16\/9*x + 2\/9*x**q + 0 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/25 and -67\/1369780?\nAnswer: 6848900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*sqrt(136)*1 - sqrt(136))\/(3*sqrt(800)) - ((4 + sqrt(1088) + sqrt(1088) + sqrt(1088)*-1 + sqrt(1088))**2*-3 + 5)).\nAnswer: -13099 - 1919*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-300)\/33) + -4 - 822\/330?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716476409.\nAnswer: 2716476409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/32 - w**5\/10 + w**4\/32 + w**3\/4 - 3*w**2\/2 + 19. Let m(x) be the second derivative of o(x). Factor m(v).\nAnswer: 3*(v - 1)**2*(5*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*x - 0*k + 8, -2*x - 4 = -5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 219 in 4\/7, -6905, -0.12, -1\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + x - 1. Let t be w(2). Calculate the common denominator of -33\/8 and t + (-1 - 157\/(-14)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1213\/8 + -315\/2. Let u be 269270\/205 + 0 + -2. Let q = 1312 - u. Calculate the common denominator of c and q.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 6*l + 9. Let w = -1437 + 1438. Let u(s) be the first derivative of s + 1\/2*s**2 - 3. Determine w*a(g) - 6*u(g).\nAnswer: -g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3 minus 9.091?\nAnswer: -0.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 391489 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1005\nAnswer: -1\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -7052\nAnswer: -7757.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.011 - -6.389. What is d rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 234, 478, 700, 888, 1030, 1114, 1128?\n\"Answer: -2*f**3 + f**2 + 255*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22393555 and -169.\nAnswer: -22393724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*k - 4*k - 105, -t + 534 = 5*k. Calculate the remainder when 219 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g + 5*g + 0*g + 6. Let w = -8 + 3. Let c be o(w). Calculate the greatest common factor of 5 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 8:01 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**7\/70 + 3*s**6\/40 - s**5\/10 - s**2 - 4. Let u(z) be the second derivative of p(z). Factor u(n).\nAnswer: -3*n**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d + 11*d - 2*p = 1, 9*d + 5*p = 17 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 112111012?\nAnswer: 112111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1865577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19033200 - 19033200 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 5*z**3 - 7*z**2 + 2*z**3 - 1 + 5*z**3 + 4 in the form u + r*z**2 + g*z + j*z**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**3 + 2. Let q(w) = 12*w - 5*w - 10*w. Give q(g(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-2 - 16) - -31.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n + 5 = -2*i, -4*i = -n - 5. Let w be (3 - 2 - i) + (-9)\/(-6). Let f be (-1)\/(-10) + (-4)\/(-10). What is the closest to 2\/7 in -0.3, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455598 (base 13) in base 10?\nAnswer: -1639932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(44) - (sqrt(44) + 2*sqrt(44)))\/sqrt(4) - (sqrt(66)\/sqrt(3))\/sqrt(2)).\nAnswer: -3*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4580 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 3. Let m(a) = a**2 + a - 5. Let n be m(-4). Suppose -5*d - n = 3. What is the nearest to 0.1 in -0.5, u, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11)*k)\/k**(2\/9))**44 assuming k is positive.\nAnswer: k**(-4048\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -83, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*h = 2*w - 23495, 0 = 3*w - 2*h - 14119. List the prime factors of w.\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -4*n - 178. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose m*s - 22 = -s. What is the smallest common multiple of s and (8 + -2)*11\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27510.084 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22053 - 2?\nAnswer: -22055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 973369.3ug in grams?\nAnswer: 0.9733693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 1972 = -76*k - 7*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 12) in base 7?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 40*m. Let g(h) = -5396*h. Give g(q(p)).\nAnswer: 5396*p**2 - 215840*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/87, -1 in ascending order.\nAnswer: -1, -2\/87, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 60. Suppose -10 = -5*o, 2*o + 389 - 73 = 4*l. What is the highest common factor of b and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 848723\nAnswer: -84872.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 133 = g, -4*y = g - 7*y + 134. Let x = -125 - g. Let v(m) = -2*m - 1. Determine v(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-154)\/28 + 1\/2. Let f(t) = -2*t - 6. Let w(v) = -12 + v - 4*v + 1 + 0*v. Suppose 3*o = 12, 4*r + o = -0*o + 16. Calculate i*f(n) + r*w(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5836, 6069, 6696, 7915, 9924?\n\"Answer: 33*l**3 - l**2 + 5*l + 5799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((2655\/(-21))\/15)\/((-7)\/(343\/21))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -5\/72, -0.45085?\nAnswer: -5\/72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26506*g - 3136*g**2 - 26506*g to b + t*g**2 + n*g and give t.\nAnswer: -3136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u + 31 = -10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:44 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, -0.1, 9\/7, -15?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-15) + (-52)\/(-20). What is the highest common divisor of 8 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.38358 and 28527505.\nAnswer: 28527505.38358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-17)\/391 - (-25)\/46. What is the third smallest value in 1\/275, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 0*q**2 + 0*q**5 + 1\/3*q**3 + 2 + 0*q**6 + 0*q**4 - 3\/7*q**7 + 0*q. What is the third derivative of c(m) wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68882 - 364?\nAnswer: -70356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15034 or 15035?\nAnswer: 15034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:03 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from {p: 6, w: 1, o: 11}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a - n, n - 4 = -a + 3. Suppose -3*c + a = -2*c. Find the second derivative of 3*m**c - m + 5*m - 5*m wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730024 is divided by 1759.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 205. List the prime factors of m.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -492*s + 78. Let y be b(-2). Let z(i) = i**3 - i**2 + 9*i - 10. Let w be z(7). Let r = w + y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5) + 0)*-2.\nAnswer: -2*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*b + 0*b**2 - b**2 + 5*b**2 - 3*b**2 in the form g*b + w + s*b**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3064 = -4*v + 3076, 3*x = -v - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Let o be -1 + 1055\/875 - ((-10)\/(-7))\/5. Which is the closest to -0.2? (a) o (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755953 is divided by 785?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 13*b**2 - 68*b**2 + 71*b**2 + b + 49*b**2.\nAnswer: 4*b**3 + 65*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 743477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {q: 13, t: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 5*o. Let h be v(7). Let y(d) = 2*d**2 + d + 1. Let g be y(-1). Solve -g*i + 3*i - 2 = 2*w, 5*i + h = 2*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-10 - (-1 - (10 - (2 + 0))))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3516665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304571, 304662, 304817, 305036, 305319?\nAnswer: 305666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6*t - 144. Let c be (t\/(-2))\/(-9) - 3*-2. Suppose -4*d = x - c*d - 7, -7 = -2*x - d. Solve 2*r - 24 = -x*p, 0 = 5*r + 3*p - 6 - 26 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 divided by 2?\nAnswer: -185\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 11*m - 5. Let t be (-174)\/(-9)*(m + 7\/(-2)). Solve -x - 2*x - t = 5*p, 21 = -3*p - 3*x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 15) to base 9\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186819410.\nAnswer: 2, 5, 73, 255917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 35 = -3*j, n + 2*j - 4 = 3. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 128 = 144. Let h = -18 + u. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1956*u**5 + u**4 - 73537*u**3 - 189265*u**2 + 3*u + 50 wrt u.\nAnswer: -117360*u**2 + 24*u - 441222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22404 - -410?\nAnswer: -21444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -1\/15*p**3 + 1\/120*p**4 + 0 + 1\/300*p**5 - 2*p**2 + 21*p. Let x(i) be the first derivative of f(i). Factor x(d).\nAnswer: (d - 1)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -25, -3, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2*t**4 - 7708*l**2 + 47*l*t**2 - 25*l - 3155*t + 9 wrt t?\nAnswer: 4*l**2*t**3 + 94*l*t - 3155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 greater than 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 79 = 3*l - 6*l, -3*l = 4*t - 149. Suppose -40*b + t*b + 10 = 0. Solve 3*u = 5*u + v + b, -2*u - 6 = 3*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1145622 is divided by 2178.\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**3*o*w**2 - 2*g**3*w**3 - 375*g**3*w + 67*g**2*o*w**3 - g**2*w**2 wrt o.\nAnswer: 3*g**3*w**2 + 67*g**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196131573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33033 and 0.3?\nAnswer: 33033.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*i + 51*i + 2026. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/140)\/((3\/54)\/((-364)\/4914)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.36 - 4.64. Let b(y) = -y**3 - 5*y**2 + 6*y - 2. Let m be b(-6). What is the third biggest value in u, m, 16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k + 11*k + 814 = 43*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g + 34*g - 3*k + 10 = 0, 8 = 2*g + 5*k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1539) + -1)*4 + (sqrt(19) - 1*sqrt(684)) + 2 + 2 + sqrt(19) + sqrt(19))*-4.\nAnswer: -564*sqrt(19) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 2*i**2 - 2*i - 3. Let v be y(-3). Suppose 2*o = -j + 33, 0*j + 24 = o - 2*j. What is the greatest common divisor of v and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 - -121. Suppose -3*p = 2*p - j. Suppose 5*v + 56 = p*v. What is the remainder when 41 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 5*n - 7*n)*(-4 + 2 + 1) + 3*n + 3*n - 5*n + (-2 + 0 + 1)*(-1 + 1 - 2*n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 0\/14 + (12 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + 2. Let v be (3570\/(-1155))\/((-2)\/11). Let a = b - v. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + -8 + (20 - -23)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 10) to base 7.\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1718477919 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b + 195. Suppose -13*p + 73 = -10*p + 5*j, -4*p + b = -5*j. Calculate the highest common factor of p and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -54 in -1\/9, 5.63, 1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124635437 to the nearest integer?\nAnswer: 11164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + (-1834)\/(-168))*-15. Which is the fourth smallest value? (a) g (b) -4 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -24*11\/(-44) - 127\/9. Let v = -7163681 + 2772341426\/387. Let f = s - v. Is f less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.55 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:55 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*g*m*n**3 + 2082*g*m*n**2 + 10261*g - 2*m*n + 3*n**3 wrt m?\nAnswer: -13*g*n**3 + 2082*g*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x + 46*x**3 + 3*x**2 - 23*x**3 - 20*x**3.\nAnswer: 3*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:39 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20620, 20614, 20604, 20590, 20572, 20550, 20524?\nAnswer: 20494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 9*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 34*u + 56. Let z be b(-21). Suppose 3*w = 4*m - 871, 0 = m - 2*w - 0*w - z. Let v = m - 16. Is 28 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 1. Let z be b(-2). Let n(w) = 3*w - 4*w - 4 + 13. Let k be n(z). Solve -q + k = -h, -2*h - 6*q - 4 = -q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6744273*j**4 + 20541717*j**3 - 931410*j**2 + 14172*j - 72.\nAnswer: -3*(j - 3)*(131*j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 take away -28?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + 294\/(-35) - -4. Let b be 2 - -1 - 10\/(20\/w). Solve 3*z + b = 3*i - 10, 0 = 3*z - 4*i + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040416671 rounded to 5 decimal places?\nAnswer: -0.04042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 168577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 33*d + 118. What is c(-7)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -568*r**3*y**2 + 916370924*r**3 + 57536*r*y**3 wrt y.\nAnswer: -1136*r**3*y + 172608*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(-20)*(d**(-11)*d)**(-37) assuming d is positive.\nAnswer: d**(2550\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 21. Suppose d - 183 = k*d. Let y = -28 - d. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/((((p*p\/p**24*p)\/p*p)\/p)\/p))\/(p**15*p*p))\/((p\/p**40)\/(p*(p**(-24)\/p)\/p*p)))**(1\/3) assuming p is positive.\nAnswer: p**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(0 - (0 - -2)). Let a be (t - 1)*1 - -5. What is the first derivative of 11*m**a - 2 + 4*m**3 - 9 - 16*m**3 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*d + 3*f + 9 = -63*d, 0 = -21*d - 5*f - 63 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, m: 2}. What is prob of sequence mla?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m**3 - 4695*m**2 - 42988 with respect to m.\nAnswer: -18*m**2 - 9390*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03318 - -55780233298.\nAnswer: 55780233298.03318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53970 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 2*d + 0*d)*(4*d - d - d) - 3*d**2 + d - d + d**2 - 5*d**2 + d**2 to the form l*d**2 + o*d + f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -171, -325, -479, -633, -787, -941?\n\"Answer: -154*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010669565752 rounded to seven dps?\nAnswer: -0.0001067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 2, o: 2, x: 8}. What is prob of sequence oxo?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 5*w = -6*k - 37, 2*w = 10. Suppose -40 = -k*i - 2*i. Let h be 6 + i\/((-8)\/3). Solve -h*m = 8 + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlzpnlb. Give prob of sequence bp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = n. Let q = n - -2. Is ((-1)\/(-3))\/(q\/39) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001155154 to seven decimal places.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -1, 3, -3, 6 in descending order.\nAnswer: 6, 3, -0.16, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -37. Let q be (-76)\/(-13) + p\/117. Let r = q - 19\/3. Put -11, r, 0 in ascending order.\nAnswer: -11, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**3 - 4 + 3 + 4*i**3)*(-5*i + 0*i - 17 + 3*i) as a + k*i**2 + j*i + f*i**4 + h*i**3 and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13 (b) -16\/7 (c) 0.4 (d) -1\/4 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/81, 73\/8, -0.1, -3, 0.3 in increasing order.\nAnswer: -3, -13\/81, -0.1, 0.3, 73\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 137*c**5\/5 + 110*c**3 - 156. Find the third derivative of m(k) wrt k.\nAnswer: 3288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -888*l**2 - 13*l - 5. Let s(d) = 5*d**2 - 6*d + 7. Let m be s(2). Let i be b(m). Let y be (-22)\/(-8)*42*i. What is y rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 26 + 16 = 0. Let x(h) = 6 + 3*h**3 + 8 - 4*h**3. Let p be x(0). What is the greatest common divisor of p and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1018934)\/(-160517)*(-23)\/6?\nAnswer: -73\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 111*i**4 - 2423*i**2 - 273980720?\nAnswer: 444*i**3 - 4846*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95964*t + 95941*t + 714656 = 0. Which is smaller: t or 31073?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 4. Let y(a) = 3*a**2 - 2*a - 1. Let x be y(f). Suppose x*n - 31 = 5. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16561901 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 7\/(-5))*-40. Solve -1 - 1 = 2*w - 2*z, -u = -5*w - 2*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 18*h + 90. What is the remainder when 468 is divided by v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(7 + 25\/(-5)). Suppose 3*h = 2 + 1. Sort -3, h, v in descending order.\nAnswer: h, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 488448 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353560 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -2*(4 + 16). Let b be (-12)\/114 + 43704\/g. Suppose 0*a + b = 10*a. What is the remainder when a is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54 - 8 - (-2 - -6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -14*10\/(-7)*2\/8. Suppose -k*u - 2*s + 5140 = 1462, u - 4*s - 740 = 0. Calculate the greatest common divisor of u and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is 81 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 2679*w**3 + 8004*w**2 - 64196*w + 74928.\nAnswer: (w - 2)**2*(w + 7)*(w + 2676)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 52, 109, 166, 223, 280?\n\"Answer: 57*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -80*h + 482. Let q be z(6). Calculate the highest common divisor of 390 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/24)\/((-99)\/2244))\/((3\/1)\/1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110121211020 (base 3) to base 14\nAnswer: -66792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -13. Let g(t) = 2*t**2 - t - 1. Calculate the smallest common multiple of v and g(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/462)\/((-25)\/(-25)).\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.12 - 5.92. Which is the third biggest value? (a) l (b) -2\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 21494, 0.2.\nAnswer: -0.03, 0.2, 21494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4519*k**4 + 79*k + 29.\nAnswer: 54228*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -42*v - 4251. Calculate the remainder when g(-122) is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618352.\nAnswer: 2, 7, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -18*r - 18. Let g(a) = -35*a - 10900. Calculate g(s(u)).\nAnswer: 630*u - 10270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 796724166 divided by 2825263\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 10*o**2 + 29*o - 50. Let s be n(12). Let q(i) = -i**3 + 3*i**2 + 70*i + 4. Let a be q(s). Sort 3, a, -1 in decreasing order.\nAnswer: a, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(-6*(sqrt(5) + -1*sqrt(5) + sqrt(5)) + sqrt(5) + sqrt(5) - sqrt(5))*-6 - ((sqrt(720) + 0 + -2 - sqrt(720)) + -3))**2.\nAnswer: 900*sqrt(5) + 40529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a + 28. Let w be i(0). What is the greatest common divisor of w and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-20)\/(-320)*-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -23 - (-1 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 8*f**2 - 9*f - 1. Let l be j(9). Let o = l - -5. What is the fourth smallest value in -2, -2\/9, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720 (base 8) to base 14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/80)\/(2\/(-933)*3). Let b = z + 127\/8. What is the common denominator of b and -99\/52?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j)**(-2\/43)*(j**(1\/4))**(-5)*((j**1\/j)**(14\/3))**(2\/87) assuming j is positive.\nAnswer: j**(-207\/172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 80 + 18 = 8*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -115.53 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:36 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.79287 years to millennia.\nAnswer: 0.09279287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*w - 2. Suppose -3*s + 5*r + 222 = 0, -w*s - 2*r = -46 - 102. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a centimeter in millimeters?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*u + 41496 = 187*u. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13080520 by 654026.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7594 is divided by 317?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -762595.\nAnswer: 3\/762595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11722 + -0.006.\nAnswer: -0.12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -0.4, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.5, -35, -333, 2\/11 in decreasing order.\nAnswer: 3.5, 2\/11, -35, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k - 2 = 14*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9330*t + 28336 = 9652*t for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110000100111000 - 10?\nAnswer: -1110110000100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 473*p**2 + 46032*p + 229. Give z(-137).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910705 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642477 divided by -5?\nAnswer: -1642477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44d - 4?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s + 2. Let p(g) = g**3 + 9*g**2 - g - 9. Let b be p(-9). Suppose b = d - 3*d - 4*r + 6, -4*r = 3*d - 3. Is y(d) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 13*l - 19. Let h be d(10). Suppose 0*c = 3*c - 111. Let m = h + c. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-3 - (0 - (-1 + 1))) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -1101210*s**2 - 8591*s - 17182. Let f(o) = -769*o**2 - 6*o - 12. Calculate 8591*f(g) - 6*x(g).\nAnswer: 781*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*((-113*i - 89*i - 251*i)*(-2 + 3 + 0) + i - 2*i - i).\nAnswer: 455*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4\/7 + 304*c**3\/7 + 13340*c**2\/7 + 122816*c\/7 - 19494 = 0?\nAnswer: -19, 1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68663174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 3. Let b = 5 - 3. What are the prime factors of a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y**2. Let d(h) = 3*h - 8 + 8 + 3*h. Give r(d(s)).\nAnswer: 504*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -280, -283, -286, -289, -292?\n\"Answer: -3*y - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1355 is divided by 371?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178.983 - 179. Let k = l - -0.217. Which is the closest to -2? (a) -1 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-27)*-3)\/((-4)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3384 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-79)\/(-474) + ((-1)\/(-6))\/(3\/105). Let q(z) = -3*z - 4. Let l(t) = -2*t - 3. What is i*l(g) - 5*q(g)?\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x**3 - 2*x**2 - 6*x + 19. Suppose -2*w - 75 = 3*w. Let y be h(w). Suppose y - 92359 = 8*p. Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from pmammmaawpmmmptawpl?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 40?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28955 is divided by 95?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4814976 is divided by 225.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 391796633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -192, -209, -244, -303?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (7 + (18 + -16 - 19))) + -50\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**2 + 120*w - 456*w + 65*w - 265*w - 18*w**2 in the form j + s*w + q*w**2 and give s.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 127*n**3\/3 + 1. Let m(j) be the third derivative of -j**4\/24 + 8*j**2 - 2*j + 2009. Give u(m(z)).\nAnswer: 127*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 4*w + 434. Suppose w*f - 9*f - 79 = 2*r, -f + 2*r = -11. Solve -3*g + 4*q = -12, 5*q - 1 = 4*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491, -702, -679, -422, 69, 794?\nAnswer: 1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 28 = 2*z - 3*a, z + 19 = a. Let v be z - -19 - 46\/(-10). What is the closest to 0.25 in v, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 4*d**2 - 5*d**2 + 4*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(10\/(-12)))\/(39 - 45). Suppose h + 5*s = 70, 2*s + 166 + 158 = 4*h. Sort h, c, 0, -4.\nAnswer: -4, 0, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -104, 60, 224, 394, 576, 776?\n\"Answer: k**3 - 6*k**2 + 175*k - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y\/(y**2*y))*y*y*y)**(-34))**43\/((y*y**1*y)**8\/((y*y**(-2))\/y**9)) assuming y is positive.\nAnswer: y**(-11730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -89.\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -5\/2*t**2 + 0 - 4\/3*t**3 + 24*t. Differentiate y(v) with respect to v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 749*f + 15736. Calculate i(-20).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/7844540 and -43\/4.\nAnswer: 7844540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 106. Let q = -60 + j. Let f be (-2)\/8 - 6\/8. Which is the closest to q? (a) -3\/5 (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 7 - 5 - 7 - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 3, -2\/29, 2\/5, -0.2 in descending order.\nAnswer: 3, 2\/5, -2\/29, -0.2, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6586 and 1184.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8867 is divided by 8861.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -73, -149, -255?\n\"Answer: -15*b**2 - b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -168*z**2. Let a(o) = 14 - 2992*o - 6 - 8 + 2996*o. What is n(a(r))?\nAnswer: -2688*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120 - 2110201?\nAnswer: -2112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 - 4 = 0, 0 = -4*b - 3*n + 21. Suppose 0 = -i - b*u + 83, -5*i + 3*u + 94 + 357 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -735265163 - -1358885163. Round x to the nearest one million.\nAnswer: 624000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603588275 a multiple of 2505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650426 and 336.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 11. Let w be b(-7). Suppose -3*z = -w*p + 51, -11 - 6 = -p + 3*z. What is the remainder when 33 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - a + 5. Let k be f(0). Suppose 4*i + 3*h = 2256 - 294, -3*i + 1457 = -k*h. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 10 = h. Suppose 0 = h*d + 12 - 118. What is the remainder when d is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -55, 3\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 97. Solve 3*c - 5*c = -y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 873.5629 - -5\nAnswer: 878.5629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1203 and 6416.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5\/(r*(r**(1\/3)\/r)\/r)*r\/r**(1\/20)*(r\/(r**(-2\/55)*r)*r)\/r assuming r is positive.\nAnswer: r**(4391\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-412*f**2 - 350*f**2 + 119*f**2)*(-2 - 3 + 4)*(0*f**2 - 3*f**2 + 6*f**2) as o*f**3 + y*f**4 + t + p*f**2 + d*f and give y.\nAnswer: 1929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 - 181. Find the second derivative of 14*o**2 - 4*o - l*o**2 - 25*o**2 + 6 wrt o.\nAnswer: -220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - 40\/((-160)\/84)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 2*z, -5*z + 4 + 6 = 0. Solve 0 = g*f - 3*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 8:53 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/12 + (-21)\/6. Let v(t) = 6*t**2 - t + 12. Let n be v(p). Which is smaller: n or 113?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u - 36. Let t be l(-7). Suppose -5*m + 14*n - 13*n = -t, 4*n - 20 = -5*m. Solve -3*w - 2*z = 3 + 3, 5*w = -m*z - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3222991?\nAnswer: 3222991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 697*k**2\/4 + 2073*k\/4 - 135\/2 = 0 for k.\nAnswer: -3, 1\/8, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1083 + 13?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 - 135. Is x a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -52*i**2 - 2*i - 25. Let r be b(-7). What is r rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, 1, 5, 11 in decreasing order.\nAnswer: 22, 11, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261843 * -13.\nAnswer: 3403959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39401316 divided by 2?\nAnswer: 19700658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4388962 to the nearest integer?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a - 3. Let p be (-1)\/((0 - 1)\/2). Find z such that -z**2 - z**4 + z**p + 3*z**a - 2*z**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g - 6 + 5 - 1 - 19*g.\nAnswer: -25*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.6744 + 0.3256. Which is the biggest value? (a) -4 (b) -5 (c) j (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195564129.\nAnswer: 3, 37, 43, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Suppose 4*l - 3*l = y, -4*x + 10 = 2*l. Let k(s) be the second derivative of -s**3\/3 + s. Let b(r) = -r. Determine x*k(p) - 3*b(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**4 + h**2 - 1. Let g(x) = -4*x**4 - 5*x**2 + 2. Let n(m) = g(m) + 5*i(m). What is the first derivative of n(j) wrt j?\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 4*c**2 - 3*c + 4. Suppose 0 = -9*v + 10 - 37. Let h be (-4)\/v*(-60)\/20. Determine n(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14169067 and 72980?\nAnswer: 3649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**3\/3 + 4*l**2 + 11*l + 18. Let d be c(9). Let h(k) = k**2 - 4*k + 2*k**3 + 0*k**3 - k**3 + d*k**2. What is h(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 361 divide 125083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.833 + -4.533. Let a = -2035\/3 - -10013\/15. Let m = 211\/20 + a. Are j and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + 4*y - y)*(-9*y + 163*y + 3*y)*(30*y - 73*y + 37*y) in the form h*y + w*y**2 + c*y**3 + g and give c.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 - 17692*u**4 - 1463227*u**3 - 29581356*u**2 + 31062276*u = 0?\nAnswer: -17609, -42, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20390463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.2070643 minutes?\nAnswer: 12423858000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*l = -3. Suppose l*w + 34 = 5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8895 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 104 * -286143\nAnswer: -29758872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 5, -18, 6 in increasing order.\nAnswer: -18, -4, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i - 6. Let j be k(-12). Suppose -2 = 8*t - j. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.54 and 12.3.\nAnswer: 12.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*(16\/30)\/(-2)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141\/18 + 160\/1728*-9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-57500)\/2622)\/(-125)*-3\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4323 - -21486\/5. Let h = 136\/5 + u. Is 2 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(96)\/sqrt(3) + sqrt(32) - sqrt(32))**2 + sqrt(32).\nAnswer: 4*sqrt(2) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m - 2. Suppose 0 = -0*v - 2*v + 3*o + 242, -5*o - 10 = 0. Suppose 4*g = -5*j - v, -1 - 1 = -j. Let x = g - -34. What is t(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u + 2. Let t be l(2). Solve -i = -t*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 6*r + 3. Let n be m(6). Let f(a) = 3*a**3 + 60*a**2 - 202*a + 110. Let h be f(-23). Sort 144, n, h in descending order.\nAnswer: 144, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.59 + -0.19. Let w = z - 0.4. Let v be (1\/(-3))\/(4\/3). Which is the second biggest value? (a) 0.2 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -ba4cb?\nAnswer: ba4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + i + 1. Let m be ((-5)\/((-30)\/4))\/(16\/24). Let o(r) = 3*r**2 - 11*r + 11. Let l(q) = m*o(q) + 2*w(q). List the prime factors of l(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -480 + 528. Calculate the remainder when c is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 234?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270468212?\nAnswer: 2, 7, 73, 113, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.27, 4\/3 in ascending order.\nAnswer: -1\/4, 0.27, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 41*c**6\/10 + 3*c**5\/2 - 5*c**4\/24 - 200*c**2 + 2*c. What is the third derivative of p(j) wrt j?\nAnswer: 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 250 - 249. What is the nearest to v in 17\/2, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y = -146*y - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -10\/5247 (c) 2\/213 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 175 - -a3?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 1. Let f be l(1). Let k(u) = u**2 + u + 6. Let z be k(0). Calculate the lowest common multiple of (f - 7)*z\/(-7) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10210 (base 4) to base 10\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4, 8, 5\/4, 0, -9\/2 in ascending order.\nAnswer: -9\/2, -2\/7, 0, 5\/4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2509 by 54.\nAnswer: -2509\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -81694?\nAnswer: -5\/81694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 32 - 61 - 2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2566198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 192182 + -326782. Round j to the nearest one thousand.\nAnswer: -135000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4179, 16641, 37389, 66423?\nAnswer: 103743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 22 - 6*v - 20*v - 18*v - 3*v. Let p be k(24). Solve -4*r - 17 = -5*b, 7*r = 2*r + p*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4 - 14*j**3\/3 - 491*j + 697. Find the first derivative of z(i) wrt i.\nAnswer: -12*i**2 - 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0805 - -3.8195. Which is smaller: x or 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -2, -7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107757 rounded to four dps?\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 33. Suppose 3*f = -3*g + x, -f + 4*g + 13 = 2*g. Solve -n - 2*j = -f + 2, 0 = 4*n + 4*j - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.1 + 7. Let r = -0.7 + 2.4. Let g = r + -2. Which is the nearest to p? (a) g (b) 3\/8 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 58 = -31*w. Let a(b) = b**2 + b + 16. Let i be a(0). Let v be (2\/(-4))\/((-2)\/i). Solve -6 - w = -v*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 9 - (-2 - 5)) + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.599696 months to decades.\nAnswer: 0.1633308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -76*l - 4. What are the prime factors of s(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y. Let v be u(3). Let h = 8 + v. Let k(n) = -3 - 5 - 3 + 14 + n. Give k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421293 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/20 - d**4\/4 - 10*d. What is the third derivative of a(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279816181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3007.873 millennia to months.\nAnswer: 36094476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*g**2\/11 + 3762142*g\/11 + 716600\/11 = 0. What is g?\nAnswer: -4\/21, 89575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221 + -2451?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3185 and 82355.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1862) - sqrt(1862))\/(sqrt(4)\/(sqrt(8)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78.204 - -78. Let f = -0.03381 + -0.16822. Let u = f - q. What is u rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -4 (c) 6 (d) -0.99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -2\/40223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000959 to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/2? (a) 1\/22 (b) -1\/4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1087 bigger than 251.585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 10*a**2 - 5*a - 12. List the prime factors of h(14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1729*c - 19 + 554*c + 40 - 21 as o + s*c and give s.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 26*o**2 + o + 281. Let t(p) = -11*p**2 - 141. What is 5*t(d) + 2*x(d)?\nAnswer: -3*d**2 + 2*d - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + 3.9. Sort 0.5, -1, 0.2, u in increasing order.\nAnswer: -1, 0.2, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 483.418764 to one decimal place.\nAnswer: 483.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m = 0. Solve d = -1 - m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119565 and 10628?\nAnswer: 478260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10639 - -27565. Suppose 4*x = -2*g + 23762, x - y = -g - 5043. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/102759 and 56\/11.\nAnswer: 1130349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 166700567*h**3 + 119968512*h**2 wrt h?\nAnswer: 1000203402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/30*(-2)\/(-8)*-6*(-2160)\/60\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ambb when four letters picked without replacement from amababambaaa?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/780 + 4*y**5\/195 + y**4\/13 - 48*y**3\/13 + 2*y**2 + 4*y. Suppose t(r) = 0. What is r?\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0*r - r - 2*r - 3*r + 3*r + (-3 + 1 - 1)*(0*r + 0*r + r) + 10*r - 6*r - 6 - 9*r.\nAnswer: -9*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/112)\/((-12)\/4)*(120\/(-9))\/2\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b + 1. Let d(x) = -9*x + 1. Let j = 339 + -336. Suppose -5*f = -2*s - 26 + 24, j*s = 4*f - 10. What is s*d(i) + 5*v(i)?\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 2 + 2 + (-74*w + 26*w + 26*w + 11)*(1 + 1 - 1) as z + u*w and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45846223 divided by -5?\nAnswer: -45846223\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1915220257, 1915220256, 1915220255?\nAnswer: 1915220254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 - 4*f + 3. Let m be y(4). Suppose m*q - 13 = 47. Let u = 31 - q. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwcly. What is prob of picking 1 n and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -102. Suppose 5*n - 6 - 14 = 0. Solve -n*y + 2 = -18, -r*y = u - 28 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - 1.94. Let l = f - 0.56. Let x = 5 + -4.7. Put l, 2\/7, x in decreasing order.\nAnswer: x, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:03 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -148, -343, -616, -967, -1396, -1903?\nAnswer: -2488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 314*o - 311*o + 42 = 0, 0 = -4*a - o + 76. Let p be (-4)\/(-3) - 1\/3. Let k(q) = 8*q**2. Calculate the smallest common multiple of a and k(p).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -7, -461812 in increasing order.\nAnswer: -461812, -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*u - 4 = 0, 0*s = s - 2*u - 8. Let x(j) = -j**2 - 7*j + 11. Let y be x(-8). Suppose -y*w + 19 = s. Sort 1\/5, w, -2\/7 in decreasing order.\nAnswer: w, 1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/7 and -141\/21910.\nAnswer: 21910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -506.2 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 26 = -4*l + 4, 4*l + 20 = 4*w. Let t = 345 - 345.1. Which is the closest to t? (a) 5 (b) l (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 2:15 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29616023 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*z**6 + 3*z**2 + 13*z**2 - 3*z**2 wrt z?\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60074 (base 11) to base 3\nAnswer: 11110121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 2414.336 litres in millilitres?\nAnswer: 2414336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {s: 2, d: 4, b: 8}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d = -4*s - 7088, 4*d + 4*s = 7072. List the prime factors of d.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + w + 15, 3 = w. Solve -s + o = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:26 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 707418, 2829709, 6366870, 11318901, 17685802?\nAnswer: 25467573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**3\/3 + 3*q**2\/2 - 103*q - 58. What is the remainder when z(-13) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 13 - -12) + -2 + -13 - -7\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 973*c**4 - 11*c**2 - 973*c**4 + 4*c**5 + 0*c**2 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**6\/6 - 2*z**5\/5 + 2*z**3\/3 - z**2\/2 - 4. Let i(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10*n**3 + 6*n**2 - 6*n + 6. Let c(g) = 9*g**3 - 5*g**2 + 5*g - 5. Determine 6*c(x) + 5*f(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**3 - 9*v**3 - 19*v**2 + 19*v**2 + 7*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 102*r**2 + 103*r + 691. Give k(-103).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-10)*(-10)\/3. Suppose 19 = -d*q + 59. Solve -2 = -2*x - q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -1.\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 0 - (4 + -6). Suppose -t - 54 = -p*m - 2*t, 0 = -5*t + 20. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330472871 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 72, 89, 106?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*v + 2*m, 0 = -m + 5*m - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/((-12)\/6))\/(4\/(-1)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l + 15*l + 9*l - 36*l.\nAnswer: -45*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*x - 490 + 1227 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4762*z**2 + 186*z - 550. Let v be i(3). What is v rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/249407 and -31\/31931.\nAnswer: 9228059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/15 + 5)\/((12760\/(-33))\/(-58))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -7*f**6\/30 + f**5\/60 - 5*f**4\/8 + 64*f**2. What is the second derivative of n(x) wrt x?\nAnswer: -168*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1054 = -2*j, 5*j + 2*m - 653 = 1982. Let y = -363 + j. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - 65 = 0. Suppose 5*f + 5*v + j = 98, 3*f - 4*v = 16. Suppose -4*p - 10 = -u, -f = -5*u - 3*p - 31. Which is bigger: u or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n - 4. Give o(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*i + 428 - 1064 = 491 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233288, -471493, -709688, -947867, -1186024, -1424153, -1662248?\nAnswer: -1900303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259037*o = 255225*o - 3812 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3775, 3\/7, -1, 4, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 828154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a factor of 22710985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 22200*w**5 + 12400520*w**4 + 1735281318*w**3 + 1006686648*w**2 + 136824390*w - 2802276 = 0?\nAnswer: -279, -3\/10, 2\/111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 3:11 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyto when four letters picked without replacement from {f: 5, u: 1, y: 2, t: 2, c: 1, o: 5}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10977\/2330 + 44\/233. Suppose 4*j - 5 = -j. Find the common denominator of k and j - (102\/20 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 23*v**2 + 150038*v - 2999543. Determine l(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ab4 - 0?\nAnswer: 1ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -705243 divided by 33583?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-24)*2*(-12)\/18. Which is the fourth biggest value? (a) r (b) 4\/5 (c) -2 (d) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-280) - (-57)\/(-152))\/(2\/15)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -33 and -0.02324.\nAnswer: 0.76692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-12))\/(1755\/39780)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110000 + 1110?\nAnswer: -1111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b - 3. Let x(c) = -c**3 - 4*c**2 + 4*c - 3. Let w be x(-4). Let n = b - w. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/351 and (-27)\/(-18) + 2\/(-144)*-82.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*b + 16 = 0, 4 = g - 3*g + 4*b. Suppose -3*j + 6 = -2*s, -j + 21 = 5*s + 2. Suppose g*w = -s*w - 25. Is w at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -5*i + w - 8*w - 106, -6*i - 2*w - 46 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5027204\/924 - (-2)\/(-6). Let m = n + -837895\/154. What is the common denominator of 141\/70 and m?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/((-15)\/(-270))*-7. Suppose 5*y - g*o - 3089 = -38*o, 3101 = 5*y - o. What is the highest common divisor of 27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20473, -40982, -61491?\nAnswer: -82000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l - 1. Let f(q) = -2*q - 21093 + 21093. Determine w(f(j)).\nAnswer: -22*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*w + 613 wrt w?\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 60*p**2 + 158*p - 4754. Give k(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(125) + 3*3*sqrt(125).\nAnswer: -1 + 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((-14 - (8 - 4)) + 5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:05 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 + -2 - 1) + -280 + 270.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.34608236 + 15.19809. Let g = -0.148 - h. What is g rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11, 2, -5, 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 o, and 1 f when four letters picked without replacement from oyfooyco?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c + -240b?\nAnswer: -2437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -45*v - 2650. Let h be f(-59). Let u = -2 - 0. Let d be (5\/h)\/(u\/10). Which is bigger: -7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - n**2 + 78*n**3 + 3 - 77*n**3 + 0*n**2. Let q be h(2). Suppose -q*g + g = -288. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (422 - 1271 + 429 + 420 - 3104*w)*(-6*w**2 + 4*w**2 + 3*w**2) as g*w**2 + j + b*w**3 + y*w and give b.\nAnswer: -3104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/(10 + -7). Let b be -1 + 2 - (-1)\/6*3. Let h = -2 + 4. What is the nearest to h in 1\/2, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3123223 (base 4) to base 10.\nAnswer: 14059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 169227*u**2 - 2708208*u + 10833600.\nAnswer: 3*(u - 8)**2*(u + 56425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - 952*c + 10921. Determine x(226).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmw when three letters picked without replacement from {g: 3, d: 1, w: 1, t: 1, m: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1036675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27833, -27455, -27077, -26699, -26321?\nAnswer: -25943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 2251.\nAnswer: 59\/2251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 82112*x + 51585 wrt x?\nAnswer: 82112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -58077?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**4\/66 + 5*v**3\/33 + 6*v**2\/11 + 7*v. Factor b(d).\nAnswer: -2*(d - 6)*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtt when three letters picked without replacement from {t: 5, v: 3, m: 1, x: 2, i: 6, g: 2}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*r**2 - 36*r**2 + 65*r**2)*(-r - r + 3*r) + (-2*r + r - r)*(0*r**2 + 0*r**2 - r**2) + 4*r**3 - 4*r**3 + 2*r**3.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 21*j - 3 + 11*j**2 - 4*j**2 - 6*j**3 - 24*j + 5*j**3. Let f be k(3). Let b = 26 - f. Solve 0 = -b*c - 0 + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 390, 780, 1182, 1602, 2046, 2520, 3030, 3582?\nAnswer: 4182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2. Let d(l) = 47418606*l**2. Calculate d(n(i)).\nAnswer: 1707069816*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.866 times -0.2?\nAnswer: -0.1732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3576 - 3575.546. Which is smaller: 0.05 or y?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c - 1. Let q = -5 + c. Solve f = q - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 7*i - 4*b - 15, 0 = 5*i + b + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmemem?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 49*x + 1. List the prime factors of c(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17713?\nAnswer: 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {g: 7, d: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*r - r + 104 = -7*t, -104*t + 44 = -108*t + 8*r for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 594*r**2 + 117612*r + 7762392.\nAnswer: (r + 198)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 9:20 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olo when three letters picked without replacement from looolooloooooooo.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 210\/3895429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 3*c. Let v(p) = -3*p**2 - 6*p. Let w be (-4 + 9)\/(-1 + 2). Let l(b) = w*g(b) - 3*v(b). Suppose 0 = 2*n + n - 12. What is l(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05027 to 3 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13060285999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 4*z. Let l(o) = 295*o**3 - 8*o**2 - 43*o. Let r(t) = l(t) + 9*m(t). Find the second derivative of r(c) wrt c.\nAnswer: 1770*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 2. Is 2 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 27, -18, -5, 5, 2, 6 in descending order.\nAnswer: 27, 6, 5, 2, -1, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(252))*-3 - 2*sqrt(112)*4*4.\nAnswer: -74*sqrt(7) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419801*v**3 + 19 - 29 + 419800*v**3 + 10.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 62014*p - 2. Calculate a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 15 = -l. Let s = -46 - l. Let f be 20\/(-3)*(-8)\/20. Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 12*y**2 + 4*y + 17. Let a be j(-12). Let k = -29 - a. Suppose 10 = -2*t, -2*o + k*t + 72 = -o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 115. Calculate the remainder when (-5)\/q + (-66)\/(-5) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41617 (base 13) in base 2?\nAnswer: -11100101011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(243)*-4 + 3 + 1*sqrt(243))*5)**2.\nAnswer: -4050*sqrt(3) + 54900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-1 + -4 + -3.\nAnswer: -7 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7878 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 12000 = -41*u. Suppose -19*z = -9*z - u. Suppose -2*c - 52 = -4*c + 4*p, -c + 24 = -3*p. What is the greatest common factor of c and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2 + 2)*(3 - 4). Which is smaller: -15\/22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12116 - 150*h + 12116 - 4*h - 2*h + 0*h + (0 + 3 - 1)*(-3*h + 0*h + 4*h) to u*h + w and give u.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013428108 to four dps.\nAnswer: 0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/1848*8)\/((-134)\/1876)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -1.1. Let k = -0.36 - -0.06. Let b = -0.3 - k. What is the closest to p in b, -0.4, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + (-72)\/(-8))*(-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 7*l + 9. Let x(o) = -o - 4. Let d be x(-4). Suppose -3*s - 2*a + 28 = d, 3*s = 7*s + 2*a - 34. Let z be i(s). Solve 4 = -t - z*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9130 + 9214. Let f(x) = -80*x**2 - 4*x + 5. Let o(g) = 81*g**2 + 3*g - 4. Let v(j) = 3*f(j) + 4*o(j). Let q be v(1). Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/3 (b) 1\/4 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -4, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 253013, -1\/4, 5, 2, -3\/7 in ascending order.\nAnswer: -3\/7, -1\/4, 2, 5, 253013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 8*g + 162. Determine j(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 0.2 (b) -3 (c) -3\/7 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6*s. Let x = s - -2. Factor f**2 + 0 + 2 - f + f**x - 3*f.\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 51, -5, -1\/8, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9009072 and 9009072.\nAnswer: 9009072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxw when three letters picked without replacement from {e: 1, n: 5, x: 4, k: 1, w: 4}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2452*u + 19 = -14*c - 2457*u, 0 = 4*c - 4*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 26 - 85 = 0. Suppose 4*q - 53 = a. Suppose -3*c - c + q = 0. What is the least common multiple of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 2. Let b(a) be the first derivative of -a**2 + 164. Let g(u) = -3*b(u) + 2*p(u). Give g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 651*v + 19. Let r be f(5). Let n(s) = -28*s**3 - 8*s**2 + 2*s + 1. Let z be n(4). Let t = z + r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 6. Let w(z) = -z + 8. Let g be w(11). Let b = g + f. Which is smaller: 1\/2 or b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o + 12. Let g = -0.9 - -1. Let w = -3.9 + 4. What is the closest to g in o, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4248\/17 + 250. Is l at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 3*x**2 - x - 21. Let l be z(0). Let c = -24 - l. What is the remainder when 39 is divided by (c\/(-5))\/((-22)\/(-110))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -12\/49, -5, -3, 2\/5?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1, -1 in ascending order.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049458 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24212160 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than or equal to -49.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 + -44. Let f be i - 0 - 24\/(-4). Suppose -57 = -f*n - n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1984*f**3 + 1317*f**2 - 31*f - 71990 wrt f?\nAnswer: 11904*f + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65\/6 - -25\/3. Let t = 8130869\/9 + -901913. Let z = -1512 + t. What is the common denominator of k and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 4\/75, 1\/10, -0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1045, 2094, 3143, 4192, 5241, 6290?\nAnswer: 7339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27980560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooloooooloooollo. What is prob of sequence oo?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3*b*b*b)\/b**1)**11 assuming b is positive.\nAnswer: b**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4242*w**4 - 185*w**3 - w**2 - 14421*w - 191 wrt w?\nAnswer: -101808*w - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/6558356?\nAnswer: -3\/6558356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 146, 145, 164, 209, 286, 401, 560?\n\"Answer: g**3 + g**2 - 25*g + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by -1.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 0 (b) 3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o + 10. Let n be (1\/o)\/(2\/42). Solve -2*j = 3 + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/24))**16\/(h\/(h\/(h\/(h*h*(h**(-28)\/h)\/h))))**(-21) assuming h is positive.\nAnswer: h**(1829\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238230428.\nAnswer: 2, 241, 421, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 5*w + 369. Let t be p(-17). Let y(k) = 4*k**3 + 2*k**2 - k + 7. Let r(j) = 3*j**3 + 3*j**2 + 6. Let g(n) = -3*r(n) + 2*y(n). What is g(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 54*s - 56*s + 3*b, 22 = 3*s + 4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by 93532?\nAnswer: 25\/93532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 10*o**2 - 10*o. Let u be 4\/(-2) - (4 + 3). What are the prime factors of i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410724 = -m + 410722, 5*k - 250 = -5*m for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-15)*(-100625)\/(-7875).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 69, -1 in increasing order.\nAnswer: -5, -2, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(66) + (sqrt(66) - (sqrt(66) + (4*sqrt(66)*2 - sqrt(66)) - sqrt(66))))\/(sqrt(150)*-2 - sqrt(216)\/sqrt(9)).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -98 + (-22 + 14 - (16 + -24 + 1))?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2476, 11508, 36022, 83758, 162456, 279856, 443698, 661722?\n\"Answer: 1290*n**3 + n**2 - n + 1186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/(1\/12). Let g = s + 12. Let d = g - -10. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -5*z - 16*n + 246485, 2*z + n = 98591. What is z rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1455772864 to the nearest integer?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(240\/144)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11403248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -51, -64, -77, -90?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*p*x - 9*d*x**2 + 1731*d*x + 3881*p*x**2 - p*x wrt x?\nAnswer: -18*d + 7762*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -27*h + 4. Let d be u(-4). Let z be (-2)\/(-2 + d\/58). Suppose -z = -5*k - 4. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.16341818\nAnswer: 0.08170909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 1755 - 31*a - 1842 + 35*a - 4*a.\nAnswer: -12*a**3 - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 1063*t - 20470. What is b(-19)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -60\/873359?\nAnswer: -60\/873359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2, z - r - 78 = -4*z. List the prime factors of 4 + z - 4\/(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 + 3*p + 12. Let n(c) = 2*c**2 + 3*c + 12. Let d(l) = 5*n(l) - 4*y(l). What is the remainder when d(-7) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -167*v**2 + 69*v**2 + 53*v**2 - 3*v**2 + 2*v**2 + 3*v**2 + (v**2 + 2 - 2)*(-4 + 0 + 3) - 2*v**2 + 3*v - 3*v.\nAnswer: -46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 12:59 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d4 + 14?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = -4 - 2. Solve -6*f + 0 + 24 = r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 10*s. What is o(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 1\/8*l**4 - 1\/20*l**5 + 0 + 32*l + 3\/4*l**2 + 2\/3*l**3. Suppose j(u) = 0. What is u?\nAnswer: -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(300)*1*-4 + sqrt(300) + sqrt(300) + -2 + 1))**2 - (((sqrt(300) - (sqrt(300) + 0)) + -3 + 1*sqrt(300) + sqrt(300) + 0)**2 + -4).\nAnswer: 760*sqrt(3) + 18011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -483.64327 rounded to the nearest ten?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/7 + 594*r\/7 - 252 = 0.\nAnswer: 3, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.23 - 4.23. Let w = -35\/2 + 18. What is the closest to w in i, 4\/5, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let i = 25 + -24.66. Let g = i - -0.16. Which is the closest to -0.1? (a) t (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 24. Let b be t(6). Suppose b*d - 112 = -d. Suppose 0 = -5*n + 64 + d. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 30*v**2 - 17 - 5 - 5 + 5*v + 2*v. Is l(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**3 + 3*d**2 + 2. Let b(f) = -15*f**3 - 9*f**2 + f - 6. Let k(u) = -2*b(u) - 7*s(u). Let y(v) = -v**3 - v**2 - v - 1. What is -k(r) + 2*y(r)?\nAnswer: 3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14727566 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + sqrt(175))*-6 - (0 + sqrt(175))*-3) + (3*sqrt(175)*2 - (sqrt(175) + sqrt(175)*-2 + 1)).\nAnswer: -37 + 125*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 804 - 800. Let a(w) = w + 5. Let u(p) = 2*p + 6. Suppose -3*i - 19 = -6*d + 4*d, 23 = -3*i + 4*d. Determine i*a(s) + n*u(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000358669127 rounded to seven decimal places?\nAnswer: -0.0003587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z**3 - 62*z**2 - 1352*z. Let v(u) = -28*u**3 + 63*u**2 + 1352*u. Let j(t) = -4*i(t) - 3*v(t). What is the second derivative of j(h) wrt h?\nAnswer: 72*h + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000523 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.065 + -0.02. Round i to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (21651\/64953)\/(81\/(-2))?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-seven fifths of a kilogram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 970, -5, -1\/2, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -163\/5 - -36. Factor -u**3 - l*u**2 - 4\/5 - 16\/5*u.\nAnswer: -(u + 1)*(u + 2)*(5*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 + 7) - (-8 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442252?\nAnswer: 2, 110563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -176, -191, -214?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, m: 3, z: 4, t: 3, j: 1}. Give prob of sequence tjq.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2595?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-8)*g)**42 assuming g is positive.\nAnswer: g**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1893*n - 13121. Let m be j(7). Suppose 0*y = 5*y - 325. What is the highest common factor of m and y?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485756.\nAnswer: 2, 3, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0 = 3. Let v be 2\/(1 - a - 12). What is the nearest to -1 in v, 0.3, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84886?\nAnswer: 2, 42443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5687 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = 21*y - 95*y + 324. Solve -y*f - 1328 + 1322 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 equal to -2825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 = 0, -j - 98 = 2*j + 4*f. Let k be (j\/9)\/(8\/(-12)). Suppose -5*x = 4*p - 299, 2*x - 106 = -0*x - k*p. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -10871.651\nAnswer: -108716.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 102054305 - -133?\nAnswer: 102054442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2296 - -449. Calculate the highest common divisor of c and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 700488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 18 - 39 + 0*x - 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4, 1.5, 6\/7, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6045453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87\/(-21) - (-3 + 1). Let p = -104 + 116. Let k = p + -15. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 - 82. Let f(o) = o**2 + 2. Let v be f(3). Calculate the highest common divisor of v and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 113, 171, 229, 287?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(3) + 2)*-6.\nAnswer: -6*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186879590?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven fifths of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 280, 317, 364, 421, 488?\n\"Answer: 5*o**2 + 22*o + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1738 and 20.\nAnswer: 17380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -105 - 130. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506712?\nAnswer: 2, 13, 24103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80348 and 2463228.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmunmxm. Give prob of sequence umx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g - 13. Let z = 17 + g. Suppose y - z = -2*c + c, -3*c = -3*y + 90. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmq when three letters picked without replacement from mqqmqquqmmumm?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**3 - 5*c**3 + 2*c**3)*(-29 - 38 + 22).\nAnswer: 315*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 713? (a) -19.7 (b) -1\/8 (c) 0.5 (d) -1\/6 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -158*b**3 - b**2 + 6*b + 4. Suppose 4*z - 2*w - 20 = 0, 0*w + 3*w = 4*z - 22. Let y be h(z). What is y rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -5\/4*s**4 + 0*s**2 - 4\/3*s**3 + 0*s + 2. What is the third derivative of q(r) wrt r?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9077840 and 445328.\nAnswer: 118011920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - y**2 + 0 + (2 + 0 + 2)*(34*y**2 - 108 + 108) - 3*y**2 + 3*y**2 + 5*y**2.\nAnswer: 140*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 99839055 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 620 + -40301\/65. Let h be ((-3955)\/140 - -23) + 5. What is the closest to h in k, 2\/7, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04696 + 13.04696. Which is the second biggest value? (a) 5 (b) 2\/9 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150976 divided by -2\nAnswer: -75488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316422201?\nAnswer: 3, 23, 4585829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 8:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 252 - 17. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**5 + 48*c**4 + 140*c**3 - 48*c**2 - 144*c = 0. Calculate c.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 6)*(-7732*s + 28*s**2 + 7732*s) as z + i*s + r*s**2 and give r.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57186.9778406 and -0.56?\nAnswer: 57187.5378406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 4\/9 (c) 530\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2 + (-4 - -6)). Let s be (-8996)\/(-8) - q\/2. Suppose 3*y + 2*g - s = 0, 0*y + 758 = 2*y - 2*g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131356*g**5*w + g**2*w**3 - 2*g*w**3 - 3*g*w + 23*g - 292*w**3 wrt g?\nAnswer: 2627120*g**3*w + 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*t = 24, 3*v - 5*t = 4*v + 1. Suppose 82*r - 98*r = 0. Suppose r = -d - y + 79, d + v*d - 419 = y. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 12404, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 495?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enve when four letters picked without replacement from {n: 1, v: 1, s: 1, e: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -32*c. Let w(m) = 17*m**2 - 6*m - 12. Let r(g) = -407*g**2 + 143*g + 286. Let j(n) = -6*r(n) - 143*w(n). Calculate l(j(x)).\nAnswer: -352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -7*p. Let t(y) = -y + 6*y**3 - 1 - 2*y**p + y**2 + 6*y**3 + 4*y. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - (13 - 2)) + 1 + -2 + 1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2\/11 (c) -1601 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11246\/27 - -84643\/108. Let h = p + -1192. Let a = -415\/2 - -203. Find the common denominator of h and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84584 is divided by 9398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 2. Let b = 3 + -2. Let z be 3*1 + (-8 - (-1 - 9)). Solve -5*u = -c*h + b, 4*h - 1 = z*u - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 40 = 5*w, 5*w + 9 = 3*h - 21. Suppose -p = -5*g + p + h, 0 = 2*g - 4*p - 20. Suppose -3*n = -g*n + 3*i + 3, -i = -3*n + 17. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 3. Suppose 0 = -s - 4*s. Let a be w(s). Suppose a = -5*z + 8. Let l(y) = y - 1. Give l(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**3 - 7*h**2 - 3*h - 39. Let q(x) = 4*x**3 + 11*x**2 + 5*x + 56. Let d(y) = 5*q(y) + 7*w(y). What is d(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -5*m + 432. Let j = m - 55. What is the remainder when 89 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011010111 (base 2) to base 8\nAnswer: -4327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3229 + 3229 - 6456 + 39*i - 351*i.\nAnswer: -312*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/15)\/((-2)\/12). Let k be 4\/1*1 + w. Let a(u) = u + 9. Let x be a(-6). Solve -x*r - 1 = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*m - 62*m - 41 = 0. Solve -3*p + 2*q + m = 12, -2*q = 3*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -40. Suppose -y*k + 4 = 2*v + 2*v, k - 3*v = 16. Solve -k*o - 6 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m = -20. Suppose m*y = -4*g, 3*y - g = -y. Suppose u + u - 16 = y. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 - 2*x**3 - 11*x**2\/2 - 8*x - 63. Let y be p(-4). Solve 3*a = -a - 2*t + y, 3*a = t + 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 1\/30*d**5 + 8*d**2 + 0 + 0*d - 1\/3*d**3 + 1\/8*d**4. Let v be f(1). Solve v + 0 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijeiiaaijeia. Give prob of sequence jei.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*h + 229*h - 182*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/19))**(8\/3)\/(f**17)**(-5) assuming f is positive.\nAnswer: f**(1623\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 12:54 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 159766001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -214635 divided by -3\nAnswer: 71545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1074 - 814. Let x be (-5)\/(-20) - (-143)\/g. Factor -16\/5 - x*w**2 - 16\/5*w.\nAnswer: -4*(w + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 647*s**2 - 647*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-7\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (652 - 612)*((0 - 6\/(-39)) + (-48)\/(-195)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(11925\/(-4995))*20\/(-4)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -21 (b) -5 (c) 0.5 (d) -0.4 (e) -1534\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386255 is divided by 10438.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1800) - (sqrt(1800) + -5)**2) + -2 + (sqrt(144)\/sqrt(200) - ((sqrt(450))**2 + 0)))*1.\nAnswer: -2277 + 1653*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-18) - 10850\/(-63). Suppose 2*t + t + 68 = 2*c, -4*c = 3*t - g. Suppose 0*y - 4*d + c = 3*y, -3*d = -3. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2412568960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172431177 a multiple of 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 9 + 3. Suppose m + r - 6 = 0, m + 4 = r + s*r. Suppose 5*c = -m + 14. Solve -h - 3 = c*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -757, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-i + 0*i + 0*i) + i - 5*i + 3*i - i + 0 + 0 + 12 - 12 + 2*i + 0*i - 3*i + 4*i + (5*i - i - 2*i)*(2 - 2 - 2) - 8 + 8 - 2*i + 2*i + 5*i - 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 350*n + 170*n + 3120 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**5\/20 - 11*a**4\/12 - 2*a**3 - 4*a**2 - 3*a. What is the units digit of n(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 26*r**2 + 27*r + 9. Let f be v(-27). Suppose 5*g - 7 - 7 = 4*l, 4*g = l + f. Solve -2*w = g*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 7*m**6\/6 - m**3\/3 + 11*m - 36. Find the third derivative of n(b) wrt b.\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 33, -3\/4, -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 3*h - 3. Let m be d(2). Let f = 8 - m. What is the lowest common multiple of (-3 + 4\/2)*-1 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/3*(-3 - 0). Let b = 17 - i. Suppose u - b + 4 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 173299*s + 1906330. Determine c(-11).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111563959 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 13100?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2 - 2 + z**3 - 2 + 0*z + 0*z + (-5*z**2 - 4*z**2 - z**2)*(-3*z - 1 + 1).\nAnswer: 29*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11190, -894, -4 in ascending order.\nAnswer: -894, -4, 0, 11190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/10)\/(((-3569)\/430)\/(-83))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16973408.\nAnswer: 2, 131, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 20*j. Let f(a) = 1779157*a. What is f(q(p))?\nAnswer: 35583140*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) + (-6)\/(-8). Let v be (-1 + 2)*p*2. Determine q, given that q + 1\/3*q**3 - q**v - 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15*j = -240. Factor -j*g**2 - 4*g**3 - 362 + 6*g**3 - 8*g + 2*g**4 + 410.\nAnswer: 2*(g - 2)**2*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148225 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 3*o - 9. Calculate the common denominator of (2 - (-519)\/(-66)) + 3 and ((-249)\/(-20) - 4) + o.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.02 plus 4090.1?\nAnswer: 4124.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30792813313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/280 and 53\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -5)\/(837\/(-31) - -21) - 42\/(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 400\/1600*(1 + (-1 - 1076)). Which is the third smallest value? (a) -3 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9699*n - 3298 = 9602*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 36 - 230 = -v, 2*j - 4*v - 82 = 0. Let n(z) = -7*z**3 + 2*z**2 - 2. Let x be n(-1). Solve 5*o - x = -3*c - j, 4*o + 32 = -4*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*w + 1 = -33, 0 = 2*y - 2*w - 22. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.028 + -210.672. Let o = 208.362 + m. Let i = o + 0.038. What is i rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 276 = 4*s, 4*s + 2*p = 7 + 249. Suppose -v = -4*v + s. Factor 3 + 3*r**4 + 20*r**2 + v*r**3 + 12*r - 10*r**3 - 2*r**2.\nAnswer: 3*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0788 + 0.4212. Which is the nearest to 6? (a) 3 (b) -7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*m + 20, 7*m - y - 58 = 2*m. Let n(l) = -3*l**2 + 56*l - 188. Let c(o) = 2*o**2 - 37*o + 122. Let s(f) = -14*c(f) - 9*n(f). Calculate s(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(-53 + 53 + 16*m**2).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**8\/8 + p**4\/6 - 14*p. What is the third derivative of w(s) wrt s?\nAnswer: -840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 9*a**2 + 9*a + 1. Let t(n) = -n**3 - 2*n**2 + n + 4. Suppose 3*h + 0 = 4*q + 3, -21 = 2*q + 5*h. Let s be t(q). Is k(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 - 7*m - 9. Is z(-4) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k. Let c(j) = -1. Let v(f) = f - 1. Let y(r) = c(r) - v(r). What is y(o(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.26 - -27.26. What is the closest to -4\/5 in -2\/5, p, 1\/3, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9*138\/(-6) - 1?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05637 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 308 + -306.61. Let v = x + -0.09. What is the second smallest value in v, -1\/8, -5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-5) + 2 + 95\/(-25). Sort 0, w, 2, -4 in decreasing order.\nAnswer: 2, 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(2\/19)*p*p)\/p**(-4))\/(((p*p**7)\/p)\/((p*p*p**(-15))\/p)) assuming p is positive.\nAnswer: p**(-249\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -60. What is the remainder when 4 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 5*p + 3. Let f be a(4). Let i = 150 - f. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-550)\/1750) + -47?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tththtttttth. Give prob of sequence hhh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5627.20371 to the nearest 10.\nAnswer: -5630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3138162 to 3 dps.\nAnswer: -2.314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5 = d - 21, 0 = -2*d - 5*t + 50. Suppose -2*r + d = 2*r. Differentiate 3 + 3 - r*o + 2*o wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 34*t**2 + t. Let c be 4\/(-26) + 33\/(-39). Is r(c) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 54?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6679?\nAnswer: 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38766 is divided by 9672.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3904 and 305.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 331213220?\nAnswer: -331213233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/15)\/a**(3\/4))\/(a**(2\/9)*a**(-2)) assuming a is positive.\nAnswer: a**(209\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2 - 3 + 2*q**3 - 11*q**3 + 0*q + 5*q + 4*q = 0. What is q?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -6a208?\nAnswer: 6a1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*q - 2*l - 3, -5*l = -15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhthvhtfttthfft. What is prob of picking 1 v and 3 f?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/17 - 128*t\/17 - 990\/17.\nAnswer: -2*(t + 9)*(t + 55)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 338. Let t = d - -232. Is 40 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441349 to the nearest integer?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922809.\nAnswer: 3, 29, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/3 and (7\/(-3))\/((-209)\/(-228))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -11373722?\nAnswer: -11373721.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**4\/3 + i. Let y(t) = -2. Let v(b) = -b + 10. Let f(d) = -2*v(d) - 10*y(d). What is u(f(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 37 - ((-2 - -5) + 12)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-3 + 12\/5). Let t be g*(-2 + (-24)\/(-9)). Let a(i) = -3*i - 1. What is a(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/309690 and -193\/19980.\nAnswer: 619380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**8\/1176 + b**7\/735 + b**6\/140 - b**5\/42 + b**4\/42 - 2*b**2. Determine t, given that d(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-13 - -1 - -23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - c. Let k(o) = 88*o**2 - 72*o. Suppose 2*p = -5*d + 318, 4*p - 5*d + 10 = 556. Determine p*r(w) - 2*k(w).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 869401.3us in nanoseconds?\nAnswer: 869401300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 + 1 + 130\/14. What is the highest common factor of 160 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 1, j: 2, n: 1, l: 1, f: 1}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 63. Let y(a) = 8 + 6 + a - d - 3. Let q be y(-9). Solve -k + 3 = -q*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*x + 36 = -149*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5, 339, -15\/283?\nAnswer: -15\/283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from clllcqltlrtrltlct?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.2105ug to milligrams.\nAnswer: 0.1762105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -276 - -63.2. Let g = t + 246. Let h = g + -33. Sort -2\/5, 2\/13, h, 6\/7 in increasing order.\nAnswer: -2\/5, 2\/13, h, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 not equal to -10945\/318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 less than or equal to 1405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 863091112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(210)\/sqrt(250))\/(2*sqrt(192) + sqrt(6)\/(1*sqrt(2))).\nAnswer: -6*sqrt(7)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/10*(-430)\/86. Suppose 4*d - 1 = 51. What is the highest common factor of j and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3. Let z(b) = -19*b**2 + 57. Let v(t) = 19*s(t) + z(t). Let p(q) = 20*q**2. Calculate p(v(n)).\nAnswer: 7220*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 359*d**2 + 56 + 5 - 62 in the form g*d**2 + z + w*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4556521.5 rounded to the nearest 10000?\nAnswer: 4560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0550054 to four dps.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 5, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-135 - 4) + 1. Let n = -28 - -16. Let g be 9\/n + (-107)\/c. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -32*k**3 - k**2 + 5*k - 4. Let t be z(3). Calculate the common denominator of (-459)\/(-85) - 5 - t\/1020 and 27\/22.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 + 1146*u**2 + 324*u + 683. Calculate y(164).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 152 = 6*d, -274975*d + 2*m = -274972*d - 74 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 3060\/21. Let p be (-3)\/12 + i\/8. Suppose -7 = -4*d + 5. Solve -d*g = -2*j - 2 + 13, 5*j = -2*g + p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53020046 and -4?\nAnswer: 212080184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 33*x - 50 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + 0.8. Let b = d + 2.4. What is b rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 70 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517 (base 10) to base 7.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/24 + 4*z**3\/3 - 2*z**2. Let w be v(-6). Suppose 3*f = -3*c + 27, 4*f - 14 - 12 = -w*c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 27*c + 137, -26*h - 29 = -27*h + 4*c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200 - 1022222?\nAnswer: -1110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 14*f**3 + 728*f**2 - 2*f - 109. Calculate z(-52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 106 and 24857?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x - 20*x - 16*x + 20*x)*(-1 + 1 - 2).\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + l**2 + 1. Let o(h) = -38*h**3 - 19*h**2 - 19. Determine -19*g(x) - o(x).\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 5*s + 21 = -7*g, g - 8 = -2*s. Suppose -5*f = g*z + 5, -2*z + 3 - 2 = -f. Solve z = -x + 3 - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 159.9 + -153. Let o = 6.90207 - i. Round o to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1170)\/(-70) + -2 + 48\/21. Let v(g) = -3*g + 93. What are the prime factors of v(l)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665 = -47*u - 356 + 1195 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -198, -67 in ascending order.\nAnswer: -198, -67, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*-6*-4. Let w be n*10\/45*27\/2. Suppose 2*k - 87 = 5*r, 22 = 3*k - 3*r - 95. What is the greatest common factor of k and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*u - 7 = -24, -5*u - 13 = 4*h. Suppose 143*w - 147*w + 5*l = -20, 5*l = -2*w + 40. What is the lowest common multiple of (-162)\/(h - 0)*-1 and w?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 0*s + 0*s - s**2 + 0*s. Let y = -28380 + 28384. Determine h(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 2*w = 338, -318 = z - 3*w. Is (-32307)\/z + (-3)\/(0 - 30) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 - z - 1. Let s be 606\/10 - (-12)\/(-20). Let v = -61 + s. Let l be m(v). Solve g - 12 = -3*g, -3*g = -l*p + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}